A Graphical Approach to Precalculus with Limits (7th Edition)
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The expressions for and that are entered in the ... more
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To solve the systems of equations, number the ... more
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To solve the systems of equations, number the ... more
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To solve the systems of equations, number the ... more
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To solve the systems of equations, number the ... more
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; To solve the systems of equation by the ... more
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; To solve the systems of equation by the method ... more
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; To solve the systems of equation by the method ... more
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; To solve the systems of equation by the method ... more
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; To solve the systems of equations by the method... more
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; To solve the systems of equations by the method... more
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; To solve the systems of equations by the method... more
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; To solve the systems of equations by the method... more
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; To solve the systems of equations by the method... more
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; To solve the systems of equations by the method... more
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; To solve the systems of equations by the method... more
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; To solve the systems of equations by the method... more
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; To solve the systems of equations by the method... more
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; To solve the systems of equations by the method... more
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No solution. ; To solve the systems of equations ... more
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No solution ; Given equations are . Multiply first... more
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; Given system of equations is , . Using the ... more
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; Given system of equations is . Move terms in ... more
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; Given system of equations is and . Add the two... more
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; Given system of equations is and . Add the two... more
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; Given system of equations is and . Add the two... more
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; Given system of equations is and . Add the two... more
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; Given system of equations is and . Multiply ... more
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; Given system of equations is and . Multiply ... more
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; Given system of equations is and . Multiply ... more
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; Given system of equations is and . Multiply ... more
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; Given system of equations is and . Multiply ... more
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; Given system of equations is and . Mutiply ... more
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; Given system of equations is and . Multiply ... more
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; Given system of equations is and . Mutiply ... more
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; Given system of equations is and . Mutiply ... more
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; Given system of equations is and . Multiply ... more
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; Given system of equations is and . Multiply ... more
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; Given system of equations is and . Multiply ... more
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No solution ; Given system of equations is and . ... more
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There is no solution of this system. ; Multiply eq... more
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; To eliminate from both the equations multiply ... more
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, , where ; Since eq is multiply of eq. Hence... more
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, ; The LCM of , using this we can rewrite eq, eq ... more
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, . ; The LCM of , using this we can rewrite eq, ... more
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, . ; The LCM of and using this we can rewrite ... more
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, ; The LCM of and LCM of , using this we can ... more
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, ; To solve the system of linear equations first ... more
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, ; Adding equation and we get now putting ... more
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, ; To solve the system of linear equations first ... more
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, ; Multiply equation by and by , Solving ... more
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When one equation is a multiple of second equation... more
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and for other there is no solution. ; When ... more
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Let us assume the equation of a circle to be ... more
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Let us assume the equation of a circle to be ... more
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Let us assume the equation of a circle to be ... more
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There can be many cases in which a line and a ... more
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Here, the parabola is and line is , and the point... more
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Let the parabola be and line be .Substitute ... more
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There can be many cases in which a circle and a ... more
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Consider a circle with unit radius and center at ... more
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From the graph, the intersection point is the ... more
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It can be observed that, from the graph the ... more
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From the graph, the intersection points are the... more
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From the graph, the intersection points are the... more
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From the graph, the intersection points are the... more
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From the graph, the intersection points are the... more
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From the graph, the intersection points are the... more
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is the solution. ; Consider the nonlinear system ... more
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; To solve the systems of equation and , ... more
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; Consider the nonlinear system of equations (1) ... more
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; Consider the nonlinear system of equations (1) ... more
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; To solve the systems of nonlinear equations ... more
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. ; Let the nonlinear system of equations and . ... more
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From the graph, it can be observed that are the... more
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From the graph, it can be observed that is the ... more
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From the graph, it can be observed that is the ... more
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No intersection is there. Therefore and ... more
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-10.639,5.639 ; From the solution of (79), the ... more
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2005 ; From the graph, it is seen that, after 2005... more
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No ; The pre-disaster population for Location N is... more
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2006-14 ; The graph shows that, the population for... more
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; The two graphs coincide at approximately. ; more
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(2005,1.25) ; The point at which the two graphs ... more
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Constant,Decreasing,Increasing ; The graph of ... more
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Year, Population ; The t-axis is Year in the graph... more
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A function represents the binary relationship ... more
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$ 310 in 2014; $ 279 in 2016 ; Let x denote the ... more
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; Assume length of side = , breadth of side = , ... more
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; Let length of box = , breadth of box = , height... more
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1250,3750 ; Let the two investments be called The... more
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at rate of interest at rate of interest ; ... more
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since, the maximum height mentioned is , equate ... more
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since, the maximum height mentioned is , equate ... more
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radius is height is ; The volume of a cylinder is ... more
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No ; Volume of a cylinder is and total surface ... more
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; Solve the system of equations by the method of... more
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; Form the equations. ; No.of cars entering any ... more
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Equilibrium price Units ; Solving the given ... more
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Break point x = 2100 items.Cost C = 52000 dollars... more
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Break point x = 65 items.Cost C = 385 dollars.... more
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; Substitute the value of and in the given set ... more
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; The two equation in t and u are given by ; ... more
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and ; After substitution of 1/x as t and 1/y as u... more
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; Solving the first equation for y in terms of x ... more
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; Solving the second equation for y in terms of x... more
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In the plotted graph the functions intersect at ... more
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and ; Given system of equation ; Substitute and... more
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and ; Given system of equation ; Substitute and... more
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and ; Given system of equation ; Substitute and... more
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and ; Given system of equation ; Substitute and... more
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The given triplet set is a solution for the given ... more
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The given triplet set is a solution for the given ... more
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The given triplet set is a solution for the given ... more
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The given triplet set is a solution for the given ... more
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The given ordered triple is a solution of the ... more
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The given ordered triple is a solution of the ... more
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; Adding second and third equationsThis gives: ; ... more
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; ; Adding equations 2 and 3 ; Since ; Since... more
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; ; Adding equations 2 and 3 ; From equation ... more
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; ; Multiplying equation 2 with, 2 and ... more
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No soultion ; ; Adding equation 1 and 2 ; ... more
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Infinite solutions of the triple state : ; ; ... more
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; ; Adding equations 2 and 3 ; Adding equations... more
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; ; Subtracting equations 2 and 3 ; Adding ... more
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; ; Multiplying equation 1 by -2 and adding it... more
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; ; Multiplying equation 3 with 4, and ... more
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No solution ; ; Multiplying equation 1 with 2 ... more
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No solution ; ; Multiplying equation 1 with -3... more
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; ; Multiply equation 1 with -2 and add the ... more
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; Adding equations 1 and 3 ; Multiplying equation... more
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; ; Multiplying equation 1 with -3 and adding ... more
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; Multiplying equation 2 with 4 and adding it to ... more
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; Multiply equation 1 with -3 and the resulting ... more
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; Multiplying equation 1 with -3 and adding it ... more
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Solution: ; Multiply the equation by -2 and add ... more
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Solution: ; Multiply the equation by and add it ... more
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Solution: ; Multiply the equation by and add it ... more
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Solution : ; Solve the equation for the value of... more
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; Multiply the equation , multiply it by and add... more
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; Multiply the equation by -2 and add it to the ... more
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; Multiply by -1 and add it to ; Add and and ... more
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; Multiply the equation by -1 and and add it to... more
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; Multiply by -3 and add it to ; Multipy by -8 ... more
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; Multiply by -1 and add it to ; Substitute the ... more
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; Add both the equations to eliminate . ; Solve ... more
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; Multiply the equation by 2 and add it to the ... more
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; Multiply the equation by -3 and add it to the ... more
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; Multiply the equation by -2 and add it to the ... more
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; Rewrite the equations by substituting the value... more
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; Rewrite the equations by substituting the value... more
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; Rewrite the equations by substituting the value... more
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; Rewrite the equations by substituting the value... more
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No solution ; Multiply the equation by -1 and ... more
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No solution ; Multiply the equation by 3 and add ... more
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No Solution ; Given Equations are: ; ; Eliminate... more
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; Given Equations are: ; ; Eliminate z by ... more
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; Given Equations are: ; ; Eliminate y by ... more
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; Given Equations are: ; ; Eliminate x by ... more
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; Given Equations are: ; ; Multiply (3) by -1 ... more
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Number of Pennies = 12Number of Nickels = 13Number... more
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120 gallons of $9.00 per gallon, 60 gallons of $3.... more
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30 barrels, 30 barrels210 barrels ; Let x= number ... more
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No solution exists; Data given is invalid ; Let ... more
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No solution exists; data given is wrong as amount ... more
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Number of Facebook users = 123 millionNumber of ... more
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Number of followers of L'Oreal = 27 millionNumber ... more
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Smallest Angle = 40°Medium Angle = 65°Largest ... more
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Smallest side = 14 inchesMedium side = 17 ... more
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Money invested in first part = $3000Money invested... more
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Amount invested at 5% = $50,000Amount invested at ... more
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; Let x= Number of EZ modelsLet y= Number of ... more
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; Let x= Number of buffets producedLet y = Number... more
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; The general equation of a parabola is: . So, ... more
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; The general form of a parabola is: . So, we ... more
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; The general form of a parabola is: . So, the ... more
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; The general form of a parabola is . Substitute ... more
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; The general form of a parabola is . Substitute ... more
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; The general form of a parabola is . Substitute ... more
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; The general form of a parabola is: . Substitute... more
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; The general form of a parabola is . So, replace... more
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; Replace the value of in the given function and... more
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; Replace the coordinate in the general form of ... more
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; Replace the given coordinates in the standard ... more
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; Replace the given coordinates in the given ... more
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; Replace the given coordinates in the standard ... more
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; Replace the given coordinates in the standard ... more
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; The general form of equation of a circle is: . ... more
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; Obtain the first equation by substituting the ... more
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; Replace the value of in the general form to ... more
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; Switch to the matrix mode on your calculator to... more
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The lower screen is easier to understand as ... more
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; Apply the row operation to the first row of ... more
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; Apply the row operation to the first row of ... more
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; Apply the row operation to the second row of ... more
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; Apply the row operation to the second row of ... more
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; Apply the row operation to the third row of ... more
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; Apply the row operation to the first row of ... more
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; There are two equations and in the linear ... more
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; There are two equations and in the linear ... more
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; There are two equations and in the linear ... more
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; There are two equations and in the linear ... more
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; There are three equations and in the linear ... more
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; There are three equations and in the linear ... more
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; The linear system of equations and can be ... more
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; The linear system of equations and can be ... more
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; The order of the augmented matrix decides the ... more
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; The order of the augmented matrix decides the ... more
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; The order of the augmented matrix decides the ... more
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; The order of the augmented matrix decides the ... more
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; The order of the augmented matrix decides the ... more
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; The order of the augmented matrix decides the ... more
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; Since the matrix in echelon form, generate the ... more
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; Since the matrix in echelon form, generate the ... more
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; Since the matrix in echelon form, generate the ... more
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; Since the matrix in echelon form, generate the ... more
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; Since the matrix in echelon form, generate the ... more
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; Since the matrix in echelon form, generate the ... more
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; Since the matrix in echelon form, generate the ... more
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; Since the matrix in echelon form, generate the ... more
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No solution. ; Since the matrix in echelon form, ... more
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No solution. ; Since the matrix in echelon form, ... more
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; To solve follow these stepsFirst write the ... more
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; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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; To solve follow these stepsFirst write the ... more
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; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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{} ; To solve follow these stepsFirst write the ... more
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; The augmented matrix is given by ; ... more
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; The augmented matrix is given by ; ... more
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In both augmented matrix and synthetic division; ... more
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Third type of row transformation on a matrix ... more
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There are two equations and three variables. ... more
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There are two equations and three variables. ... more
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The augmented matrix is given by Applying the row ... more
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The augmented matrix is given by Applying the row ... more
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The augmented matrix is given by Applying the row ... more
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The augmented matrix is given by Applying the row ... more
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The augmented matrix is given by Interchanging R1 ... more
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The augmented matrix is given by .Applying ; we ... more
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5 Model A bicycles8 Model B bicycles ; Let the ... more
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6 monitors3 printers ; Let the maximum number of ... more
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at . at at ; Let the amount borrowed at rate be... more
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The incoming traffic entering Junction A is ... more
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; Substitute 125 for , 19 for , for and 32 for... more
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; Multiply both sides of the equation with 2. ; ... more
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; Subtract from both side of the equation to ... more
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; Subtract from both sides of the equation then... more
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; Subtract the equation from the equation to ... more
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; Multiply both sides of the equation with 3. ; ... more
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; Write the system of equations as an augmented ... more
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; Write the system of equations as an augmented ... more
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; To obtain 1 at row 1, column 1, subtract all ... more
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; Let the number of products be represented by ... more
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; Let the amount invested in plan be represented... more
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Dimension and a square matrix. ; This is a ... more
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Dimension and a square matrix. ; This is a ... more
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Dimension ; This is a matrix having a dimension of... more
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Dimension ; This is a matrix having a dimension of... more
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Dimension and a column matrix. ; This is a matrix... more
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Dimension and a row matrix. ; This is a matrix ... more
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Dimension and a square matrix. ; This is a matrix... more
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Dimension ; This is a matrix having a dimension ... more
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, , and . ; According to the equality of ... more
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, , , and ; According to the equality of matrices... more
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, , and ; According to the equality of matrices, ... more
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, , , , , , and ; According to the equality of ... more
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, , , and ; According to the equality of matrices... more
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, , and . ; According to the equality of ... more
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For performing Addition of two matrices first both... more
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To multiply a matrix of dimension by a scalar , ... more
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; Since, dimension of both the matrices are ... more
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; Since, dimension of both the matrices are ... more
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; Since, dimension of both the matrices are ... more
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; Since, dimension of both the matrices are ... more
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; Since both given matrices have the same ... more
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; Since both given matrices have the same ... more
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not possible ; The first matrix has 2 rows and 3 ... more
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not possible. ; The first matrix has 2 rows and 1 ... more
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; Since all the three given matrices have the ... more
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; Since all the three given matrices have the ... more
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; Since all the three given matrices have the ... more
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; Since both the given matrices have the same ... more
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; Since both the given matrices have the same ... more
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; Since both the given matrices have the same ... more
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; Since both the given matrices have the same ... more
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; Since all the three given matrices have the ... more
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; To find , multiply each element of the matrix ... more
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; To find , multiply each element of the matrix ... more
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; To find , first evaluate .To find , multiply ... more
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; To find , first evaluate .To find , multiply ... more
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; To find , first evaluate and .To find , ... more
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; To find , first evaluate and .To find , ... more
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; Subtract matrix from both sides in and then ... more
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; First, multiply -1 to both sides in and then ... more
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Dimensions of AB is and dimensions of BA is ; ... more
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Dimensions of AB is and dimensions of BA is ; ... more
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Dimensions of AB is and product BA is not defined... more
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Product AB is not defined and dimensions of BA is... more
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Both products AB and BA are not defined. ; Matrix ... more
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Both products AB and BA are not defined. ; Matrix ... more
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columns ; To multiply two matrices, the number of ... more
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first row ; The ith row and jth column element of ... more
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; Given matrix A has dimensions of and matrix B... more
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; Given matrix A has dimensions of and matrix B... more
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Both products AB and BA are not defined. ; Given ... more
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and product BA is not defined. ; Given matrix A ... more
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; Given matrix A has dimensions of and matrix B... more
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; Given matrix A has dimensions of and matrix B... more
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Product AB is not defined and ; Given matrix A ... more
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and product BA is not possible. ; Given matrix A... more
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; Given first matrix has dimensions of and second... more
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; Given first matrix has dimensions of and second... more
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; Given first matrix has dimensions of and second... more
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; Given first matrix has dimensions of and second... more
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; The first matrix has dimensions 2x3 and second... more
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; The first matrix has dimensions 2x3 and second ... more
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; The first matrix has dimensions 3x3 and second ... more
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; The first matrix has dimensions 3x3 and second ... more
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; The first matrix has dimensions 1x3 and second... more
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; The first matrix has dimensions 1x3 and second ... more
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; The first matrix has dimensions 2x2 and second ... more
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; The first matrix has dimensions 3x3 and second ... more
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; The first matrix has dimensions 3x2 and second ... more
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; The first matrix has dimensions 2x2 and second ... more
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; The first matrix has dimensions 3x2 and second ... more
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; The first matrix has dimensions 2x3 and second ... more
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This product is not possible. ; For matrix ... more
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This product is not possible. ; To multiply two ... more
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; The first matrix has dimensions 2x2 and second ... more
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; The first matrix has dimensions 2x2 and second ... more
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The matrix multiplication is not commutative. ; ... more
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The matrices should be square matrices with equal ... more
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; Calculating the total population of female ... more
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First solving Left Hand Limit of the given ... more
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First solving Left Hand Limit of the given ... more
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First solving Left Hand Limit of the given ... more
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First solving Left Hand Limit of the given ... more
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First solving Left Hand Limit of the given ... more
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First solving Left Hand Limit of the given ... more
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First solving Left Hand Limit of the given ... more
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First solving Left Hand Limit of the given ... more
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; Using identity of Determinant D for matrix ... more
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-31 ; The determinant of a matrix given by ... more
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-3 ; The determinant of a matrix given by ... more
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7 ; The determinant of a matrix given by ... more
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-6 ; The determinant of a matrix given by ... more
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0 ; The determinant of a matrix given by ... more
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-2 ; The determinant of a matrix given by ... more
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-26 ; The determinant of a matrix given by ... more
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The Cofactor of the second Row elements is given ... more
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The Cofactor of the second Row elements is given ... more
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The Cofactor of the second Row elements is given ... more
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The Cofactor of the second Row elements is given ... more
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186 ; To find the Cofactor of an element, Find the... more
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50 ; To find the Determinant, first find the ... more
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17 ; To find the Determinant, first find the ... more
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10 ; To find the Determinant, first find the ... more
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166 ; To find the Determinant, first find the ... more
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-71 ; To find the Determinant, first find the ... more
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0 ; As the second row of the matrix has all the ... more
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0 ; As all the elements of the third column are 0... more
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0 ; To find the Determinant, first find the ... more
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; Let , be the entry of , be the minor of ... more
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; Let , be the entry of , be the minor of ... more
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; Let , be the entry of , be the minor of ... more
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; Let , be the entry of , be the minor of ... more
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; Let Since Therefore equating to 6 ; more
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; Let Since Therefore equating to 0 ; more
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; Let Since Therefore equating to 4 ; more
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; Let Since Therefore equating to 6 ; more
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; Let Since Therefore equating to 3 ; more
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; Let Since Therefore equating to 5 ; more
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; Let Since Therefore equating to -7 ; more
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; Let Therefore equating to ; more
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; Let Therefore equating to 96 ; more
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; Let Therefore det(A) is ; more
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; Let Therefore det(A) is ; more
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; Let Therefore det(A) by taking second column... more
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; Let Therefore det(A) by taking second column... more
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; Let denotes the area of triangle PQR with ... more
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; Let denotes the area of triangle PQR with ... more
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; Let denotes the area of triangle PQR with ... more
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7 ; Firstly find the determinet of the matrix Now... more
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3.5 ; Firstly find the determinet of the matrix ... more
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-17 ; Firstly find the determinet of the matrix ... more
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Collinear ; If the value of the determinet is ... more
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non-collinear ; If the value of the determinet is... more
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Non-collinear ; If the value of the determinet is... more
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Collinear ; If the value of the determinet is ... more
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Non-collinear ; If the value of the determinet is... more
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Collinear ; If the value of the determinet is ... more
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0 ; If for any matrix a complete row or column is ... more
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0 ; Let X be square matrix and let Y be another ... more
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0 ; Let X be square matrix and let Y be another ... more
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0 ; Let X be square matrix and let Y be another ... more
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16 ; Let be a square matrix and let be another ... more
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-49 ; Let be a square matrix and let be another ... more
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; By using Cramer's rule, solving the system of ... more
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; By using Cramer's rule, solving the system of ... more
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; By using Cramer's rule, solving the system of ... more
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; By using Cramer's rule, solving the system of ... more
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The solution set is where y is any real number... more
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; We have been given the equations, ; Converting ... more
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(x,y)=(2,3) ; Converting the given equations into ... more
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(x,y)=(3,-2) ; Converting the given equations into... more
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(x,y,z)=(-1,2,1) ; Converting the given equations ... more
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(x,y,z)=(3,-1,2) ; Converting the given equations ... more
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(x,y,z)=(-3,4,2) ; Converting the given equations ... more
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(x,y,z)=(-4,3,5) ; Converting the given equations ... more
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(x,y,z)=(0,4,2) ; Converting the given equations ... more
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(x,y,z)=(1,-2,0) ; Converting the given equations ... more
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; Converting the equations into matrix ; ... more
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infinite solutions ; Converting the given ... more
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(x,y,z,w)=(-1,2,5,1) ; Converting the equations ... more
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; Converting the given equations into matrix, ; ... more
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Cramer's rule cannot be applied here. ; In Cramer'... more
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; Taking a general system of equations, ; The ... more
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The 4 graphs have been combined to plot a single ... more
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; In the calculator, firstly choose the option ... more
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YES ; Two matrices say A and B are said to be ... more
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YES ; Two matrices say A and B are said to be ... more
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NO ; Two matrices say A and B are said to be ... more
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and are not inverses. ; Multiplying with . ; ... more
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and are not inverses ; ; Calculating ; ; ... more
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and are not inverses. ; ; Calculating ; ; ... more
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and are inverses. ; ; Calculating ; ; ... more
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and are inverses ; ; Calculating ; ; ... more
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; Performing similar row operations in both and... more
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; Determinant = Therefore, inverse exists ; ... more
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; Determinant = Therefore. inverse exists. ; ... more
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; Determinant = = Therefore, inverse exists. ; ... more
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Inverse cannot be found. ; Determinant = = Since ... more
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Inverse cannot be found. ; Determinant = = Since... more
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; Determinant = = ; Performing similar row ... more
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; Making given matrix equal to identity ; ... more
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; Determinant of the given matrix is = Therefore... more
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; Determinant of the given matrix = ; Making the ... more
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; Determinant of the given matrix = Therefore, ... more
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; Determinant of matrix = =1Therefore, inverse ... more
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When the determinant of the matrix is not equal , ... more
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If Row or Column of matrix is , then for any ... more
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; Determinant of matrix = Therefore, inverse ... more
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; Use row transformations as follows.Write the ... more
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; Use row transformations as follows.Write the ... more
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; Use row transformations as follows.Write the ... more
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; Use row transformations as follows.Write the ... more
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; Use row transformations as follows.Write the ... more
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Here, doesn't exist. since det = 0. ; First we ... more
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Here, doesn't exist. since det = 0. ; First we ... more
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; Use row transformations as follows.Write the ... more
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; Use row transformations as follows.Write the ... more
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; Use row transformations as follows.Write the ... more
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The solution set is ; Calculate the determinant of... more
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The solution set is ; Calculate the determinant of... more
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The solution set is ; Calculate the determinant of... more
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The solution set is ; Calculate the determinant of... more
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The given linear equations have no solution. ; By ... more
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The given linear equations have no solution. ; By ... more
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The solution set is \(3,0,2 ) ; By matrix ... more
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The solution set is \(\frac{1}{4}, \frac{1}{4}, \... more
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The solution set is . ; By matrix inversion method... more
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, and ; The solution of the matrix equation ... more
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, , and ; The solution of the matrix equation ... more
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, , and ; The solution of the matrix equation ... more
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and ; The solution of the matrix equation ... more
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and ; The solution of the matrix equation ... more
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, and ; The solution of the matrix equation ... more
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, and ; The solution of the matrix equation ... more
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; Let the cubic polynomial is . From the graph... more
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; Let the cubic polynomial is . From the graph... more
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; Let, the fourth degree polynomial is . From the... more
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; Let, the fifth degree polynomial is . From the ... more
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; Let per unit cost of the item of type and is... more
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; Here, Determinant of is Using the formula of ... more
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; Here, Determinant of is Using the formula of ... more
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; Write the matrix as to find the inverse of ... more
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; Write the matrix as to find the inverse of ... more
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; Write the matrix as to find the inverse of... more
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Calculating , Calculating . Finding ... more
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; Subtracting component wise, ; more
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; Matrix B is given as, Multiplying -3 with ... more
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; Matrix A is given,Calculating by multiplying A... more
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; Matrix C and D are given,Calculating matrix CD ... more
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-3 ; more
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-14 ; Expanding through column 1. ; more
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; Matrix A is given as,where a=-5, b=4, c=2, d=-... more
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; Write the matrix as to find the inverse of A... more
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Writing the equations in matrix formSolving value ... more
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The first step of making the graph is plotting the... more
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The first step of making the graph is to plot the ... more
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The first step of making the graph is plotting the... more
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The first step for making the graph is to plot the... more
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The first step for making the graph is to plot the... more
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The first step for making the graph is to plot the... more
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The first step for making the graph is to plot the... more
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The first step for making the graph is to plot the... more
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The first step for making the graph is to plot the... more
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Follow the steps below to plot the graph: Plot a ... more
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Follow the steps below to plot the graph: Plot a ... more
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Follow the steps below to plot the graph:Plot a ... more
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Follow the steps below to plot the graph:Plot a ... more
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Follow the steps below to plot the graph:Plot a ... more
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Follow the steps below to plot the graph:Plot a ... more
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Follow the steps below to plot the graph:Plot a ... more
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Follow the steps below to plot the graph:Plot a ... more
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Follow the steps below to plot the graph:Plot a ... more
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Follow the steps below to plot the graph:Plot a ... more
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Choose the arbitrary values of x and put in the ... more
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Choose some arbitrary value of x and put in a ... more
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Choose some arbitrary value of x and put in a ... more
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Choose the arbitrary value of x and put in the ... more
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Choose some arbitrary value of x and put in the ... more
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Choose some arbitrary value of x and y which ... more
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Choose some arbitrary value of x and y which ... more
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Choose some arbitrary value of x and y which ... more
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Choose some arbitrary value of x and put in the ... more
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Choose some arbitrary value of x and put in the ... more
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Choose some arbitrary value of x and put in the ... more
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Choose some arbitrary value of x and put in the ... more
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If the Inequality sign is then it belongs to ... more
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Above because > symbol in the slope-intercept form... more
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Above ; Slope intercept form of the function is... more
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Above ; The slope intercept form of the function ... more
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Center of the circle is (5 , 2) ; Symbol < ... more
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x - intercepts are (-2,0) and (2,0) and with ... more
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; Inside equation of a circle with center (a , b... more
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x2+y2>9 ; Equation of circle having center (0,0) ... more
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y>x2-4 ; Equation of parabola passing through (0... more
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y>1-x2 ; Equation of parabola passing through (0,... more
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Take any point in given region and check which ... more
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Graph inequality x+y0 ; Graph inequality 2x-y3 ; ... more
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Graph inequality y4-x. ; Graph inequality x-2y6 ; ... more
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Graph inequality 2x+y>2. ; Graph inequality x-3y<6... more
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Draw yx. ; Draw x2+y2<1. ; Draw common region. ; more
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Draw graph x+2y4. ; Draw graph yx2-1. ; Draw ... more
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Draw graph y(x+2)2. ; Draw graph y-2x2. ; Draw ... more
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Draw graph x0. ; Draw x+y4. ; Draw 2x+y5. ; Draw ... more
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The line is parallel to the axis, therefore to ... more
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Graphically the solution of the linear inequality... more
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Graphically the solution of the linear inequality... more
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To plot the line , choose two points and that ... more
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Graphically the solution of the linear inequality... more
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Plot the graph:Consider the expression which can ... more
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Plot the graph:Consider the first expression ... more
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Plot the graph:Take the expression in the form of... more
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Plot the graph:Take the expression in the form of... more
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Plot the graph:Take the expression in the form of... more
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Plot the graph:Take the expression in the form of... more
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First enter the value of as . Here is less than ... more
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First enter the value of as and . Here is ... more
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First enter the value of as then . Here is ... more
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First enter the value of as . Here is less than ... more
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; Here is and and hence is also equal to . ... more
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; Here is and and hence is also equal to . ... more
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; Here is and and hence is also equal to . ... more
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; Here is and and hence is also equal to . ... more
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; First convert the equation in the slope ... more
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; First, mark down the coordinates say vertices A... more
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; First, mark down the coordinates say vertices A... more
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; First, mark down the coordinates say vertices A... more
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; First, mark down the coordinates say vertices A... more
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; First, mark down the coordinates say vertices A... more
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; First, mark down the coordinates say vertices A... more
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and 15 ; Consider the number of product 1 to be ... more
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Maximum profit=540pigs=6; geese=10 ; She wants to ... more
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Minimum cost= 1040 ; According to the given ... more
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175 ; According to the given condition,He have to ... more
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6.4 gasoline; 3.2 fuel ; 2 gallons of gasoline is ... more
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1662.4 ; According to given data There are three... more
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16000 ; Medical kit measures 1 cube foot and 10 ... more
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24000 ; Medical kit measures 1 cube foot and 10 ... more
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; To verify this partial fraction decomposition, ... more
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; To verify this partial fraction decomposition, ... more
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; To verify this partial fraction decomposition, ... more
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; To verify this partial fraction decomposition, ... more
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; To verify this partial fraction decomposition, ... more
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; To verify this partial fraction decomposition, ... more
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; To calculate partial fraction of this ... more
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; To calculate partial fraction of this ... more
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; To calculate partial fraction of this ... more
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; To calculate partial fraction of this ... more
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; To calculate partial fraction of this ... more
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; To calculate partial fraction of this ... more
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; To calculate partial fraction of this ... more
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; The numerator has degree 0 as there is no term ... more
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; The numerator has degree 0 as there is no term ... more
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; The numerator has degree 1 and the denominator ... more
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; The numerator has degree 2 as there is no term ... more
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; The numerator has degree 1 and the denominator ... more
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; The numerator has degree 2 and the denominator ... more
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; The numerator has degree 0 as it has no term of... more
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; Here the numerator has degree 5 and denominator... more
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; The numerator has degree 5 and denominator has ... more
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; The numerator has degree 3 and the denominator ... more
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; The given fraction is a proper fraction as the ... more
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; Since the degree of the numerator is lower than... more
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; Since the degree of the numerator is lower than... more
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; Since the degree of the numerator is lower than... more
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; The expression can be written as:multiplying ... more
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; The expression can be given as:multiplying both... more
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The answer is ; Factor and rewrite the expression... more
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The answer is ; Now perform long division since ... more
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The answer is ; Now perform long division since ... more
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The left hand side and the right hand side ... more
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The graphs does not Coincides. ; Graph the ... more
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The graphs coincides. ; Graph the expression by ... more
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Express the inequalities with two unknows as ... more
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Express the inequalities with two unknows as ... more
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Rewrite the inequalities with two unknowns as ... more
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Rewrite the inequalities to two unknown equation... more
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Since the equation lies upper side of the line ... more
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The maximum value is 65 and the minimum value is 8... more
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The answer is per . ; Here the objective is to ... more
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The answer is ; Factor the denominator and ... more
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The answer is ; Create a partial fraction using ... more
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The answer is , . The equations are consistent and... more
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The given equations has no solution. Therefore, it... more
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The answer is , . The equations are consistent and... more
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; Use substitution method to solve nonlinear ... more
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; Use substitution method to solve nonlinear ... more
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; Use substitution method to solve nonlinear ... more
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; Use substitution method to solve nonlinear ... more
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; Use substitution method to solve nonlinear ... more
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; Follow steps below to solve linear system of ... more
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; Follow steps below to solve linear system of ... more
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; Follow steps below to solve linear system of ... more
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; Follow steps below to solve system of linear ... more
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; Follow steps below to solve system of linear ... more
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; First convert the system of equations into ... more
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System has dependent equations. ; First convert ... more
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; Both the matrices have same dimensions and ... more
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; All the matrices have the same dimension and ... more
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Not possibleBoth the matrices have different ... more
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; First multiply each element of first matrix by... more
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Not possible Both the matrices have different ... more
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; First multiply each element of first matrix by... more
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adding the corresponding elements of and . ; ... more
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; Number of columns of first matrix is and ... more
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; If matrix has number of columns and matrix ... more
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; If matrix has number of columns and matrix ... more
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Not possible because number of columns in first ... more
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; If matrix has number of columns and matrix ... more
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; If matrix has number of columns and matrix ... more
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Both and are equal to and hence is the ... more
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Both and are equal to and hence is inverse... more
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and are not equal and hence is not inverse of... more
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Both and are equal to and hence is inverse... more
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does not exist. ; Inverse of the matrix is exist ... more
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; Find the determinant of matrix A to know ... more
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; Find the determinant of matrix A to know ... more
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; Find the determinant of matrix A to know ... more
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; Find the determinant of matrix to know whether... more
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doesn't exist. ; Find the determinant of matrix... more
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System's solution set is ; Let's write co-... more
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System's solution set is . ; Let's write co-... more
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System's solution set is . ; Let's write co-... more
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; For every real number there is a solution of ... more
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-25 ; As it is known determinant of matrix is ... more
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-6 ; A it is known determinant of matrix is ... more
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-44 ; To find determinant of matrix, take each ... more
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-29 ; To find determinant of matrix, take each ... more
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; As it is known determinant of matrix is ... more
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; Let given matrix = M ; X= Determinant of any... more
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Determinant is independent of x . ; Given ; ... more
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1 ; ; Determinant of any matrix is sum of ... more
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For system of equationSolution of system of ... more
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x=-2y=5 ; For system of equationUsing Cramer's ... more
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; For system of equationUsing Cramer's rule ; For... more
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; For system of equationUsing Cramer's rule ; For... more
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x=-12y=3z=6 ; For system of equationUsing Cramer's... more
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Inconsistent System ; For system of equationUsing... more
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; It is known that system of equationUsing Cramer... more
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Inconsistent System ; Object R contains item P = ... more
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No. of Item C = 80 No. of Item P = 20 ; Cost of 1 ... more
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;; ; let = volume of the 5%, = volume of the 10%, ... more
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; The points given (-2,1),(-1,6),(2,9) and (3,26... more
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Set of all the solutions to the equation is a set ... more
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Set of all the solutions to the equation is a set ... more
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(0, 6) ; The region determined by the constraints... more
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; Region determined by the constraints for ,,, ... more
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two points ; Substitute the second equation ... more
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and ; Denote the first equation as and the ... more
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and ; The determinant of the system of equations ... more
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For the set of inequalities and ; the region will... more
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8 Cabinet X and 3 Cabinet Y have to be bought. ; ... more
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; Let the decomposition be written as . ; Solving... more