Algebra and Trigonometry Enhanced with Graphing Utilities (7th Edition)

Chapter 7

Verified Answer ✓

; Plug into . ; Simplify. ; more

Verified Answer ✓

; Plug into . ;   ; Simplify. ; more

Verified Answer ✓

; The domain of is everywhere that the ... more

Verified Answer ✓

Composite function ;   ; more

Verified Answer ✓

By definition, , so , which is not equal to . ; By... more

Verified Answer ✓

is ; The argument in the square root has been ... more

Verified Answer ✓

The domain of is the set of all numbers in the ... more

Verified Answer ✓

  ; Plug into . ; Plug into . ; more

Verified Answer ✓

; Plug into . ; Plug into . ; more

Verified Answer ✓

; Plug into . ; Plug into . ; more

Verified Answer ✓

; Plug into . ; Plug into . ; more

Verified Answer ✓

; Plug into . ; Plug into . ; more

Verified Answer ✓

; Plug into . ; Plug into . ; more

Verified Answer ✓

; Plug into .  ; Plug into . ; more

Verified Answer ✓

; Plug into . ; Plug into . ; more

Verified Answer ✓

; To find the inner function, , look at the inner... more

Verified Answer ✓

; To find the inner function, , look at the inner... more

Verified Answer ✓

  ; To find the inner function, , look at the ... more

Verified Answer ✓

; To find the inner function, , look at the inner... more

Verified Answer ✓

; To find the inner function, , look at the inner... more

Verified Answer ✓

; To find the inner function, , look at the inner... more

Verified Answer ✓

; Plug into . ; Simplify. ; Since , plugging ... more

Verified Answer ✓

; Find . ; To simplify, multiply the numerator ... more

Verified Answer ✓

; Find . ; To simplify, multiply the numerator ... more

Verified Answer ✓

; Substitute into . ; If the function above ... more

Verified Answer ✓

; The surface area is given in terms of . To find... more

Verified Answer ✓

; The volume is given in terms of . To find ... more

Verified Answer ✓

; The function C is given in terms of . To find C... more

Verified Answer ✓

; The formula for the area of a circle is . To ... more

Verified Answer ✓

; The function C is given in terms of . To find C... more

Verified Answer ✓

; The function is given in terms of . To find ... more

Verified Answer ✓

; Write an equation relating the height and the ... more

Verified Answer ✓

; Write an equation relating the height and the ... more

Verified Answer ✓

and represents the total pay after taxes are ... more

Verified Answer ✓

15 ; Since , substitute into and set the result ... more

Verified Answer ✓

; First, use the definition of composite ... more

Verified Answer ✓

   ; To determine if is odd or even, find . ; By ... more

Verified Answer ✓

, domain , domain , domain , domain ; Using the ... more

Verified Answer ✓

; To find the real zeros, set the function equal ... more

Verified Answer ✓

Local minimum: Local maximum: Increasing: ... more

Verified Answer ✓

The domain is Horizontal Asymptote: noneVertical ... more

Verified Answer ✓

Yes, because the x-coordinates of the ordered ... more

Verified Answer ✓

The graph is increasing for . It is decreasing for... more

Verified Answer ✓

The domain of is the set of all real numbers ... more

Verified Answer ✓

; Multiply both numerator and denominator by  to ... more

Verified Answer ✓

; In a one-to-one function, two different inputs ... more

Verified Answer ✓

one-to-one ; A function is considered to be a one-... more

Verified Answer ✓

; The domain of a one-to-one function is the ... more

Verified Answer ✓

; The graphs of a one-to-one function and its ... more

Verified Answer ✓

  ; The domain of a one-to-one function is the ... more

Verified Answer ✓

The domain of a function is the range of its ... more

Verified Answer ✓

The x-coordinate of a point of a one-to-one ... more

Verified Answer ✓

This is the domain of the one-to-one function. ; ... more

Verified Answer ✓

Since no two elements in the domain correspond to ... more

Verified Answer ✓

Since no two elements in the domain correspond to ... more

Verified Answer ✓

Since two elements in the domain ( Hours and  ... more

Verified Answer ✓

There are more than one element in the domain, ... more

Verified Answer ✓

There are more than one -coordinate, and , that ... more

Verified Answer ✓

Each -coordinate corresponds to exactly one -... more

Verified Answer ✓

Each -coordinate corresponds to exactly one -... more

Verified Answer ✓

Each -coordinate corresponds to exactly one -... more

Verified Answer ✓

Every horizontal line intersects the graph in at ... more

Verified Answer ✓

Every horizontal line intersects the graph in at ... more

Verified Answer ✓

Horizontal lines intersect the graph in more than ... more

Verified Answer ✓

Horizontal lines intersect the graph in more than ... more

Verified Answer ✓

Every horizontal line intersects the graph in at ... more

Verified Answer ✓

A horizontal line can be superimposed on the graph... more

Verified Answer ✓

The inverse of the function is: Annual ... more

Verified Answer ✓

The inverse of the function is: Domestic Gross (... more

Verified Answer ✓

The inverse of the function is: Monthly CostAge ... more

Verified Answer ✓

The inverse of the function is: Unemployment ... more

Verified Answer ✓

The inverse of the function is . The domain of the... more

Verified Answer ✓

The inverse of the function is . The domain of the... more

Verified Answer ✓

The inverse of the function is . The domain of the... more

Verified Answer ✓

The inverse of the function is . The domain of the... more

Verified Answer ✓

The functions and are inverse functions of each ... more

Verified Answer ✓

The functions and are inverse functions of each ... more

Verified Answer ✓

The functions f and g are inverse functions of ... more

Verified Answer ✓

The functions and are inverse functions of each ... more

Verified Answer ✓

The functions and are inverse functions of each ... more

Verified Answer ✓

The functions and are inverse functions of each ... more

Verified Answer ✓

The functions and are inverse functions of each ... more

Verified Answer ✓

The functions and are inverse functions of each ... more

Verified Answer ✓

The functions and are inverse functions of each ... more

Verified Answer ✓

The functions and are inverse functions of each ... more

Verified Answer ✓

Graph the line . ; Determine the points that are ... more

Verified Answer ✓

Graph the line . ; Determine the points that are ... more

Verified Answer ✓

Graph the line ; Determine the points that are ... more

Verified Answer ✓

Graph the line ; Determine the points that are ... more

Verified Answer ✓

Graph the line ; The curve has a horizontal ... more

Verified Answer ✓

Graph the line ; The graph given is the function... more

Verified Answer ✓

; The output of an inverse function is the input ... more

Verified Answer ✓

; The output of an inverse function is the input ... more

Verified Answer ✓

The domain of is .The range of is . ; The domain... more

Verified Answer ✓

The domain of is .The range of is . ; The domain... more

Verified Answer ✓

The domain of is .The range of is . ; The domain... more

Verified Answer ✓

The domain of is .The range of is . ; The domain... more

Verified Answer ✓

The graph of is increasing on the interval . ; ... more

Verified Answer ✓

The graph of is decreasing on the interval . ; ... more

Verified Answer ✓

The inverse is ; Replace with in the equation of... more

Verified Answer ✓

The inverse is . ; Replace with in the equation ... more

Verified Answer ✓

The graph of lies in quadrant I. ; Graph a line ... more

Verified Answer ✓

The graph of lies in quadrant IV. ; Graph a line ... more

Verified Answer ✓

Make domain . The inverse is , . ; The graph of ... more

Verified Answer ✓

Make the domain . The inverse is . ; Graph . The ... more

Verified Answer ✓

.if . ; Replace with in the equation of the ... more

Verified Answer ✓

Yes, a one-to-one function and its inverse can be ... more

Verified Answer ✓

Graph the line by plotting various points with ... more

Verified Answer ✓

; As seen in the graph the piecewise function is ... more

Verified Answer ✓

No. Consider the function . It is an odd function ... more

Verified Answer ✓

represents the number of cars manufactured at the ... more

Verified Answer ✓

The horizontal-line test can be used to identify ... more

Verified Answer ✓

Some functions have inverses that are not ... more

Verified Answer ✓

Determine the graph of  ; The graph of the ... more

Verified Answer ✓

The zeros of the function are and .The x-... more

Verified Answer ✓

The domain is .The horizontal asymptote is .The ... more

Verified Answer ✓

; Given , find by substituting to every in . ... more

Verified Answer ✓

; In the first expression, 4 has to be multiplied... more

Verified Answer ✓

; Transpose to the left side of the equation. ... more

Verified Answer ✓

In the function of the form , the graph of is ... more

Verified Answer ✓

; The average rate of change can be determined by... more

Verified Answer ✓

The degree of the numerator is the same as the ... more

Verified Answer ✓

exponential function; growth factor; initial value... more

Verified Answer ✓

; Solve for the value of the expression by ... more

Verified Answer ✓

Any real number when substituted into the ... more

Verified Answer ✓

One property of an exponential function is that it... more

Verified Answer ✓

; One property of the graph of the exponential ... more

Verified Answer ✓

; Since the two exponential functions are equal ... more

Verified Answer ✓

The graphs of exponential functions with different... more

Verified Answer ✓

The base of the exponential function, , is less ... more

Verified Answer ✓

The range of the exponential function does not ... more

Verified Answer ✓

; In a calculator, press the left parenthesis key... more

Verified Answer ✓

; In a calculator, press the left parenthesis key... more

Verified Answer ✓

; In a calculator, enter , press the left ... more

Verified Answer ✓

; In a calculator, enter , press the left ... more

Verified Answer ✓

; In a calculator, enter the base , press the ... more

Verified Answer ✓

; In a calculator, enter the base , press the ... more

Verified Answer ✓

; In a calculator, enter , press the ... more

Verified Answer ✓

; In a calculator, enter , press the ... more

Verified Answer ✓

Neither. ; Compute the average rate of change of ... more

Verified Answer ✓

Linear. The linear function that models the data ... more

Verified Answer ✓

Exponential. The exponential function that models ... more

Verified Answer ✓

Exponential. The exponential function that models ... more

Verified Answer ✓

Exponential. The exponential function that models ... more

Verified Answer ✓

Neither. ; Compute the average rate of change of ... more

Verified Answer ✓

Linear. The linear function that models the data ... more

Verified Answer ✓

Exponential. The exponential function that models ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Domain: All real numbers.Range: .Horizontal ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Domain: All real numbers.Range: .Horizontal ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

, determine these points for the function Knowing ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

Knowing that the graph of contains the points , ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

  ; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Check if the expressions on both sides of the ... more

Verified Answer ✓

; Using the Laws of Exponents, determine the ... more

Verified Answer ✓

; Using the Laws of Exponents, determine the ... more

Verified Answer ✓

; Using the Laws of Exponents, determine the ... more

Verified Answer ✓

; Using the Laws of Exponents, determine the ... more

Verified Answer ✓

; Using the Laws of Exponents, determine the ... more

Verified Answer ✓

; Using the Laws of Exponents, determine the ... more

Verified Answer ✓

; Check if it is an increasing or decreasing ... more

Verified Answer ✓

; Check if it is an increasing or decreasing ... more

Verified Answer ✓

; Check if the graph is a reflection about the x-... more

Verified Answer ✓

; Check if the graph is a reflection about the x-... more

Verified Answer ✓

; Given the equation of the horizontal asymptote... more

Verified Answer ✓

; Given the equation of the horizontal asymptote... more

Verified Answer ✓

Domain: All real numbers.Range: .Intercept: . ; ... more

Verified Answer ✓

Domain: All real numbers.Range: .Intercept: . ; ... more

Verified Answer ✓

Domain: All real numbers.Range: .Intercept: . ; ... more

Verified Answer ✓

Domain: All real numbers.Range: .Intercept: . ; ... more

Verified Answer ✓

mg;  mg ; Substitute  to the given function. ... more

Verified Answer ✓

students ; Substitute  and  ; Calculate . ; more

Verified Answer ✓

; Substitute to the given function. ; Substitute... more

Verified Answer ✓

Value The results are lower than the value of ... more

Verified Answer ✓

Final denominatorValueCompared Value to ; Use the ... more

Verified Answer ✓

; Substitute and to the expression. ; Use the ... more

Verified Answer ✓

; Substitute to every in the equation . ; Use ... more

Verified Answer ✓

; Substitute to every in the equation . ; Using... more

Verified Answer ✓

; Substitute to every in the equation . ; Using... more

Verified Answer ✓

Value of ; Substitute to the equation. Use the ... more

Verified Answer ✓

minutes ; The exponential function is . where is ... more

Verified Answer ✓

The number is an irrational number that has a ... more

Verified Answer ✓

There is no power function that increases more ... more

Verified Answer ✓

For , the graph increases more rapidly as the base... more

Verified Answer ✓

The graphs are identical because the expressions ... more

Verified Answer ✓

; Transfer all terms to the left side of the ... more

Verified Answer ✓

; Transfer to the left side of the equation. ; ... more

Verified Answer ✓

; can be used to obtain the quadratic function ... more

Verified Answer ✓

or ; Identify the reference function for the ... more

Verified Answer ✓

; Subtract from both sides. ; Simplify. ; more

Verified Answer ✓

or ; The function has a domain of given that ... more

Verified Answer ✓

; It's easier to understand this problem by using... more

Verified Answer ✓

1 ; The graph of is increasing when .is ... more

Verified Answer ✓

If , then . ; If , then . ; more

Verified Answer ✓

Use the exponential form and substitute . This ... more

Verified Answer ✓

Convert to .Remember that .This means that its ... more

Verified Answer ✓

There is no logarithmic function with this domain... more

Verified Answer ✓

; Change the given numbers to their exponential ... more

Verified Answer ✓

; Change the given numbers to its exponential ... more

Verified Answer ✓

; Convert both sides of the equation to ... more

Verified Answer ✓

; Convert both sides of the equation to ... more

Verified Answer ✓

; Convert both sides of the equation to ... more

Verified Answer ✓

; Convert both sides of the equation to log base ... more

Verified Answer ✓

; Convert both sides of the equation to natural ... more

Verified Answer ✓

; Convert both sides of the equation to natural ... more

Verified Answer ✓

; Change the given expression to its logarithmic ... more

Verified Answer ✓

; Change the given expression to its logarithmic ... more

Verified Answer ✓

; Change the given expression to its logarithmic ... more

Verified Answer ✓

; Change the given expression to its logarithmic ... more

Verified Answer ✓

; Change the given expression to its logarithmic ... more

Verified Answer ✓

; Change the given expression to its logarithmic ... more

Verified Answer ✓

; Change the given expression to its logarithmic ... more

Verified Answer ✓

; Change the given expression to its logarithmic ... more

Verified Answer ✓

; Any number raised to the power of zero is ... more

Verified Answer ✓

; Any number raised to the power of one is equal... more

Verified Answer ✓

; can be expressed as . ; Move the exponent ... more

Verified Answer ✓

; can be expressed as . ; can be expressed as... more

Verified Answer ✓

; can be expressed as . ; can be expressed as... more

Verified Answer ✓

; can be expressed as . ; can be expressed as... more

Verified Answer ✓

; can be expressed as . ; Move the exponent ... more

Verified Answer ✓

; can be expressed as . ; can be expressed as... more

Verified Answer ✓

; can be expressed as . ; Move the exponent ... more

Verified Answer ✓

; can be expressed as . ; Move the exponent ... more

Verified Answer ✓

; can be expressed as . ; Move the exponent ... more

Verified Answer ✓

; Move the exponent outside of the logarithm. ; ... more

Verified Answer ✓

; The domain of logarithmic functions are ... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; The number inside the square root should NOT be... more

Verified Answer ✓

; The expression inside the logarithm should be ... more

Verified Answer ✓

; Enter the given digits in the calculator to get... more

Verified Answer ✓

; Enter the given digits in the calculator to get... more

Verified Answer ✓

30.099 ; Enter the given digits in the calculator ... more

Verified Answer ✓

; Enter the given digits in the calculator to get... more

Verified Answer ✓

; Enter the given digits in the calculator to get... more

Verified Answer ✓

; Enter the given digits in the calculator to get... more

Verified Answer ✓

; Enter the given digits in the calculator to get... more

Verified Answer ✓

; Enter the given digits in the calculator to get... more

Verified Answer ✓

; Insert the given point to . ; Convert to ... more

Verified Answer ✓

; Insert the given point to . ; Convert to ... more

Verified Answer ✓

Find the values of at ; Find the values of at... more

Verified Answer ✓

Find the values of at . ; Find the values of at... more

Verified Answer ✓

Find the values of at . ; Find the values of at... more

Verified Answer ✓

Find the values of at . ; Find the values of at... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to logarithmic form. Remember, means... more

Verified Answer ✓

; Convert to logarithmic form. Remember, means... more

Verified Answer ✓

; Convert to logarithmic form. Remember, means... more

Verified Answer ✓

; Convert to logarithmic form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Convert to exponential form. Remember, means... more

Verified Answer ✓

; Rewrite the expression to look like by ... more

Verified Answer ✓

; Rewrite the expression to look like by ... more

Verified Answer ✓

; Rewrite the expression to look like by ... more

Verified Answer ✓

; Rewrite the expression to look like by ... more

Verified Answer ✓

Domain: Range: x-intercepts: and ; Compute values... more

Verified Answer ✓

Domain: Range: x-intercept: ; Compute values of ... more

Verified Answer ✓

Domain: Range: x-intercept: ; Compute values of ... more

Verified Answer ✓

Domain: Range: x-intercept: ; Compute values of ... more

Verified Answer ✓

About hours ; Substitute 2 for in the given ... more

Verified Answer ✓

About days ; Substitute and into the given ... more

Verified Answer ✓

About seconds; about seconds ; Substitute into ... more

Verified Answer ✓

dB ; Substitute and into the given equation. ; ... more

Verified Answer ✓

dB ; Substitute and into the given equation. ; ... more

Verified Answer ✓

dB ; Substitute and into the given equation. ; ... more

Verified Answer ✓

dB ; Use the equation to first find the intensity ... more

Verified Answer ✓

About ; Substitute and into the given function... more

Verified Answer ✓

About ; Substitute and into the given function... more

Verified Answer ✓

No; a close function to a logarithmic function is ... more

Verified Answer ✓

When rewritten in exponential form, the equation ... more

Verified Answer ✓

The best time to trade in the car is after 4 years... more

Verified Answer ✓

Zeroes: ; -intercepts: ; The given equation is in ... more

Verified Answer ✓

; Evaluate at and . ; Write the values as ... more

Verified Answer ✓

; Evaluate the ends of the given interval: and... more

Verified Answer ✓

; Complex zeros always come in conjugate pairs. ... more

Verified Answer ✓

; Assume  .Change to exponential form.   ; more

Verified Answer ✓

; Assume . Change to exponential form.  ... more

Verified Answer ✓

; Write the expression as the product of the ... more

Verified Answer ✓

, ; The logarithm of the product of variables ... more

Verified Answer ✓

, ; The logarithm of division of two variables ... more

Verified Answer ✓

; When the argument of a logarithm (in this case... more

Verified Answer ✓

; Use the change of base formula in reverse.  ... more

Verified Answer ✓

Apply the division rule of logarithms to since ... more

Verified Answer ✓

Apply the product rule of logarithms.  Rewrite the... more

Verified Answer ✓

Apply the division rule of logarithms. Since is ... more

Verified Answer ✓

cannot be simplified. ; Assume a variable for .  ... more

Verified Answer ✓

This expression cannot be simplified further. ; ... more

Verified Answer ✓

; Apply the property (2) of logarithms to the ... more

Verified Answer ✓

; Express the term as a product of the power and ... more

Verified Answer ✓

; Rewrite the term as a product of the power and ... more

Verified Answer ✓

; Express the term as a product of the power and ... more

Verified Answer ✓

; Assume a variable for the exponent. ; Write the... more

Verified Answer ✓

; Assume a variable for . ; Write in exponential... more

Verified Answer ✓

; Apply the product rule of logarithms. ; ... more

Verified Answer ✓

; Apply the product rule of logarithms. ; ... more

Verified Answer ✓

; Apply the division rule of logarithms. ; ... more

Verified Answer ✓

; Apply the division rule of logarithms. ; ... more

Verified Answer ✓

; Express 8 as a power of 2. ; Write as a ... more

Verified Answer ✓

2 ; Express as a power of . ; Express as a ... more

Verified Answer ✓

; Apply the division rule of logarithms to the ... more

Verified Answer ✓

; Apply the product rule of logarithms to the ... more

Verified Answer ✓

4 ; Let and express it in exponential form.Then ... more

Verified Answer ✓

3 ; Let and express it in exponential form.Then ... more

Verified Answer ✓

; Rewrite as a product of factors. ; Apply the ... more

Verified Answer ✓

; Apply the division rule of logarithms to write ... more

Verified Answer ✓

; Rewrite 1.5 as . ; Apply division property of ... more

Verified Answer ✓

; Express as a fraction. ; Apply the division ... more

Verified Answer ✓

; Express as a power of . ; Express  as a ... more

Verified Answer ✓

; Express as a power of . ; Express as a ... more

Verified Answer ✓

; Express the radical as an exponent. ; Express ... more

Verified Answer ✓

; Express the radical as an exponent. ; Express ... more

Verified Answer ✓

; Express as the sum of logarithms by applying ... more

Verified Answer ✓

; Apply the division rule of logarithms to ... more

Verified Answer ✓

; Express as a product of the exponent and ... more

Verified Answer ✓

; Express as a product of the exponent and ... more

Verified Answer ✓

; Apply the product property of logarithms. ; ... more

Verified Answer ✓

; Apply the division rule of logarithms. ; ... more

Verified Answer ✓

; Apply the division rule of logarithms. ; ... more

Verified Answer ✓

; Express the term as sum of logarithms using ... more

Verified Answer ✓

; Apply the product rule of logarithms. ; Express... more

Verified Answer ✓

; Express the term as a difference of logarithms... more

Verified Answer ✓

; Apply the product rule of logarithms. ; Express... more

Verified Answer ✓

; Apply the product rule of logarithms to express... more

Verified Answer ✓

; Express as difference of logarithms by applying... more

Verified Answer ✓

; Apply the division rule of logarithms to ... more

Verified Answer ✓

; Apply the division rule of logarithms to ... more

Verified Answer ✓

; Apply the division rule of logarithms. ; Apply ... more

Verified Answer ✓

; Express the term as a product of the exponent ... more

Verified Answer ✓

; Express the term as the product of the exponent... more

Verified Answer ✓

; Express as the difference of logarithms by ... more

Verified Answer ✓

; Apply the division rule of logarithms ; Express... more

Verified Answer ✓

; Apply the power rule of logarithms. ; Apply the... more

Verified Answer ✓

; Apply the power rule of logarithms to express ... more

Verified Answer ✓

; Rewrite with . ; Apply the exponent property ... more

Verified Answer ✓

; Apply the product rule of logarithms to express... more

Verified Answer ✓

; Factor . ; Substitute into the given equation... more

Verified Answer ✓

; Factor . ; Substitute into the given equation... more

Verified Answer ✓

; Combine the expressions and by writing as a ... more

Verified Answer ✓

; Factor . ; Factor . ; Factor . ; Substitute the... more

Verified Answer ✓

; Rewrite the radical as an exponent. ; Express ... more

Verified Answer ✓

; Express as an exponent by applying the power ... more

Verified Answer ✓

; Express as an exponent of by applying the ... more

Verified Answer ✓

; Express and as exponents by applying the ... more

Verified Answer ✓

; Express as an exponent of by applying the ... more

Verified Answer ✓

; Express and as exponents by applying the ... more

Verified Answer ✓

; Apply the given formula. ; Find the values of ... more

Verified Answer ✓

; Apply the change-of-base formula. ; Use a ... more

Verified Answer ✓

; Apply the change-of-base formula. ; Use a ... more

Verified Answer ✓

; Apply the change-of-base formula. ; Use a ... more

Verified Answer ✓

; Apply the change-of-base formula. ; Use a ... more

Verified Answer ✓

; Apply the change-of-base formula. ; Use a ... more

Verified Answer ✓

; Apply the change-of-base formula. ; Use a ... more

Verified Answer ✓

; Apply the change-of-base formula. ; Use a ... more

Verified Answer ✓

Apply the change-of-base formula to the given ... more

Verified Answer ✓

Apply change-of-base formula to the given function... more

Verified Answer ✓

Apply change-of-base formula to . ; Graph the ... more

Verified Answer ✓

Apply change-of-base formula to . ; Graph the ... more

Verified Answer ✓

Apply the change-of-base formula to . ; Graph the ... more

Verified Answer ✓

Apply change-of-base formula to . ; Graph the ... more

Verified Answer ✓

; Apply the product rule of logarithms to . ; ... more

Verified Answer ✓

; Raise to the power of on both sides in ; more

Verified Answer ✓

; Apply the product rule of logarithms to write ... more

Verified Answer ✓

; Express as a power of by applying the power ... more

Verified Answer ✓

; Raise to the power of on both sides. ; Express... more

Verified Answer ✓

; Raise the given equation to the power on both ... more

Verified Answer ✓

; Raise the given equation to the power of on ... more

Verified Answer ✓

; Raise the given equation to the power of on ... more

Verified Answer ✓

; Express and as the powers of the term and... more

Verified Answer ✓

; Express , and as powers of ,  and by applying... more

Verified Answer ✓

; Apply the change-of-base formula to all the ... more

Verified Answer ✓

; Apply the change-of-base formula to all the ... more

Verified Answer ✓

; Apply the change-of-base formula to the given ... more

Verified Answer ✓

; Express the arguments as powers of . ; Cancel ... more

Verified Answer ✓

; Apply the product rule of logarithms to express... more

Verified Answer ✓

; Apply the product rule of logarithms to write ... more

Verified Answer ✓

; Consider the right side of the given equation ... more

Verified Answer ✓

; Substitute and in the given equation. ; Apply... more

Verified Answer ✓

; Find. ; Apply the change-of-base formula to... more

Verified Answer ✓

; Substitute   in to find . ; Apply the product ... more

Verified Answer ✓

; Find . ; Express as a negative exponent. Then ... more

Verified Answer ✓

; Find . ; Express  as a product of the exponent... more

Verified Answer ✓

 Hence the given equation is proved. ; Rewrite ... more

Verified Answer ✓

; Rewrite with a negative exponent. ; Express ... more

Verified Answer ✓

No, the given graphs are not equivalent as the ... more

Verified Answer ✓

Let , and Substitute the value in the given ... more

Verified Answer ✓

Let and Substitute the values in the given ... more

Verified Answer ✓

No. The argument of a logarithm cannot be negative... more

Verified Answer ✓

; Use a graphing utility to graph the function. ... more

Verified Answer ✓

The given quadratic equation has a repeated real ... more

Verified Answer ✓

; Find all the possible rational zeros of from ... more

Verified Answer ✓

domain:  range: ; Graph the parent function .The ... more

Verified Answer ✓

; Factor the left side of the equation. ; Solve ... more

Verified Answer ✓

; Rewrite the quadratic equation in the standard ... more

Verified Answer ✓

; Graph and on the same coordinate plane. ... more

Verified Answer ✓

; Graph . Approximate the solution to the given ... more

Verified Answer ✓

; Change the logarithmic statement to an ... more

Verified Answer ✓

; Change the logarithmic statement to an ... more

Verified Answer ✓

; Change the logarithmic statement to an ... more

Verified Answer ✓

; Change the logarithmic statement to an ... more

Verified Answer ✓

; Apply the property of logarithm, if , then and... more

Verified Answer ✓

; Apply the property of logarithm, if , then and... more

Verified Answer ✓

; Use the property to remove the coefficients on... more

Verified Answer ✓

; Use the property to remove the coefficient on ... more

Verified Answer ✓

; Use the property to remove the coefficient on ... more

Verified Answer ✓

; Use the property to remove the coefficient on ... more

Verified Answer ✓

; Use the property to remove the coefficient of ... more

Verified Answer ✓

; Use the property to remove the coefficient of ... more

Verified Answer ✓

; Apply the property of logarithm, in and . ; ... more

Verified Answer ✓

; Apply the property of logarithm, in and . ; ... more

Verified Answer ✓

; Subtract the logarithmic term from the right ... more

Verified Answer ✓

; Apply the property to combine the terms on the... more

Verified Answer ✓

; Apply the property of logarithm, . ; Change the... more

Verified Answer ✓

; Apply the property of logarithm, . ; Change the... more

Verified Answer ✓

; Combine like terms. ; Apply the property of ... more

Verified Answer ✓

; Combine like terms. ; Apply the property of ... more

Verified Answer ✓

; Apply the property of logarithm, . ; Change the... more

Verified Answer ✓

; Apply the property to combine the terms on the... more

Verified Answer ✓

; Apply the property of logarithm, . ; Change the... more

Verified Answer ✓

; Apply the property of logarithm, . ; Change the... more

Verified Answer ✓

; Apply the property to combine the terms on the... more

Verified Answer ✓

; Apply the property to combine the terms on the... more

Verified Answer ✓

; Apply the property on each side of the ... more

Verified Answer ✓

; Apply the property of logarithm, . ; Apply the ... more

Verified Answer ✓

; Use the property to remove the coefficient on ... more

Verified Answer ✓

; Apply the property to remove all coefficients... more

Verified Answer ✓

; Apply the property to remove all coefficients... more

Verified Answer ✓

; First, apply the property to combine the two ... more

Verified Answer ✓

; Apply the property of logarithm, . ; Apply the ... more

Verified Answer ✓

; Apply the property of logarithm, . ; Apply the ... more

Verified Answer ✓

; Rewrite as .Simplify the equation in the ... more

Verified Answer ✓

; One of the logarithms is under a radical and ... more

Verified Answer ✓

; Rewrite 8 as . ; Use one-to-one property of the... more

Verified Answer ✓

; Rewrite 25 as . ; Use one-to-one property of ... more

Verified Answer ✓

; Write the exponential equation as an equivalent... more

Verified Answer ✓

; Write the exponential equation as an equivalent... more

Verified Answer ✓

; Write the exponential equation as an equivalent... more

Verified Answer ✓

; Write the exponential equation as an equivalent... more

Verified Answer ✓

; Combine like terms.Take the base 2 log of both ... more

Verified Answer ✓

; Combine like terms.Simplify the equation, ... more

Verified Answer ✓

; Take the natural log of both sides of the ... more

Verified Answer ✓

; Take the natural log of both sides of the ... more

Verified Answer ✓

; Take the natural logarithm of both sides of the... more

Verified Answer ✓

; Take the natural logarithm of both sides of the... more

Verified Answer ✓

; Take the natural logarithm of both sides of the... more

Verified Answer ✓

; Take the natural logarithm of both sides of the... more

Verified Answer ✓

; Take the natural logarithm of both sides of the... more

Verified Answer ✓

; Take the natural logarithm of both sides of the... more

Verified Answer ✓

; Rewrite as .Let .Substitute in the equation... more

Verified Answer ✓

; Rewrite as .Let .Substitute in the equation... more

Verified Answer ✓

; Rewrite as .Remember that , so .Let .... more

Verified Answer ✓

; Rewrite as .Remember that , so .Let .... more

Verified Answer ✓

; Rewrite: .Remember that , so .Let .Substitute ... more

Verified Answer ✓

; Rewrite: .Remember that , so .Let .Substitute ... more

Verified Answer ✓

; Rewrite as .Let .Rewrite the quadratic ... more

Verified Answer ✓

; Rewrite as .Let .Rewrite the quadratic ... more

Verified Answer ✓

The equation has no real solution and have ... more

Verified Answer ✓

The equation has no solution. ; Rewrite as .Let .... more

Verified Answer ✓

; Multiply both sides of the equation by .Let .... more

Verified Answer ✓

; Multiply both sides of the equation by .Let .... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

Use a graphing utility.An attempt to use the ... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

Use a graphing utility.An attempt to use the ... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

Subtract on both sides of the equation.The ... more

Verified Answer ✓

Add on both sides of the equation.The solution is... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

Use a graphing utility.The solution is found by ... more

Verified Answer ✓

; Change to base 2 using .Rewrite as 2.Apply ... more

Verified Answer ✓

; Change to base 2 using .Rewrite as 2. ; ... more

Verified Answer ✓

; Change to base 2 using .Rewrite as 2. ; ... more

Verified Answer ✓

; Change to base 3 using .Rewrite as 2. ; ... more

Verified Answer ✓

; Rewrite as .Use the property of exponent, .Use... more

Verified Answer ✓

; Apply the property of logarithm,.Take the ... more

Verified Answer ✓

; Cross multiply.Rewrite the quadratic equation ... more

Verified Answer ✓

; Cross multiply.Rewrite the quadratic equation ... more

Verified Answer ✓

; Cross multiply.Rewrite the quadratic equation ... more

Verified Answer ✓

; Cross multiply.Rewrite the quadratic equation ... more

Verified Answer ✓

; Change to base 3 using . ; Substitute in base... more

Verified Answer ✓

; Change to base 2 using . ; Substitute in base... more

Verified Answer ✓

Solution A:Taking antilog.Taking square root of ... more

Verified Answer ✓

; Factor. ; Solve for each value of . ;    ; more

Verified Answer ✓

The function is one-to-one. ; In the given point... more

Verified Answer ✓

  ; Substitute as in , therefore .Find the LCD ... more

Verified Answer ✓

or ; The domain of a radical function must always ... more

Verified Answer ✓

; Substitute , and to the formula for simple ... more

Verified Answer ✓

; Solve for by getting the difference between ... more

Verified Answer ✓

principal ; The term for the amount borrowed is ... more

Verified Answer ✓

; When the interest is paid on a yearly basis, ... more

Verified Answer ✓

; The number of periods in a year corresponds to ... more

Verified Answer ✓

effective rate of interest ; This is the ... more

Verified Answer ✓

; Substitute , , and to the compound interest ... more

Verified Answer ✓

; Substitute , , and to the compound interest ... more

Verified Answer ✓

; Substitute , , and to the compound interest ... more

Verified Answer ✓

; Substitute , , and to the compound interest ... more

Verified Answer ✓

; Substitute , , and to the compound interest ... more

Verified Answer ✓

; Substitute , , and to the compound interest ... more

Verified Answer ✓

; Substitute , , and to the formula for ... more

Verified Answer ✓

; Substitute , , and to the formula for ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

; Substitute and to the formula for effective ... more

Verified Answer ✓

; Substitute and to the formula for effective ... more

Verified Answer ✓

; Substitute to the formula for effective rate ... more

Verified Answer ✓

; Substitute to the formula for effective rate ... more

Verified Answer ✓

compounded annually ; Substitute and to the ... more

Verified Answer ✓

compounded quarterly ; Substitute and to the ... more

Verified Answer ✓

compounded monthly ; Substitute and to the ... more

Verified Answer ✓

compounded daily ; Substitute and to the formula... more

Verified Answer ✓

; Substitute , and to the compound interest ... more

Verified Answer ✓

; Substitute , and to the compound interest ... more

Verified Answer ✓

; Substitute , and to the compound interest ... more

Verified Answer ✓

; Substitute , and to the compound interest ... more

Verified Answer ✓

; Substitute and to the formula for effective ... more

Verified Answer ✓

; Substitute to the formula for effective rate ... more

Verified Answer ✓

years;years ; Substitute , , and to the compound... more

Verified Answer ✓

years;years ; Substitute , , and to the compound... more

Verified Answer ✓

years ; Substitute , and to the compound ... more

Verified Answer ✓

years ; Substitute , and to the compound ... more

Verified Answer ✓

; Substitute , , and to the compound interest ... more

Verified Answer ✓

; Substitute , , and to the compound interest ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

; Substitute , , and to the present value ... more

Verified Answer ✓

or per share ; Calculate the value of shares of ... more

Verified Answer ✓

; Substitute , , and to the compound interest ... more

Verified Answer ✓

He will not have enough money since he will only ... more

Verified Answer ✓

; Substitute , and to the compound interest ... more

Verified Answer ✓

Person W ; Find the final amount of invested at... more

Verified Answer ✓

It is better that she takes advantage of the ... more

Verified Answer ✓

This option results in the least interest which is... more

Verified Answer ✓

billion;billion ; Substitute , , and to the ... more

Verified Answer ✓

per capita ; Determine the value of by getting ... more

Verified Answer ✓

; Substitute , and to the inflation formula. ; ... more

Verified Answer ✓

; Substitute , and to the inflation formula. ; ... more

Verified Answer ✓

; Substitute , and to the inflation formula. ; ... more

Verified Answer ✓

; Substitute , and to the inflation formula. ; ... more

Verified Answer ✓

years ; Substitute and to the inflation formula... more

Verified Answer ✓

years ; Substitute and to the inflation formula... more

Verified Answer ✓

; Substitute , and to the given formula. ; ... more

Verified Answer ✓

In years ; Substitute , and to the given formula... more

Verified Answer ✓

( years prior to ) ; Substitute , and to the ... more

Verified Answer ✓

Compound interest is interest paid based on the ... more

Verified Answer ✓

Present value is the value of the amount at the ... more

Verified Answer ✓

The loan offered by Bank because it has the ... more

Verified Answer ✓

Yes, is a factor of . ; Determine the value of ... more

Verified Answer ✓

; Replace with . ; Interchange the variables ... more

Verified Answer ✓

Real zeros: , . ; Determine the maximum number of ... more

Verified Answer ✓

; Determine the domain of the variable by ... more

Verified Answer ✓

Approximately 9.8 grams ; Let , thus in the half-... more

Verified Answer ✓

Approximately 10 grams in 100 yearsApproximately ... more

Verified Answer ✓

minutes ; The temperature of a heated object at a... more

Verified Answer ✓

1.77 ppm172.89 hours ; Substitute , and in to ... more

Verified Answer ✓

26.6 days ; Use the formula for radioactive decay... more

Verified Answer ✓

9:42 PM ; Use the formula , where . From the given... more

Verified Answer ✓

; Compute the slope of the line using .Substitute... more

Verified Answer ✓

neither ; Recall that the two lines are parallel ... more

Verified Answer ✓

; Apply the property of logarithm, , the log of a... more

Verified Answer ✓

; Multiply the numerator and denominator by . ; ... more

Verified Answer ✓

; From the graph given, determine the -intercepts... more

Verified Answer ✓

and domain: and domain: and domain: and domain: ; ... more

Verified Answer ✓

and domain: and domain: and domain: and domain: ; ... more

Verified Answer ✓

and domain: and domain: and domain: and domain: ; ... more

Verified Answer ✓

Since each input value gives a unique output value... more

Verified Answer ✓

; Replace by. ; Interchange and. ; Solve for... more

Verified Answer ✓

; Replace by. ; Interchange and. ; Solve for... more

Verified Answer ✓

; Replace by . ; Interchange and. ; Solve for... more

Verified Answer ✓

; Replace by. ; Interchange and . ; Solve for... more

Verified Answer ✓

; If , then .Replace x with z, a with 5 and y ... more

Verified Answer ✓

; If , then .Replace x with u, a with 5 and y ... more

Verified Answer ✓

; Logarithm is defined only for positive values... more

Verified Answer ✓

; As logarithm is defined only for positive ... more

Verified Answer ✓

; Use the exponent formula:Use the properties of ... more

Verified Answer ✓

; Use the properties of logarithms: Use ; more

Verified Answer ✓

0.4 ; Use the properties of logarithms: Use ; more

Verified Answer ✓

; Use .Use Use . ; more

Verified Answer ✓

; Use .Use ; more

Verified Answer ✓

; Use .Use ; more

Verified Answer ✓

; Use Use Use ; more

Verified Answer ✓

; Use Use Use ; more

Verified Answer ✓

2.124 ; Use change of base formula: Use calculator... more

Verified Answer ✓

Use change of base formula: ; Enter into a ... more

Verified Answer ✓

; Write 8 and 4 in the exponent form with common ... more

Verified Answer ✓

or ; Write in the exponent form. ; If , then .Use... more

Verified Answer ✓

; If , then .Replace x with 64, a with x and y ... more

Verified Answer ✓

or ; Since, 3 and 5 can't be written in ... more

Verified Answer ✓

; Write 25 in the exponent form with base equals ... more

Verified Answer ✓

; If , then .Replace x with , a with 3 and y with... more

Verified Answer ✓

; Write 8 and 4 in the exponent form with base ... more

Verified Answer ✓

; Since, 2, 5 and 10 can't be written in ... more

Verified Answer ✓

; Use .If , then .Replace x with , a with 6 and y... more

Verified Answer ✓

; If , then ; Solve for x. ; more

Verified Answer ✓

or ; Write the given equation in quadratic form.... more

Verified Answer ✓

$20398.874.04%17.5 years ; Use the CI formula:... more

Verified Answer ✓

$41668.97 ; Use the PV formula:Substitute and ... more

Verified Answer ✓

24,765 years ; Use the formula for exponential ... more

Verified Answer ✓

55.65 minutes ; Use the formula for Newton's law ... more

Verified Answer ✓

7967521519 ; Use the formula for the growth and ... more

Verified Answer ✓

7.204 g; 0.519 g ; Use the formula for exponential... more

Verified Answer ✓

Domain of : Range of : Domain of : Range of : ; ... more

Verified Answer ✓

; A function is said to be one-to-one if there is... more

Verified Answer ✓

; Write 243 in the exponent form with base 3.Use ... more

Verified Answer ✓

; If , then .Replace x with 16, a with b and y ... more

Verified Answer ✓

; If , then .Replace a with 5 and y with 4.Write ... more

Verified Answer ✓

22.086 ; Press "[2nd][LN]" key.Enter 3 using the ... more

Verified Answer ✓

1.301 ; Press "[LOG]" key.Enter 20 using the ... more

Verified Answer ✓

2.771 ; Use change of base formula: ; Press "[LOG... more

Verified Answer ✓

4.890 ; Press "[LN]" key.Enter 113 using the ... more

Verified Answer ✓

; Write 125 in the exponent form with base 5. ; ... more

Verified Answer ✓

; If , then .Replace x with , a with 10 and y ... more

Verified Answer ✓

; If , then ; Solve for x. ; more

Verified Answer ✓

; If , then . ; Use quadratic formula: Substitute... more

Verified Answer ✓

; Take logarithm on both sides.Use the properties... more

Verified Answer ✓

; To solve for x, first use . Then rewrite using ... more

Verified Answer ✓

; Use .Use .Use .Use the properties of logarithms... more

Verified Answer ✓

250.39 days ; Use the formula for the growth and ... more

Verified Answer ✓

Substitute and into the given equation.As the ... more

Verified Answer ✓

; Distribute to remove the parentheses. ; Solve ... more

Verified Answer ✓

To graph a line, find two points.Substitute into ... more

Verified Answer ✓

; Plug and into the vertex form, , of a ... more

Verified Answer ✓

exponential ; From the graph, the following can be... more

Verified Answer ✓

Draw the graph of the basic function, . ; As 1 is ... more

Verified Answer ✓

; Write 8 and 4 in the exponent form with base ... more

Verified Answer ✓

; Use .Use the properties of logarithms:If , then... more

Verified Answer ✓

 Honda Accord EXE.SG.SF.S0$26,4261$22,117$20,617$... more

Verified Answer ✓

Triangle represents the cost of a BNC.Circle ... more

Verified Answer ✓

Car A: Car B: Car C: ; A model is the same as a ... more

Verified Answer ✓

represents the initial price.represents the ... more

Verified Answer ✓

Honda Accord EX ; The depreciation of the car is ... more

Back to Top

Log In

Contact Us

Upload An Image

Please select an image to upload
Note: must be in .png, .gif or .jpg format
OR
Provide URL where image can be downloaded
Note: must be in .png, .gif or .jpg format

By clicking this button,
you agree to the terms of use

By clicking "Create Alert" I agree to the Uloop Terms of Use.

Image not available.

Add a Photo

Please select a photo to upload
Note: must be in .png, .gif or .jpg format