Algebra and Trigonometry (5th Edition)

Chapter 3

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; Express 3 as the product of 1 and 3 in the ... more

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; Express 21 as the product of 1 and 21 in the ... more

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; Express 25 as the product of 1 and 25 in the ... more

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; Express 100 as the product of 1 and 100 in the ... more

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; Express 33 as the product of 1 and 33 in the ... more

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; Express 59 as the product of 1 and 59 in the ... more

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; Express 81 as the product of 1 and 81 in the ... more

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; Express 9 as the product of 1 and 9 in the ... more

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; Express 98 as the product of 1 and 98 in the ... more

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; Express 28 as the product of 1 and 28 in the ... more

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; Group the real and imaginary parts. ; Combine ... more

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; Group the real and imaginary parts. ; Combine ... more

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; Group the real and imaginary parts. ; Combine ... more

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; Group the real and imaginary parts. ; Combine ... more

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; Group the real and imaginary parts. ; Combine ... more

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; Group the real and imaginary parts. ; Add the ... more

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; Group the real and imaginary parts. ; Combine ... more

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; Group the real and imaginary parts. ; Combine ... more

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; Write the radical terms into the imaginary form... more

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; Write the radical terms of the given numbers in... more

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; Group the real and imaginary parts. ; Add the ... more

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; Group the real and imaginary parts. ; Add the ... more

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; Group the real and imaginary parts. ; Add the ... more

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; Group the real and imaginary parts. ; Add the ... more

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; Group the real and imaginary parts. ; Add the ... more

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; Collect the real and imaginary parts. ; Add the... more

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; Group the real and imaginary parts. ; Add the ... more

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; Group the real and imaginary parts. ; Add the ... more

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; Group the real and imaginary parts. ; Add the ... more

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; Group the real and imaginary parts. ; Add the ... more

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  ; Write the term 4 as the product of 1, 4 and ... more

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; Write the term 49 as the product of 1, 49 and ... more

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; Write the term 81 as the product of 1, 81 and ... more

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; Write the term 16 as the product of 1, 16 and ... more

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; To distribute the parentheses, multiply by ... more

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; To distribute the parentheses, multiply by each... more

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; To distribute the parentheses, multiply by ... more

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; To distribute the parentheses, multiply by ... more

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; Multiply each term of  by every term of and ... more

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; Multiply each term of by every term of and ... more

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; Multiply each term of by every term of . ; ... more

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; Multiply each term of by every term of . ; ... more

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; Multiply each term of by every term of . ; ... more

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; Multiply each term of by every term of . ; ... more

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; Multiply each term of by every term of . ; ... more

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; Multiply each term of by every term of . ; ... more

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; Write 16 as the product of 1, 16 and 25 as the ... more

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; Write 16 as the product of 1, 16 and 9 as the ... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula  and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify.  ; Substitute... more

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; Apply the formula and simplify. ; Substitute ... more

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; Apply the formula and simplify. ; Substitute ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Multiply the conjugate of the denomintor, that ... more

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; Apply the formula and simplify. ; Substitute ... more

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; Apply the formula and simplify. ; Substitute ... more

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; Find the least common denominator of the given ... more

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; Find the least common denominator of the given ... more

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; Write the given number as the product of and... more

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; Write the given number as the product of and... more

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; Write the given number as the product of and... more

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; Write in terms of . ; Substitute for and ... more

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; Write the given expression in terms of . ; ... more

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; Rewrite the given expression in exponents of ... more

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; Write the given expression as a product of and... more

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; Rewrite the given expression in exponents of ... more

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625 ; Use the rule for raising a product to a ... more

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; Use the rule for raising a product to a power... more

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; Simplify the given equation of a line and ... more

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; A domain is the set of values for which a ... more

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; The given function, f, is defined for all the ... more

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; Substitute for and for into the equation... more

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; Substitute 2 for x into function and solve to ... more

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; Substitute for x into the given function.Apply... more

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Let the expression be where is the real part and... more

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Let the first complex number be and the second ... more

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Let the first complex number be is and the second... more

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; Substitute for into the given expression. ; ... more

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; Substitute for and for into the given ... more

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; Substitute for and for into the given ... more

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; Multiply the terms of the given expression to ... more

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; ; Use the principle of the zero product to find... more

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; ; Use the principle of zero product for the ... more

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; 10 ; Rewrite the middle term as the sum of and... more

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; Rewrite the middle term 6x as the sum of 4x and... more

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; Rewrite the middle term x as the sum of 3x and... more

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; Rewrite the middle term as the sum of and to... more

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; 1.      Add 12 on both sides of the given ... more

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; ; Divide both sides of the given equation by 6... more

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; ; Divide both sides of the given equation by 3... more

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; 1.      Add 20 on both sides of the given ... more

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; 1.      Subtract 10 from both sides of the ... more

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; ; Subtract 12 from both sides of the given ... more

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; ; Subtract 16 from both sides of the given ... more

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; ; Subtract 25 from both sides of the given ... more

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0; 3 ; Subtract from both sides of the given ... more

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0, ; Factor out from the given equation. ; Use ... more

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0; 2; ; Factor out from the given expression ; ... more

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; ; ; Subtract from both sides of the given ... more

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; ;   ; Factor the given equation. ; Use the ... more

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; , ; Factor the given equation. ; Use the ... more

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; ; Add the square of half of the coefficient of ... more

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; Add the square of half of the coefficient of ... more

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; Subtract from both the sides of the given ... more

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; Subtract from both the sides of the given ... more

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; Subtract 25 from both the sides of the given ... more

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; Subtract 13 from both the sides of the given ... more

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; Add 2 on both the sides of the given equation... more

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; Add 3 on both the sides of the given equation... more

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; Rewrite the given equation into the standard ... more

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; Rewrite the given equation into the standard ... more

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; Rewrite the given equation into the standard ... more

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; Compare the given equation with the standard ... more

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; Subtract on both sides of the given equation... more

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; Compare the given equation with the standard ... more

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; Compare the given equation with the standard ... more

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; Subtract on both sides of the given equation... more

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; Subtract 3 on both sides of the given equation... more

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; Subtract on both sides of the given equation... more

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; Subtract on both the sides of the given ... more

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

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; Compare the given equation with the standard ... more

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; Compare the given equation with the standard ... more

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; Rewrite the given equation in the standard form... more

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; Rewrite the given equation in the standard form... more

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; Subtract on both the sides of the given ... more

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; Subtract on both sides of the given equation... more

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; Add 2 on both sides of the given equation. ; ... more

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; Add 4 on both sides of the given equation. ; ... more

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144; two different real number solutions ; ... more

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0; one real number solution ; Compare the given ... more

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; two different imaginary number solutions ; ... more

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; two different imaginary number solutions ; ... more

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49; Two different real-number solutions ; Compare ... more

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236; Two different real-number solutions ; ... more

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; The zeros are the points at which the value of ... more

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; The zeros are the points at which the value of ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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; The zeros are the points at which the value of ... more

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; The zeros are the points at which the value of ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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; ; ; The zeros are the points at which the value ... more

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;;; 1 ; Let . Rewrite the given equation by ... more

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;;; 1 ; Let . Rewrite the given equation by ... more

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;;; ; Let . Rewrite the given equation by ... more

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; i;; 3 ; Let . Rewrite the given equation by ... more

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; 1;; ; Let . Rewrite the given equation by ... more

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; i;; 4 ; Let . Rewrite the given equation by ... more

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16 ; Let . Rewrite the given equation by ... more

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;16                  ; Let . Rewrite the given ... more

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; 64 ; Let . Rewrite the given equation by ... more

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; 8 ; Let . Rewrite the given equation by ... more

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1; 16 ; Let . Rewrite the given equation by ... more

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81;1 ; Substitute for into the given equation ... more

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3; ; Substitute for into the given equation and ... more

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

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;;1; ; Substitute for into the given equation ... more

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4;1;; ; Let, and substitute for into the given ... more

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2011 ; Substitute for into the function and ... more

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2013 ; Substitute 5 for into the function and ... more

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; Substitute 40 for into the given function and ... more

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; Substitute 55 for into the given function and ... more

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; Substitute 55 for into the given function and ... more

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; Substitute 630 for into the given function and... more

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Length: 3 ftWidth: 4 ft ; Let be the width of the... more

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12 cm5 cm ; Let be the length of one leg The ... more

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4 and 9 and ; Let be the one number. This implies... more

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12 and 6 and ; Let be the one number, this ... more

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2 cm ; Let be the side of the square, which is ... more

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or ; Let and be the length and the width of the ... more

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or ; Let  be the length of rectangle and  be the ... more

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1 inch ; Let  be the length of frame and  be the ... more

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The linear function is a function that can be ... more

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The linear function is a function that can be ... more

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The linear function is a function that can be ... more

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The linear function is a function that can be ... more

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The linear function is a function that can be ... more

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The linear function is a function that can be ... more

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; Subtract 2004 from 2014 to find the value of... more

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2020 ; Substitute 5 for into the given equation ... more

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-axis: Yes-axis: YesOrigin: Yes ; Substitute for... more

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-axis: No-axis: YesOrigin: No ; Substitute for ... more

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Odd: Neither even nor odd: ; Replace by in the ... more

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; Use the special product formula, in the given ... more

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2; ; Use the special product formulas, and in the... more

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0;;;; ; Factor out from the expression in the ... more

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;; ; Factor out in the given equation and ... more

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; ; Compare the given equation with standard ... more

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; ; Compare the given equation with standard ... more

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; ; Apply the special product formula to the ... more

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; 3 ; Multiply the terms on both sides of the ... more

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19 ; Substitute for in the equation . ; Factor ... more

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

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; ; Substitute for into the equation and then ... more

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; Multiply the given equation with 2 to write it ... more

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The given equation is of form, which is an ... more

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Compare the given function with the general form ... more

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Factor out from the first 2 terms of the given ... more

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The given expression is only the -coordinate of ... more

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The vertex of the given function is, the axis of ... more

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Compare the given function with the general form ... more

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Compare the given function with the general form ... more

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Compare the given function with the general form ... more

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sec; ft ; Compare the given function with the ... more

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sec; ft         ; Compare the given function ... more

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sec ft ; Compare the given function with the ... more

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sec ft ; Compare the given function with the ... more

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; Let  be the height of the file along the long ... more

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Length: 16 ft; Width: 8 ft ; Let  be the width of ... more

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Length of the base: 10 cm; Height: 10 cm ; Let  be... more

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Length of the base:  cm; Height: ; Let  be the ... more

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350 ; Compare the obtained function with the ... more

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 35501900 ; Substitute for and for into the ... more

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797 40 ; Substitute for and for into the ... more

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63780 ; Substitute for and for into the ... more

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; Let  be the width, so the length is .Substitute... more

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Length: Width:  ; The length and width of object W... more

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; Let  be the depth of W,  be the time in seconds... more

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; Let be the height of C, be the time in ... more

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3 ; Substitute for and for into the given ... more

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; Substitute for and for into the given ... more

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Form a table to represent the values of and ... more

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Form a table to represent the values of and ... more

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; Compare the given function with to find the ... more

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; Compare the given function with to find the ... more

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Compare the obtained equation with the general ... more

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;  The quadratic function with vertex is given ... more

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; ; Let the formed circle be of radius . So, the ... more

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Let the expression be where is the real part and... more

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The -intercept of the quadratic equation ... more

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The quadratic formula for the roots of the ... more

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Compare the given function with the standard form ... more

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; Write the term as the product of and 36 for ... more

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; Write the term as the product of and 5 for ... more

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; Write the term as the product of and 16 for ... more

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; Write the term as the product of and 32 for ... more

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; Collect the real and imaginary parts of the ... more

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; Collect the real and imaginary parts of the ... more

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; Multiply each term of with each term of . ; ... more

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

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; Write in terms of . ; Substitute for into ... more

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1 ; Write in terms of . ; Substitute for into ... more

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; Write in terms of . ; Substitute for into ... more

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; Separate the power for 2 and in the given ... more

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; Compare the given equation with the standard ... more

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; Write the term  on the left side of the given ... more

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; Divide both sides of the given equation by 4... more

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; Shift the term 100 to the right side of the ... more

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; ; Equate the equation of the given function to 0... more

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; Write the given equation in terms of and then ... more

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; Write the given equation in terms of and then ... more

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5 and 7; and ; Let x be one number, so will be ... more

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Base: 8 in; Height: 8 in ; Let and be the be the... more

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Not always ; Let two imaginary numbers be and .Add... more

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The number of  -intercepts can be predicted by ... more

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Isolate the variables to one side and arrange them... more

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; ;  The roots of a functionare obtained by ... more

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; Since 4, 5, and t do not have any common factor... more

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; Since 6 is a multiple of 3, it means the least ... more

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  ; Since 4 and 5 do not have any common factor, ... more

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; Since 3 and 2 do not have any common factor, ... more

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; Since 2, 3, and do not have any common factor... more

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; The least common denominator of the given ... more

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; The least common denominator of the given ... more

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7 ; The least common denominator of the given ... more

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; The least common denominator of the given ... more

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; The least common denominator of the given ... more

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2, 3 ; The least common denominator of the given ... more

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, 4 ; The least common denominator of the given ... more

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6, ; Factor the denominator, . ; The least common ... more

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4 ; Factor the denominator, . ; The least common ... more

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5, ; The least common denominator of the given ... more

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5, ; The least common denominator of the given ... more

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7 ; Factor the denominator, . ; The least common ... more

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; Factor the denominator, . ; The least common ... more

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No solution ; Factor the denominator, . ; The ... more

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No solution ; Factor the denominator, . ; The ... more

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; Factor the denominators and . ; The least ... more

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; Factor the denominators and . ; The least ... more

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; Factor the denominators  and . ; The least ... more

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; Factor the denominators and . ; The least ... more

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2 ; Factor the denominator, . ; The least common ... more

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3 ; Factor the denominator, . ; The least common ... more

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No solution ; Factor the denominator, . ; The ... more

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No solution ; Factor the denominator . ; The least... more

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{is a real number and 0, 6} ; Factor the ... more

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{is a real number and 0, 15} ; Factor the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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No Solution ; Subtract 4 from both sides of the ... more

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; Add 5 to both sides of the given equation. ; ... more

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6 ; Add 2 to both sides of the given equation. ; ... more

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20 ; Subtract 1 from both sides of the given ... more

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; Subtract 3 from both sides of the given ... more

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30 ; Add 2 to both sides of the given equation. ; ... more

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; Add 3 to both sides of the given equation. ; ... more

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; Subtract 2 from both sides of the given ... more

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; Add 4 to both sides of the given equation. ; ... more

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; Subtract 2 from both sides of the given ... more

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; Subtract 8 from both sides of the given ... more

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; Add 1 to both sides of the given equation. ; ... more

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5 ; Subtract 2 from both sides of the given ... more

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3 ; Subtract 1 from both sides of the given ... more

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7 ; Subtract 5 from both sides of the given ... more

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1 ; Add 1 to both sides of the given equation. ; ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; Subtract from both sides of the given equation... more

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; Addto both sides of the given equation to ... more

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No solution ; Subtract from both sides of the ... more

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; Apply the principle of powers for to take the ... more

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; Subtract from both sides of the given equation... more

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; Subtract from both sides of the given equation... more

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3, 7 ; Add to both sides of the given equation to... more

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; Subtract from both sides of the given equation... more

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5 ; Add to both sides of the given equation to ... more

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9 ; Subtract from both sides of the given ... more

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; Subtract from both sides of the given equation... more

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5 ; Apply the principle of powers for to square ... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take ... more

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; Apply the principle of powers for to take ... more

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No solution ; Apply the principle of powers for ... more

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; The least common denominator is . Multiply both... more

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; The least common denominator is . Multiply both... more

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; Apply the principle of powers for to take the ... more

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; Apply the principle of powers for to take the ... more

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; The least common denominator is . Multiply both... more

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; The least common denominator is . Multiply both... more

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; Add 1 to both sides of the given formula. ; ... more

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; Apply the principle of powers for to take the ... more

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; The least common denominator is. Multiply both ... more

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; The least common denominator is. Multiply both ... more

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; Set equal to the 0 and solve the obtained ... more

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3 ; Set equal to the 0 and solve the obtained ... more

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C: 53,800,000; US: 10,508,000 ; Let represents ... more

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119,771 ; Let represent the number of sportsman ... more

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; Apply the principle of powers for to take the ... more

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; The least common denominator of the given ... more

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; The least common denominator of the given ... more

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10 ; Apply the principle of powers for to take ... more

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; Apply the principle of powers for to take the ... more

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; Apply the definition of absolute value to find... more

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; Apply the definition of absolute value to find ... more

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0 ; Apply the definition of absolute value to find... more

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; ; Apply the definition of absolute value to find... more

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; ; Apply the definition of absolute value to find... more

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No solution ; The absolute value can never be ... more

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No solution ; The absolute value can never be ... more

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