homework-chapter # 10-14 (a)

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■ hint: for q i , think about the exponent rules that you will need to apply. if x an j x q, w h a t i s the value of c? 9x 3 if a and b are positive integer constants and x a yb = -128 , where x 1hint: for q6, what do you need to do before squaring both sides? 8 + 2x -+ 2— = 9 for what value of x is this equation true? -10 -2 © 19 no solution . hint: for q9, remember that the denominator of the exponent becomes the root, and the numerator remains the exponent. 4 when simplified, 8 3 is what number? 3x = x + 14 3z 2 - 11 + 2x = 22 if z > 0, what is the value of z? ' ® 1 ; ® 3 © 5 © 8 10 hint: …

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$uals the dividend (the numerator). for q 19, stop as soon as you have the value of t. the equation — * 2 + 16x — — = -9x + 5 -n tx — 4 tx — 4 is true for all values of x for which x j, where t is a constant. what is the value of r? ® -20i . :--------------_ - ' ® ~4i ____ ______ __ © 4 i © 12 17 hint: for q 17, if the fraction simplifies to ax + b, the denominator divides evenly into the numerator. does that suggest another approach? 6x 2 + 19x4- 10 2x4- 5 if ax 4- b represents the simplified form of the expression shown, then what is the value of a 4- b? if the polynomial /(x) is evenly divisible by x — 5 and the polynomial (x) =/(x) 4- 4, what is the …$

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ormation is represented by a root of this function? ® the maximum height achieved by the balloon ® the total horizontal distance traveled by the balloon © the maximum speed of the balloon © the initial acceleration of the balloon■ ttt fl 28 m athhint: for q28, no original amount is given. what would be a good number to pick for that amount? , 4 c (an isotope of carbon) has a half-life of 5,600 years, which means half of the , 4 c in the remains of an organism will decay in that time period. if a sample of a petrified tree contains 6.25 percent of its original 14 c, how long ago did the tree die? (a) 22,400 years 26 hint: for q26, keep track of your calculations by making a chart with the number of applicants a t the start of the day and the number of …

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account. if $500 is invested into each account, what is the positive difference between the value of account x and account y after three years? (round your answer to the nearest dollar.) 34 j fx 3 - __ 9> w h a t i s the value ofx? i ® “3 :® o © 3 ! © 9 31 hint: for q31, multiply both sides by a common denominator or cross-multiply. (they are the same thing.) given the equation - and the constraints x * 0 and k* —2, what is x in terms of k? (a) x = 2k + 4 x =© 2k + 12 ______ _ __ _ _________ _ __________j © x=2k — 44 © x = ±k + 12 j4 35 if 4 + a is equivalent to what is a in terms of x? ® 7x + 4 © 7x — 4 © 49x2 …

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■ hint: for q i , think about the exponent rules that you will need to apply. if x an j x q, w h a t i s the value of c? 9x 3 if a and b are positive integer constants and x a yb = -128 , where x 1hint: for q6, what do you need to do before squaring both sides? 8 + 2x -+ 2— = 9 for what value of x is this equation true? -10 -2 © 19 no solution . hint: for q9, remember that the denominator of the exponent becomes the root, and the numerator remains the exponent. 4 when simplified, 8 3 is what number? 3x = x + 14 …

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