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32 < 35. Quantity B is greater. (16)(2) = 32 and (͙35 81. d. The relationship cannot be determined. There is not enough information to determine an answer. 82. c. 26 = 64; therefore, r = 2. 25 = 32. Both quantities are equal to 32. 12 = m6 and (m2)5 = m10; since m is greater than 1, quantity B 83. b. ͙m ෆ is greater than quantity A. 84. b. 4y. 2y. 2y. Quantity B is greater. 85. b. 20 to get 24 more refrigerators sold. Add 24 to the number of refrigerators sold last year to get the number sold this year; 120 + 24 = 144; 144 refrigerators were sold this year.
The sum of the roots is 7 + −3 = 4. The product of the roots is (−7)(3) = −21. 138. c. The arch is in the shape of a parabola, and the maximum arch height (the y value) is the height at the vertex. 2 = 10. 1(10) . 1(100) = 20 − 10 = 10. So the maximum arch height is 10 feet. 139. b. By the distributive property, x(x + 7) = x2 + 7x for column A. Since x < 0, x is negative, and therefore 7x is negative, x2 + 7 will be greater in this case. 140. a. The quantity (x + 3)2 = (x + 3)(x + 3). By the distributive property, this equals x2 + 3x + 3x + 9 = x2 + 6x + 9.
8 more than any number (p + 8) is more than 8 less than that number ( p − 8). 5. d. The relationship cannot be determined. If the value of x is 0, then both quantities are 0. If the value of x is positive, then 35x is greater than 31x. If the value of x is negative, then 31x is greater than 35x. 6. a. Since a is a negative number (a < 0), a2 is a positive number because a negative times a negative is a positive; a3 is a negative number because three negatives multiply to a negative answer. A positive is always greater than a negative, so quantity A is greater than quantity B.