Factor completely.512y3 - 729

A. (8y - 9)(64y2 + 81)
B. (512y - 9)(y2 + 72y + 81)
C. (8y + 9)(64y2 - 72y + 81)
D. (8y - 9)(64y2 + 72y + 81)


Answer: D

Mathematics

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Write a system of three inequalities that describe the constraints in the problem.Mrs. White wants to crochet beach hats and baby afghans for a church fund-raising bazaar. She needs 5 hours to make a hat and 2 hours to make an afghan and she has 31 hours available. She wants to make no more than 11 items and no more than 9 afghans. The bazaar will sell the hats for $11 each and the afghans for $5 each. Let x equal the number of hats made and y equal the number of afghans made.

A. 2x + 5y ? 31, x + y ? 11, y ? 9 B. 5x + 2y ? 31, x + y ? 11, y ? 9 C. 11y + 5x ? 31, x + y ? 11, y ? 9 D. 11x + 5y ? 31, x + y ? 11, y ? 9

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Use synthetic division to divide.(5x3 - 2x2 - 7x - 14) ÷ (x - 2)

A. 5x2 + 8x - 23 - 
B. 5x2 + 8x + 9 + 
C. 5x2 + 8x + 9 - 
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Mathematics