Factor using the formula for the sum or difference of two cubes.27x3 + 64

A. (3x - 4)(9x2 + 12x + 16)
B. (3x + 4)(9x2 + 12x + 16)
C. (3x + 4)(9x2 + 16)
D. (3x + 4)(9x2 - 12x + 16)


Answer: D

Mathematics

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Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.(24a)5

A. 220a5 B. 24a5 C. 29a D. 29a5

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Solve the problem.In the following formula, f(x) is the minimum number of hours of studying required to attain a test score of x:   How many hours of study are needed to score 96?

A. 21.45 hr B. 99.96 hr C. 11.09 hr D. 110.90 hr

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Calculate and write the result as a decimal.(-3.1629)

A. -1.4331
B. -1.43
C. -1.43
D. -1.4376

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Provide an appropriate response.If a circle with a diameter of 10.2 units were to be drawn in the coordinate plane with its center at the origin, what would be the coordinates of its x- and y-intercepts?

A. (10.2, 0), (0, 10.2) B. (-5.1, 0), (5.1, 0), (0, -5.1), (0, 5.1) C. (-10.2, 0), (10.2, 0), (0, -10.2), (0, 10.2) D. (5.1, 0), (0, 5.1)

Mathematics