Use the binomial theorem to expand the expression.(3x - 2y)3

A. 9x3y - 12x2y2 + 4xy3
B. 27x3 - 18x2y + 12xy2 - 8y3
C. 9x3y - 6x2y2 + 4xy3
D. 27x3 - 54x2y + 36xy2 - 8y3

Answer: D

Mathematics

Translate the sentence into a mathematical statement. Do not solve the equation.Four times a number added to 9 times the number equals 39.

A. 4(x + 9) = 39x B. 4x(9 + x) = 39 C. 4x - 9x = 39 D. 4x + 9x = 39

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Mathematics

Use synthetic division to find the quotient and the remainder.6x5 - 5x4 + x - 4 is divided by x +

A. 6x⁴ - 2x³ - x² + x + ; remainder -
B. 6x⁴ - 8x³ + 4x² - 2x + 2; remainder -5
C. 6x⁴ - 2x³ + x² - x + ; remainder -
D. 6x⁴ - 8x³ + 5; remainder -

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Mathematics

Factor the trinomial, or state that the trinomial is prime.x2 - 15xy + 54y2

A. (x - 9y)(x - 6y) B. (x + 9y)(x + y) C. (x + 9y)(x - 6y) D. prime

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Mathematics

Based on the graph, find the range of y = f(x).f(x) =

A. (-10, 10) B. (-?, ?) C. (-?, 0) or {0} or (0, ?) D. (-?, 0) or (0, ?)

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Mathematics