Multiply the polynomials using the special product formulas. Express the answer as a single polynomial in standard form.(x - 3)3

A. x3 - 9x2 + 15x - 27
B. x3 - 9x2 + 9x - 27
C. x3 - 9x2 + 27x - 27
D. x3 - 3x2 + 15x - 27


Answer: C

Mathematics

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Solve the quadratic equation.x2 + 2x - 35 = 0

A. 7, -5 B. -7, 5 C. 7, 5 D. -7, 1

Mathematics

Use a calculator (in radian mode) to evaluate the given expression.sin(cos-1 0.8324)

A. 0.1389 B. 0.5542 C. 0.6324 D. 0.0175

Mathematics

Find the apportionment asked for.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table. Find the apportionment for state D using Hamilton's method.

A. 26 B. 24 C. 25 D. 23

Mathematics

Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = -1 and b = 0f(x) = 3x3 - 9x2 - 2x + 8

A. f(-1) and f(0) have the same sign, therefore the intermediate value theorem cannot be used to determine whether the function f has a real zero between -1 and 0. B. f(-1) and f(0) have opposite signs, therefore the function f does not have a real zero between -1 and 0. C. f(-1) and f(0) have the same sign, therefore the function f has a real zero between -1 and 0. D. f(-1) and f(0) have opposite signs, therefore the function f has a real zero between -1 and 0.

Mathematics