Simplify. Be sure to rationalize the denominator. Assume that all variables represent positive real numbers.

A.
B.
C. 4x
D.


Answer: D

Mathematics

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Factor the perfect square trinomial completely.18x2 - 24xy + 8y2

A. 2(3x - 2y)2 B. prime C. 2(3x - 2y)(3x + 2y) D. 2(3x + 2y)2

Mathematics

Find a quadratic function expressed in vertex form that models the data in the given table.

A. y = 3(x - 1)2 + 12 B. y = 2(x - 1)2 + 12 C. y = 2(x + 1)2 + 12 D. y = 3(x + 1)2 + 12

Mathematics

Citation Manufacturing produces electronic components that sell for $600 each. The fixed production costs are $720,000 when 30,000 or fewer components are produced, and variable production costs are $510 per component. What is Citation's operating breakeven point?

A. 8,000 components B. 1,200 components C. 1,412 components D. $720,000 in sales E. $389,189 in sales

Mathematics

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.(1 - i)10

A. 32 - 32i B. -32i C. 32 D. -32 + 32i

Mathematics