Factor the polynomial completely.343p3 - 1

A. (7p - 1)(49p2 + 1)
B. (7p + 1)(49p2 - 7p + 1)
C. (343p - 1)(p2 + 7p + 1)
D. (7p - 1)(49p2 + 7p + 1)


Answer: D

Mathematics

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Sketch the graph of the function. Describe how the graph can be obtained from the graph of a basic logarithmic function.f(x) = ln x - 6

A. Shift y = ln x down 6 units

B. Shift y = ln x right 6 units

C. Shift y = ln x up 6 units

D. Shift y = ln x down 6 units

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Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.

A. x12
B.
C.
D. -x12

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A. Yes B. No

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Solve.Find the equilibrium point for the given supply and demand functions. Here y represents price and x represents quantity. y = 4750 - 60x (demand) y = 130x (supply)

A. 70, $3250 B. 25, $3250 C. 70, $550 D. 36, $2590

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