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
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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
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
Use substitution to determine whether the given number is a zero of the given polynomial.-2; g(x) = -4x3 + x2 + 4x - 2
A. Yes B. No
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