Solve.The average cost per tape, in dollars, for a company to produce x sports videotapes is given by the functionA(x) =
for x > 0
Graph the function on the interval (0, ?) and complete the following:A(x) ?
as x ? ?.
A.
A(x) ? 20 as x ? ?.
B.
A(x) ? 15 as x ? ?.
C.
A(x) ? 1 as x ? ?.
D.
A(x) ? 0 as x ? ?.
Answer: B
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Solve the problem by integration.Find the first-quadrant area bounded by and x = 6.
A. 6 ln
B. 3 ln
C. 6 ln
D. 6 ln 369
Find the base 10 logarithm of the given number.The U.S. gross domestic product (GDP) in a particular year was 10.40 × 1012 dollars.
A. 29.97 B. 22.4 C. 12.80 D. 13.02
Factor the expression completely, if possible.x4 - 100y2
A. (x + 10y)(x - 10y) B. (x2 + 10y2)(x2 - 10y2) C. (x2 + 10y)(x2 - 10y) D. (x2 - 10y)2
A toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 ft of trim.It costs the company $1.42 to make each dog and $1.55 for each dinosaur. The company wants to minimize its costs. What are the constants in the corresponding dual model?
A. 300, 700, 230 B. 1, 2 C. 4, 3 D. 1.42, 1.55