The graph and equation of a polynomial f(x) are given. Determine the number of real zeros and the number of imaginary zeros.f(x) = x3 - 9x2 + 27x - 25
A. One real zero; no imaginary zeros
B. Three real zeros; no imaginary zeros
C. One real zero; one imaginary zero
D. One real zero; two imaginary zeros
Answer: D
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Determine whether the statement is true or false.If a > b > c, then the greatest common factor of paqb, pbqc, and pcqa is paqa.
A. True B. False
Solve the problem.The length of a rectangular box is more than its width, and its height is
more than its width. If the volume of the box is exactly 1000.00 inches3, what is the width of the box?
A. 9.3333 in. B. 9.0337 in. C. 9.0 in. D. 9.0333 in.
Divide.
A. 0 B. 1 C. -46 D. undefined
Set up the linear programming problem.An office manager is buying used filing cabinets. Small file cabinets cost $6 each and large file cabinets cost $9 each, and the manager cannot spend more than $93 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 8 square feet, and the office has no more than 80 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought. Write a system of inequalities that describes these constraints.
A. 6x + 9y ? 93 5x + 8y ? 80 y ? 5 B. 6x + 9y ? 93 5x + 8y ? 80 x + y ? 5 C. 6x + 9y ? 93 5x + 8y ? 80 x + y ? 5 D. 6x + 9y ? 93 8x + 5y ? 80 x ? 5