Write a system of three inequalities that describe the constraints in the problem.An office manager is buying used filing cabinets. Small file cabinets cost $4 each and large file cabinets cost $11 each, and the manager cannot spend more than $57 on file cabinets. A small cabinet takes up 6 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 63 square feet of floor space available for file cabinets. The manager must buy at least 6 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.
A. 4x + 11y ? 57; 9x + 6y ? 63; x ? 6
B. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6
C. 4x + 11y ? 57; 6x + 9y ? 63; x + y ? 6
D. 4x + 11y ? 57; 6x + 9y ? 63; y ? 6
Answer: B
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Answer the question about spiral growth in nature. The cross section of a tree trunk is an example of: I. Logarithmic spiral II. One-sided or asymmetric growth III. Gnomonic growth
A. III only B. II only C. I and II D. II and III E. I, II and III
For the polynomial function, find the requested value.f(x) = 5x3 + 6x2 - 16; f(-2)
A. -32 B. -68 C. -44 D. -42
Find the inverse of the function.f(x) = 
A. f-1(x) = (x - 7)3
B. f-1(x) = (x + 7)3
C. f-1(x) = x3 + 7
D. f-1(x) = 
- 7
Solve the problem.In the following formula, y is the minimum number of hours of studying required to attain a test score of x: 
How many hours of study are needed to score 89? Round your answer to the nearest hundredth, if necessary.
A. 38.70 hr B. 100.93 hr C. 3.87 hr D. 7.16 hr