Solve the problem.If f(x) =
, g(x) =
, and h(x) = 5x+ 20, find h(g(f(x))).
A. + 4
B.
C. 5 + 20
D. + 20
Answer: D
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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
Solve the problem. Round to the nearest hundredth, if necessary.The average weekly income of teachers in one school district is $760 with a standard deviation of Find the percentage of teachers earning more than $820 a week.
A. 78.81% B. 81.33% C. 80% D. 21.19%
Simplify the rational expressions.
A. 1
B. 3
C.
D.
Use the Binomial Theorem to expand the binomial.(x+ 5y)4
A. x4 + 20x3y + 150x2y2 + 20xy3 + 625y4 B. x4 + 5x3y + 150x2y2 + 250xy3 + 625y4 C. x4 + 4x3y + 6x2y2 + 4xy3 + y4 D. x4 + 20x3y + 150x2y2 + 500xy3 + 625y4