Tell where the function is decreasing.
?

?

A. always increasing
B. always decreasing
C. (0, ?)
D. always constant
E. (-?, 0)


Answer: E

Mathematics

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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

Mathematics

Solve the absolute value equation.|0.8x + 13| = |x + 0.2|

A. no solution B. x = -7.333, 64 C. x = -1.667, -1.571 D. x = -7.111, 66

Mathematics

Solve the inequality and draw a number line graph of the solution.2 < 4x - 3 < 17

A.

B.

C.

D.

Mathematics

Evaluate the improper integral or state that it is divergent.

A.
B.
C. 0
D. ? + 8

Mathematics