Let p represent 7 < 8, q represent 2 < 5 < 6, and r represent 3 < 2. Decide whether the statement is true or false.~q ? ~r
A. True
B. False
Answer: B
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Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers.7
- 5
A. 18
B. 2
C. -18
D. cannot simplify
Solve by the substitution method.8x + 9y = -11-2x + 7y = -25
A. (-11, -25) B. (1, -2) C. (2, -2) D. (2, -3)
Simplify the radical expression. If appropriate, include absolute values.
A. 7x
B. 7
C. -7
D. 49x
Solve the problem.An office manager is buying used filing cabinets. Small file cabinets cost $7 each and large file cabinets cost $12 each, and the manager cannot spend more than $104 on file cabinets. A small cabinet takes up 7 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 92 square feet of floor space available for file cabinets. The manager must buy at least 7 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. 7x + 12y ? 104 9x + 7y ? 92 x ? 7 B. 7x + 12y ? 104 7x + 9y ? 92 x + y ? 7 C. 7x + 12y ? 104 7x + 9y ? 92 x + y ? 7 D. 7x + 12y ? 104 7x + 9y ? 92 y ? 7