Find the average value of 
over the given region.
over the rectangular solid in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 
B. 
C. 15
D. 10
Answer: C
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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.Ms. Patterson proposes to give her daughter Claire an allowance of $0.20 on the first day of her 15-day vacation, $0.40 on the second day, $0.80 on the third day, and so on. Find the allowance Claire would receive on the last day of her vacation.
A. $6553.60 B. $3.00 C. $16,384.20 D. $3276.80
Find the product.(3x - 6y)(5x + 9y + 1)
A. 15x2 - 3xy - 3y2 B. 15x2 + 27xy + 3x - 54y2 C. 15x2 - 3xy + 3x - 54y2 - 6y D. 15x2 - 30xy + 3x - 54y2 - 6y
Provide an appropriate response.Decide whether the elimination method or the substitution method involves the least amount of work. Do not solve.-8x - 9y = 39-3x - 7y = 40
A. Elimination B. Substitution