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
Answer: B
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Factor completely.49p2q2 + 28pq + 4
A. (7p + 2q)2 B. (7pq + 2)2 C. (7pq - 2)2 D. (7pq + 2)(7pq - 2)
Provide an appropriate response.Explain why 
= ?x? when k is even but 
= x when k is odd.
What will be an ideal response?
Solve the problem.A wildlife researcher is monitoring a black bear that has a radio telemetry collar with a transmitting range of 19 miles. The researcher is in a research station with her receiver and tracking the bear's movements. If we put the origin of a coordinate system at the research station, what is the equation of all possible locations of the bear where the transmitter would be at its maximum range?
A. x2 + y2 = 361 B. x2 - y2 = 19 C. x2 + y2 = 19 D. x2 + y2 = 38
Provide an appropriate response.Let p0, p1, and p2 be points in ?n and define 
and 
Find g
in terms of the three points.
A. g
= 
p0 + 
p1 + 
p2
B. g
= 
p0 + 
p1 + 
p2
C. g
= 
p0 + 
p1
D. g
= 
p0 + 
p1 - 
p2