Solve the equation.
+
= -1
A. ?
B. {0}
C. {5}
D.
Answer: A
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Graph the system of inequalities. Shade the region that represents the solution set.x2 - y? 7x + y< -3
A.
B.
C.
D.
Use duality to solve the problem.Minimizew = 4y1 + 2y2subject to:3y1 + 2y2 ? 60 4y1 + y2 ? 40 y1 ? 0, y2 ? 0
A. 48 B. 64 C. 66 D. 80
Solve the problem.Alan is building a garden shaped like a rectangle with a semicircle attached to one short side along its diameter. The diameter of the semicircle is equal to the width of the short side of the rectangle. If he has 30 feet of fencing to go around the garden, what dimensions will give him the maximum area in the garden?
A. width = ? 5.4, length = 8.1
B. width = ? 8.4, length = 4.2
C. width = ? 4.2, length = 8.4
D. width = ? 8.4, length = 10.8
A population is growing according to the logistic model , where t is the time in days. Find the average population over the interval
. Round your answer to one decimal place.
?
A. 456.9 ft.lbs B. ?1,868.2 ft.lbs C. 969.4 ft.lbs D. 4,711.1 ft.lbs E. 4,119.4 ?ft.lbs