An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 2yConstraintsx ? 0 0 ? y ? 5 x - y ? 9 x + 2y ? 12
A. Maximum: 63; at (9, 0)
B. Maximum: 24; at (2, 5)
C. Maximum: 10; at (0, 5)
D. Maximum: 72; at (10, 1)
Answer: D
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Predict the general, or nth term, an, of the sequence.4, 16, 64, 256, 1024, . . .
A. 4n B. 4n-1 + 3 C. 12n D. 4 + 12(n - 1)
Simplify the rational expressions.
A. 
B. 
C. 
D. 
Solve the problem.Rachel's bus leaves at 4:10 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 6 meters per second, arrives at the bus station 3 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time, and simulate the motion of the bus and Rachel by simultaneously graphing these equations.
A. Bus: x1 = t2, y1 = 2;
Rachel: x2 = 6(t + 3), y2 = 4
B. Bus: x1 = t2, y1 = 2;
Rachel: x2 = 6(t - 3), y2 = 4
C. Bus: x1 = 3t2, y1 = 2;
Rachel: x2 = 6(t - 3), y2 = 4
D. Bus: x1 = 3t2, y1 = 2;
Rachel: x2 = (t - 3), y2 = 4
Solve.66 = -8x + 2
A. 76 B. -8 C. 72 D. 10