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 Function z = 3x + 5yConstraints x ? 0 y ? 0 2x + y ? 15 x - 3y ? -3
A. Maximum 75; at (0, 15)
B. Maximum 38; at (6, 4)
C. Maximum 33; at (6, 3)
D. Maximum 22.5; at (7.5, 0)
Answer: C
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Estimate the value of the quantity.Joe wants to find out how far it is across the lake. His boat has a speedometer but no odometer. The table shows the boats velocity at 10 second intervals. Estimate the distance across the lake using right-end point values.
A. 3470 ft B. 3370 ft C. 337 ft D. 5000 ft
Provide an appropriate response.Determine the general term of the sequence 5, 20, 80, 320, . . . .
A. an = 4(5)n - 1 B. an = 5(4)n C. an = 4(5)n D. an = 5(4)n - 1
Solve the inequality and express the solution set using interval notation.
A. 
B. 
C. 
D. 
E. 
Solve by factoring and using the principle of zero products.25y2 + 35y + 12 = 0
A. - 
, - 
B. - 
, - 
C. 
, 
D. 
, - 