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 = 17x - 24yConstraints0 ? x ? 5 0 ? y ? 8 4x + 5y ? 30 4x + 3y ? 20
A. Maximum: 85; at (5, 0)
B. Maximum: -144; at (0, 6)
C. Maximum: -98.75; at (1.25, 5)
D. Maximum: 0; at (0, 0)
Answer: A
Mathematics
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Determine whether the given function is one-to-one. If it is one-to-one, find its inverse.f(x) = 7 - x
A. f-1(x) = 7 - x
B. f-1(x) = 
C. f-1(x) = x - 7
D. f-1(x) = x + 7
Mathematics
Provide an appropriate response.Find the exact area of the region bounded by y = x2 + 1, x = 1, x = 3, and the x-axis. Also sketch the region.
What will be an ideal response?
Mathematics
Solve the equation.-6x = 36
A. x = 1 B. x = -6 C. x = -42 D. x = 42
Mathematics