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 38; at (6, 4)
B. maximum 75; at (0, 15)
C. maximum 33; at (6, 3)
D. maximum 22.5; at (7.5, 0)

Answer: C

Mathematics

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Find, if possible, the (global) maximum and minimum values of the given function on the indicated interval.H(x) = 6 - 7x2  on [-2, 3]

A. Maximum value H(0) = 12; minimum value H(3) = -22 B. Maximum value H(0) = 42; minimum value H(-2) = -22 C. Maximum value H(0) = 6; minimum value H(3) = -57 D. Maximum value H(0) = 7; minimum value H(3) = -69

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Solve the problem.The position of a particle moving along a coordinate line is s =  with s in meters and t in seconds. Find the particle's acceleration at 

A.  m/sec2
B.  m/sec2
C. -  m/sec2
D. -  m/sec2

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Find all real solutions to the equation.(x - 2)-1/2 = 

A. {6}
B. {2}
C.
D.

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In electrical circuits, the impedance Z (or opposition to the flow of electricity), voltage V, and current I can all be represented by complex numbers. They are related by the equation Z = . Use this equation to find the value of the missing variable.V = 76 - 32i, I = 8 + 4i

A. Z =  - 17i
B. Z = 6 - 7i
C. Z = 6 + 7i
D. Z =  + 17i

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Mathematics