Find the minimum value of the objective function and where it occurs, subject to the indicated constraints.
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Objective function:
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z = 10x + 4y
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Constraints:
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0 ? x ? 60
0 ? y ? 45
5x + 6y ? 420
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A. Minimum at (0, 0): 0
B. Minimum at (60, 20): 680
C. Minimum at (0, 45): 180
D. Minimum at (60, 0): 600
E. Minimum at (30, 45): 480
Answer: A
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Represent the angle algebraically.If an angle measure is x°, represent 9 times its complement algebraically.
A. 9(180 - x) B. 9(180 + x) C. 9(90 - x) D. 9x
Solve and check.
= 6
A. 
B. 
C. 6
D. 36
Find the vertex of the parabola.
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Please enter your answer as an ordered pair.
What will be an ideal response?
Non-zero vectors v and w are given. Determine the vector decomposition of v into orthogonal components v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = -3i + 5j; w = 3i + j
A. v1 = - 
i - 
j, v2 = - 
i + 
j
B. v1 = - 
i - 
j, v2 = - 
i + 
j
C. v1 = - 
i - 
j, v2 = - 
i + 
j
D. v1 = - 
i - 
j, v2 = 
i + 
j