Use duality to solve the problem.Minimizew = y1 + 4y2subject to:4y1 + 3y2 ? 75 3y1 + 5y2 ? 93 y1 ? 0, y2 ? 0
A. 31
B. 50.6
C. 62
D. 100
Answer: A
Mathematics
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Find numbers a and b, or k, so that f is continuous at every point.
A. a = 2, b = -3 B. a = -2, b = 3 C. a = 2, b = 3 D. Impossible
Mathematics
Solve.x2 = 24
A. ±6
B. ±2
C. 576
D. ±12
Mathematics
Solve by completing the square.x2 + 4x = 3
A. -1 ± 
B. -2 ± 
C. 2 + 
D. -2 ± 2
Mathematics
Determine the vertex, focus, and directrix of the parabola and sketch its graph.y2 = 12x
A. vertex: (0, 0)
focus: (-3, 0)
directrix: x = 3
B. vertex: (0, 0)
focus: (0, 3)
directrix: y = -3
C. vertex: (0, 0)
focus: (0, 3)
directrix: y = -3
D. vertex: (0, 0)
focus: (3, 0)
directrix: x = -3
Mathematics