State the dual problem. Use y1, y2,  y3 and y4 as the variables. Given: y1 ? 0, y2 ? 0,  y3 ? 0, and y4Minimizew = 6x1 + 3x2subject to:3x1 + 2x2 ? 21 2x1 + 5x2 ? 44 x1 ? 0, x2 ? 0

A.

Maximizez = 21y1 + 44y2
subject to:3y1 + 2y2 ? 6
 2y1 + 5y2 ? 3
B.
Maximizez = 21y1 + 44y2
subject to:3y1 + 2y2 ? 6
 2y1 + 5y2? 3
C.
Maximizez = 44y1 + 21y2
subject to:2y1 + 3y2 ? 6
 5y1 + 2y2 ? 3
D.
Maximizez = 44y1 + 21y2
subject to:2y1 + 3y2 ? 6
 5y1 + 2y2 ? 3

Answer: A

Mathematics

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Provide the requested response.Suppose that a polynomial function of degree 6 with rational coefficients has as zeros. Find the other zeros.

A. -2i, -4 - 4i , 4 + 
B. 4 - 4i , -4 + 
C. -4 - 4i , 4 + 
D. -2i, 4 - 4i , -4 + 

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Solve the problem.Rachel's bus leaves at 6:45 PM and accelerates at the rate of 4 meters per second per second. Rachel, who can run 7 meters per second, arrives at the bus station 2 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time. Determine algebraically whether Rachel will catch the bus. If so, when?

A. Bus: x1 = 2t2, y1 = 1; Rachel: x2 = 7(t - 2), y2 = 3
Rachel won't catch the bus.
B. Bus: x1 = 2t2, y1 = 1; Rachel: x2 = 7(t + 2), y2 = 3
Rachel won't catch the bus.
C. Bus: x1 = 4t2, y1 = 1; Rachel: x2 = (t - 2), y2 = 3
Rachel will catch the bus at 6:49 PM
D. Bus: x1 = 2t2, y1 = 1; Rachel: x2 = 7(t - 2), y2 = 3
Rachel will catch the bus at 6:50 PM

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Function  is .

?
Find .
?

A. 126
B. 3
C. 117
D. 99
E. 108

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Write the improper fraction as a mixed or whole number.

A. 2
B. 3
C. 2
D. 1

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Mathematics