Use Lagrange multipliers to minimize the function  subject to the following two constraints.

?

 



?

Assume that x, y, and z are nonnegative.

?



A. 147

B. 98

C. 441

D. 294

E. 49


Answer: B

Mathematics

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Use a truth table to determine whether the two statements are equivalent.~p ? ~q and ~(p ? q)

A. Yes B. No

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Graph the function.f(x) = 

A.

B.

C.

D.

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Solve the equation by completing the square.x2 + 8x - 3 = 0

A. {-4 - 1, -4 + 1}
B. {-1 - , -1 + }
C. {4 + }
D. {-4 - , -4 + }

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Solve the problem.How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 10 forwards, 6 midfield players, and 10 defensive players?

A. 186,624,000 B. 5,311,735 C. 255 D. 216,000

Mathematics