Use the properties of real numbers to simplify the expression.
(-12y - 12x + 20z)
A. -15y - 15x - 25z
B. -15y - 15x + 25z
C. -15y + 15x - 25z
D. -15y + 15x + 25z
Answer: B
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Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.(-2x2y)4
A. 16x8y4 B. -8x2y4 C. 16x6y4 D. -8x2y
Sketch the graph of the function.y = - 2 cos 2x
A.
B.
C.
D.
Completely factor the polynomial or state that the polynomial is prime.50x2 - 160x + 128
A. prime B. 2(5x + 8)2 C. 2(5x - 8)2 D. 2(5x - 8)(5x + 8)
An open rectangular box having a volume of 62.5in3 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal.
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Hint: Let the dimensions of the box be x by y by z. Then, xyz = 108 and the amount of material used is given by S = xy + 2yz + 2xz. Show that
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Minimize f(x, y)
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x = __________
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y = __________
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z = __________
What will be an ideal response?