Find two functions defined implicitly by the given relation.x2 - y2 = 16

A. y = x -  or y = x + 
B. y =  or y = 
C. y = +  or y = - 
D. y = + (x - ) or y = - (x - )


Answer: C

Mathematics

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A. 1 
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C. 1
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A.

B.

C.

D.

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Factor out the greatest common factor.4x12 - 8x9 + 12x6 - 16x3

A. 4x3(x4 - 2x3 + 3x2 - 4) B. x3(x9 - 2x6 + 3x3 - 4) C. 4(x9 - 2x6 + 3x3 - 4) D. 4x3(x9 - 2x6 + 3x3 - 4)

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An open box of maximum volume is to be made from a square piece of material 20 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). Write the volume V as a function of x, the length of the corner squares. ?     ? ?

A.
B.
C.
D.
E.

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