Find the reciprocal.
--64.0 = -8.0x
A) x = -56
B) x = 8
C) x = 56
D) x = 2

Question

Quizplus · Accepted Answer

To find the reciprocal, we need to divide 1 by -8.0x. Simplifying, we get -1/(8x). Plugging in -64.0 for -8.0x, we get -1/(-64) = 1/64. Therefore, x = 1/(64*(-8)) or x = 1/-512 or x = -0.001953125. The closest answer choice is B) x = 8, which is the reciprocal of 1/8. To find the reciprocal, divide 1 by -8.0x:

1/(-8.0x) = -1/(8.0x)

If we divide -64.0 by -8.0, we get x = 8. Therefore, the reciprocal is

-1/(8.0x) = -1/(8.0(8)) = -1/64

So x = 8 and the reciprocal is -1/64, which corresponds to choice B.

Find the Reciprocal. --64.0 = -8.0x