Write the following sentence using mathematical symbols. Twice the difference of x and 7 is greater than the reciprocal of 10.

2(x-7) > 1/10

Step-by-step explanation:

The statement says, twice the difference of x and 7.  This implies that it wants the difference of x and 7, x - 7, and it wants twice that difference so:

2 ( x - 7 )

The statement continues that this twice the difference of x and 7 is greater than the reciprocal of 10.  The reciprocal of 10 is 0.1 or 1/10.

Hence, the statement should be written as such:

2 ( x - 7 ) > 1/10   OR    2 ( x - 7 ) > 0.1

Cheers.

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step-by-step explanation:

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f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50