aharon6079 aharon6079
  • 25-01-2021
  • Mathematics
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The function f is defined by f(x )=150÷x −z , where z is constant.Find z if the value of f at x = 1 5 is equal to 250.

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abidemiokin
abidemiokin abidemiokin
  • 26-01-2021

Answer:

-150

Step-by-step explanation:

The function f is defined by f(x )=150÷x −z , where z is constant. Find z if the value of f at x = 1 5 is equal to 250.

Given the function;

f(x )=150÷x −z

This can also be written as;

f(x )=150/x −z

If f(1.5) = 250, hence;

at x = 1.5, f(x) = 250

Substitute;

250 = 150/1.5 - z

250 = 100 - z

z = 100 - 250

z = -150

Hence the value of z is -150

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