Mathematics: The function f is defined by f(x)=200÷x−b, where b is a constant. find b, if the value of f at x= 1 3 is equal to 150.

The function f is defined by f(x)=200÷x−b, where

poptropic9207

07.01.2022

ANSWER

$b =11 \frac{2}{3}$

EXPLANATION

The given function is

$f(x) = \frac{200}{x - b}$

It was given that

f(13) = 150

This implies that,

$150 = \frac{200}{13- b}$

Cross multiply to get:

150(13 - b) = 200

1950 - 150b = 200

- 150b = 200 - 1950

- 150b = - 1750

Divide both sides by -150.

$b = \frac{ - 1750}{ - 150}$

$b = \frac{ 35}{3}$

$b =11 \frac{2}{3}$

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aisatubrodie4626

11.11.2022

yea sure

Step-by-step explanation:

hows ur day/night going?

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