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olga_2 [115]
3 years ago
14

Select the correct answer. Rewrite the following equation as a function of x.

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Option B:

${f(x)}=9280-20x

Solution:

$\frac{1}{16} x+\frac{1}{320} y-29=0

$\frac{1}{16} x+\frac{1}{320} y-\frac{29}{1} =0

Take LCM of the denominators and Make the denominators same.

LCM of 16, 320, 1 = 320

$\frac{1\times20}{16\times20} x+\frac{1}{320} y-\frac{29\times 320}{1\times 320} =0

$\frac{20}{320} x+\frac{1}{320} y-\frac{9280}{320} =0

All the denominators are same, so you can write in one fraction.

$\frac{20x+y-9280}{320}=0

Do cross multiplication.

${20x+y-9280}=0\times 320

${20x+y-9280}=0

Add 9280 on both sides of the equation.

${20x+y}=9280

Subtract 20x on both sides of the equation.

${y}=9280-20x

Let y = f(x).

${f(x)}=9280-20x

Hence Option B is the correct answer.

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EXPLANATION

The given

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The hypotheses are

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