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Rewrite the following equation as a function of x;4๐‘ฅโˆ’8๐‘ฆ+15=0Group of answer choices๐‘“(๐‘ฅ)=(8๐‘ฆโˆ’15)4๐‘“(๐‘ฅ)=4๐‘ฅ8โˆ’15๐‘“(๐‘ฅ)=(4๐‘ฅ+15)8๐‘“(๐‘ฅ)=(4๐‘ฅ+15)โˆ’8๐‘“(๐‘ฅ)=โˆ’4๐‘ฅ+158

Question

Rewrite the following equation as a function of x;

4x - 8y + 15 = 0

Group of answer choices
f(x) = \frac{8y - 15}{4}
f(x) = \frac{4x}{8} - 15
f(x) = \frac{(4x + 15)}{8}
f(x) = (4x + 15) - 8
f(x) = -\frac{4x + 15}{8}

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Solution

To rewrite the equation 4x - 8y + 15 = 0 as a function of x, we first need to isolate y. Here are the steps:

  1. Start with the original equation: 4x - 8y + 15 = 0
  2. Subtract 4x and 15 from both sides to get: -8y = -4x - 15
  3. Divide every term by -8 to solve for y: y = 0.5x + 1.875

So, the function of x, f(x), is f(x) = 0.5x + 1.875.

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