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WARRIOR
6 days ago
6

Consider the function represented by 9x + 3y= 12 with x as the independent variable. How can this function be written

Mathematics
1 answer:
PIT_PIT [9.1K]6 days ago
8 0

Answer: f(x) = -3x + 4

Step-by-step explanation:

The equation is given as

9x + 3y= 12

This represents a linear equation where x is considered the independent variable. This implies that y is dependent on the value of x, meaning that the y values fluctuate according to the x values. To express the function 9x + 3y= 12, we must rearrange it so that y is isolated on one side of the equation. This leads to

9x + 3y= 12

Beginning by subtracting 9x from both sides,[ [TAG_16]]

9x - 9x + 3y = 12 - 9x

3y = 12 - 9x

Next, dividing both sides of the equation by 3 results in

3y/3 = (12 - 9x)/3

y = -3x + 4

in function notation,

y = f(x) = -3x + 4

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