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Vsevolod [243]
3 years 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:
Elena-2011 [213]3 years ago
8 0

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

Step-by-step explanation:

The function is represented by

9x + 3y= 12

This is a linear equation with x as the independent variable. This means that if x is the independent variable, the y is the dependent variable. The values of y depends on the values of x. In order to represent the function, 9x + 3y= 12, we would rearrange the function such that y stands alone on the left hand side of the equation. This becomes

9x + 3y= 12

Subtracting 9x from both sides,

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

3y = 12-9x

Dividing the lefthand side and right hand side of the equation by 3, it becomes

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

y= -3x + 4

using function notation,

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

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They are the same measurements, because:

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then vertical angle again,

and another alternate interior angle.

For each vertical and alternate interior angles, the measurements stay the same.


Set them equal to each other, isolate and solve for x.

10x + 5 = 11x - 1

First, isolate the x. Subtract 10x from both sides, and add 1 to both sides

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