QuestionRewrite the equation $9 x + 3 y = 12$ in function notation with $x$ as the independent variable.

Studdy Solution

STEP 1

Assumptions1. The given function is $9x +3y =12$ . $x$ is the independent variable3. We want to express the function in terms of $x$ , i.e., $y = f(x)$

STEP 2

First, we need to isolate $y$ on one side of the equation. We can do this by subtracting $9x$ from both sides of the equation.
$y =12 -9x$

STEP 3

Next, we divide both sides of the equation by $3$ to solve for $y$ .
$y = \frac{12 -9x}{3}$

STEP 4

implify the right side of the equation by dividing each term by $3$ .
$y =4 -3x$

STEP 5

Now that we have $y$ in terms of $x$ , we can write this using function notation. In function notation, $y$ is replaced by $f(x)$ .
$f(x) =4 -3x$ So, the function $9x +3y =12$ can be written as $f(x) =4 -3x$ in function notation.

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QuestionRewrite the equation $9 x + 3 y = 12$ in function notation with $x$ as the independent variable.

Studdy Solution

STEP 1

Assumptions1. The given function is $9x +3y =12$ . $x$ is the independent variable3. We want to express the function in terms of $x$ , i.e., $y = f(x)$

STEP 2

First, we need to isolate $y$ on one side of the equation. We can do this by subtracting $9x$ from both sides of the equation.
$y =12 -9x$

STEP 3

Next, we divide both sides of the equation by $3$ to solve for $y$ .
$y = \frac{12 -9x}{3}$

STEP 4

implify the right side of the equation by dividing each term by $3$ .
$y =4 -3x$

STEP 5

Now that we have $y$ in terms of $x$ , we can write this using function notation. In function notation, $y$ is replaced by $f(x)$ .
$f(x) =4 -3x$ So, the function $9x +3y =12$ can be written as $f(x) =4 -3x$ in function notation.

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QuestionRewrite the equation 9x+3y=129 x + 3 y = 129x+3y=12 in function notation with xxx as the independent variable.

Studdy Solution

STEP 1

Assumptions1. The given function is 9x+3y=129x +3y =129x+3y=12 . xxx is the independent variable3. We want to express the function in terms of xxx, i.e., y=f(x)y = f(x)y=f(x)

STEP 2

First, we need to isolate yyy on one side of the equation. We can do this by subtracting 9x9x9x from both sides of the equation.y=12−9xy =12 -9xy=12−9x

STEP 3

Next, we divide both sides of the equation by 333 to solve for yyy.y=12−9x3y = \frac{12 -9x}{3}y=312−9x​

STEP 4

implify the right side of the equation by dividing each term by 333.y=4−3xy =4 -3xy=4−3x

STEP 5

Now that we have yyy in terms of xxx, we can write this using function notation. In function notation, yyy is replaced by f(x)f(x)f(x).f(x)=4−3xf(x) =4 -3xf(x)=4−3xSo, the function 9x+3y=129x +3y =129x+3y=12 can be written as f(x)=4−3xf(x) =4 -3xf(x)=4−3x in function notation.

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QuestionRewrite the equation $9 x + 3 y = 12$ in function notation with $x$ as the independent variable.

Assumptions1. The given function is $9x +3y =12$ . $x$ is the independent variable3. We want to express the function in terms of $x$ , i.e., $y = f(x)$

First, we need to isolate $y$ on one side of the equation. We can do this by subtracting $9x$ from both sides of the equation.
$y =12 -9x$

Next, we divide both sides of the equation by $3$ to solve for $y$ .
$y = \frac{12 -9x}{3}$

implify the right side of the equation by dividing each term by $3$ .
$y =4 -3x$

Now that we have $y$ in terms of $x$ , we can write this using function notation. In function notation, $y$ is replaced by $f(x)$ .
$f(x) =4 -3x$ So, the function $9x +3y =12$ can be written as $f(x) =4 -3x$ in function notation.