Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Put the following equation of a line into slope-intercept form, simplifying all fractions. 20 y-16 x=80 Answer:$

Put the following equation of a line into slope-intercept form, simplifying all fractions. $\newline$ $20 y-16 x=80$ $\newline$ Answer:

View step-by-step help

View step-by-step help

Find the inverse of a linear function

Full solution

Q. Put the following equation of a line into slope-intercept form, simplifying all fractions.

\newline

20 y-16 x=80

\newline

Answer:

Isolate y: First, we want to isolate $y$ on one side of the equation to get it into slope-intercept form, which is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. $\newline$ We start by adding $16x$ to both sides of the equation $20y - 16x = 80$ . $\newline$ $20y = 16x + 80$
Add $16x$ : Next, we divide every term by $20$ to solve for $y$ . $\newline$ $y = \frac{16x + 80}{20}$
Divide by $20$ : Now, we simplify the right side of the equation by dividing both terms by $20$ . $\newline$ $y = \frac{16}{20}x + \frac{80}{20}$
Simplify equation: We can reduce the fractions by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ for $\frac{16}{20}$ and $20$ for $\frac{80}{20}$ . $\newline$ $y = \left(\frac{4}{5}\right)x + 4$

More problems from Find the inverse of a linear function

Question

Find the inverse of the function.

y = x + 3

Write your answer in the form

ax + b

. Simplify any fractions.

y =

Posted 5 months ago

Question

(r \circ s)(x)

\newline

3

\newline

2

5

\newline

Write your answer as a polynomial in simplest form.

\newline

(r \circ s)(x) =

Posted 7 months ago

Question

(f + g)(x)

\newline

f(x) = -3x

\newline

g(x) = 3x + 1

\newline

\newline

Write your answer as a polynomial or a rational function in simplest form.

\newline

\underline{\hspace{3cm}}

\newline

Posted 7 months ago

Question

(f * g)(x)

\newline

f(x) = -x + 4

\newline

g(x) = 4x

\newline

\newline

Write your answer as a polynomial or a rational function in simplest form.

\newline

\underline{\hspace{3em}}

\newline

Posted 7 months ago

Question

What is the domain of

\left(\frac{f}{g}\right)(x)

\newline

f(x) = 2x

\newline

g(x) = -5x + 3

\newline

\newline

[\text{A]All real numbers}

\newline

[\text{B]All real numbers except } \frac{3}{5}

\newline

[\text{C]All real numbers except } -\frac{3}{5}

\newline

[\text{D]All real numbers except } \frac{5}{3}

Posted 9 months ago

Question

Find the inverse of the function.

\newline

-3x

\newline

Write your answer in the form

ax + b

. Simplify any fractions.

\newline

Posted 7 months ago

Question

(f \circ g)(0)

\newline

f(x) = 6x

\newline

g(x) = x^2 + 4x

\newline

(f \circ g)(0) =

Posted 7 months ago

Question

(f \circ g)(x)

\newline

f(x) = x^2 + 5

\newline

g(x) = 4x

\newline

Write your answer as a polynomial in simplest form.

\newline

(f \circ g)(x) =

Posted 7 months ago

Question

f(x)

the inverse function of

g(x)

\newline

f(x) = x

\newline

g(x) = -4x

\newline

\newline

\text{[yes]}

\newline

\text{[no]}

Posted 7 months ago

Question

(f * g)(x)

f(x) = 3x^2 + 9x

g(x) = 3x

Write your answer as a polynomial or a rational function in simplest form. ______

Posted 5 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant