Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The sum of two numbers is $255$ . When the smaller is subtracted from the larger, the result is $39$ . Find the numbers

View step-by-step help

View step-by-step help

Composition of linear functions: find a value

Full solution

Q. The sum of two numbers is

255

. When the smaller is subtracted from the larger, the result is

39

. Find the numbers

Assign Variables: Let's call the larger number $x$ and the smaller number $y$ . We have two equations: $x + y = 255$ $(1)$ $x - y = 39$ $(2)$
Eliminate y: Add equations ( $1$ ) and ( $2$ ) to eliminate y. $\newline$ $(1) + (2)$ gives us: $\newline$ $x + y + x - y = 255 + 39$ $\newline$ $2x = 294$
Find $x$ : Divide both sides by $2$ to find $x$ . $\frac{2x}{2} = \frac{294}{2}$ $x = 147$
Substitute $x$ to find $y$ : Now, substitute $x$ back into equation ( $1$ ) to find $y$ . $147 + y = 255$ $y = 255 - 147$ $y = 108$

More problems from Composition of linear functions: find a value

Question

Find the inverse of the function.

y = x + 3

Write your answer in the form

ax + b

. Simplify any fractions.

y =

Posted 2 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 1 month 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 1 month 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 1 month 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 2 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 1 month ago

Question

(f \circ g)(0)

\newline

f(x) = 6x

\newline

g(x) = x^2 + 4x

\newline

(f \circ g)(0) =

Posted 1 month 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 1 month 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 1 month 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 2 months ago