Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to $-8.2-5$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $8.2-5$ $\newline$ (B) $-8.2+(-5)$ $\newline$ (C) $-8.2+5$ $\newline$ (D) $5-(-8.2)$

View step-by-step help

View step-by-step help

Composition of linear functions: find a value

Full solution

Q. Which expression is equivalent to

-8.2-5

?

\newline

Choose

1

answer:

\newline

(A)

8.2-5

\newline

(B)

-8.2+(-5)

\newline

(C)

-8.2+5

\newline

(D)

5-(-8.2)

Understand the expression: Understand the original expression. $\newline$ The original expression is $-8.2 - 5$ , which means we are subtracting $5$ from $-8.2$ .
Compare with option (A): Compare the original expression with option (A). Option (A) is $8.2 - 5$ , which is subtracting $5$ from $8.2$ , not $-8.2$ . This is not equivalent to the original expression.
Compare with option (B): Compare the original expression with option (B). Option (B) is $-8.2 + (-5)$ , which means adding $-5$ to $-8.2$ . Adding a negative number is the same as subtracting its positive counterpart, so this is equivalent to the original expression.
Compare with option (C): Compare the original expression with option (C). Option (C) is $-8.2 + 5$ , which means adding $5$ to $-8.2$ . This is not equivalent to the original expression because it involves addition of a positive number instead of subtraction.
Compare with option (D): Compare the original expression with option (D). $\newline$ Option (D) is $5 - (-8.2)$ , which means subtracting $-8.2$ from $5$ . This is the same as adding $8.2$ to $5$ , which is not equivalent to the original expression.

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