Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Given the function
f(x)=-8x+2, find the value of
f((1)/(2)) in simplest form.
Answer:

Given the function $f(x)=-8 x+2$ , find the value of $f\left(\frac{1}{2}\right)$ in simplest form. $\newline$ Answer:

View step-by-step help

View step-by-step help

Slope-intercept form: find the slope and y-intercept

Full solution

Q. Given the function

f(x)=-8 x+2

, find the value of

f\left(\frac{1}{2}\right)

in simplest form.

\newline

Answer:

Identify Function and Input: Identify the function and the input value. $\newline$ The function given is $f(x) = -8x + 2$ , and we need to find the value of $f\left(\frac{1}{2}\right)$ .
Substitute Input into Function: Substitute the input value into the function. $\newline$ $f\left(\frac{1}{2}\right) = -8 \times \frac{1}{2} + 2$
Perform Multiplication: Perform the multiplication. $\newline$ $-8 \times \frac{1}{2} = -\frac{8}{2} = -4$
Add Constant Term: Complete the calculation by adding the constant term. $f\left(\frac{1}{2}\right) = -4 + 2$
Simplify Expression: Simplify the expression to find the final value. $f\left(\frac{1}{2}\right) = -2$

More problems from Slope-intercept form: find the slope and y-intercept

Question

(0, 4)

satisfy the equation

y = x

?

\newline

Choices: [[yes]][[no]]

Posted 2 months ago

Question

Find the slope of the line

y = -4x + \frac{2}{5}

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 1 month ago

Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 1 month ago

Question

y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

\newline

Posted 1 month ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_\_\_\_

Posted 1 month ago

Question

Find the slope of the line

y + 3 = -\frac{1}{18}(x + 6)

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 1 month ago

Question

p

has an equation of

y = -8x + 6

q

, which is perpendicular to line

p

, includes the point

(2, -2)

. What is the equation of line

q

?

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

\newline

Posted 1 month ago

Question

Is the graph of this equation a horizontal or vertical line?

\newline

x = 7

\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

Posted 2 months ago

Question

Rewrite the following equation in standard form.

\newline

y = -10x + 7

\newline

Hint: The standard form of a linear equation is

\newline

Ax + By = C

A

B

are not both zero, and

A

B

C

are integers whose GCF is

1

Posted 2 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

\newline

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

\newline

y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})

Posted 1 month ago