Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

tves.org bookmarks
Clever | Portal
Clever | Portal
NEW MathXL Link
ALGEBRA 2 HONORS-1200340/006
HW Lesson 5-4
Solve the equation with rational exponents.

(x^(2)-x-51)^(3//4)-4=23
Select the correct choice below and, if necessary, fill in the answer box
A. The solution set is
◻
(Simplify your answer. Use a comma to separate answers as ne
B. The solution set is the empty set.

tves.org bookmarks $\newline$ Clever | Portal $\newline$ Clever | Portal $\newline$ NEW MathXL Link $\newline$ ALGEBRA $2$ HONORS $-1200340$ / $006$ $\newline$ HW Lesson $5$ $-4$ $\newline$ Solve the equation with rational exponents. $\newline$ $\left(x^{2}-x-51\right)^{3 / 4}-4=23$ $\newline$ Select the correct choice below and, if necessary, fill in the answer box $\newline$ A. The solution set is $\square$ $\newline$ (Simplify your answer. Use a comma to separate answers as ne $\newline$ B. The solution set is the empty set.

View step-by-step help

View step-by-step help

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

Full solution

Q. tves.org bookmarks

\newline

Clever | Portal

\newline

Clever | Portal

\newline

NEW MathXL Link

\newline

ALGEBRA

2

HONORS

-1200340

/

006

\newline

HW Lesson

5

-4

\newline

Solve the equation with rational exponents.

\newline

\left(x^{2}-x-51\right)^{3 / 4}-4=23

\newline

Select the correct choice below and, if necessary, fill in the answer box

\newline

A. The solution set is

\square

\newline

(Simplify your answer. Use a comma to separate answers as ne

\newline

B. The solution set is the empty set.

Raise to Power of $4$ / $3$ : Now, raise both sides of the equation to the power of $4/3$ to get rid of the exponent on the left side. $((x^{2}-x-51)^{3/4})^{4/3} = 27^{4/3}$ $x^2 - x - 51 = 27^{4/3}$
Calculate $27^{\frac{4}{3}}$ : Calculate $27^{\frac{4}{3}}$ . Since $27$ is $3^3$ , this simplifies to $(3^3)^{\frac{4}{3}}$ . $\newline$ $27^{\frac{4}{3}} = (3^3)^{\frac{4}{3}} = 3^{3*\frac{4}{3}} = 3^4$ $\newline$ $27^{\frac{4}{3}} = 81$
Substitute $81$ : Substitute $81$ back into the equation. $x^2 - x - 51 = 81$
Solve for x: Now, let's solve for x by moving $81$ to the left side of the equation. $\newline$ $x^2 - x - 51 - 81 = 0$ $\newline$ $x^2 - x - 132 = 0$
Factor the Quadratic: Factor the quadratic equation. $\newline$ $(x - 12)(x + 11) = 0$
Set Equal and Solve: Set each factor equal to zero and solve for $x$ . $x - 12 = 0$ or $x + 11 = 0$ $x = 12$ or $x = -11$

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