The average of 8, 13, X, and Y is 6. The average of 15, 9, X, and X is 8. What is the value of Y?

3x3-27x=0<br> Solve by factoring a

Eddi Din [679]

After factoring $3x^3-27x=0$ the solutions are x=0 , x=3, x= -3

Step-by-step explanation:

We need to solve by factoring:

$3x^3-27x=0$

Solving:

$3x^3-27x=0$

Taking 3x common:

$3x(x^2-9)=0$

Now using formula $a^2-b^2=(a-b)(a+b)$

$3x((x)^2-(3)^2)=0\\3x(x-3)(x+3)=0$

$3x=0\,\,and\,\,x+3=0\,\,and\,\,x-3=0\\x=0\,\,and\,\,x=-3\,\,and\,\,x=3\\$

So, After factoring $3x^3-27x=0$ the solutions are x=0 , x=3, x= -3

Keywords: Factorization

Learn more about Factorization at:

#learnwithBrainly

5 0

3 years ago

An equilateral triangle has a height of 32. Find the length of the sides of the triangle. Round to the nearest hundredth.

telo118 [61]

Let each side=x
Use pythagorus
As height at mid of other side
Then: 32=sqrt(X^2-X^2/4)
Therefore X=36.950

5 0

2 years ago

Given two points M & N on the coordinate plane, find the slope of MN , and state the slope of the line perpendicular to MN .

telo118 [61]

Answer:

Problem 1) $m = \dfrac{1}{4}$ $slope_{perpendicular} = -4$

Problem 2) $m = \dfrac{1}{3}$ $slope_{perpendicular} = -3$

Step-by-step explanation:

$slope = m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$slope_{perpendicular} = \dfrac{-1}{m}$

Problem 1) M(9,6), N(1,4)

$slope = m = \dfrac{6 - 4}{9 - 1} = \dfrac{2}{8} = \dfrac{1}{4}$

$slope_{perpendicular} = \dfrac{-1}{\frac{1}{4}} = -4$

Problem 2) M(-2,2), N(4,-4)

$slope = m = \dfrac{4 - 2}{4 - (-2)} = \dfrac{2}{6} = \dfrac{1}{3}$

$slope_{perpendicular} = \dfrac{-1}{\frac{1}{3}} = -3$

4 0

3 years ago

0.4y − 0.2y + 10 = 11.8

mixer [17]

Answer:

0.2y+10

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and

serious [3.7K]

The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

$A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}$

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

$A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348$