How does one solve this?

I have no idea what im doing

omeli [17]

Answer:

x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

<u>Let's factorize the numerator and denominator:</u>

3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

<u>We have same factor of x + 6:</u>

x + 6 = 0
x = - 6 is a hole

8 0

2 years ago

Stan earns $12 per hour by working as an intern at a law firm. How much money does he earn in a week in which he works 28 hours?

torisob [31]

Answer:

D

Step-by-step explanation:

Stan works for 28 hours and gets paid $12 for each hour, so the amount of money he gets in total is $12*28 = $336.

8 0

2 years ago

Explain this diagram.

spayn [35]

The shape that we have here is sued to show the infinite geometric progression.

<h3>What is geometric progression?</h3>

This is the sequence of numbers that has all the other values in the sequence gotten by the multiplication of a certain factor

In this question or the shape we can see that the triangle is made up of smaller other triangles embedded in it.

The area of the traingle that is in the red color is seen to have been made up of 1/3 of the total triangles that we have in the shape. This can be seen to be similar as the triangles that are represented by the green and the blue color.

Putting a lot of triangles inside one big triangle gives up a pictorial diagram on how to add infinite amount of things up.

Read more on triangles here:

brainly.com/question/17335144

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6 0

1 year ago

Brainliest!!!

Cloud [144]

Answer:

3rd option

Step-by-step explanation:

We have two kind of necks and three different colours so the andswer would be 3rd option

Crew-neck :CB,CY,CG

V-neck : VB,VY,VG

7 0

3 years ago

Read 2 more answers

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

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7 0

1 year ago