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jeka57 [31]
3 years ago
5

How to factor 6n2 - 6n - 12

Mathematics
1 answer:
alexandr402 [8]3 years ago
7 0

We see that in these 3 terms, 6 is a common factor. So, let's factor out a 6:

6n^2-6n-12 = 6(n^2-n-2)

We can set this equal to 0 and factor by using the quadratic formula which is:

x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

So, let's do just that:

6(n^2-n-2) = 0

Note that the 6 goes away if you divide both sides by 6. In this case, a = 1, b = -1, and c = -2. Let's plug that into the quadratic equation:

\frac{1 \pm \sqrt{(-1)^2-4(1)(-2)} }{2(1)} = \frac{-1 \pm \sqrt{1-(-8)} }{2}

\frac{-1 \pm \sqrt{9} }{2} = {1, -2}

So, we can write this as:

6n^2 - 6n - 12 = 6(n-1)(n+2)

Notice that the 6 comes back because it was only temporarily mad. And that the roots have opposite signs in the parentheses because to find the roots, you need to set each parentheses equal to 0 and solve for n. With that in mind, your final answer is 6(n-1)(n+2). Hope I could help you!

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Use the equation 135 x 42 = 5.670 and what you know about fractions, decimals, and place value to explain how to place the decim
ozzi

Answer:

5.670

Step-by-step explanation:

To compute 1.35 x 4.2

First, we need to convert both decimals to fraction

1.35 = 135/100

4.2 = 42/10

Taking the product

1.35 x 4.2

= 135/100 * 42/10

= (135*42)/(100*10)

= 5670/1000

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Hence the product of both numbers is 5.670

8 0
3 years ago
All the cubes below have a different image on each side.
-BARSIC- [3]

Answer:

  • <u>Figure G</u>

Explanation:

The figure labeled A cannot be because the cross and the line are not oriented in  the same relative position as in X.

The figure labeled B cannot be because the line and the the image with the three lines are not oriented in the same relative position as in X.

You cannot tell about the figures labeled C because you do not see the images of the cross and the line.

The figure labeled E cannot be because the image with the three lines is not oriented in the same relative positiion with respect to the other two as in X.

You cannot tell about the figure labeled F because the image of the cross and with the three lines are not shown.

The figure labeled G is correct: you can just rotate the cube labeled X 90 degrees counterclockwise about a vertical axis that passes through the center of the cube and get the cube labeled G.

3 0
3 years ago
Help?! Anyone! <br> Will make brainliest <br> Picture attached
e-lub [12.9K]

Answer:

3

Step-by-step explanation:

4.5/3x2=3

or for conforming

7.5/5x2

sry if wrong

8 0
3 years ago
Can someone help me answer this, thanks
Ivahew [28]

Answer:

<em></em>Height = 173.8ft<em></em>

<em></em>

Step-by-step explanation:

Given

\theta = 40^o

d = 200ft --- distance from building

h=6ft--- height of the building

Let the height of the building be H. So:

\tan(\theta) = \frac{Opposite}{Adjacent}

\tan(40) = \frac{H}{200}

Make H the subject

H = 200 * \tan(40)

H = 167.82

The required height s:

Height = H + h

Height = 167.82 + 6

Height = 173.82ft

<em></em>Height = 173.8ft<em> --- approximately</em>

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3 years ago
Please explain how you got this answer
Alenkinab [10]
It gives 3 choices of toppings, and asks for the number of ways to arrange two toppings. Using the formula they give, n = 3 and k =2. So: \frac{3!}{2!(3-2)!}
Thus, the answer is 3.

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3 years ago
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