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4 years ago

Factor by grouping (write out all of the factoring) 3x^2+18x-6x-36

Mathematics

1 answer:

abruzzese [7]4 years ago

6 0

Answer:

3(x + 6)(x - 2)

Step-by-step explanation:

Given

3x² + 18x - 6x - 36 ← factor out 3 from each term

= 3(x² + 6x - 2x - 12) ( factor the first/second and third/fourth terms )

= 3(x(x + 6) - 2(x + 6)) ← factor out (x + 6) from each term

= 3(x + 6)(x - 2)

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What’s the answer for 3(4w +5)

boyakko [2]

Answer:

12w+15

Step-by-step explanation:

Distribute 3 to whats inside of parentheses

3*4w=12w

3*5=15

12w+15

7 0

3 years ago

Read 2 more answers

Find the difference between (x + 5) and (2x + 3) *

igomit [66]

The difference between (x + 5) and (2x + 3) is -x + 2

<h3>what's difference :</h3>

Difference is the result of subtracting one number from another. Therefore,

the difference between (x + 5) and (2x + 3) can be calculated below:

(x + 5) - (2x + 3)

Open the bracket with the minus sign

Therefore,

x + 5 - 2x - 3

combine like terms

x - 2x + 5 - 3

-x + 2

Therefore, the difference between (x + 5) and (2x + 3) is -x + 2

learn more on difference here:brainly.com/question/2636246?referrer=searchResults

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3 years ago

Read 2 more answers

While catching fi refl ies, you and a friend decide to have a competition. After m minutes, you have (3m + 13) fi refl ies and y

Lostsunrise [7]

A. (3m + 13) + (4m + 6)

B. you: (3*5 + 13) = 28

friend: (4*5 + 6) = 26

You have more fireflies

3 0

3 years ago

A binder normally costs $8.99. use this information to answer the questions below

Serjik [45]

Answer:

You are asking a question that cannot be solved by anyone outside of your school.

Step-by-step explanation:

What information is below?

8 0

3 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago