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Ber [7]
3 years ago
9

Which of the following represents the factorization of the trinomial below?

Mathematics
2 answers:
statuscvo [17]3 years ago
7 0
X² - 24x + 144

What are two numbers that multiply to 144 but add up to -24?

The answer is -12

Write out the factorization.

(x - 12)(x - 12) = x² - 24x + 144

Solution: C) (x - 12)²
Fofino [41]3 years ago
6 0
First you have to find the factors that 24 and 144 have in common. The factors must equal to 24 and also multiply to 144. The factor they have in common is 12. 12+12=24 and 12 * 12 =144.

Next, just substitute the numbers in the equation and you get.

 (x-12)(x-12)

Simplify.

C. (x-12)^2

If you did distributive property, you would get the original equation.
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Answer:

David find <u>8</u> quarters.

Step-by-step explanation:

Given:

David was in need for some money so he decided to clean out the water fountain at the mall he found 20 nickels and quarters.

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Now, to find the quarters David find.

Let the number of nickels be x

And the number of quarters be y

Thus, the number of nickels and quarters he found:

x+y=20.

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The totaled of nickels and quarters:

0.05x+0.25y=2.6

(As 1 nickel=$0.05 and 1 quarter=$0.25)

Now, putting the equation ( 1 ) in the place of x we get:

0.05(20-y)+0.25y=2.6

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⇒ 1+0.20y=2.6

<em>Subtracting both sides by 1 we get:</em>

⇒ 0.20y=1.6

<em>Dividing both sides by 0.20 we get:</em>

⇒ y = 8.

So, the quarters = 8.

Therefore, David find 8 quarters.

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