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Softa [21]
4 years ago
13

Use the difference of squares identity to write this polynomial expression in factored form: 9x2 − 49.

Mathematics
2 answers:
qwelly [4]4 years ago
7 0
9x^2-49
It equals:
<span>(<span><span>3x</span>+7</span>)</span><span>(<span><span>3x</span>−7</span><span>)
Hope this helps!
</span></span>
Kisachek [45]4 years ago
5 0

Answer:

(3x+7)(3x-7)

Step-by-step explanation:

Use the difference of squares identity to write this polynomial expression in factored form:  9x^2-49

Difference of square formula is

a^2-b^2=(a+b)(a-b)

9 can be written as 3^2

49 can be written as 7^2

9x^2-49

(3x)^2-7^2

The value of 'a' is 3x  and b is 7

a^2-b^2=(a+b)(a-b)

(3x)^2-7^2=(3x+7)(3x-7)

(3x+7)(3x-7)

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Find the slope from the given equation. 9y = -3x + 5
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Answer:

-3/9x

Step-by-step explanation:

You rearrange for 'y' so divide both sides by it's coefficient which is 9.

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3 years ago
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Mr. Layte needs a mortgage to buy his first house. Which describes how this will affect Mr. Layte's financial situation?
Norma-Jean [14]

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Answer:

  A, D

Step-by-step explanation:

Assuming that Mr. Layte must pay for his mortgage from his (otherwise) disposable income, that disposable income will decrease. As in choice A, there will likely be additional ownership expenses besides the mortgage. Under our assumption, Mr. Layte's disposable income does not remain the same or increase.

The appropriate choices are A and D: the amount of money he has to spend on things will decrease ...

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3 years ago
At East Middle School, there are 585858 left-handed students and 609609609 right-handed students. The numbers of left- and right
lisabon 2012 [21]

Answer: C. Left-handed: 48 Right-handed: 504

E. Left-handed: 30 Right-handed: 315

Step-by-step explanation:

Here is the completed question:

At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School. Which of the following could be the numbers of left-handed and right-handed students at West Junior High?

A. Left-handed: 42 Right-handed: 483

B. Left-handed: 28 Right-handed: 378

C. Left-handed: 48 Right-handed: 504

D. Left-handed: 56 Right-handed: 560

E. Left-handed: 30 Right-handed: 315

Since it's direct proportion, we have to calculate the constant of proportionality which will simply be:

= 609 / 58 = 10.5

A. Left-handed: 42 Right-handed: 483

Constant = 483/42 = 11.5

Incorrect

B. Left-handed: 28 Right-handed: 378

Constant = 378/28 = 13.5

Incorrect

C. Left-handed: 48 Right-handed: 504

Constant = 504/48 = 10.5

Correct

D. Left-handed: 56 Right-handed: 560

Constant = 560/56 = 10

Incorrect

E. Left-handed: 30 Right-handed: 315

Constant = 315/30 = 10.5

Correct

Therefore, the correct options are C and E.

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3 years ago
Brandon has a playlist with 83 hip-hop and pop songs. There are 15 more hip-hop songs than pop songs. How many pop songs are on
kogti [31]

Using a system of equations, it is found that there are 34 pop songs are on the playlist.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of hip-hop songs.
  • Variable y: Number of pop songs.

Brandon has a playlist with 83 hip-hop and pop songs, hence:

x + y = 83.

There are 15 more hip-hop songs than pop songs, hence:

x = 15 + y.

Replacing the second onto the first equation:

x + y = 83.

15 + y + y = 83.

2y = 68.

y = 34.

There are 34 pop songs are on the playlist.

More can be learned about a system of equations at brainly.com/question/24342899

6 0
2 years ago
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