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Allisa [31]
3 years ago
14

Explain why the following statements are equivalent: x + (y + 9) = (x + y) + 9

Mathematics
2 answers:
Aleks [24]3 years ago
8 0

Answer:get into it

Step-by-Stefan:

Alona [7]3 years ago
5 0

Answer:

There are no like terms hence they stay the same

Step-by-step explanation:

x + (y + 9)

There are no like terms

=x+y+9

(x + y) + 9

There are no like terms

=x+y+9

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REALLY NEED HELP FOR THIS ALGEBRA 2 QUESTION THANK YOU IN ADVANCE
guajiro [1.7K]

Lets make an equation for the line first. The slope is 3 and the y intercept is -1, so we can make the equation y = 3x - 1. Then, to figure out what sign to use (<= or >= due to solid line in graph), we replace the = sign with one and see if a coordinate in the shaded area will furfill the inequality. If it doesn't, we know it needs the other inequality sign. If it does, we have found the correct inequality. So let's try y <= 3x - 1 with the coordinate (1,1). We try it, solve, and get 1 <= 2. So, the inequality for this graph is y <= 3x - 1.

6 0
3 years ago
The point (0, 0) is a solution to which of these inequalities? A. y – 4 &lt; 3x – 1 B. y – 1 &lt; 3x – 4 C. y + 4 &lt; 3x – 1 D.
miskamm [114]

Answer:

A

Step-by-step explanation:

Replace the point (0,0) in each inequality

A. y - 4 < 3x - 1

B. y - 1 < 3x - 4

C. y + 4 < 3x - 1

D. y + 4 < 3x + 1

A. 0 - 4 < 3(0) - 1

- 4 < - 1

True

B. 0 - 1 < 3(0) - 4

- 1 < - 4

False

C. y + 4 < 3x - 1

0 + 4 < 3(0) - 1

4 < - 1

False

D. y + 4 < 3x + 1

0 + 4 < 3(0) + 1

4 < 1

False

5 0
4 years ago
A person walks 1/4 mile in 1/8 hour what is there miles per hour
hammer [34]
1/4 miles in 1/8 hour
?mile in 1 hour
Step 1:
Cross Multiply
1×1/4=1/4
Step 2:
1/4÷1/8=2 miles. As a result,a person walks 2 miles in 1 hour. Hope it help!
5 0
4 years ago
In the library at lenape elmentary school, there are 3/8 as, many fiction books as there are nonfiction books. There are 44 book
N76 [4]

Answer:

12 fiction books.

Step-by-step explanation:

Let b represent number of non-fiction books.

We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be \frac{3}{8}x.

We are also told that there are 44 books in school library. We can represent this information in an equation as:

x+\frac{3}{8}x=44

Let us solve for x.

\frac{8x}{8}+\frac{3}{8}x=44

\frac{8x+3x}{8}=44

\frac{11x}{8}=44

\frac{11x}{8}\cdot \frac{8}{11}=44\cdot\frac{8}{11}

x=4\cdot 8

x=32

Therefore, there are 32 non fiction books in the library.

Number of fiction books would be \frac{3}{8}x\Rightarrow \frac{3}{8}*32=3*4=12

Therefore, there are 12 fiction books in the library.

5 0
3 years ago
What is the value of arctan 0.866?​
vodka [1.7K]

Answer: 0.713709862 rad

Step-by-step explanation:

4 0
3 years ago
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