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katovenus [111]
2 years ago
14

Which expressions are equivalent to (2^2-9) (x + 3)?

Mathematics
1 answer:
mestny [16]2 years ago
7 0

Answer:

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

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

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

Step-by-step explanation:

Given

(x^2-9)(x+3)

Required

Select 3 equivalent expressions

(x^2-9)(x+3)

Express 9 as 3^2

(x^2-3^2)(x+3) --- This is one equivalent expression

Take x^2 - 3^2 as difference of two squares

(x-3)(x+3)(x+3) -- This is another equivalent expression:

Solving further:

(x-3)(x+3)(x+3) becomes

(x-3)(x+3)^2   -- This is another equivalent expression:

Hence, the equivalent expressions are:

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

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

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

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The ratio of John's money to Jimmy's money is 5:8. Jimmy spent 1/4
erma4kov [3.2K]

Answer:

a. $3600

b. 6:5

Step-by-step explanation:

Put the question into an equation:

8x - 1/4 x 8x = 5x + 450

(simplify before solving) 6x = 5x + 450

(solve) 6x-5x = 450

x = 450

This means that Jimmy had 8 x 450 $ to start with = 3600

you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!

Now ratio of new amounts:

Jimmy now has: $2700

John still has: $2250

so ratio is 2700:2250

simplify to 6:5

Hope this helps

Please mark brainiest

3 0
3 years ago
If f(x)=2x-3/5 , which of the following is the inverse of f(x)?
grigory [225]

Answer:

(5x+3)/2

Step-by-step explanation:

f(x)=(2x-3)/5

f(x)=y

y=(2x-3)/5

interchanging role of x and y

x=(2y-3)/5

5x=2y-3

5x+3=2y

y=(5x+3)/2

the inverse if f(x) = (5x+3)/2

5 0
3 years ago
Adding integers<br><br> (+6)+(+2)
noname [10]

Answer:

6 + 2=8 \\so... +2 + +6 = +8\\

Step-by-step explanation:

So the thing about adding of integers is that is both nos. are positive then you can simply add it and same with negative too.But with negative and positive we should subtract but that is for later.Luckily we have 2 positive integers so we do it like this:

+6 is the same as 6 and +2 is the same as 2 so we...

  rule:add the numbers and add the sign.

6 + 2=8\\so... +2 + +6 = +8

7 0
2 years ago
Match each fraction with the equivalent fraction on the right
Nikolay [14]

Answer:

3/4 - 6/8

1/3 - 2/6

1/2 - 5/10

3/5 - 6/10

1/4 - 2/8

3 0
2 years ago
Read 2 more answers
Solve the algebraic expression , is it equivalent?
Vladimir [108]

Answer:

No

Step-by-step explanation:

When  you distribute the -2 you get 6x -2x+2. When  you simplify it you get 4x+2 which is different than 4x-2.

6 0
2 years ago
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