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____ [38]
3 years ago
10

How would you solve #8

Mathematics
1 answer:
stellarik [79]3 years ago
4 0
I hope this helps you

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Given that k(x) = (2x + 4)2
taurus [48]

Answer:

f(x)=4x\\g(x)=x+2

Step-by-step explanation:

Because we have to rewrite this equation in the format f(g(x)), we have to divide, or factor to find basic terms,

Expanding the value of k(x), we have k(x)=4x+8. We see that each term can be divisible by 4, so we can factor out 4 to get

k(x)=4(x+2)

Now, we have two different terms getting multiplied. We can separate the two to get 4 \text{ and} (x+2)

Because we are multiplying 4 by the other term, this is represented by 4x

Now, we can just set f(x) and g(x) to these functions:

f(x)=4x\\g(x)=x+2

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.

Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).

3 0
3 years ago
Simplify the given equation. 5x + 2(x - 3) = -2(x - 1)
svp [43]
On the left side, distribute the 2 to x and -3 so the left side should look like 5x+2x-6.

on the right, distribute the -2 to x and -1 so the right side should look like -2x+2.

combine like terms on the left to get 7x-6=-2x+2

add -2x from the right side to the left side to make the equation 9x-6=2 now it's a two step equation.
add 6 to 2 to get 9x=8. divide by 9 and x=8/9.


8 0
3 years ago
Simplify 4i(-2 - 8i ) =
Dmitrij [34]
Hi there!

The answer is:

-8i -32i

-40i is the answer.
3 0
4 years ago
Read 2 more answers
Shady grove is 40 miles away. Middletown is 1/5 of the way there and Parkview is 2/5 of the way.
JulijaS [17]
7. 40/5=8. 40-8=32 32
8. 8*2=16 40-16=24. 24
9. 5/6
4 0
3 years ago
Read 2 more answers
Which expression is equivalent to the given expression?
Marianna [84]
10q + 5

A. 5q + 5q + 5 is your answer, since 5q + 5q = 10q, and the question is 10q + 5


A) 5q + 5q + 5    

remember to only add like variables
hope this helps
7 0
3 years ago
Read 2 more answers
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