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BabaBlast [244]
3 years ago
14

If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 8, find a function f such that f ∘ g = h. (Think about what operations you would have to

perform on the formula for g to end up with the formula for h.)
Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

Step-by-step explanation:

Hello,

(\forall x \in \mathbb{R}) (fog)(x)=f(g(x))=f(2x+2)=h(x)=4x^2+8x+8\\\\=(2x+2)^2-2^2+4(2x+2)\\\\=(2x+2)^2+4(2x+2)-4\\\\\text{So, we conclude by.}\\\\\large \boxed{\sf \bf f(x)=x^2+4x-4}

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Mr slone said that his car was worth $32,000 when it was purchased.however over the last 3 years $6300. What integer represents
frutty [35]

Hi! I'm happy to help!

To solve this, we need to first find how much the car value decreased.

The car started at $32,000, but dropped down to $6,300. To find the value drop, we use subtraction.

$32,000-$6300

$25,700

Now we know that his car value dropped $25,700 in value over the course of 3 years. Now we need to figure out how much value it dropped per year. To do this, we split the money into 3 years.

$25,700÷3

$8,566.6666666...

We can round this to $8,567

On average, his car lost $8,567 in value, per year. Now, we need to find how much value his car had after one year in order to get our integer. (a fraction of 2 whole numbers)

$32,000-$8,567

$23,433

Now that we know what his can was worth after one year, we can say that his can was worth $23,433 out of the $32,000 originally was worth. Out of can mean division, or fraction, and because these are both whole numbers, and integer. This is our integer:

\frac{23433}{32000}

<u>Since we cannot simplify it, this is our integer that represents the average decrease in value per year.</u>

I hope this was helpful, keep learning! :D

8 0
3 years ago
The ages Edna, and Elsa are consecutive integers. The sum of their ages is 114. What are their ages?
OLEGan [10]

Answer:

Edna = 56.5

Elsa = 57.5

Step-by-step explanation:

Represent Edna age with x; Elsa age will be x + 1

So,

x + x + 1 = 114

2x + 1 = 114

Make 2x the subject

2x = 114 - 1

2x = 113

Solve for x

x = 113/2

x = 56.5

Elsa age is calculated as thus;

Elsa = x + 1

Elsa = 56.5 + 1

Elsa = 57.5

3 0
3 years ago
What’s the correct answer for this questions?
Naya [18.7K]

Answer:

B = 6√10

Step-by-step explanation:

In the attached file

6 0
3 years ago
45 divided by 3/4 what is it
klemol [59]

Answer:

i would say

60

6 0
3 years ago
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myrzilka [38]
2 bags of sugar hope this helps

8 0
3 years ago
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