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Georgia [21]
3 years ago
13

I don't understand it and idk the answer ​

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

The answer is A

Step-by-step explanation:

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Please help. Not sure how to do this one
Sladkaya [172]

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Step-by-step explanation:

Given

f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2

We have to find

(hofog)(x)

This will be equal to:

h(f(g(x)))

So we have to find the composition of (fog)(x) first

(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}

Now,

(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Keywords: Composition, Functions

Learn more about function composition at:

  • brainly.com/question/10015690
  • brainly.com/question/10048445

#LearnwithBrainly

8 0
3 years ago
10. There are 355 students at Median Middle School. If there 8% of the students were absent on Tuesday, how many students were a
Setler79 [48]

To solve this question, we simply need to divide the total amount of students by 8% to find out how many students were absent and how many were present.

However, we can't simply multiply it by 8%, so we need to turn that into a decimal.

8% - 0.08

<em>Multiply:</em>

<em>355 x 0.08</em>

<em>= 28.4</em>

<em>Round:</em>

<em>28 kids were absent</em>

<em>Subtract:</em>

<em>355 - 28</em>

<em>= 327</em>

<em />

<em>This means that </em><em>28 kids were absent</em><em>, and </em><em>327 kids were present</em><em>.</em><em> </em>

<em />

<em />

6 0
2 years ago
how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches
Alona [7]

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

8 0
3 years ago
34. A MasterCard statement shows a balance of $510 at 13.9% compounded monthly. What monthly payment will pay off this debt in 1
bixtya [17]

Answer:

The monthly payment is $35.10.

Step-by-step explanation:

p = 510

r = 13.9/12/100=0.011583

n = 12+4=16

The EMI formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

Now putting the values in formula we get;

\frac{510\times0.011583\times(1+0.011583)^{16} }{(1+0.011583)^{16}-1 }

=> \frac{510\times0.011583\times(1.011583)^{16} }{(1.011583)^{16}-1 }

= $35.10

Therefore, the monthly payment is $35.10.

8 0
3 years ago
This hanger is in balance. There are two labels weight. What is the weight of each circle on grams?
Citrus2011 [14]

Answer:

since there is no image attached I can't see what weight they could be labeled but since the scale is even the weights must be the same number weight

Step-by-step explanation:

hope this helped!

6 0
3 years ago
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