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Pavlova-9 [17]
3 years ago
7

Plz answer hurry. 20 points for right answer

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
8 0
First, we need to define the function of (fog)(x)
(fog)(x) = f(g(x))
it means we need to substitute the x in the function f(x) with g(x)

f(x) = x + 7
change x with g(x)
fog(x) = g(x) + 7
fog(x) = \cfrac{1}{x-13} + 7

equalize the denominators
fog(x) = \cfrac{1}{x-13} + 7
fog(x) = \cfrac{1}{x-13}+\cfrac{7(x-13)}{x-13}

simplify
fog(x) = \cfrac{7x-91+1}{x-13}
fog(x) = \cfrac{7x-90}{x-13}

Second, determine the domain of the function
If the function is in fraction form, the denominator of the fraction can't be equal to zero.
x - 13 ≠ 0
x ≠ 13
The domain is {x| x≠13}
The answer is last option
lapo4ka [179]3 years ago
3 0
Did You Figure This Out I Need Help Too. Lol
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HELPP RUNNING OUT OF TIME
Semenov [28]
6^{3}=216

Therefore answer is B.

6^{0}=1
6^{1}=6
6^{2}=36
6^{4}=1296
3 0
3 years ago
Read 2 more answers
The weight, in pounds, of a newborn baby tt months after birth can be modeled by the function W(t)=1.25t+6.W(t)=1.25t+6. What is
ollegr [7]

Answer:

6

Step-by-step explanation:

GIVEN: The weight, in pounds, of a newborn baby t months after birth can be modeled by the function W(t)=1.25t+6.

TO FIND: What is the y-intercept of the function and what is its interpretation in the context of the problem.

SOLUTION:

in  W(t)=1.25t+6

if t=0

W(0)=6

Hence y-intercept is 6

the y-intercept in this represents the weight of baby just after he is born.

8 0
3 years ago
Time to paint the living room. The room measures 20 feet wide by 30 feet long by 12
chubhunter [2.5K]

The cost to paint the walls and the ceiling is $855

<h3></h3><h3>How much will it cost?</h3>

First, we need to find the area that will be painted.

The area of two of the walls is:

A = 20ft*12ft = 240ft²

The area of the other two walls:

A' = 30ft*12ft = 360ft²

The area of the ceiling is:

A'' = 20ft*30ft = 600ft²

We also need to subtract the areas of the two doors and the 4 windows.

Each door is 7ft by 3ft, so the area of each door is:

a = 7ft*3ft = 21ft²

Each window is 4ft by 3ft:

a' = 4ft*3ft = 12ft²

Then the total area that will be painted is:

area = 2A + 2A' + A - 2a - 4a'

area = 2*( 240ft²) + 2*(360ft²) + 600ft² - 2*(21ft²) - 4*(12ft²)

area = 1,710 ft²

We know that we need two coats of paint to cover that area, and the cost per square foot of paint is $0.25, then the total cost is:

C = $0.25*2*(1,710) = $855

The cost to paint the walls and the ceiling is $855

If you want to learn more about areas:

brainly.com/question/24487155

#SPJ1

6 0
2 years ago
PLEASE HELP DUE IN 1 HOUR
kobusy [5.1K]
Choosing blue or red: 3 blue + 4 red = 7 marbles
3 blue + 2 green + 4 red + 1 yellow = 10 marbles

Probability blue or red marble: 7/10

Choosing a marble that isn't blue or red: 2 green + 1 yellow = 3 marbles
Total marbles: 3 blue + 2 green + 4 red + 1 yellow = 10 marbles

Probability non-blue or red marble: 3/10
5 0
3 years ago
Triangle P=27,Q=40,P=33 law of sines round measures to the nearest tenth
nordsb [41]
For the law of sines, you would apply it in this particular problem like so:
Since P is 27, its angle is 33 and Q's length is 40; you would set it up like this
<u />40/SinQ = 27/Sin33, multiply 40 with Sin33, then it would be 40Sin33, then divide it by 27. The result should be 40Sin33/27 = X

5 0
3 years ago
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