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Colt1911 [192]
3 years ago
6

Find (f ° g)(0). *

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Remark

I have to represent f(x) as plus +f(x)

I like to show this situation as +f(g(x)) which I think is much clearer.

+f(x) = 5x - 4    

Solution

+f(g(x)) = 5(g(x)) - 4  What has happened is that wherever you see an x on the right you put in g(x).

Now on the right, you put whatever g(x) is equal  to.

+f(g(x)) = 5(x^2 - 1)  - 4    

Remove the brackets.

+f(g(x)) = 5x^2 - 5 - 4

And make x = 0

+f(g(0)) = 5*0 - 5 - 4

+f(g(0)) = - 9

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3 years ago
You want to paint the walls of your bedroom. Two walls measure 15 ft by 9 ft, and the other two walls measure 18 ft by 9 ft. The
sertanlavr [38]

Answer:

The total amount you will spend on the paint=$34

Step-by-step explanation:

Step 1: Determine total area of walls

The total area of walls=Area of wall 1+area of wall 2+area of wall 3+area of wall 4

where;

area of wall 1=(15×9)=135 ft²

area of wall 2=(15×9)=135 ft²

area of wall 3=(18×9)=162 ft²

area of wall 4=(18×9)=162 ft²

replacing;

Total area of walls=(135×2)+(162×2)=594 ft²

Total area of walls=594 ft²

Step 2: Number of gallons of paint needed

Use the expression;

Total area of walls=area per gallon cans×number of gallon cans needed

where;

total area of walls=594 ft²

area per gallon=400 ft²

number of gallons=n

replacing;

594=400×n

n=594/400

n=1.485

Total number of gallon cans=1.485=2 gallon cans

Step 3: Total cost

The total cost of painting can be expressed as;

Total cost=cost per gallon can×number of gallon cans needed

where;

Cost per gallon=$17

number of gallon cans needed=2

replacing;

Total cost=(17×2)=$34

The total amount you will spend on the paint=$34

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