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RSB [31]
3 years ago
15

Each floor of a hotel as r rooms. On 8 floors, there are a total of 256 rooms. Write an equation to represent this situation

Mathematics
1 answer:
Natalka [10]3 years ago
3 0

Answer:

256/8 = r

Step-by-step explanation:

256 room between 8 floors so divide the number of rooms by each floor to work out r

256 divided by 8 equals r

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If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))
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Answer:

f(g(-1))=4

g(f(3))=50

Step-by-step explanation:

We know the definition of both functions: f(x)=3x-2, and g(x)=x^2+1

A) In order to evaluate what f(g(-1)) is, let's first investigate what g(-1) is using the definition for this function:

g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2

Now let's find what f(2) is using f(x) definition: f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4

B) In order to evaluate what g(f(3)) is, let's first investigate what f(3) is using the definition for this function:

f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7

Now let's find what g(7) is using the definition for this function:

g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50

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