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ludmilkaskok [199]
2 years ago
9

6. It takes Ms. Rogan 13.7 minutes to run 1 mile. How long does it take her to run 3.1 miles (a 5k!). *

Mathematics
1 answer:
Brums [2.3K]2 years ago
4 0

Answer

42.47

Step-by-step explanation:

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For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.
Rufina [12.5K]

Answer:

The value of $(f \circ g)(x)$ is 17-18x and $(g \circ f)(x)$ is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$.

To find $(f \circ g)(x)$, substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$, substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$$

5 0
2 years ago
Two of your friends, Matt and Karen, both run to you to settle a dispute. They were working on a math problem, and got different
Anna11 [10]
So in matt's equation, he made a mistake in the a transision from line 2 to line 3 
in line 2:  -4(-2)2
in line 3: -4(4) 
the mistake is that -2 times 2 is not equal +4 it is equal to -4
also from lines 5 to 6 he made a mistake in order of opperations (mulit division then addition and subtract)
line 5: -10+30/5
line 6: 20/5

so he first subtracted 10 then divided, he should have divided then subtracted
so the equation should have equaled 

Karen used the correct (-) times (+) property and the order of operations
so Karen is correct and Matt is wrong.

5 0
3 years ago
Read 2 more answers
Please please please help me thanks
goldfiish [28.3K]

Answer:

1. 57       2. 81

Step-by-step explanation:

71x2=142   256-142=114/2= 57

5103/63= 81

5 0
3 years ago
How to do permutations?
PIT_PIT [208]
Permutations are written as nPx where n is the number of total choices possible and x is the number of choices that will be used. This is calculated as nPx = n! / (n-x)!.
Permutations represent the number of ways we can choose x objects from n possibilities where the order of selection matters.
7 0
3 years ago
50 POINTS!!!
Step2247 [10]

Answer:

well by looking at it , it would be for a.

3 0
3 years ago
Read 2 more answers
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