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8090 [49]
3 years ago
14

If f(x)=4(3x-5), find f^-1(x)

Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

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Answer:the length of time he spent running is 8 minutes.

the length of time he spent swimming is 15 minutes.

Step-by-step explanation:

Let x represent the length of time he spent running.

Let y represent the length of time he spent swimming.

He exercised for a total of 23 minutes. This means that

x + y = 23

When running he burns 35 calories per minute, and when he swims he burns 30 calories per minute. He has burned 730 calories after exercising. It means that

35x + 30y = 730 - - - - - - - - - -1

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35(23 - y) + 30y = 730

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y = - 75/ -5

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8 0
3 years ago
The traffic-control monitor on the freeway shows 200 vehicles per minute passing the camera in 5 minutes. Of those vehicles, on
oksian1 [2.3K]

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Elliot borrowed $3800 from the bank for 3 years at a 4.25% simple interest rate?
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$161.50

Step-by-step explanation:

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Jane finished a race in 7 minutes. How many seconds is this.
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Step-by-step explanation:

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