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anyanavicka [17]
3 years ago
12

Inverse function details

Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y  ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

           x=6y-19

           x+19=6y dividing with 6

           1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

           

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in how many different ways can 8 people be seated in a circle if 3 people insist on sitting next to each other?
Sidana [21]

The number of ways can 8 people be seated in a circle if 3 people insist on sitting next to each other is 56 ways.

<h3>How to illustrate the information?</h3>

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

This will be:

= 8! / (8 - 3!) 3!

= 8! / 5! 3!

= 8 × 7 × 6 / 3 × 2

= 5

There can be 56 ways.

Learn more about combinations on:

brainly.com/question/4658834

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7 0
2 years ago
What is the total length of all the seeds<br> that the students measured?
mr_godi [17]

Answer:

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8 0
3 years ago
In a large marathon, runners start the race in stages. Leanna started in group E and ran at a rate of 4.8 miles per hour. During
grandymaker [24]

Answer: Leanna ran 39.96 miles before she was passed by Irina.

Step-by-step explanation:

When Irina would pass Leanna, they would have ran the same distance.

Let t represent the time that Leanna ran before she was passed by Irina.

Distance = speed × time

Leanna started in group E and ran at a rate of 4.8 miles per hour. The distance ran by Leanna before she was passed by Irina is

4.8 × t = 4.8t

During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes(20/60 = 0.333 hour) after Leanna started. The time spent by Irina in running this distance is

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Distance ran by Irina is

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Since they ran the same distance, then

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Therefore, the distance that Leanna ran before she was passed by Irina is

4.8 × 8.325 = 39.96 miles

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