Finding the inverse function:
We are given a function y = f(x). To find the inverse function, we exchange x with y in the original function, and then isolate y.
So
We are given the function:

So

Changing x with y

Now, we have to isolate y. So

We can apply the fifth root to both sides. So:
![\sqrt[5]{(y+7)^5}=\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%28y%2B7%29%5E5%7D%3D%5Csqrt%5B5%5D%7Bx%7D)
![y+7=\sqrt[5]{x}](https://tex.z-dn.net/?f=y%2B7%3D%5Csqrt%5B5%5D%7Bx%7D)
Answer:
The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.
This value of Δy is not constant for a constant increase in production.
Step-by-step explanation:
We know that the production function is
, and in the current situation
and
.
With this information we can calculate the actual budget level:

The next year, with an increase in demand of 100 more automobiles, the production will be
.
If we calculate y for this new situation, we have:

The budget for the following year is 130.
The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.

This value of Δy is not constant for a constant increase in production.
Answer:
six x minus y.
Step-by-step explanation:
In changing it to verbal expression, you are essentially changing all the signs into words. Write it like how you will say it.
~
Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem:
- The vertical change is x.
- The horizontal change is of 602 ft.
Hence, applying the concept:
tan (36º) = x/602
x = 602 x tan(36º)
x = 437.4.
More can be learned about the slope concept at brainly.com/question/18090623
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Answer: 1
Scotland
Step-by-step explanation:
In the first vote, points are:
France = 15
England = 12 + 16 = 28
Ireland = 19
2nd vote
England = 15
Scotland = 12 + 19 = 31
Ireland = 16
3rd vote
Scotland = 15 + 16 = 31
Ireland = 12
England = 19
4th vote
Ireland = 15
France = 12 + 16 + 19 = 47
At the end of everything
England = 19 + 15 + 28 = 62
France = 15 + 47 = 62
Scotland = 31 + 31 = 62
Ireland = 19 + 16 + 12 + 15 = 62
To find the Condorcet winner, the number of votes for runner over opponent (runner,opponent) is compared with the number of votes for opponent over runner (opponent,runner)
Only Scotland has the highest (31) points twice.