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alexira [117]
3 years ago
15

Yelp............................

Mathematics
1 answer:
exis [7]3 years ago
3 0

Answers:

f(2) = \textbf{1}\\\\f^{-1}(1) = \textbf{2}\\\\f^{-1}(f(2)) = \textbf{2}

===================================================

Explanation:

Replace x in f(x) with 2. Then simplify

f(x) = \frac{1}{2}x\\\\f(2) = \frac{1}{2}(2)\\\\f(2) =1\\

Then plug x = 1 into the inverse function and simplify

f^{-1}(x) = 2x\\\\f^{-1}(1) = 2(1)\\\\f^{-1}(1) = 2\\

Lastly,

f^{-1}(f(2)) = f^{-1}(1) = 2

is the result of combining the two parts above.

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alexdok [17]

We need to find the percent, let's start but making the equation.

The price is 2.69

The tax cost is 0.13

So what percent of 2.69 is = 0.13.

Equation: X/100 x 2.69 = 0.13

Multiply each side by 100 so we can get x alone with the price: 2.69x = 13

Now to get x alone, we must divide both sides by 2.69: x = 4.8

Finally, we just round 4.8 to the nearest whole number, which is 5 (5 or above give it a shove, 4 or below let it go, we have 8 so we give it a shove). This means that the answer will be 5%.

I hope this helps! :)

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Last year 40 people adopted a manatee through fia's foundation. This year 30% more people adopted a manatee. How many people ado
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____________________________________________________

Answer:

Your answer would be 52 people.

____________________________________________________

Step-by-step explanation:

To solve a problem like this, we would want to find out the TOTAL amount of people after figuring out how much increased.

In the question, it is saying that there was a 30% increase from the 40 people that adopted a manatee last year.

There are two ways to solve this:

First way to solve this, we would need to figure out how much is 30% of 40.

To do that, we would multiply 40 by 0.30

40 × 0.30 = 12

Now we found how much 30% of 40 is. What we have to do now is add 40 and 12 to get the total amount of people that adopted a manatee this year.

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Second way to solve it:

This is probably the more faster way to solve the question like this. We know that the increase was 30%, and that last years number was 40. So we would multiply 40 by 1.3

40 × 1.3 = 52

The second way is probably more quicker than the first, but it's your choice on which way you want to use. They both will give you the same answer at the end.

Your FINAL answer would be 52 people.

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