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kkurt [141]
3 years ago
8

What is the inverse function of f(x) = 19/x^3

Mathematics
2 answers:
erica [24]3 years ago
8 0

Answer:

Step-by-step explanation:

1)  Replace f(x) with y:   y = 19/x^3

2) Interchange x and y:  x = 19/y^3

3) Solve this result for y:  xy^3 = 19, or y^3 = 19/x, or

   

    y = ∛[19/x]

                                                         -1

4.  Replace this y with the label    f    (x) =  ∛[19/x]

pychu [463]3 years ago
6 0

Answer:

The inverse function of f(x) =\frac{19}{x^3}

f(x)^{-1}=\sqrt[3]{\frac{19}{x}}

Step-by-step explanation:

f(x) = \frac{19}{x^3}

Steps to inverse the functions:

Step 1: x ⇔ y

x=\frac{19}{y^3}

Step 2 : now solve the equation for y:

y^3=\frac{19}{x}

y=\sqrt[3]{\frac{19}{x}}

The above equation is the inverse of the given function f(x).

f(x)^{-1}=\sqrt[3]{\frac{19}{x}}

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At the beach, 11% of people have white towels and 53% have blue towels. If
telo118 [61]

Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

8 0
3 years ago
Read 2 more answers
HELP WITH THIS MATH QUESTION!!! ​I DONT KNOW HOW TO DO THIS
Fed [463]

The similarity relationship is  AC / EC = AB / ED.

The length of AB is 157.50m.

<h3>What is the length of AB?</h3>

When two triangles are similar, the ratio of the known sides of the triangles can be used to determine the length of the side of the unknown length.

The similarity relationship is : AC / EC = AB / ED

AC = 160 + 50 = 210

210 / 160 = AB / 120

AB = (210 X 120) / 160 = 157.50

To learn more about similar triangles, please check: brainly.com/question/10658464

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3 0
1 year ago
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Margarita [4]

Answer:

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Step-by-step explanation:

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3 years ago
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4. A restaurant charges $9.95 for a large pizza with two toppings, and $1.25 for
bearhunter [10]

Answer:

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Step-by-step explanation:

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3 years ago
Marta is solving the equation S = 2Πrh + 2Πr2 for h. What is the result?
yulyashka [42]
<span>S = 2Πrh + 2Πr2
Manipulating the equation for h.
Step 1. subtract </span><span>2Πr2 on both sides.

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S - 2Πr2 = <span>2Πrh
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(S - 2Πr2)/2Πr = 2Πrh/<span>2Πr

</span><span>h = </span>(S - 2Πr2)/2Πr
6 0
3 years ago
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