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2 years ago

7

What is the inverse of F(x) =5x/3+ 5

1 answer:

ahrayia [7]2 years ago

4 0

The inverse function of f(x) = 5x/3 + 5 is f-1(x) = 3x/5 - 3

<h3>How to determine the inverse?</h3>

The function is given as:

f(x) = 5x/3 + 5

Rewrite as:

y = 5x/3 + 5

Swap x and y

x = 5y/3 + 5

Subtract 5 from both sides

x - 5 = 5y/3

Multiply through by 3

3x - 15 = 5y

Divide through by 5

y = 3x/5 - 3

Express as inverse function

f-1(x) = 3x/5 - 3

Hence, the inverse function of f(x) = 5x/3 + 5 is f-1(x) = 3x/5 - 3

Read more about inverse functions at:

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inessss [21]

Answer:

7.5 m 457.5 $\pi$ $m^{2}$

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = $\frac{1}{3} \pi r^{2}h$ .

Original Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *7.5^{2}*50$ = 937.5 $\pi$

Smaller Cone = $\frac{1}{3} \pi r^{2}h$ = $\frac{1}{3} \pi *6^{2}*40$ = 480 $\pi$

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2 years ago

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AnnZ [28]

Answer:

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Step-by-step explanation:

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Simplify like terms m² - 36

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3 years ago

last year, debra opened an investment account with $7600. At the end of the year, the amount in the account had increased by 29.

-BARSIC- [3]

There are $9842 in her account at the end of last year.

Step-by-step explanation:

Given,

Amount in account = $7600

Increment by the end of year = 29.5%

Amount of increase = 29.5% of amount in account

Amount of increase = $\frac{29.5}{100}*7600$

Amount of increase = 0.295*7600 = $2242

The increase is $2242.

Amount after increase = 7600 + 2242 = $9842

There are $9842 in her account at the end of last year.

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