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3 years ago

Find the inverse of the function. f-^1(x)= (x – 5)^3 + 1

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

Answer:

Step-by-step explanation:

To find the inverse of function y=f(x), swap variables and then solve for the original variable.

$y=(x-5)^3+1\\ \\ x=(y-5)^3+1\\ \\ x-1=(y-5)^3\\ \\ \sqrt[3]{x-1}=y-5\\ \\ y=\sqrt[3]{x-1}+5\\ \\ f^{-1}(x)=\sqrt[3]{x-1}+5$

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ULLIVLY/1/2/3/assessment

zvonat [6]

<h3>The worth after 4 years is $ 680.24</h3>

Solution:

The formula for compound interest, including principal sum, is:

$A = p(1+\frac{r}{n})^{nt}$

Where,

A = the future value of the investment

P = the principal investment amount

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

n = 1 ( since interest is compounded annually)

p = 500

t = 4

$r = 8 \% = \frac{8}{100} = 0.08$

Substituting the values we get,

$A = 500(1+ \frac{0.08}{1})^{1 \times 4}\\\\A = 500(1.08)^4\\\\A = 500 \times 1.36048896\\\\A = 680.24448 \approx 680.24$

Thus the worth after 4 years is $ 680.24

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3 years ago

A password consists of 2 letters followed by 2 digits. How many different passwords can be formed?

kkurt [141]

There are 26 letters. There are 10 digits. Different combos possible are 26 * 26 * 10 * 10

Basically 67,600 different passwords can be formed. Rate and Thank if helped! :)

7 0

3 years ago

Read 2 more answers

#1) Please help me with this question! Will Mark BRAINLIEST. :)

Vadim26 [7]

I think it’s gonna be all real numbers except 13

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3 years ago

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Dianna and Becky were playing on the same soccer team and took turns being goalie. They stoped 9 out of 10 shots made against th

vitfil [10]

Answer:

27 balls

Step-by-step explanation:

If Dianna and Becky stopped 9 out of 10 shots made against them.

It means they allowed in 1 out of 10 shots made against them.

This is best solved using ratios

Proportion of Shots Stopped : Proportion of Shots allowed=9:1

If the other team scores 3 points, it means the number of shots allowed =3

Let x be the number of shots stopped

Number of Shots Stopped : Number of Shots allowed=x:3

Therefore:

9:1=x:3

$\frac{9}{1}=\frac{x}{3}$

Cross multiplying

x=9 X 3 =27

Dianna and Becky stopped 27 balls from going into the net,

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3 years ago

What is the slope of the line? (2,3) (4,2)

Rainbow [258]

Formula for slope: $\frac{y2-y1}{x2-x1}$
Plug in: $\frac{2-3}{4-2} 
= - \frac{1}{2}$
Slope: $- \frac{1}{2}$
Answer: $B$

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3 years ago