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3 years ago

If u have 40 dollars which is 8 times more money than Jefferson has how much money does Jefferson have

Mathematics

1 answer:

3241004551 [841]3 years ago

3 0

Write it as an equation, letting the amount Jefferson has equal x:

40 = 8x

Solve for x by dividing both sides by 8:

X = 40/8

X = 5

Jefferson has $5

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For the funtion f(x)= (x+7)^5, Find f^-1 (x)

quester [9]

Answer:

The inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

Step-by-step explanation:

For the function $f(x)= (x+7)^5$ , Find $f^{-1} (x)$

For finding inverse of x,

First let:

$y=(x+7)^5$

Now replace x with y and y with x

$x=(y+7)^5$

Now, solve for y

Taking 5th square root on both sides

$\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7$

Now, replace y with $f^{-1} (x)$

$f^{-1} (x)=\sqrt[5]{x}+7$

So, the inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

6 0

3 years ago

Use the Taylor series you just found for sinc(x) to find the Taylor series for f(x) = (integral from 0 to x) of sinc(t)dt based

Marina CMI [18]

In this question (brainly.com/question/12792658) I derived the Taylor series for $\mathrm{sinc}\,x$ about $x=0$ :

$\mathrm{sinc}\,x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}$

Then the Taylor series for

$f(x)=\displaystyle\int_0^x\mathrm{sinc}\,t\,\mathrm dt$

is obtained by integrating the series above:

$f(x)=\displaystyle\int\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}\,\mathrm dx=C+\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}$

We have $f(0)=0$ , so $C=0$ and so

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}$

which converges by the ratio test if the following limit is less than 1:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(-1)^{n+1}x^{2n+3}}{(2n+3)^2(2n+2)!}}{\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}}\right|=|x^2|\lim_{n\to\infty}\frac{(2n+1)^2(2n)!}{(2n+3)^2(2n+2)!}$

Like in the linked problem, the limit is 0 so the series for $f(x)$ converges everywhere.

7 0

3 years ago

What number would go in the blank? (3 • 5) • 2 = 3 • (__ • 2) 10 5 2

tester [92]

Answer:

Step-by-step explanation:

It's the one that's missing.

Hope I helped!

Please mark Brainliest!

7 0

2 years ago

Read 2 more answers

What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if

Rina8888 [55]

19.5959179422
or if u round to the nearest whole #--> 20

8 0

3 years ago

Read 2 more answers

What is the perimeter and area of 5.6 2.1

Svetlanka [38]

If 5.6 and 2.1 are the measurements then:
you multiply 5.6 and 2.1 to get the area.
Area=11.76squared
You add 5.6+5.6+2.1+2.1 to get the perimeter.
Perimeter=15.4

7 0

3 years ago