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barxatty [35]
3 years ago
5

Five years ago, John's age was half of the age he will be in 8 years. How old is he now?

Mathematics
2 answers:
Alexus [3.1K]3 years ago
4 0
Answer:
26 year old

Step by step explanation:
Five years ago, John's age was half of the age he will be in 8 years.
this means that (x-5) = (x+8)/2
-----
solving for x, we get:
2 * (x-5) = x + 8
which becomes:
2x - 10 = x + 8
which becomes:
x = 18
-----
john is 18 years old now.
5 years ago john was 13
8 years from now john will be 26
13 = 1/2 * 26
Zarrin [17]3 years ago
4 0

Answer:

Five years ago, John’s age was half of the age he will be in 8 years. How old is he

He is 18

Step-by-step explanation:

Solution:

=x-5 = (x+8)/2

=2[x-5 = (x+8)/2]

=2x-10 = x+8

=2x-x=10+8

=x=18

ANS: x=18

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

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