Mathematics: What is the average rate of change of the function f(x)=20 ( 1 4 ) x f(x)=20(14)x from x = 1 to x = 2? will give for the correct answer

What is the average rate of change of the function

lilsmitty137ovf7yw

11.03.2022

The average rate of change is 3640.

Explanation:

The given function is,

f(x)=20(14)^x

The value of f(x) at x=1.

f(1)=20(14)^(1)

$f(1)=20\times 14$

f(1)=280

The value of f(x) at x=2.

f(2)=20(14)^(2)

$f(2)=20\times 196$

f(2)=3920

The average rate of change of a function from x₁ to x₂ is,

$\text{Rate of change}=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

$\text{Rate of change}=\frac{f(2)-f(1)}{2-1}$

$\text{Rate of change}=\frac{3920-280}{1}$

$\text{Rate of change}=3640$

Therefore the average rate of change is 3640.

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jansielys01013

23.05.2020

(x-y)(x-y-2)(x-y+2)

Step-by-step explanation:

Notice that (x-y) both are the same, factor (x-y) out.

Then just finish things inside the bracket, hope you remember the formula of completing the square

This part is a bit confusing as you need to convert the x^2-2xy+y^2-4 again.

The answer is here...

[Note]: Notice that there's , use the formula of the Difference of Two Squares.

Then you can factor inside the bracket again, just two bracket factoring.

It's hard but if you understand it then that's good!

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