The value of the rate of change of the function is 14a + 7h
<h3>Rate of change of function</h3>
The rate of change of function is also known as the slope expressed according to the equation shown below;
f'(x) = f(a+h)-f(a)/h
Given the function below expressed as:
f(x) =1 + 7x^2
<u>Determine the function f(a)</u>
To determine the function, simply replace x with 'a" to have:
f(a) =1 + 7a^2
Determine the function f(a+h)
f(a+h) = 1 + 7(a+h)^2
f(a + h) = 1 + 7(a^2+2ah+h^2)
f(a + h) = 1 + 7a^2 + 14ah + 7h^2
To determine the rate of change
f'(x) = f(a+h)-f(a)/h
f'(x) = 1 + 7a^2 + 14ah + 7h^2 - 1 - 7a^2/h
f'(x) = + 14ah + 7h^2/h
f'(x) = 14a + 7h
Hence the value of the rate of change of the function is 14a + 7h
Learn more on rate of change here: brainly.com/question/8728504
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Answer:
The answer would be line AB
6+3x = 2(2 + x)
First we will need to open the parenthesis by multiplying the number that’s in front of them:
6+3x=4+2x
Now we need to separate the numbers from the X. By subtracting 2x from both sides:
6+3x=4+2x
-2x -2x
————————
6+x=4
Now we subtract 6 from both sides.
6+x=4
-6 -6
—————
X = -2
Answer:
51
Step-by-step explanation:
A = Surface area of the Earth = 
Total number of people on Earth = 7.594 billion as of 2018 = 
We need to find the number of people living in each square km of land area.
So, we need to divide the number of people by the land area of the Earth.
So, 51 people will inhabit each square km of land area.
