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:
Alright well just convert the ratio, into a fraction
31.469 . Hope this helps have a nice day :)
Step-by-step explanation:
Step-by-step explanation:
5 gallons 3 quarts +4 gallons 2 quarts
5.3
+
4.2
=9.5 gallons
<u>The question was written by the student in a comment because the image contains no question at all.</u>
- <u>Kathy sells candles for $3 and flowers for $5. She plans to sell at least 200 items and likes to earn a minimum of $2500.
</u>
Answer:

Step-by-step explanation:
<u>System of equations</u>
Kathy sells candles for $3 and flowers for $5. Let's set the following variables:
x = number of candles Kathy sells
y = number of flowers Kathy sells
She plans to sell 200 items, thus:
x + y = 200
She also likes to earn $2,500. The equation for this condition is:
3x + 5y = 2500
The system of equations is
