ensiah193 ensiah193

06-09-2021
Mathematics

contestada

Find the average rate of change for f(x)=9x^2+3 over the interval [x,x+h].

Respuesta :

06-09-2021

Answer:

[tex]9h +18x[/tex]

Step-by-step explanation:

[tex]\frac{f(x +h) -f(x)}{x+h -x} \\ \frac{9(x +h)^2 +3 -(9x^2 +3)}{h} \\ \frac{9(x^2 +2xh +h^2) +3 -9x^2 -3 }{h} \\ \frac{9x^2 +18xh +9h^2 +3 -9x^2 -3}{h} \\ \frac{9h^2 +18xh}{h} \\ 9h +18x[/tex]

Answer Link

Otras preguntas

Please Help! Giving Brainliest!

Calculate and give the answer with the correct number of significant figures. 3.256 / 2.7

How do the respiratory and circulatory systems work together to maintain homeostasis, particularly during strenuous/intense exercise?

two numbers have a difference if 1200 and a total of 6484

8 ft. Area 8 ft. 15 ft.

An ecosystem Is shown in the Illustration. Assume that human activities have led to a decrease in the number of eagles. A virus attack on rabbits has led to a d

If △PQR ~ △STU, find ST

Which expression is equivalent to 2 + 3(x - 6)? A. 5x 30 B. Sx 6 C. 2+ 3x 18 D. 2+ 3x 6

2 meters 3 meters 6 meters 4 meters What is the area of the shape? Hi Plz help I have 30 more minutes before my test ends

A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?