aileenasnowden2 aileenasnowden2
  • 03-12-2020
  • Mathematics
contestada

If AX) = x2 + 2x + 3, what is the average rate of change of AX) over the interval (-4, 6]? OA 51 B. 40 OC. 31 OD 20 OE 4​

Respuesta :

jimrgrant1 jimrgrant1
  • 03-12-2020

Answer:

E

Step-by-step explanation:

The average rate of change of A(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 4, 6 ] , then

f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51

f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus

average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E

Answer Link

Otras preguntas

How does nitrogen return from the atmosphere?
Which sentence in the US Constitution provides for limiting the power of government? A “All persons born or naturalized in the United States . . . are citizens
Maggie has 20 ribbons. 2/5 of the ribbons are polka-dotted ribbons. How many ribbons are not polka - dotted?
What is the sqaure root of 121?
Jimmy filled his fish aquarium with water one night. The next morning, Jimmy noticed the water level had dropped 1.5 inches. Which of the following equations co
What's 0.50 in fraction
round 128.59943 to 3 decimal places
What is the speed of a truck that travels 15 KM in 12 minutes
A number n increased by 6 is less then or equal to 4
What time did Mario finish homework start 3:30 end 25 min later