Using f(x)= 2/3x^5. Determine the average rate of change of F over the following interval of X=5 to X=10

12916.66

Step-by-step explanation:

f(5) = 2/3(5)^5

f(5) = 2/3 (3125)

f(5) = 2083.33

f(10) = 2/3(10)^5

f(10) = 2/3 (100000)

f(10) = 66666.66

You want to subtract the results from eachother

66666.66 - 2083.33 = 64583.33

Now you want to divide this number by how much f(x) did

it went up by 5 so we divide by 5

64683.33 / 5 = 12916.66

If you need the full answer take this this includes every thing

4(x−3)−5(x+1)=34(x-3)-5(x+1)=34(x−3)−5(x+1)=3
1 Expand
4x−12−5x−5=34x-12-5x-5=34x−12−5x−5=3

2 Simplify 4x−12−5x−54x-12-5x-54x−12−5x−5 to −x−17-x-17−x−17
−x−17=3-x-17=3−x−17=3

3 Add 171717 to both sides
−x=3+17-x=3+17−x=3+17

4 Simplify 3+173+173+17 to 202020
−x=20-x=20−x=20

5 Multiply both sides by −1-1−1
x=−20x=-20x=−20