The work is on the picture attached, but a = 1
Hope this helps!!
For this case what we should do is evaluate the function in each of the points from 2 to 7 and then find the average.
We have then:
f (x) = ln (3x) +2.5.
f (2) = ln (3 * 2) + 2.5 = 4.291759469
f (3) = ln (3 * 3) + 2.5 = 4.697224577
f (4) = ln (3 * 4) + 2.5 = 4.98490665
f (5) = ln (3 * 5) + 2.5 = 5.208050201
f (6) = ln (3 * 6) + 2.5 = 5.390371758
f (7) = ln (3 * 7) + 2.5 = 5.544522438
Then the average is:
Average = (4.291759469 + 4.697224577 + 4.98490665 + 5.208050201 + 5.390371758 + 5.544522438) / (6) = 5.019472516
nearest hundredth
5.02
Answer:
the average rate of change of f (x) from 2 to 7 is 5.02
The answer is 23 i just answered that one earlier!
Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using y2 - y1 / x2 - x1
36 - 21 = 15
15 - 10 = 5
15/5 = 3, so the slope (m) is 3.
Now, plug into point-slope form: y - y1 = m (x - x1)
y - 21 = 3 (x - 10)
Simplify
y - 21 = 3x - 30
y = 3x - 9
I hope this helps!!