Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function
in an interval from a to b is given by:
![A = \frac{f(b) - f(a)}{b - a}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D)
In this question:
![f(x) = x^2 + 6x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20%2B%206x)
Where x goes from 5 to 7.
This means that
. So
![f(7) = 7^2 + 6(7) = 49 + 42 = 91](https://tex.z-dn.net/?f=f%287%29%20%3D%207%5E2%20%2B%206%287%29%20%3D%2049%20%2B%2042%20%3D%2091)
![f(5) = 5^2 + 6(5) = 25 + 30 = 55](https://tex.z-dn.net/?f=f%285%29%20%3D%205%5E2%20%2B%206%285%29%20%3D%2025%20%2B%2030%20%3D%2055)
The rate of change is:
![A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7Bf%287%29%20-%20f%285%29%7D%7B7%20-%205%7D%20%3D%20%5Cfrac%7B91%20-%2055%7D%7B2%7D%20%3D%2018)
The average rate of change of the function in this interval is of 18.
Answer:
7.5 < x < 8
Step-by-step explanation:
since the domain of a function is the value it can take as an argument except 0, then f(x) = 7.7.
Answer:
27.7% larger
Step-by-step explanation:
6 x 113% = 6.78
9 x 113% = 10.17
Old Area = 9 x 6 = 54 sq in
New Area = 6.78 x 10.17 = 68.95
(New - Old) ÷ Old = .277 = 27.7%
Answer:
Area= 89.38
Volume=???
Step-by-step explanation:
I had to teach myself this sh't ian even learn this yet. Sorry if its wrong bby girl
We know that each row would require 62 bricks, and considering that the wall will have multiple rows, we will be multiplying 62 by the number of rows. Since the wall has 10 rows, Nick has to use the 62 bricks 10 times (since 1 row requires 62 bricks, he would have to build that 1 row 10 times.)
If we think about the operation of multiplication, we can write “62 ten times” as 62 x 10 (or, when calculated, 620 bricks).