Hello :
<span> formula for the linear function with slope -9 and x-intercept 2 is :
y - 0 = -9(x-2)
y= -9x +18
</span>
Using it's concept, the average rate of change of the function over the interval 10 < x < 22 is given by:
![r = \frac{f(22) - f(10)}{12}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bf%2822%29%20-%20f%2810%29%7D%7B12%7D)
<h3>What is the average rate of change of a function over an interval?</h3>
It is given by the change in the <u>output divided by the change in input</u>.
Over the interval 10 < x < 22, the outputs are f(10) and f(22), hence the rate of change is given by:
![r = \frac{f(22) - f(10)}{12}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bf%2822%29%20-%20f%2810%29%7D%7B12%7D)
More can be learned about the average rate of change of a function at brainly.com/question/24313700
#SPJ1
6x - 9x - 5 =
combine like terms
6 - 9 = - 3
- 3x - 5 =
leave x by itself
- 3x - 5 =
+3x
___
0
- 5 = 3x
solve for x (division)
- 5 = 3x
___
3
-5/3 = x OR x = -5/3
Answer:
x=8
Step-by-step explanation:
solve the rational equation by combining expressions and isolating the variable x