Answer:
The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>
Step-by-step explanation:
Given function representing inches of rainfall:

To find the average rate of change between the 2nd year and the 6th year.
Solution:
The average rate of change between interval
is given as :

For the given function we need to find the average rate of change between 2nd year and 6th year. ![[2,6]](https://tex.z-dn.net/?f=%5B2%2C6%5D)
So, we have:


Thus, average rate of change will be:

⇒ 
⇒ 
⇒ 
Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches
Answer:
B: 4/5x -2y ≥ 3
Step-by-step explanation:
The first thing I always look for is the y-intercept which in this case is around -1.5 (-
). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around
. So now, your equation is y =
x -1
. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤
x -1
.
Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤
x -3. The last step is to rearrange the inequality so that it matches the answers on the question.
3 ≤
x - 2y
x - 2y ≥ 3
X=180-2(60)
=180-120
=40
The length of the other angle is 40°.
X = 12, because there is only one answer that has a number bigger than 9 :)