Answer:
The average rate of change is:
![\frac{13}{161}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B161%7D)
Step-by-step explanation:
The rational function given to us is;
![f(x)=\frac{3x+4}{2x+7}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x%2B4%7D%7B2x%2B7%7D)
![f(0)=\frac{3(0)+4}{2(0)+7}](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B3%280%29%2B4%7D%7B2%280%29%2B7%7D)
![f(0)=\frac{4}{7}](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B4%7D%7B7%7D)
![f(8)=\frac{3(8)+4}{2(8)+7}](https://tex.z-dn.net/?f=f%288%29%3D%5Cfrac%7B3%288%29%2B4%7D%7B2%288%29%2B7%7D)
![f(0)=\frac{28}{23}=1](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B28%7D%7B23%7D%3D1)
The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:
(0,f(0)) and (8,f(8))
Average rate of change =![=\frac{f(8)-f(0)}{8-0}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bf%288%29-f%280%29%7D%7B8-0%7D)
![=\frac{\frac{28}{23}-\frac{4}{7} }{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cfrac%7B28%7D%7B23%7D-%5Cfrac%7B4%7D%7B7%7D%20%7D%7B8%7D)
![=\frac{13}{161}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B13%7D%7B161%7D)
The answer is 984.6 hope this helps
Answer
27 days
Step-by-step explanation:
father= 45 days
oldest son + father=27 days
youngest + father= 36 days
45-27=18
45-36=9
18+9=27
so it would take 27 days for both sons to complete the house
18 days=oldest son
9 days =youngest son
The data set in discuss which contains three points and two of the residuals are 7 and -3 would have its third residual as; -4.
<h3>What is the third residual if the data set characterized as having 2 of its three residuals to be; 7 and -3?</h3>
According.tinthe task content, the data set in discuss has three points and consequently should have three residuals.
Additionally, two of the three residuals have been given and on this note, it follows that the third residual must have a value such that the algebraic sum of all residuals is 0.
Hence, we have; -3 + 7 +x = 0;
x = 3-7 = 4.
Ultimately, the third residual is; -4.
Read more on residuals in a data set;
brainly.com/question/27733055
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