Answer:
3
Step-by-step explanation:
The given function is
![f(x)=-x^2+6x+13](https://tex.z-dn.net/?f=f%28x%29%3D-x%5E2%2B6x%2B13)
The average rate of change is simply the slope of the secant line connecting any two point on the graph of the function.
The average rate of change of this function over the interval;
is given by:
![\frac{f(5)-f(1)}{5-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%285%29-f%281%29%7D%7B5-1%7D)
![f(5)=-(5)^2+6(5)+13](https://tex.z-dn.net/?f=f%285%29%3D-%285%29%5E2%2B6%285%29%2B13)
![f(5)=-25+30+13=18](https://tex.z-dn.net/?f=f%285%29%3D-25%2B30%2B13%3D18)
![f(-1)=-(-1)^2+6(-1)+13](https://tex.z-dn.net/?f=f%28-1%29%3D-%28-1%29%5E2%2B6%28-1%29%2B13)
![f(-1)=-1-6+13=18](https://tex.z-dn.net/?f=f%28-1%29%3D-1-6%2B13%3D18)
![f(-1)=6](https://tex.z-dn.net/?f=f%28-1%29%3D6)
The average rate of change now becomes;
![\frac{18-6}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B18-6%7D%7B4%7D)
![\frac{12}{4}=3](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B4%7D%3D3)
V cylinder = A_base * height, A_base = pi*r^2, if height=radius+7, then
V = pi*r^2(r+7)
That's it
Answer:
true?
Step-by-step explanation:
im guessing.
Answer:each class would buy 35 rolls.
Step-by-step explanation:
Let x represent the number of rows of either floral sheeting or vinyl glasses that each class would buy.
The freshmen have already spent $307 on their float, plus they need to buy floral sheeting that costs $69 per roll. This means that the total cost of buying x floral sheetings would be
307 + 69x
The sophomores, who have spent $342 so far on theirs, still need to purchase vinyl grass at $68 per roll. This means that the total cost of buying x vinyl grass would be
342 + 68x
Since they are buying the same number of rolls to cover the same area, then
307 + 69x = 342 + 68x
69x - 68x = 342 - 307
x = 35
Answer:
-12,3
Step-by-step explanation:
-12×3=-36
-12+3=-9