Answer:
What drawing???
Step-by-step explanation:
Answer:
C. 9
Step-by-step explanation:
The vertex form of the function is given by;
![f(x)=a(x-h)^2+k](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-h%29%5E2%2Bk)
where
is the vertex of the parabola.
![f(x)=a(x-1)^2+1](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-1%29%5E2%2B1)
We substitute a third point say, (3,5) to find the value of a;
![5=a(3-1)^2+1](https://tex.z-dn.net/?f=5%3Da%283-1%29%5E2%2B1)
![5-1=a(2)^2](https://tex.z-dn.net/?f=5-1%3Da%282%29%5E2)
![4=4a](https://tex.z-dn.net/?f=4%3D4a)
![1=a](https://tex.z-dn.net/?f=1%3Da)
The function is
![f(x)=(x-1)^2+1](https://tex.z-dn.net/?f=f%28x%29%3D%28x-1%29%5E2%2B1)
![f(6)=(6-1)^2+1](https://tex.z-dn.net/?f=f%286%29%3D%286-1%29%5E2%2B1)
![f(6)=(5)^2+1](https://tex.z-dn.net/?f=f%286%29%3D%285%29%5E2%2B1)
![f(6)=26](https://tex.z-dn.net/?f=f%286%29%3D26)
The average rate of change for the interval x=5 to x=6 is
![=\frac{f(6)-f(5)}{6-5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bf%286%29-f%285%29%7D%7B6-5%7D)
![=\frac{26-17}{1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B26-17%7D%7B1%7D)
![=9](https://tex.z-dn.net/?f=%3D9)
Part 2....lol....I cant draw a model.
5/6 + 1/4.
steps involved : find a common denominator. Make both fractions have that denominator by converting them. Add fractions. Turn to mixed numbers if necessary.
5/6 + 1/4....common denominator 12
10/12 + 3/12 =
13/12 or 1 1/12
I dont know what to put foe reasoning other then that you can't add/subtract fractions unless they have the same denominator.
================
3/4 - 2/3
steps involved: find the common denominator to both fractions. Convert both fractions so they have the same denominator. Subtract them.
3/4 - 2/3....common denominator is 12
9/12 - 8/12 =
1/12
====================
2/3 * 3/8......multiply straight across.....numerator with numerator, denominator with denominator. Reduce when needed.
2/3 * 3/8 = (2 * 3) / (3 * 8) = 6/26 reduces to 1/4
with multiplication / division of fractions, common denominators are not necessary
===================
(3/8) / (3/4) =
3/8 * 4/3 =
12/24 reduces to 1/2
when dividing with fractions, u flip what u r dividing by, then multiply
0.272 fluid ounces is the answer