Answer:
The vertex is at (-8,-3)
Step-by-step explanation:
The function is of the form
y = a|x-h| + k where (h,k) is the vertex
f(x) = |x+ 8|– 3
f(x) = |x - - 8|– 3
The vertex is (-8,-3)
Bob has 53 cows and spends 10 min each day petting each cow.This is 530 minutes one day which is 3710 minutes in a week. 200 minutes twice a week is 400 minutes. 53 times extra 5 minutes is 265 everyday times 7 days a week which is 1855.
3710+400+1855=5965 minutes
99 hours and 25 minutes
Bob sure loves his cows...
Answer:
Assuming you meant to write -2/3 instead of =2/3, the answer is 2x+3y= -12
Step-by-step explanation:
Answer:
The equations are:
![Hotdog = 2.50](https://tex.z-dn.net/?f=Hotdog%20%3D%202.50)
![Pretzel = 1.25](https://tex.z-dn.net/?f=Pretzel%20%3D%201.25)
Step-by-step explanation:
Let:
![H = hot\ dog](https://tex.z-dn.net/?f=H%20%3D%20hot%5C%20dog)
![P =Pretzel](https://tex.z-dn.net/?f=P%20%3DPretzel)
For Tina:
![4H + 3P = 13.75](https://tex.z-dn.net/?f=4H%20%2B%203P%20%3D%2013.75)
For Doug:
![2H + 5P = 11.25](https://tex.z-dn.net/?f=2H%20%2B%205P%20%3D%2011.25)
Solving for the price of both items:
We have:
--- (1)
--- (2)
Multiply (2) by 2
2 * (
)
-------------------
--- (3)
Subtract (3) from (1)
![4H + 3P = 13.75](https://tex.z-dn.net/?f=4H%20%2B%203P%20%3D%2013.75)
![4H + 10P = 22.50](https://tex.z-dn.net/?f=4H%20%2B%2010P%20%3D%2022.50)
----------------------
![4H - 4H + 3P - 10P = 13.75 - 22.50](https://tex.z-dn.net/?f=4H%20-%204H%20%2B%203P%20-%2010P%20%3D%2013.75%20-%2022.50)
![3P - 10P = 13.75 - 22.50](https://tex.z-dn.net/?f=3P%20-%2010P%20%3D%2013.75%20-%2022.50)
![-7P = -8.75](https://tex.z-dn.net/?f=-7P%20%3D%20-8.75)
Solve for P
![P = \frac{-8.75}{-7}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B-8.75%7D%7B-7%7D)
![P = 1.25](https://tex.z-dn.net/?f=P%20%3D%201.25)
Substitute 1.25 for P in (2)
![2H + 5P = 11.25](https://tex.z-dn.net/?f=2H%20%2B%205P%20%3D%2011.25)
![2H + 5 * 1.25 = 11.25](https://tex.z-dn.net/?f=2H%20%2B%205%20%2A%201.25%20%3D%2011.25)
![2H + 6.25 = 11.25](https://tex.z-dn.net/?f=2H%20%2B%206.25%20%3D%2011.25)
Collect Like Terms
![2H = 11.25-6.25](https://tex.z-dn.net/?f=2H%20%3D%2011.25-6.25)
![2H = 5](https://tex.z-dn.net/?f=2H%20%3D%205)
Solve for H
![H = \frac{5}{2}](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7B5%7D%7B2%7D)
![H = 2.50](https://tex.z-dn.net/?f=H%20%3D%202.50)