Question #2
Erica will have to work for 14 hours in order to buy her sneakers.
How to solve:
You subtract $31 from $150 which equals to $119
You multiply 8.50 (which is the amount of money she gets paid every hour) by the answers they gave you.
8.50 multiplied by 14 is 199
Erica had to work 14 hours to make $199
Your answer is D) 14
Answer:
![(x,y) = (-1,0)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C0%29)
Step-by-step explanation:
Given
![(x+1)^2 = -8(y-2)](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%20%3D%20-8%28y-2%29)
Required
The coordinates of the focus
First, write the expression in form of: ![y=a(x-h)^2+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E2%2Bk)
![(x+1)^2 = -8(y-2)](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%20%3D%20-8%28y-2%29)
![(x+1)^2 = -8y + 16](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%20%3D%20-8y%20%2B%2016)
![-8y + 16 = (x+1)^2](https://tex.z-dn.net/?f=-8y%20%2B%2016%20%3D%20%28x%2B1%29%5E2)
Subtract 16 from both sides
![-8y = (x+1)^2 - 16](https://tex.z-dn.net/?f=-8y%20%3D%20%28x%2B1%29%5E2%20-%2016)
Divide through by -8
![y = -\frac{1}{8}(x+1)^2 - \frac{16}{-8}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B8%7D%28x%2B1%29%5E2%20-%20%5Cfrac%7B16%7D%7B-8%7D)
![y = -\frac{1}{8}(x+1)^2 +2](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B8%7D%28x%2B1%29%5E2%20%2B2)
In this case:
![a = -\frac{1}{8}](https://tex.z-dn.net/?f=a%20%3D%20-%5Cfrac%7B1%7D%7B8%7D)
![h = -1](https://tex.z-dn.net/?f=h%20%3D%20-1)
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
The focus of the parabola is:
![(x,y) = (h,k + \frac{1}{4a})](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28h%2Ck%20%2B%20%5Cfrac%7B1%7D%7B4a%7D%29)
This gives:
![(x,y) = (-1,2 + \frac{1}{4*-\frac{1}{8}})](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C2%20%2B%20%5Cfrac%7B1%7D%7B4%2A-%5Cfrac%7B1%7D%7B8%7D%7D%29)
![(x,y) = (-1,2 + \frac{1}{-\frac{1}{2}})](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C2%20%2B%20%5Cfrac%7B1%7D%7B-%5Cfrac%7B1%7D%7B2%7D%7D%29)
![(x,y) = (-1,2 -2)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C2%20%20-2%29)
![(x,y) = (-1,0)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-1%2C0%29)
Answer:
-6°
Step-by-step explanation:
x(original temperature)
t (time)
r (rate)
original x-(r×t)
Q) x-(2×-3)
=x-6
Answer:
16
Step-by-step explanation:
simplify
2(9) - 2
18 - 2
16
Answer:
5x=0
<em>X=0</em><em> </em><em>only</em><em> </em><em>one</em><em> </em><em>sol</em><em>ution</em>