Answer:
Molly paid for each song $1.5
Step-by-step explanation:
Let
x ------> amount that Molly paid for each song
we know that
The amount that Molly paid for each song multiplied by 8 is equal to the gift card value
so
The linear equation that represent this problem is
![8x=12](https://tex.z-dn.net/?f=8x%3D12)
Solve for x
Divide by 8 both sides
![x=12/8](https://tex.z-dn.net/?f=x%3D12%2F8)
![x=\$1.5](https://tex.z-dn.net/?f=x%3D%5C%241.5)
Molly paid for each song $1.5
Answer:
45°
Step-by-step explanation:
If we consider a full rotation to be 360°, we can simply divide 360 by 8 to find 1/8 of a full rotation.
360 ÷ 8 = 45
1/8 of a full rotation is 45°
Answer:
![y=-2\,(x+3)^2-3](https://tex.z-dn.net/?f=y%3D-2%5C%2C%28x%2B3%29%5E2-3)
Step-by-step explanation:
Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex
in the expression:
![y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v](https://tex.z-dn.net/?f=y-y_v%3Da%5C%2C%28x-x_v%29%5E2%5C%5Cy%3Da%5C%2C%28x-x_v%29%5E2%2By_v)
we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter
:
![y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2](https://tex.z-dn.net/?f=y%3Da%5C%2C%28x-x_v%29%5E2%2By_v%5C%5Cy%3Da%5C%2C%28x%2B3%29%5E2%2B%28-3%29%5C%5Cy%3Da%5C%2C%28x%2B3%29%5E2-3%5C%5C-5%3Da%5C%2C%28-2%2B3%29%5E2-3%5C%5C-5%3Da%5C%2C%281%29-3%5C%5Ca%3D-5%2B3%5C%5Ca%3D-2)
So, now we can write the full expression for the parabola:
![y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3](https://tex.z-dn.net/?f=y%3Da%5C%2C%28x%2B3%29%5E2-3%5C%5Cy%3D-2%5C%2C%28x%2B3%29%5E2-3)
The answer to the question is 0
Answer:
0.04306220095
Step-by-step explanation:
0.04306220095