Answer:
The answer is 7/8
Step-by-step explanation:
12 divided by -4 equals-3 .
Answer:
A≈7238.23
Step-by-step explanation:
A=πr2
Area =π(48)2
Answer:
![\boxed{y=2x^2+4x-7}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D2x%5E2%2B4x-7%7D)
Step-by-step explanation:
Let the quadratic function be
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
We substitute
into the equation to obtain;
![9=a(-4)^2+b(-4)+c](https://tex.z-dn.net/?f=9%3Da%28-4%29%5E2%2Bb%28-4%29%2Bc)
![\Rightarrow 9=16a-4b+c---(1)](https://tex.z-dn.net/?f=%5CRightarrow%209%3D16a-4b%2Bc---%281%29)
We substitute
to obtain;
![-7=a(0)^2+b(0)^2+c](https://tex.z-dn.net/?f=-7%3Da%280%29%5E2%2Bb%280%29%5E2%2Bc)
![\Rightarrow c=-7---(2)](https://tex.z-dn.net/?f=%5CRightarrow%20c%3D-7---%282%29)
We finally substitute
to obtain;
![-1=a(1)^2+b(1)^2+c](https://tex.z-dn.net/?f=-1%3Da%281%29%5E2%2Bb%281%29%5E2%2Bc)
![\Rightarrow -1=a+b+c---(3)](https://tex.z-dn.net/?f=%5CRightarrow%20-1%3Da%2Bb%2Bc---%283%29)
We put equation (2) into equation (1) to get;
![9=16a-4b-7](https://tex.z-dn.net/?f=9%3D16a-4b-7)
![16a-4b=16](https://tex.z-dn.net/?f=16a-4b%3D16)
![\Rightarrow 4a-b=4---(4)](https://tex.z-dn.net/?f=%5CRightarrow%204a-b%3D4---%284%29)
![\Rightarrow -1=a+b-7](https://tex.z-dn.net/?f=%5CRightarrow%20-1%3Da%2Bb-7)
![\Rightarrow a+b=6---(5)](https://tex.z-dn.net/?f=%5CRightarrow%20a%2Bb%3D6---%285%29)
We add equation (4) and (5) to get;
![4a+a=6+4](https://tex.z-dn.net/?f=4a%2Ba%3D6%2B4)
![\Rightarrow 5a=10](https://tex.z-dn.net/?f=%5CRightarrow%205a%3D10)
![\Rightarrow a=2](https://tex.z-dn.net/?f=%5CRightarrow%20a%3D2)
We put
into equation (5) to get;
![2+b=6](https://tex.z-dn.net/?f=2%2Bb%3D6)
![\Rightarrow b=6-2](https://tex.z-dn.net/?f=%5CRightarrow%20b%3D6-2)
![\Rightarrow b=4](https://tex.z-dn.net/?f=%5CRightarrow%20b%3D4)
The reqiured quadratic function is
![y=2x^2+4x-7](https://tex.z-dn.net/?f=y%3D2x%5E2%2B4x-7)
10,171.07 pesos
To every US dollar, it equal 18.84 pesos.