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)
Answer:
-0.55n - 0.05
Step-by-step explanation:
You can start by distributing:
(0.25n - 0.3) - (0.8n - 0.25)
0.25n - 0.3 - 0.8n + 0.25
Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)
-0.55n - 0.05
I only know the answers for 10 and 11
10. 903.6 divided by 25.1 = 36 Estimate: 36
11. 760.38 divided by 0.38 = 2,001 Estimate: 2,000
Step-by-step explanation:
First you find out the area of the square.
Then you find the area of the circle.
After this you add the Two area together.
12 action films are shown.
This is because if the ratio is 1:2, that means that exactly half of the total amount of movies are action. Thus, to evaluate this problem, you would find half of 24.