Answer:
![y=\frac{3}{2} x+1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x%2B1)
Step-by-step explanation:
![y=mx+b\\\\-8=\frac{3}{2} (-6)+b\\\\-8=-9+b\\\\b=1\\\\y=\frac{3}{2} x+1](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C%5C%5C-8%3D%5Cfrac%7B3%7D%7B2%7D%20%28-6%29%2Bb%5C%5C%5C%5C-8%3D-9%2Bb%5C%5C%5C%5Cb%3D1%5C%5C%5C%5Cy%3D%5Cfrac%7B3%7D%7B2%7D%20x%2B1)
Step-by-step explanation:
Let 3 litres of juice be divided into 5x, 3x and 4x parts.
![\therefore \: 5x + 3x + 4x = 3 \: litres \\ \therefore \: 12x = 3000 \: ml\\ \therefore \: x = \frac{3000}{12} \\ \therefore \: x = 250 \: ml \\ \therefore \: \\ 5x = 5 \times 250 = 1250 \: m = 1.25 \: l \\ 3x = 3\times 250 = 750 \: ml = 0.75 \: l\\ 4x = 4 \times 250 = 1000 \: ml = 1 \: l\\](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%205x%20%2B%203x%20%2B%204x%20%3D%203%20%5C%3A%20litres%20%5C%5C%20%20%5Ctherefore%20%5C%3A%2012x%20%3D%203000%20%5C%3A%20ml%5C%5C%20%5Ctherefore%20%5C%3A%20x%20%3D%20%20%5Cfrac%7B3000%7D%7B12%7D%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20x%20%3D%20%20250%20%5C%3A%20ml%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%5C%5C%20%205x%20%3D%205%20%5Ctimes%20250%20%3D%201250%20%5C%3A%20m%20%3D%201.25%20%5C%3A%20l%20%5C%5C%203x%20%3D%203%5Ctimes%20250%20%3D%20750%20%5C%3A%20ml%20%20%3D%200.75%20%5C%3A%20l%5C%5C%204x%20%3D%204%20%5Ctimes%20250%20%3D%201000%20%5C%3A%20ml%20%20%3D%201%20%5C%3A%20l%5C%5C%20)
Answer:
1) ![y=(x-1)^2+4](https://tex.z-dn.net/?f=y%3D%28x-1%29%5E2%2B4)
2) ![y=-2(x+1)^2-9](https://tex.z-dn.net/?f=y%3D-2%28x%2B1%29%5E2-9)
Step-by-step explanation:
The equation of the parabola in the vertex form is
![y=a(x-h)^2+k,](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E2%2Bk%2C)
where
is the vertex of the parabola.
1) Given:
![y= x^2-2x+5](https://tex.z-dn.net/?f=y%3D%20x%5E2-2x%2B5)
Rewrite it as
![y=x^2-2x+1+4\\ \\y=(x-1)^2+4](https://tex.z-dn.net/?f=y%3Dx%5E2-2x%2B1%2B4%5C%5C%20%5C%5Cy%3D%28x-1%29%5E2%2B4)
2) Given:
![y= -2x^2-4x-11](https://tex.z-dn.net/?f=y%3D%20-2x%5E2-4x-11)
Rewrite it as
![y=-2x^2-4x-2-9\\ \\y=-2(x^2+2x+1)-9\\ \\y=-2(x+1)^2-9](https://tex.z-dn.net/?f=y%3D-2x%5E2-4x-2-9%5C%5C%20%5C%5Cy%3D-2%28x%5E2%2B2x%2B1%29-9%5C%5C%20%5C%5Cy%3D-2%28x%2B1%29%5E2-9)
Answer:
what
Step-by-step explanation:
you did not provide an image or anything
I’m pretty sure its correct :)