Answer:
x= -2/3
Step-by-step explanation:
The best way to solve this problem is through completing the square so
![y=-6-4x-3x^2\\y=-3x^2-4x-6\\y=-3(x^2+\frac{4}{3} x)-6\\y=-3(x^2+\frac{4}{3} x+\frac{4}{9} -\frac{4}{9})-6\\y=-3(x^2+\frac{4}{3} x+\frac{4}{9})-6+\frac{4}{3} \\y=-3(x+\frac{2}{3} )^{2} -\frac{14}{3} \\](https://tex.z-dn.net/?f=y%3D-6-4x-3x%5E2%5C%5Cy%3D-3x%5E2-4x-6%5C%5Cy%3D-3%28x%5E2%2B%5Cfrac%7B4%7D%7B3%7D%20x%29-6%5C%5Cy%3D-3%28x%5E2%2B%5Cfrac%7B4%7D%7B3%7D%20x%2B%5Cfrac%7B4%7D%7B9%7D%20-%5Cfrac%7B4%7D%7B9%7D%29-6%5C%5Cy%3D-3%28x%5E2%2B%5Cfrac%7B4%7D%7B3%7D%20x%2B%5Cfrac%7B4%7D%7B9%7D%29-6%2B%5Cfrac%7B4%7D%7B3%7D%20%5C%5Cy%3D-3%28x%2B%5Cfrac%7B2%7D%7B3%7D%20%29%5E%7B2%7D%20-%5Cfrac%7B14%7D%7B3%7D%20%5C%5C)
Vertex is at
![(-\frac{2}{3} ,-\frac{14}{3})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B2%7D%7B3%7D%20%2C-%5Cfrac%7B14%7D%7B3%7D%29)
Axis of symytry is x= -2/3
For the first red ball: 5/(5+3+4) = 5/12
For the second red ball 4/(4+3+4) = 4/11
(5/12) * (4/11) = 5/33
Answer:
139/100
Step-by-step explanation:
The vertex form equation is y = a(x-h)^2+k
Lets substitute our given information.
y = a(x-1)^2+5
Now, lets put in the coordinate it needs to pass through.
8 = a(2-1)^2 + 5
8 = a + 5
a = 3
Now, lets make the equation now that we know a.
y = 3(x-1)^2+5
Hope this helps!