What is the focus of the parabola? y=−1/4x2−x+3

 Focus = (-2, 3)

Step-by-step explanation:

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

Then finding the maximum by inputting x = -2 into the given equation:

The vertex is: (-2, 4)

Now let's find p, which is the distance from the vertex to the focus:

The vertex is (-2, 4) and p = -1

The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

yes they are the same