Answer:
Option B. The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
The correct quadratic equation is
![y=-3x^{2}+12x-33](https://tex.z-dn.net/?f=y%3D-3x%5E%7B2%7D%2B12x-33)
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
Convert to vertex form
Factor -3
![y=-3(x^{2}-4x)-33](https://tex.z-dn.net/?f=y%3D-3%28x%5E%7B2%7D-4x%29-33)
Complete the square
![y=-3(x^{2}-4x+2^2)-33+12](https://tex.z-dn.net/?f=y%3D-3%28x%5E%7B2%7D-4x%2B2%5E2%29-33%2B12)
![y=-3(x^{2}-4x+4)-21](https://tex.z-dn.net/?f=y%3D-3%28x%5E%7B2%7D-4x%2B4%29-21)
Rewrite as perfect squares
![y=-3(x-2)^{2}-21](https://tex.z-dn.net/?f=y%3D-3%28x-2%29%5E%7B2%7D-21)
The vertex is the point (2,-21)
therefore
The equation has a maximum value with a y-coordinate of -21
Let William be x years old.
Thomas = (4 + x) years
In five years,
William = (x + 5) years
Thomas = 4 + x + 5 = (9 + x) years
Given, in five years sum of their ages is 24.
x + 5 + 9 + x = 24
2x + 14 = 24
2x = 24 - 14
2x = 10
x =
![\frac{10}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B2%7D%20)
x = 5
Hence, William is 5 years old and Thomas is 9 years old.
A line passes throught the origin (-1, 1) and (4, n). Find the value of n. enter the correct answer in the box. I'd say (4, -2)
If I'm wrong sorry. If I'm correct May I Have Brainliest? <3
Do u know the area of a circle
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The answer it is b because that is the right answer