the amount of men in recital is 3 because it says men first in the answer when doing ratios always first word is the first number
Answer:
Equation of the axis of symmetry is: x = 3
Step-by-step explanation:
The equation
![y=2x^2-12x+21](https://tex.z-dn.net/?f=y%3D2x%5E2-12x%2B21)
is the equation of a parabola, of the form
whose vertex is located at the x-coordinate:
![x_{vertex}=\frac{-b}{2\,a}](https://tex.z-dn.net/?f=x_%7Bvertex%7D%3D%5Cfrac%7B-b%7D%7B2%5C%2Ca%7D)
Then, for our case the x position of the given parabola, is:
![x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{12}{2\,(2)} \\x_{vertex}=3](https://tex.z-dn.net/?f=x_%7Bvertex%7D%3D%5Cfrac%7B-b%7D%7B2%5C%2Ca%7D%20%5C%5Cx_%7Bvertex%7D%3D%5Cfrac%7B12%7D%7B2%5C%2C%282%29%7D%20%5C%5Cx_%7Bvertex%7D%3D3)
Then the equation of the axis of symmetry, which is a vertical line that goes through the vertex, would be given by:
x = 3
(x+b/2a)^2-(b^2-4ac)/2a=0
Step 2:
Re-write the expression:
(x+b/2a)^2=(b^2-4ac)/4a^2
Step 3:
get the square root of both sides:
x+b/2a=sqrt[(b^2-4ac)/4a^2]
Step 4:
Simplifying we get:
x+b/2a=sqrt[b^2-4ac]/2a
Step 5
Make x the subject:
x=-b/2a+/-sqrt[b^2-4ac]/2a
Simply put this just means add the like terms together.
f(x) + g(x) = 4x^2 - 5x +7 + 3x^2 - 2x + 8
f(x) + g(x) = 7x^2 - 7x + 15. Don't go any further.