we know that
The equation in vertex form of a vertical parabola is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to the x-coordinate of the vertex
so
-----> equation of the axis of symmetry
In this problem we have
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
the vertex is the point 
therefore
<u>the answer is</u>
The axis of symmetry is
see the attached figure to better understand the problem
There were 199 trees that produced the harvest. 5 trees would produce 1050 oranges.
Selling tickets to the play would raise more money due to the fact that each ticket costs more money than the tickets in the table next to the problem. The tickets in the table cost $5, which is less than $6.25.
Answer:
the area of the curve y= f(x) = x between x = 5 and x = 10
Step-by-step explanation:
- Finding the area of the curve y = f(x) = x between x = 5 and x = 10
Using the Area formula
As the area of curve lies between x = 5 and x = 10
so
so the integral expression becomes
![A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cfrac%7Bx%5E%7B1%2B1%7D%7D%7B1%2B1%7D%5Cright%5D%5E%7B10%7D_5)
![=\left[\frac{x^2}{2}\right]^{10}_5](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cfrac%7Bx%5E2%7D%7B2%7D%5Cright%5D%5E%7B10%7D_5)
![=\frac{1}{2}\left[10^2-5^2\right]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B10%5E2-5%5E2%5Cright%5D)
Therefore, area of the curve y= f(x) = x between x = 5 and x = 10
The second one is your answer
