An event sold $608 worth of tickets adult tickets cost $11 and children's tickets $6. if 68 tickets were sold how many were adult tickets and how many were children's tickets?

Step-by-step explanation:

Let "a" represent the number of adult tickets sold. (We like to let the variable represent the higher-value item.)

Total sales was then ...

  11a +6(68-a) = 608

  5a + 408 = 608 . . . . . eliminate parentheses

  5a = 200 . . . . . . . . . . .subtract 408

  a = 40 . . . . . . . . . . . . . divide by 5

40 adult tickets were sold, and 28 children's tickets were sold.

we have

Convert to vertex form

we know that

the equation of a vertical parabola in vertex form is equal to

where

(h,k) is the vertex

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

the answer is

The y-value of the vertex is