x=1 is the day tickets go on sale.

Tickets=-0.2x^2+12x+11

use the quadratic equation to determine the last day that tickets will be sole. (Write your answer in terms of the number of days after ticket sales begin)

MY ANSWER: 60 days

Stuck on this portion:
will tickets peak or be at a low during the middle of the sale and how do you know?

If you try to solve the equation

-0.2x^2+12x+11 =0, to get the day when no tickets are sold, you get
x = -0.903 (which makes no sense) and 60.9
x= 60 will be the last day with positive sales. When x=61, the number of sales given by the formula is negative (-1.2). Therefore x=60 is the last day tickets are sold.