Reyna runs a textile company that manufactures t-shirts. the profit, p, made by the company is modeled by the function p+s squared+9s-142, where s is the number of t-shirts sold. how many t-shirts should be sold to earn a profit of more than $2000.

Iwill assume you meant:

p(s)=s^2+9s-142

and we want to know when p(s)> 2000 so

s^2+9s-142> 2000

s^2+9s> 2142

s^2+9s+20.25> 2142+20.25

(s+4.5)^2> 2162.25

s+4.5> ±√2162.25

s> -4.5±√2162.25, since we know s> 0

s> -4.5+√2162.25

s> 42

so the number of t-shirts sold must be more than 42 to make a profit of more than $2000