10 college algebra questions functions graphing imaginary numbers quadratics domain asymptotes etc

Need back within 3 days preferably, NEAT handwriting please. Show work.

10 College Algebra questions: functions; graphing; imaginary numbers; quadratics; domain; asymptotes; etc.

The following are examples:

(4+3i)(2-5i)=

Suppose the profit from producing and selling x toys is given by

P(x)=-0.001x^2+35x+155

  • What is the company profit after selling 100 toys
  • How many toys should be made daily in order to maximize the company’s profit?

Use the quadratic formula to find the exact solutions and simplify as much as possible:

x^2+13=5x

Solve and write your answer in interval notation:

x^2<-3x+4