Please answer the following question including your steps:

13. The profit, P, of a video company, in thousands of dollars, is given by P= -5x + 550x - 5000, where x is the amount spent on advertising, in thousands of dollars. a) Determine the amount spent on advertising that will result in a profit of $0. In other words, determine the amount that must be spent on advertising in order for the company to break even. (5 marks) b) Describe the relationship between the solution to part (a) and the graph of the corresponding relation shown here. (1 mark) -11000 -10009 -9000 . 8000 . -7000 - Profit ($1000) - 6000 - -5000 . -4000 -3000. 2006 - -1000 - 20 40 60 80 100 120 x ($1000)14. A jet flew from Tokyo to Bangkok, a distance of 4800 km. On the return trip, the speed was decreased by 200 km/h. If the difference in the times of the flights was 2 hours, what was the jet's speed from Bangkok to Tokyo? (13 marks) 15. Determine the quadratic function that has the given roots and passes through the given point. Express each function in standard form. (10 marks: 5 marks each) a) x = 21v5 , (2, 10) b) x = ; and x =-4, (1,5) 16. a) Use the discriminant to determine the number of points of intersection of the line y = 3x + 5 and the quadratic functions f(x) = 3x - 2x - 4. (3 marks) b) Solve to find the points of intersection. (4 marks)