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Math 20-1 lose one mark for no name > Name: SHOW ALL WORK!! Unit 7: Assignment - Linear-Quadratic Systems and inequalities Date: 1. Examine each system of equations and match it with a possible sketch of the system. You do not need to solve the systems to match them. D y=x+1 y=-x2+1 y=x'+1 y =x III y= x'+1 y=-x2+4 IV) y=x'+1 y = x+4 2. Given the quadratic function y=x +4 and the linear function y=x+b , determine all the possible values of b that would result in a system of equations with: a) two solutions b) exactly one solution c) no solution 3. The price, P, in dollars, per share, of a high-tech stock has fluctuated over a 10-year period according to the equation P=14+121-1, where t is time, in years. The price of a second high- tech stock has shown a steady increase during the same time period according to the the same. relationship P=2t+30. Algebraically determine for what values the two stock prices will be7. What I 4. Explain how you could determine if the given system of quadratic-quadratic equations has zer. one, two, or an infinite number of solutions without solving or using technology. y = (x-4)+2 y = -(x+3)2-1 5. Algebraically determine the solution(s) to each system of quadratic-quadratic equations. a) y= 2x2 +9x-5 y = 2x2 - 4x+8 b) y=12x2 +17x-5 y=-x2+30x-5 6. Write an inequality to describe each graph, given the function defining the boundary parabola. a b)zero, 7. What linear inequality is shown in the graph? 8. Sketch the graph of y