6. Using elimination. nd and identify which of the values of it below requt in real solutions to the following system. Select all that apply. {w+w=a 533+yi=3 D o = in L} a = 15 D r: -.- 2!] G r: -- 25 7". Kristin is standing 20 feetto the left of a house and throws a ball so that it lands on the roof. Let the rash of the coordinate system he the ground and the y-axis he the side of the house. The roof slopes at a 45 angle ranging in height from 15 feet to 3o feet, and the trajectory of the hall is given by the equation y .- 24. s + n. 13;: -- a. on\". Using graphing, determine which of the following best represents the height of the ball when it hits the roof. 0 21 feet 0 22 feet 0 23 feet 0 24 feet 8. Which of the inequalities below correctly matches the following graph? 15. Which of the following inequalities could combine with the inequality y <_: m + s to form a system of two inequalities with no solutions? select all that apply. [:i y s: .'1: 1 [:1 3-:- :i.' [:l <: z 5 u :> a: + 5 16. Tony wants to plant at least 4o aeres of eorn and at least 5o aeres of soybeans. He wants no more than 20o aeres of corn and soybeans. If e is the number of aeres of eorn and s is the number of aeres of soybeans, which of the following represents a eorreet eonstraint equation for the total number of aeres planted? C] c + a s: zoo C." e + s E 200 Cle+53120 CJ 4o.:+ s a sun D 4a:+ 5119 3 sun D as: + 5119 3:- sun 17. Which of the following ordered pairs of aeres of eorn and soybeans planted, (c, s}, will satisfy the eonstraints of the previous problem? Select all that apply. [I] {4:}, 4o} CI (so. so]. [I] (so. 1131]} [:1 {140. TU} 20. What is the y value that maximizes the following objective function given the set of constraints? Objective Function: 2 = 5:: + By Constraints: u g :1: :1 4o sys :c-i-Eyi Clo Om Dan Dan 21. In the preceeding problem, what is the maximum value of the objective function? 22. 'What is the y value that minimizes the following objective function given the set of constraints? Objective Function: 2 = 5:1: + 43; Constraints: :1: :3 a m+5y35 5:c+4y3_>1l] 2+2y22 Do {31 (32 Ge 23. In the preceeding problem, what is the minimum value of the objective function? 24. A group of friends has $96 to spend on pizza and soda, where each pizza costs $9 and each bottle of soda costs $3. If the}.r want the number of pizzas, P, and the number of sodas, S, to satisfy the constraint 1. us a P g 1. as, what is the largest number of items they can purchase? O 14 O 15 CJ 1s 01