The equations x + y = 4 and y - X-Z X -3 are represented in the graph. -10 -9 -8 -7 6 -5 -4 -3 -2 1 2 3 4 5 Determine the solution(s) to the system of equations. (3 points) (1, 3) and (5, -1) O (1, 3) and (-5, -1) O (-1, -3) and (5, -1) (1, -3) and (-5, -1)An ice cube is freezing in such a way that the side length s, in inches, is s(t) - - +4, where t is in hours. The surface area of the ice cube is the function A(s) = 6s Part A: Write an equation that gives the volume at t hours after freezing begins. (2 points) Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points) Part C: After how many hours will the surface area equal 294 square inches? Show all necessary calculations, and check for extraneous solutions. (4 points)\fA railroad's track can be determined using the following graph. - N W 4 -10 -9 8 -7 -6 -5 -4 -3 - 2 3 4 5 6 7 8 9 10 Several different roadways are in the same region as the railroad. Part A: A highway's path can be found using the equation 2x - 3y = 21. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the highway, and explain completely. (5 points) Part B: A turnpike's route is determined by the equation y = - x2. Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary work. (5 points)3. (02.02 MC) How many solutions does the system of equations x - y = -4 and y - 2x +3 -2 have? (3 points) O Infinitely many Oo O 1 O 22. (02.02 MC) The elimination method was used to solve the following system of equations: X - 8y = 80 5x - 2y = -18 Which of the following is the correct y-coordinate of the solution? (3 points) O -11 O -8 O 118. (02.03 MC) The volume of a rectangular prism box can be represented by the function V(x) = 2x - 7x-+ 3x. If the height of the box is x cm, which of the following can represent the length and width of the container? (3 points) 2x + 1 and x + 3 2x + 1 and x - 3 2x - 1 and x + 3 2x - 1 and x - 310. (02.04 MC) Given the following table with selected values of the functions f (x) and g(x), determine f (g(2)) - g(f (-1)). (3 points) X 5 2 4 f (x) 21 g(x) -10 14 -7 -5 -21. (02.01 LC) g() 10 f (x) -10 -9 -8 -7 -5 - X 34 5 6 7 8 9 10 The graphs of ((x) = =_ and g(x) = -log3(x + 3) + 1 have which of the following features in common? (3 points) x-Intercept Vertical asymptote Range End behavior5. (02.03 MC) Given f (x) = x- + 6x + 8 and g(x) = x3 + 2x2- x - 2, find the domain of H.). (3 points) (ER x= -2, -1, 1} O ( ER| x = -1,1) OVER x: -4) O (E R)6. (02.03 MC) Given various values of the linear functions f (x) and g(x in the table, determine the y-intercept of (f - g) (x). (3 points) X -6 4 f (X) 1-36 -26 -17 9 14 g(x) 15 17 5 -3 -5 O (0.9) (0, 3) (0, -3) O (0 -9)7. (02.03 MC) The Scooter Company manufactures and sells electric scooters. Each scooter cost $200 to produce, and the company has a fixed cost of $1,500. The Scooter Company earns a total revenue that can be determined by the function R(x) = 300x - 3x2, where x represents each electric scooter sold. Which of the following functions represents the Scooter Company's total profit? (3 points) -600x3 - 4,500x2 + 60,000x + 450,000 O -3x2 - 200x - 1,500 -3x2 + 200x - 1,200 -3x2+100x - 1,500