Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1. (4 points)

Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4. (4 points)

Part C: How can you solve the equation 4x = 2x−1 graphically? (2 points)

(10 points)

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

The graph below represents which system of inequalities? a. y< -2x+6 y< (or equal to) x+2 b. y< (or equal to) -2x+6 y c. y< 2/3 x - 2 y> (or equal to) 2x +2 d. none of the above

15 what is the area of this figure? a: 28 yd sq b: 40 yd sq c: 52 yd sq d: 64 yd sq