Determine if the following the statement is always, sometimes, or never true. (Write an argument that can be used to defend your solution.)
If a triangle and a parallelogram have the same base and height, the area of the triangle will always be greater.

When graphing the two equations, the point of intersection is the solution. *by the way the top question is an example of the graph* to graph each equation, apply the slope intercept form, y = mx + b *find solution for all* equations: 1) y = 5x - 2 y = x + 6 2) y = 2x - 4 y = x +2 3) y = x + 2 y = -x +2 now for questions 4-6, check the solution too 4) y = 3x + 2 y = 3x - 4 m= m= b= b= 5) y = 2x + 1 2y = 4x + 2 m= m= b= b= 6) y = x - 3 y = -x +3 m= m= b= b= *dont have to check solution for 7-9* 7) y = 5x + 1 y = x - 3 8) y = x - 5 y = 3x + 1 9) y = 3x - 1 y = 3x - 4

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

Suppose a store sells an average of 80 cases of soda per day. assume that each case contains 24 cans of soda and that the store is open 10 hours per day. find the average number of soda that the store sells per hour.