Select all statements that are true about the linear equation.
y=−2x+4
the point (1, 2) lies on the the graph of the equation.
the graph of the equation is the set of all points on the coordinate plane.
the graph of the equation is the set of points that are solutions to the equation.
the point (0, 2) lies on the graph of the equation.
the equation 2x+y=4 is represented by the same graph.

These tables represent a quadratic function with a vertex at (0, -1). what is the average rate of change for the interval from x = 9 to x = 10?

Select the conic section that represents the equation. 3x2 + 3y2 -2x + 4 = 0

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.