The function g, defined by g(x) = -5x^2+ 10x + 7.5 models the height of a golf ball on a cliff overlooking a pond (in feet), seconds after the golf ball leaves the ground. Use an algebraic strategy to get exact, simplified answers with units. For each question, show all work and explain how and/or why you know. 1. How high above the water is the cliff?

2. When does the golf ball hit the water?

3. At what time during its descent toward the water is the golf ball at the same height as the cliff?

4. When does the golf ball reach the maximum height?

5. What is the maximum height the golf ball reaches?​

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.