Help pls, answer choices listed! what is the standard form of the quadratic function that has a vertex of (4,-2)and goes through the point ( 5,0)
A. y = 2x^2 - 16x + 30
B. y = 2x^2 - 16x + 32
C. y= 2 (x - 4)^2 - 2
D. y = 2x^2 - 8x - 2

What is the slope simplify your answer and write it as a proper fraction, improper fraction, or integer

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

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.