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The graph of f(x) = x2 − 6x − 16 is shown. Which of the following describes all solutions for f(x)?

(−2, 0), (0, −16), (3, −25), (8, 0)
(x, x2 − 6x − 16) for all real numbers
(−2, 0), (8, 0)
(x, y) for all real numbers

What is the vertex form of f(x) = x2 + 6x + 3

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).