A quadratic equation is written in four equivalent forms below. I. y = (x - 8)(x - 4)
II. y = x(x - 12) + 32
III. y = (x - 6)2 - 4
IV. y = x2 - 12x + 32

Which of the forms shown above would be the most useful if attempting to find the x-intercepts of the quadratic equation?

Barry wants to open a checking account. he wants online services, and a debit card. he is looking at the following tables of fees from his employer's credit union, eecu, and a local bank, e-town bank: based upon past experience, barry expects no overdrafts. he expects no 2nd copies of statements. barry estimates that he will use network atms about 5 times a month with either bank. barry decides in the end to choose eecu. assuming that both banks provide the necessary services equally well, and based upon the tables of fees given above, how much can barry reasonably expect to save annually by choosing eecu in this case over e-town bank? a. $72 b. $78 c. $144 d. $24 select the best answer from the choices provided a b c d

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.

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.