The function f is defined for all real numbers x by f (x) = ax^2 + bx + c, where a , b , and c are constants and a is negative. In the xy-plane, the x-coordinate of the vertex of the parabola y = f (x) is −1. If t is a number for which f (t) > f (0), which of the following must be true?

For which of the following counts would a binomial probability model not be reasonable? a)the number of people in a classroom born in januaryb) the number of people in a classroom with red hair c) the number of people admitted to a hospital in a day with a particular disease d) the number of heart beats in a one-minute perio.

Find the slope and the y-intercept if there's one and the equation of the line given these two points( 3, 2) and( 3, -4)

Maren is buying carpet for her rectangular living room. the room is 4.8 yards wide and 5.2 yards long. how much carpet does she need to buy? enter your answer as a decimal in the box. yd2