Let b0, b1, b2, be defined by the formula bn = 4n, for every integer n ≥ 0. Show that this sequence satisfies the recurrence relation bk = 4bk − 1, for every integer k ≥ 1. Let k ≥ 1. Using the formula bk = 4k, write the expression for bk − 1. bk − 1 = By the recurrence relation, bk = · bk − 1. Substitute for bk − 1 and simplify this equation. bk = 4 · = Thus, this sequence satisfies the recurrence relation bk = 4bk − 1, for every integer k ≥ 1.

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

Cor d? ? me ? max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Choose the linear inequality that describes the graph. the gray area represents the shaded region. a: y ≤ –4x – 2 b: y > –4x – 2 c: y ≥ –4x – 2 d: y < 4x – 2