Find the first four terms of the binomial series for the given function.(1 + 9x)1/3

A. 1 - 3x + 27x2 - 45x3
B. 1 + 3x - 9x2 + 45x3
C. 1 + 3x + 9x2 + 27x3
D. 1 + 3x - 9x2 + 27x3


Answer: B

Mathematics

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Solve the problem.The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups.  The number of fatal vehicle crashes per 100 million miles, N, for drivers of age x can be modeled by the formula N = 0.012x2 - 1.18x + 31.26.Using the formula, what age group(s) are expected to be involved in 4 fatal crashes per 100 million miles driven? Use a calculator and round to the nearest year. How well does the formula model the trend in the actual data shown in the bar graph?

A. 37 year-olds and 61 year-olds; The formula models the trend in the data reasonably well. B. 27 year-olds and 71 year-olds; The formula does not accurately model the data for ages expected to be involved in 4 fatal crashes per 100 million miles driven. C. 75 year-olds; The formula models the trend in the data reasonably well. D. 24 year-olds ; The formula does not accurately model the data for ages expected to be involved in 4 fatal crashes per 100 million miles driven.

Mathematics

Provide an appropriate response.Identify which of the following properties apply to the graph of   I. The domain is all real numbers except odd multiples of .  II. The range is (-?, -1] ? [1, ?)  III. The equations of the vertical asymptotes are , where n is an integer.  IV. The function obtains a relative minimum at x =  + 2n?

where n is an integer. A. II and IV B. II, III, and IV C. III and IV D. I and II

Mathematics

The graph of a function f is given. Use the graph to answer the question.For what values of x is f(x) = 0?

A. -30, 35 B. -30, 35, 50 C. -50, -30, 35, 50 D. -30

Mathematics

Find the domain of the logarithmic function.f(x) = log5(x - 9)2

A. (-9, ?) B. (-?, 0) or (0, ?) C. (-?, 9) or (9, ?) D. (9, ?)

Mathematics