Consider the geometric sequence -2, 10, 50, 250, (a) What is the common ratio m?
(b) What is the explicit rule for the sequence?
(c) Show how to use the rule from part (b) to determine the 11th term of the sequence.

Organic apples are on special for $1.50 per pound. does total cost vary inversely or directly with the number of pounds purchased? find the cost of 3.4 pounds of apples. a. inversely: $5.10 b. directly; $5.10 c. inversely: $2.27 d. directly; $2.27

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x