3) Here is a recursive function for sequence f: f(1)=23,f(n)=f(n−1)−7. The explicit formula for the term is f(n)=23−7(n−1). a. Explain how you know that these definitions represent the same sequence. b. Select a definition to calculate f(20), and explain why you chose it.

George is folding a piece of paper to make an origami figure. each time he folds the paper, the thickness of the paper is doubled. the paper starts out flat, with a thickness of 1 millimeter. a. write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. explain how you came up with your ordered pairs. b. is this relation a function? explain why or why not using the ordered pairs you came up with in part a.

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered

In which direction does the left side of the graph of this function point? f(x) = 3x3 - x2 + 4x - 2