A)Determine the average rate of change over the interval x€ [1,5] of the function y= 3x + 1. B) regardless of the interval what will the average rate of change or instantaneous rate of change be for the function y=3x+1? Expand your answer to include linear functions in general

Need solving this second acceleration problem.

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.