Suppose f ( x ) = 13 x + 8.5 . Write an expression in terms of x and h that represents the average rate of change of f over any interval of length h . [That is, over any interval ( x , x + h ) .] Simplify your answer as much as possible.

One card is dealt from a 52 card deck. find the probability that the dealt card is a 4 or a black 7

20 points 1. your friend, taylor, missed class today and needs some identifying solutions to systems. explain to taylor how to find the solution(s) of any system using its graph. 2. taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)=2x+1 g(x)=2x^2+1

What is the radius of the cone in the diagram? round your answer to the nearest whole number