The quadratic function y=x2+2x−8 represents a dolphin's dive as it swims towards/away your research vessel. The x-axis represents the distance the dolphin is from the boat and the negative y-axis represents the depth of the dolphin's dive. Factor the quadratic to find the distance the dolphin is from your boat when it resurfaces.

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

Write the expression in complete factored form. 5n_(c - 3) - n(c - 3) =

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