Determine whether the following function is continuous at x = a using the continuity checklist to justify your answers. g(x) = {x^2 - 16 if x notequalto 4/;a = 4 x - 4 if x = 4 9 Use the Intermediate Value Theorem to show that the equation x^5 + 7x + 5 = 0 has a solution in the interval (-1, 0). Find a solution to x^5 + 7x + 5 = 0 in (-1, 0) using a squareroot finder.

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Find an equation for the linear function which has slope -10 and x-intercept -7

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem