Which of the following statements is not always true ?
a. if a function contains the origin , then its inverse contains the origin.
b. if a function has 3 x-intercepts, then its inverse has 3 y-intercepts.
c. if a function contains no points in the fourth quadrant, then its inverse contains no points in the second quadrant.
d. if the slope of a linear function is less than 1, then the slope of its inverse is greater than 1.

Evaluate the given expression if m=45 |-3m|

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

Abird on top of a 200 ft bridge tower sees a man standing on the lower part of the bridge (which is 50 ft above the ground). the angle of depression from the bird is 26 ̊. how far is the man from the base of the bridge tower? with explanation and pictures .