Suppose that g(x) = f(x-6) - 3. which statement best compares the graph of
g(x) with the graph of ax)?
o
a. the graph of g(x) is the graph of ax) shifted 6 units to the right
and 3 units down,
o
b. the graph of g(x) is the graph of fx) shifted 6 units to the left and
3 units down.
o
c. the graph of g(x) is the graph of ax) shifted 6 units to the right
and 3 units up.
o
d. the graph of gx) is the graph of fx) shifted 6 units to the left and
3 units up.

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

Icould really use some with this question.

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.