A train traveled 300 miles in 5 hours. find its rate of speed in miles per hour.

60 miles per hour

Step-by-step explanation:

You divide 300 by 5 and you get 60. You always need to divide the upper part to the lower part to reach the distance in ONE UNIT OF TIME. There, you have 5 seconds, yet you need the distance in 1 second.

This all is assuming that the train moved at a constant speed, where

ACCELERATION = 0, which is pretty improbable for a train.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50