A slow freight train chugs along a straight track. The distance it has traveled after x hours is given by a function f(x). An engineer is walking along the top of the box cars at the rate of 3 mi/hr in the same direction as the train is moving. Write a formula for the speed of the engineer relative to the ground in terms of x and f.

Step-by-step explanation:

A slow freight train chugs along a straight track. The distance it has traveled after x hours is given by a function f(x)

The speed of the train is the derivative of the distance traveled f(x)

The speed of the train is f'(x)

An engineer is walking along the top of the box cars at the rate of 3 mi/hr in the same direction as the train is moving.

3 mi/hr is the speed relative to the train

he speed of the engineer  is the speed of the train plus the rate in same direction

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

x = 12

y = 1

for the points!