A hiker moves across a mountain meadow that is 3 km wide in 40 minutes. What was her average velocity

1.25m/s

Explanation:

Velocity is defined as the change of displacement with respect to time. Mathematically, velocity = displacement/time

Given displacement = 3km and time = 40minutes

Converting km to meters and minuetes to seconds;

Since 1 km = 1000m

3 km = (3*1000)m

3 km = 3000m

Also 1minute = 60seconds

40 minutes = 60*40 = 2400seconds

velocity = displacement/time

Velocity (in m/s) = 3000/2400

Velocity (in m/s) = 30/24

Velocity (in m/s) = 5/4

Velocity (in m/s) = 1.25m/s

Hence, the average velocity of he hiker is 1.25m/s

and 1and 1

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .