You stand on a pier watching water waves and see 10.9 waves pass by in a time of 28 seconds. What is the frequency of the water waves?

0.4Hz

Explanation:

Given parameters:

   Number of waves  = 10.9waves

   Time taken  = 28s

Unknown:

Frequency of water waves = ?

Solution:

The frequency of a wave is the number of waves that passes through a point per unit of time.

  Frequency  =

  Insert parameters and solve;

         Frequency  =   = 0.4Hz

multiple

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 .