What force prevents a machine from having 100% efficiency

Friction force

losses

wear and tear

Explanation:

There are many factors which prevent a machine from its 100% efficiency some of them are:- Friction force, and other loses, wear and tear. Efficiency of any device is the ratio of input it takes to the output it produce. 100% efficiency means input equals to output and losses are zero.

this allows people to make the best decision or pursue the best option. when alternatives are weighed using their advantages and disadvantages, the option whose disadvantages outweigh the advantages (based on a qualitative or quantitative analysis) are shunned while those whose advantages outweigh their disadvantages are pursued.  

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 .