1.) ball bearings are placed between skateboard wheels and other moving parts because a) static friction is easier to overcome than sliding friction b) fluid friction is easier to overcome than rolling friction c) rolling friction is easier to overcome than sliding friction d) sliding friction is easier to overcome than rolling friction

the correct choice is

C) rolling friction is easier to overcome than sliding friction

sliding friction acts when two surfaces are in contact with each and they slide over each other. rolling friction acts when one surface rolls over the other surface. in this situation , are in contact is small  and circular which makes the rolling friction smaller as compared to the sliding friction.

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 .