What is the mechanical advantage of a pencil sharpener made from a wheel and axle with a mechanical advantage of 3 and a wedge with a mechanical advantage of 4?

3×4= 12

Explanation:

Mechanical Advantage( M.A.) in a simple machine is defined as the ratio of the force that performs the useful work of a machine to the force that is applied to the machine.

Mechanical Advantage of Compound Machine = Product of mechanical advantages of the simple machines that it consists of, that is the mechanical advantage of wheel and axle multipled by the mechanical advantage of wedge.

Therefore,

M.A. wheel and axle = 3

M.A. wedge= 4

M.A. pencil sharpener= 12

Note: Mechanical Advantage has no unit.

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 .