Sound waves cant travel through

a. an elastic material
b. a solid
c. a vacuum
d. a liquid

C. A vacuum

Explanation:

Sound waves require a medium to travel through. Such a medium could be solid, a liquid, or a gas. We all know that sound can travel through air, and if you've ever heard a sounds through a wall or underwater you'll have experienced sound travelling through a solid and a liquid.  vacum, however, is a lack of any particles, which means the sound waves have no medium to travel through. Therefore, sound waves are not able to travel through a vacuum, as there is nothing to travel through.  

an electric circuit

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 .