If you were in a canoe on a calm lake and you threw a heavy stone as far is you could out the canoe what would the canoe do

This is conservation of momentum. At the beginning the total momentum is zero. When you throw the stone you give the stone a positive momentum, which means you must have a negative momentum (when I say negative I mean in the opposite direction of the direction of the stone) so that the total momentum is still zero. You and the canoe will move in the opposite direction of which you threw the stone.

i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.

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 .