Sodium chloride and calcium carbonate combine to form sodium carbonate and calcium chloride in the reversible reaction. 2NaCl + CaCO3 ⇌ Na2CO3 + CaCl2

Which statement about the reaction is necessarily correct?

1. The reaction will continue until the sodium chloride is used up.
2. The rate at which calcium chloride is equal to the rate at which sodium chloride is produced.
3. Both calcium carbonate and sodium carbonate are being produced.
4. The reaction is moving only from left to right.

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 .

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y