Um produtor artesanal de licores respeita as leis brasileiras e informa a quantidade de produto vendido de acordo com o Sistema Internacional de Unidades. Sua produção desse mês foi 362,5 dm³ de licor e será colocada em garrafas de 290mL. Quantas garrafas serão necessárias para engarrafar a produção?

1250 bottles

Explanation:

To solve this problem we have to  work through equivalence between different units.

First of all, we have to keep in mind that:

(1)

So, 1 milliliter is equal to 1 cubic centimetre.

Moreover, we also know that

(2)

In this problem, we have that the total volume of liquor is

First of all, we convert into cubic centimetre using (2):

And using (1) we convert into millilitres:

Now we know that each bottle can contain a volume of

Therefore, the number of bottles that can be filled is:

0.55x745.7j and a calculator

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 .