Determine whether y varies directly with x. if so, find the constant of variation and write the equation.

Constant of variation = -6.  

Step-by-step explanation:      

We have been given a graph and we are asked to determine whether y varies directly with x.

Since we know that directly variation means that when x increases, y increases by the same factor and equation represents the relation between direct variation, where is k is constant of variation.

We can see from our given graph that as x is increasing y is decreasing, therefore, y does not vary directly with x.

As y decreases when x increases, so y varies inversely with x and the equation of inverse variation is of the form , where k is a constant of variation.  

Let us find constant of variation using point (-2,3) for our given inversely proportional equation.

Multiplying both sides of our equation by -2 we will get,

Therefore, the constant of variation is -6.

Let us substitute in inverse proportion to get our equation.

Therefore, the equation represents the given relation in the graph.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights