Which equations have the variable term in the equation -6 + 2x = 6x - 9 isolated to one side of the equals sign, and the constant isolated to the other side? Select all that apply, D-6 = 4x-9 O 3-4x=0 O4x = -3 O 3 = 4x O2= 6x-3

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.

If f(x) = -5x + 1 and g(x) = x3, what is (gºf)(0)? enter the correct answer