The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. the park offers half off all entry tickets during the off-peak season. the sandlers paid a total of $78 for 1 adult ticket and 2 child's tickets to the water park during the off-peak season. the following equation represents this situation, where x represents the regular price of an adult ticket:
78 = one-halfx + (x − 6)
what is the regular price of a child's ticket?
$50
$56
$75
$81
for a important assignment! : )

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."

The graph shown is the graph of which function?

What are the solutions of the system? solve by graphing. y = -x^2 -6x - 7 y = 2