55 points for an instant correct answer : ) consider the function f(x)= part (a): at which value of x will the function not have a solution? explain your answer. part (b): if g(x) is a vertical shift of 4 units f(x), write the function of g(x). how does the graph of g(x) compare to the graph of f(x)? explain the function you wrote. part (c): what is the value of x when g(x)=8? show your work. explain all the answers : )

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."

What is the measure of the smallest angle in the diagram? 15 29 32 45

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50. write an inequality to determine the number of chores, c, janie could do to have enough money to buy the cd.