The graph of the piecewise function f(x) is shown. on a coordinate plane, a piecewise function has 2 lines. the first line has a closed circle at (1, 1) and goes down to an open circle at (3, negative 3). the second line has a closed circle at (3, negative 4) and continues horizontally to an open circle at (5, negative 4). what is the domain of f(x)?

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."

Find the equation of the line with slope =8 and passing through (6,53) write your equation in the form y=mx+b

(c) a vine called the mile-a-minute weed is known for growing at a very fast rate. it can grow up to 0.5 ft per day. how fast in inches per hour can the mile-a-minute weed grow up to? show your work using the correct conversion factors.