Point C is between A and B on AB. Use the given information to write an equation in terms of x. Then solve the equation to find x, AC, CB, and AB.
AC = 3x + 16
BC = 10
AB = 16x
AC = 2x + 5
CB = 5x + 15
AB = 27x
X =
X=
AC =
AC =
BC =
BC =
AB =
AB =

The step function g(x) is defined as shown.what is the range of g(x)? ***answer choices in picture.

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."

For f(x) = 3x+1 and g(x) = x2 - 6, find (g/f)(x)