15. each ? below represents a factor between 1 and 9. draw lines to match

each fact on the left with a pattern for its products on the right.

? xo

o in the ones place

? x1

o or 5 in the ones place

? x 2

0,2,4,6, or 8 in the ones place

? x 5

the other factor in the ones place

? x9

1 less than the unknown factor in the tens place

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?

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."

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)