Keira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints used for each mix and connected them using a line segment, as shown in the graph. A line graph titled Color Mix, with Quantity of Blue Paint, in millimeters, on the x axis and Quantity of Red Paint, in millimeters, on the y axis. The x axis has a scale from 0 to 9 with an increment of 1. The y axis has a scale of 0 to 18 in increments of 2. A straight line connecting 3, 2 and 7, 12 is drawn. Which statement best describes the domain of the function represented in the graph? 3 ≤ x ≤ 12 3 ≤ x ≤ 7 2 ≤ x ≤ 12 2 ≤ x ≤ 7

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."

An internet company charges $8.95 per month for the first 3 months that it hosts your web site. then the company charges $11.95 per month for web hosting. how much money, in dollars, will the company charge for 8 months of web hosting?

Solve the following pair of equations for x and y: ax/b_ by /a= a +b; ax - by = 2ab