Data plays a crucial role in decision-making because it can reveal relationships between different quantities. We often use linear equations to model these relationships and make predictions about the data. Think about a situation when you needed to analyze data. What types of trends did you find in the data? How did noticing the trends help you make a decision related to the situation?

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.

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."

9/10 divide by -3/15 as a mixed number