Amanufacturing company plans to progressively increase its production capacity over the next few quarters. (a quarter is a period of three months.) the increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. what is the minimum duration required for the company to reach a production capacity of 4,975 units?

a)4 quarters
b)5 quarters
c)6 quarters
d)7 quarters

Apackage of bacon holds 15 strips of bacon. the pancake house uses 17 packages of bacon in the morning and 21 packages in the afternoon. how many more strips were used in the afternoon than the morning?

Identify an equation in point slope form for the line perpendicular to y=3x+5 that passes through (4,-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."