The ratio of the number of chicken eggs to the number of duck eggs Farmer Li had on Monday was 3 : 4. While putting the eggs into a carton, Farmer Li broke 12 chicken eggs and the ratio of the number of chicken eggs to the number of duck eggs became 1 : 2. How many chicken eggs did Farmer Li have at first?

How many real and imaginary solutions does the equation x^2-3x=-2x-7 have?

Given f(x)=2x^2-8x+6 and g(x)=3x-1 find f(x) +g(x) a. 2x^2+5x+5 b.2x^2-11x+7 c. 2x^2-5x+5 d.2x^2-5x-5

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."