A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed for 1 cup of water? StartFraction 4 carrots Over 2 cups of water EndFraction StartFraction 4 cups of water Over 2 carrots EndFraction StartFraction 2 carrots Over 4 cups of water EndFraction StartFraction 2 cups of water Over 4 carrots EndFraction

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

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."

What are the solutions of the system? solve by graphing. y = -x^2 -6x - 7 y = 2