A quadratic equation is written in four equivalent forms below. I. y = (x + 5)2 - 1
II. y = x2 + 10x + 24
III. y = (x + 4)(x + 6)
IV. y = x(x + 10) + 24

Which of the forms shown above would be the most useful if attempting to find the x-intercepts of the quadratic equation?
A.
II.
B.
I.
C.
IV.
D.
III.

The perimeter of a square is80-64y units. which expression can be used to show the side length of one side of the square?

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 is the expression in factored form? -x^2 + 3x + 28 a. (x-7)(x-4) b. -(x-7)(x+4) c. (x+4)(x+7) d. -(x-4)(x+7)