Warm-up: Day 3 1. Find the value of the discriminant, describe the roots of the quadratic. -b2-2b+3=0 2. Which expression is equivalent to (3x5+17x3-1)

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Warm-up: Day 3 1. Find the value of the discriminant, describe the roots of the quadratic. -b2-2b+3=0 2. Which expression is equivalent to (3x5+17x3-1) + (-2x5-6)? a) x5+17x3-7 c) 5x5+17x3+7 b) X5-11x3-1 d) -6x5+17x3+6

Homework Answers 2) x = -3, x = 8 4) 6) 7) 241, 2 real 8) -76, 2 imaginary 9) -87, 2 imaginary

Quadratic Inequalities and Applications Day 3

Recall: Graphing Linear Inequalities Example: y > 3x - 1

Graphing Quadratic Inequalities Use the same techniques as you have used to graph linear. A. STEPS Graph the boundary. Determine if it should be solid or dashed (> , <). Determine direction of shading. Shade the region that is true.

Example 1 Graph:

Example 2 Graph:

You Try! Graph: Graph:

Application Problems The amount of money that a freshman class fundraiser can raise can be modeled by the inequality y≤-2x2 + 16x – 24, where x represents the number of days into the sale and y represents the amount of money raised in hundreds. a) Graph b) What is the max? What does it represent? c) When will they start to raise money d) How many days should the fundraiser last? e) On which days will the sale make more than $400?

Quick Question: Do on a scratch sheet of paper 1. From the last unit or from the current unit, please write down one or two concepts that you feel you need to go over again. Please be specific. For example... Factoring trinomials Calculator steps for application problems PS. Make sure to put your name on it!