Activity 1.4 You Complete Me! a. Find the missing value to make the following expressions a perfect square trinomial.
1. a2 − 2a + ___ 4. p2 − 5p + ___

2. b2 − 6b + ___ 5. x2 -2%3x + ___

3. m2 − 18m + ___
b. Solve for the following quadratic equations by completing the square.
1. x2 − 2x = 3 4. 2x2 − 9x − 5 = 0

2. x2 − 6x + 7 = 0 5. 3(x + 1)2 = x + 11

3. x2 −5x + 4 = 0

If set d is not the empty set but is a subset of set e, then which of the following is true? d ∩ e = d d ∩ e = e d ∩ e = ∅

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.

Solve for the equation x. 2x + 22 = 4(x + 3)