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Page 113. 1. 2. What are the zeros of the polynomial defined by the function y = x 2 – 16x + 28?. Warm-up Jan. 27. Put your diaper project in the basket. HW: Finish midterm review packet & study. Midterm is tomorrow!. Math Poker. Total Earnings. Bets. Show me the Math. T.
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Page 113 1. 2. What are the zeros of the polynomial defined by the function y = x2 – 16x + 28? Warm-up Jan. 27 Put your diaper project in the basket. HW: Finish midterm review packet & study. Midterm is tomorrow!
Math Poker Total Earnings Bets Show me the Math
T 4. One root of the equation 2x2 = x + 15 2x2 – x – 15 = 0 (2x + 5)(x – 3) = 0 2x + 5 = 0 x = 3 -5 -5 2x = -5 2 2
a 12. Justin’s part-time job pays him $155 a week. If he has already saved $375, what is the minimum number of weeks he needs to work in order to have enough money to buy a dirt bike for $900? 1) 8 2) 9 3) 3 4) 4 155x + 375 ≥ 900 -375 -375 155x ≥ 625 155 155 x ≥ 4.03
i 6x3 – 2x2 – 4x 2x(3x2 – x – 2) 2x(3x + 2)(x – 1)
r +4 +3
h 3(2x) + 5 = 7x – 2 6x + 5 = 7x – 2 -6x -6x 5 = x – 2 +2 +2 7 = x
a 21. The solution set of the equation |2x – 1| + 4 = 8 |2x – 1| + 4 = 8 -4 -4 |2x – 1| = 4 4 = -(2x – 1) 2x – 1 = 4 4 = -2x + 1 +1 +1 -1 -1 2x = 5 3 = -2x 2 2 -2 -2
(4x + 21) (7x – 42) r 27. In the diagram on the right, line l and line m are parallel. Solve for x. What is the measure of the angle represented by 7x – 42? 4x + 21 = 7x – 42 -4x -4x 21 = 3x – 42 +42 +42 63 = 3x 3 3 21 = x 7(21) – 42 147 – 42 105
e 28. Find two consecutive negative integers such that the product is 42. Let 1st CNI = x 2nd CNI = x + 1 x(x + 1) = 42 x2 + x = 42 -42 -42 x2 + x – 42 = 0 (x + 7)(x – 6) = 0 x = -7 x = 6 = -7 = -6 reject
33. J.Crew is having their winter sale on all items in the store. The winter sale is 35% off the original price. If a customer has a J.Crew credit card, then they get an additional 10% off the sale price. A lambswool cable crewneck sweater sells for $98.00, how much will a J.Crew cardholder customer saved over a regular customer? Include a sales tax of 8.625%. Team Discount = 0.35(98) = 34.30 Sale price w/discount = 98.00 -34.30 63.70 Additional 10% = 0.10(63.70) = 6.37 Sale price w/10% = 63.70 additional -6.37 57.33 w/tax = 0.08625(57.33) = 4.94 Total = 62.27 69.19 – 62.27 = 6.92 A jcrew cardholder saves by $6.92 Tax = 0.08625(63.70) = 5.49 Total w/tax = 5.49 +63.70 $69.19
Work 29. The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. Find the larger integer. Let 1st PI = x 2nd PI = 2x + 5 x(2x + 5) = 52 2x2 + 5x = 52 -52 -52 2x2 + 5x – 52 = 0 (2x )(x ) = 0
Is 30. Ashley has $1.35 in nickels and dimes in her purse. In all there are 15 coins. How many coins of each kind are there? 5x + 10(15 – x) = 135 5x + 150 – 10x = 135 -5x + 150 = 135 -150 -150 -5x = -15 -5 -5 x = 3 Answer: 3 nickels 12 dimes
Awesome 32. The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is $2.90. What is the cost of each item? Include appropriate units in your answer. Let x = $ marker y = $ pencil -3(3x + 2y) = 1.80 -9x – 6y = -5.40 4x + 6y = 2.90 4x + 6y = 2.90 -5x = -2.50 -5 -5 x = 0.50 = $0.50 = $0.15 4(0.5) + 6y = 2.90 2 + 6y = 2.90 -2 -2 6y = 0.9 6 6 y = 0.15