19
.40 50 .03 .50 .4y y x = 50 L; y = 50 L 0 3 .06 .00 x + 50 3 .3 50 3 x 50 gal

40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

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Page 1: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

.40 50

.03

.50 .4y y

x = 50 L; y = 50 L

0 3 .06

.00 x + 50

3

.3 50 3x

50gal

Page 2: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

40 mL of A, 60 mL of B

Page 3: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

43.75 gal

Page 4: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

80L of 30%, 120 L of 50%

.3

.5200 .42

x .3 .3xy .5 .5y

200 .42 84

200x y

.3 x .5 84y 200 y

60 .3 .5 84y y

.2 24y 120y

120

80x

Page 5: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

100L of 28%, 200 L of 40%

x .28 .28xy .4 .4y

300 .36 84

Page 6: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

100kg Brazilian; 200 kg Turkish

6kg cashews; 4 kg pecans

c 8 8cp 9 9p

10 8.40 84

Page 7: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

590

10@120, 5@$150

1770

Page 8: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

Divide a polynomial by a monomial

• Divide each term by the monomial• (6x2 + 3x – 2) 3

3

2

3

3

3

6 2

xx

3

22 2 xx

Page 9: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

Divide:

2

564 2 xx

2

532 2 xx

Page 10: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

Divide:

x

xxx

2

462 23

232 xx

Page 11: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

Divide a polynomial by a polynomial

(x2 + 5x + 6) (x + 2)• Use long division

5 391 652 2 xxx

Page 12: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

21 3 2x x x

Divide: x2 + 3x +2 by x + 1

2

2 1 3 2x

x x x

Page 13: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

21 1x x x

Divide: x2 + x + 1 by x + 1

1xx

Page 14: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

23 2 12x x x

Divide: x2 + 2x - 12 by x - 3

35

3x

x

Page 15: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

922 2 xxx

(x2 + 2x - 9) (x - 2)

14

2x

x

Page 16: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

31 1x x 2+0x +0x

(x3 + 1) (x + 1)

2 1x x

Page 17: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

1001 23 xxxx

(x3 – 1) (x -1)

2 1x x

Page 18: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

21 5 2 3x x x

(5x2 – 2x - 3) (x -1)

5 3x

Page 19: 40 50.03.50.4yy x = 50 L; y = 50 L 0 3.06.00 x + 50 3

Assignment:

Page 4672 – 28 (even)