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Math 209 FINAL(1) - x^2 25x 150(x 15(x 10 15 10 Randy 15 5...

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Sheet1 Page 1 Math 209 FINAL pg. 316 16) x^2 - 3x - 5 -2x^2 - 6x + 7 -x^2 - 9x + 2 22) 3a - 7 2a + 5 6a^2 - 14a + 15a - 35 6a^2 + a - 35 30) x^2 -3x + 5 x + 2 x + 2 √x^2 - 3x + 5 x^2 + 2x -5x + 5 -5x -10 15 x + 2 36) 3,000 - 150(q) r(q) = -150q^2 + 3,000q = -150(8)^2 + 3,000(8) = -150(64) + 24,000 = -9,600 + 24,000 = $14,400 pg. 374 10) a^2 + 2a - 24 (a + 6) (a - 4) x - 5 + 15/x + 2 x - 5 + 15
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Sheet1 Page 2 21) x^3 - 6x^2 + 11x - 6 (x^2 - 3x + 2) (x - 3) (x - 1) (x - 2) (x - 3) 24) 3x^3 = 12x 3x^3 - 12x = 0 3x (x^2 - 4) 3x = 0 x = 0 x^2 = 4 x = 2 or -2 x = 0 or 2 or -2 30) a) h (t) = -16t^2 + 64 = -16(1)^2 + 64 = -16 + 64 h = 48 ft. b) 1 sec = 48 ft. distance is 64 ft. 48(1.33333) = 64 takes 1.33 sec. round to 2 sec. pg. 448 (m - 1)^2 3m + 3 m - 1 3(m + 1) 2 3 x x- 2 x - 2 x 2x - 4 + x x - (3x - 6) 3x - 4 -2x + 6 3x - 4 -2(x - 3) x - 1 x 2 2x^2 - 6x + 6 = x^2 - x x^2 - 5x + 6 (x - 3) (x - 2) 3, 2 8) m^2 - 1 * 2m - 2 m + 1 * 2(m - 1) 12) 2 + 1 1 - 3 14) x - 3 = 1
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Sheet1 Page 3 20) Brenda 30 miles speed = x time Randy 60 miles speed = x + 5 time + 60 ( 1 hr.) x + 5 x 60x - 30x - 150 = x^2 + 5x x^2 - 25x + 150
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Unformatted text preview: x^2 - 25x + 150 (x - 15) (x - 10) 15, 10 Randy 15 + 5 = 20 , 10 + 5 = 15 Brenda 15 , Randy 20 or Brenda 10 , Randy 15 pg. 606 8) √72 √9 √8 3 √8 3 √4 √2 3*2 √2 6 √2 18) ( 9y^4x^1/2)^1/2 √9y^4/2x^1/4 3y^2x^1/4 30) 2√x + 4 = 3 2^2 (x + 4) = 3^2 4x + 16 = 9 4x = -7 4 34) √x - 1 + √x + 4 = 5 x - 1 = 25 -10√x + 4 + x + 4-30 = -10√x + 4 3 = √x + 4 9 = x + 4 {5} pg. 670 2)-3x^2 + 5x - 1 = 0 5^2 - 4(-3)(-1) 25 - 12 13 60- 30 = 1 hr. x = { -7 } 2 solutions based on ex. 5 on pg. 626 Sheet1 Page 4 4) 2x^2 + 5x - 3 = 0 (2x - 1) (x + 3) x = 1/2 x = -3 {-3, 1/2} 6) x^2 + 10x + 25 = 0 (x + 5) (x + 5) {-5} 20) lw = area l = w + 2 w = w w + 2 (w) = 16 ft w^2 + 2w = 16 ft. w^2 + 2w - 16 2 + or - √2^2 - 4 (1)(-16) 2(1) 2+ or - √4 + 64 2 2 + or - √68 2 2 + or - √4 √17 2 2 + or - 2√17 2 1 + or - √17 length can not be a negative number. length = 1 + √17 ft. width is 1 + √17 - 2 width is -1 + √17 ft....
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