Semester Review Slide Show Factor to solve x2 –10x – 24 = 0 2. 5x2 + 18x + 16= 0 {slide and divide} (x-12)(x+2) x = -2,12 X2 + 18x +80 (x+10)(x+8) x = -8, -10 5 5 X = -8/5 and -2
y = 2(x+1)2 – 4 2(x2 +2x+1) – 4 2x2 +4x-2 -2 = a(0+1)2 – 4 a = 2 3. Give general form of a parabola with vertex (-1,-4) and point (0,-2) y = 2(x+1)2 – 4 2(x2 +2x+1) – 4 2x2 +4x-2 -2 = a(0+1)2 – 4 a = 2
Solve: 43(x-7) = 4 2(x-10) 4. 64x-7 = 16x-10 Ln e(x-2) = ln8 x-2 = ln8 x ≈ 4.079 6. log5(x-1) = 4 5 5 x-1 = 625 x = 626 7. 52x-3 = 7 log5 log5
8. Continuous compounded interest uses the formula: A = Pert 8. Continuous compounded interest uses the formula: A = Pert. You deposit $3000 in an account that pays 3% annual interest compounded continuously. What is the balance after 5 years? A = 3000e(0.03·5) A ≈ 3485.50
2| 1 8 -5 2 20 1 10 15 answer is x + 10 + 15 x-2 10. Sketch the basic graphs a. x2 b. x3 c. x4 d. -x4
Homework, copy problems first! FOIL or multiply out 1. 2(x + 6)2 - 14 2. (x-9)(x +3)2 Solve by quadratic equation: 3. 6x2 - 10x – 3 = 0 4. 6x2 + 16x + 5= 0 5. 4x2 + 12x - 8 = 0 6. 8x2 - 14x + 9= 0