y=x? , y=x+6 , 2y+2= 0 (1,9) (0, x-intercept : (-6,0) y=0 zy = -2 y= -| A (-6.0) 10,0) y-intercepti (0, 6) A10,-1) *=0 y= 6 Area 1: Area 2: ya x x- x +6 x? -x -6=0 x - 4x +3x -6=0 x (x*-4)+3x-2 > 0 X(x-2) (x+ 2) + 3x-2 = 0 (x - 2) ( x(x +2) + 3)=0 (x-2) (x*+2x +3) = 0 Interse ction: t-1) =x +6 -6-1=x -7 >X (-7,-1) Interse ction: (-1,-1) A,= L (Ya-yb) dx X-iz0 x2x +33O x €R y: x +6 y= (2)+5 y= 8 Intersection: (2, 8) xp (11) - 9+x) „T= 7. A (x+G - x) dr A2= -7 + 6x -(-) - ( - *) 1. 6(-1) (-1)" %3D = 18u : (2 +12 - 4)- (-22) 63 A= A, + A2 = 18 4? 72 63 135 4
y=x? , y=x+6 , 2y+2= 0 (1,9) (0, x-intercept : (-6,0) y=0 zy = -2 y= -| A (-6.0) 10,0) y-intercepti (0, 6) A10,-1) *=0 y= 6 Area 1: Area 2: ya x x- x +6 x? -x -6=0 x - 4x +3x -6=0 x (x*-4)+3x-2 > 0 X(x-2) (x+ 2) + 3x-2 = 0 (x - 2) ( x(x +2) + 3)=0 (x-2) (x*+2x +3) = 0 Interse ction: t-1) =x +6 -6-1=x -7 >X (-7,-1) Interse ction: (-1,-1) A,= L (Ya-yb) dx X-iz0 x2x +33O x €R y: x +6 y= (2)+5 y= 8 Intersection: (2, 8) xp (11) - 9+x) „T= 7. A (x+G - x) dr A2= -7 + 6x -(-) - ( - *) 1. 6(-1) (-1)" %3D = 18u : (2 +12 - 4)- (-22) 63 A= A, + A2 = 18 4? 72 63 135 4
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter4: Graphs
Section4.1: Use The Rectangular Coordinate System
Problem 53E: Is the point (3,0) on the x-axis or y-axis? How do you know?
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