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Online casino deutschland legal us casino spiele online gratis euro
103 103 106 1 140 1 Problem Find the x-intercept and y-intercept for the line. y-intercept is -7 or (0,-7) x-intercept is 3 or (3,0) Verify that (2, 3) is a solution to Bitt13.1-1 106 14 140 7 Problem Blit8.1-3 Blit1.1-41 Bitt9.2-3 1 Problem Problem Find the slope of the line through the pair of points (-2,1) and (2,2). Find the slope of the line through the pair of points (-2,4) and (-1,-1). Determine whether the line rises, falls, is vertical or is horizontal. The line rises from left to right. Determine whether the line rises, falls, is vertical or is horizontal. The line falls from left to right. Problem Problem Find the slope-intercept equation of the line that has slope 2 and contains the point (3, 0). Find the slope-intercept equation of the line that contains the points (12, 16) and (1, 5). 2 103 106 140 34 103 Problem Find the slope and y-intercept of the line with equation y = 2x + 1 and graph the line. Problem Use the y-intercept and slope to draw the line for the equation The slope is m = 2 The y-intercept is b = 1 Blit2.3-39 Bitt9.5-23 106 50 140 Bitt9.5-13 103 103 106 4 140 Problem 106 8 140 3 Problem Solve the system by graphing. Solve: x + 3y = 8 y = 2x 9 x 0 y -2 2 0 x y 0 6 6 0 x + 3(2x 9) = 8 y = 2(5) 9 x + 6x 27 = 8 y = 10 9 7x = 35 The solution is (4, 2) y=1 x=5 The solution to the system of equations is (5, 1). Bitt13.1-11 Bitt13.2-1 Blit8.1-x Blit8.1-7 3 103 106 10 140 103 Problem Problem The perimeter of a basketball court is 288 ft and the length is 44 ft longer than the width. Find the dimensions of the court. Solve: The solution to the system of equations is Bitt13.2-11 106 12 140 Blit8.1-13 . The court is 50 ft wide and 94 ft long. Bitt13.2-19 Blit8.1-77 103 106 16 140 7 103 Problem Solve: 106 15 140 12 Problem 4x + 3y = 15 3y = 2x 4 Solve the system 2x 5y = 1 6y = 4x 3 Eliminate x. 4x + 3y = 15 2x 5(1) = 1 4x + 10y = 2 2x 5 = 1 13y = 13 2x = 6 y=1 x=3 6y = 4x + 8 0=5 There are no values of x and y for which 0 = 5. So this system has no solution. The graphs of the equations are of parallel lines. The solution is (3, 1). Bitt13.3-15 4x 3 6y = Bitt13.3-11 Blit8.1-25 Blit8.1-41mml 4 103 106 18 140 9 103 Problem Problem Solve the system y = 3x 5 21x 35 = 7y 21x + 35 = 7y 106 19 140 In one game, the Spurs scored 85 points on a combination of 39 two- and three-point baskets. How many of each type shot were made? 2-pt 3-pt shots x y Total 39 points 2x 3y 85 21x 35 = 7y 0=0 The equation 0 = 0 indicates that the equations are dependent. There are infinitely many solutions. The graphs of the equations are identical. The Spurs made 32 two-point shots and 7 threepoint shots. Bitt13.3-29 Blit8.1-33 Bitt13.4-1 Blit8.1-77 103 106 22 140 Problem Problem Solve the system (1) (2) (3) Arbitrarily choose to eliminate y from equations (1) and (3). How many liters of 50% acid and 80% acid must be mixed to make 100 L of a 68% acid solution? 50% 80% quantity acid 68% x y 100 0.5x 0.8y 0.68(100) 40 L of 50% acid and 60 L of 80% acid are required to make 100 L of 68% acid. Bitt13.4-13 The triple (2, 1, 1) is the solution of this system. Blit8.1-79 Blit8.2-7 5 Problem $6700 invested in parts at 8%, 10% and 12% returned $716 in one year. The amount invested at 12% was $300 more than the amount invested at 8% and 10% combined. Find the amount invested at each rate. Problem Find the quadratic function whose graph passes through the points (-1,6), (1,4), and (2,9). x y -1 1 2 Blit8.2-37 Blit8.2-19 6 4 9