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Guide allo studio > College Algebra

Solutions

Solutions to Try Its

1. x-intercept is (4,0)\left(4,0\right); y-intercept is (0,3)\left(0,3\right). This is an image of a line graph on an x, y coordinate plane. The x and y axes range from negative 4 to 6. The function y = -3x/4 + 3 is plotted. 2. (−5,52)\left(-5,\frac{5}{2}\right)

Solutions to Odd-Numbered Exercises

1. Answers may vary. Yes. It is possible for a point to be on the x-axis or on the y-axis and therefore is considered to NOT be in one of the quadrants. 3. The y-intercept is the point where the graph crosses the y-axis. 5. The x-intercept is (2,0)\left(2,0\right) and the y-intercept is (0,6)\left(0,6\right). 7. The x-intercept is (2,0)\left(2,0\right) and the y-intercept is (0,−3)\left(0,-3\right). 9. The x-intercept is (3,0)\left(3,0\right) and the y-intercept is (0,98)\left(0,\frac{9}{8}\right). 11. y=4−2xy=4 - 2x 13. y=5−2x3y=\frac{5 - 2x}{3} 15. y=2x−45y=2x-\frac{4}{5} 17. d=74d=\sqrt{74} 19. d=36=6d=\sqrt{36}=6 21. d≈62.97d\approx 62.97 23. (3,−32)\left(3,\frac{-3}{2}\right) 25. (2,−1)\left(2,-1\right) 27. (0,0)\left(0,0\right) 29. y=0y=0 31. not collinear This is an image of an x, y coordinate plane with the x and y axes ranging from negative 5 to 5. The points (0,4); (-1,2) and (2,1) are plotted and labeled. 33. (−3,2),(1,3),(4,0)\left(-3,2\right),\left(1,3\right),\left(4,0\right) 35.
xx yy
−3-3 1
0 2
3 3
6 4
This is an image of an x, y coordinate plane with the x and y axes ranging from negative 10 to 10. The points (-3, 1); (0, 2); (3, 3) and (6, 4) are plotted and labeled. A line runs through all these points. 37.
x y
–3 0
0 1.5
3 3
This is an image of an x, y coordinate plane with the x and y axes ranging from negative 10 to 10. The points (-3, 0); (0, 1.5) and (3, 3) are plotted and labeled. A line runs through all of these points. 39. This is an image of an x, y coordinate plane with the x and y axes ranging from negative 10 to 10. The points (8, 0) and (0, -4) are plotted and labeled. A line runs through both of these points. 41. This is an image of an x, y coordinate plane with the x and y axes ranging from negative 10 to 10. The points (0, 2) and (3, 0) are plotted and labeled. A line runs through both of these points. 43. d=8.246d=8.246 45. d=5d=5 47. (−3,4)\left(-3,4\right) 49. x=0 y=−2x=0\text{ }y=-2 51. x=0.75 y=0x=0.75\text{ }y=0 53. x=−1.667 y=0x=-1.667\text{ }y=0 55. 15-11.2 = 3.8\text{15}\text{-11}.\text{2 }=\text{ 3}.8 mi shorter 57. 6.042\text{6}.0\text{42} 59. Midpoint of each diagonal is the same point (2,2)\left(2,2\right). Note this is a characteristic of rectangles, but not other quadrilaterals. 61. 37\text{37} mi 63. 54 ft

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