College Algebra 1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: Jay Abramson
1 Prerequisites 2 Equations And Inequalities 3 Functions 4 Linear Functions 5 Polynomial And Rational Functions 6 Exponential And Logarithmic Functions 7 Systems Of Equations And Inequalities 8 Analytic Geometry 9 Sequences, Probability And Counting Theory Chapter2: Equations And Inequalities
2.1 The Rectangular Coordinate Systems And Graphs 2.2 Linear Equations In One Variable 2.3 Models And Applications 2.4 Complex Numbers 2.5 Quadratic Equations 2.6 Other Types Of Equations 2.7 Linear Inequalities And Absolute Value Inequalities Chapter Questions Section: Chapter Questions
Problem 1RE: For the following exercises, find the x-intercept and the y-intercept without graphing. 1. 4x3y=12 Problem 2RE: For the following exercises, find the x-intercept and the y-intercept without graphing. 2. 2y4=3x Problem 3RE: For each of the following exercises, solve for y in terms of x, putting the equation in... Problem 4RE: For each of the following exercises, solve for y in terms of x, putting the equation in... Problem 5RE: For the following exercises, find the distance between the two points. 5. (2,5)(4,1) Problem 6RE: For the following exercises, find the distance between the two points. 6. (12,3)(1,5) Problem 7RE: For the following exercises, find the distance between the two points. 7. Find the distance between... Problem 8RE: For the following exercises, find the coordinates of the midpoint of the line segment that joins the... Problem 9RE: For the following exercises, find the coordinates of the midpoint of the line segment that joins the... Problem 10RE: For the following exercises, construct a table and graph the equation by plotting at least three... Problem 11RE: For the following exercises, construct a table and graph the equation by plotting at least three... Problem 12RE: For the following exercises, solve for x. 12. 5x+2=7x8 Problem 13RE: For the following exercises, solve for x. 13. 3(x+2)10=x+4 Problem 14RE: For the following exercises, solve for x. 14. 7x3=5 Problem 15RE: For the following exercises, solve for x. 15. 125(x+1)=2x5 Problem 16RE: For the following exercises, solve for x. 16. 2x334=x6+214 Problem 17RE: For the following exercises, solve for x. State all x-values that are excluded from the solution... Problem 18RE: For the following exercises, solve for x. State all x-values that are excluded from the solution... Problem 19RE: For the following exercises, find the equation of the line using the point-slope formula. 19. Passes... Problem 20RE: For the following exercises, find the equation of the line using the point-slope formula. 20. Passes... Problem 21RE: For the following exercises, find the equation of the line using the point-slope formula. 21. Passes... Problem 22RE: For the following exercises, find the equation of the line using the point-slope formula. 22. Passes... Problem 23RE: For the following exercises, write and solve an equation to answer each question. 23. The number of... Problem 24RE: For the following exercises, write and solve an equation to answer each question. 24. A man has 72... Problem 25RE: For the following exercises, write and solve an equation to answer each question. 25. A truck rental... Problem 26RE: For the following exercises, use the quadratic equation to solve. 26. x25x+9=0 Problem 27RE: For the following exercises, use the quadratic equation to solve. 27. 2x2+3x+7=0 Problem 28RE: For the following exercises, name the horizontal component and the vertical component. 28. 43i Problem 29RE: For the following exercises, name the horizontal component and the vertical component. 29. 2i Problem 30RE: For the following exercises, perform the operations indicated. 30. (9i)(47i) Problem 31RE: For the following exercises, perform the operations indicated. 31. (2+3i)(58i) Problem 32RE: For the following exercises, perform the operations indicated. 32. 275+325 Problem 33RE: For the following exercises, perform the operations indicated. 33. 16+49 Problem 34RE: For the following exercises, perform the operations indicated. 34. 6i(i5) Problem 35RE: For the following exercises, perform the operations indicated. 35. (35i)2 Problem 36RE: For the following exercises, perform the operations indicated. 36. 412 Problem 37RE: For the following exercises, perform the operations indicated. 37. 2(85) Problem 38RE: For the following exercises, perform the operations indicated. 38. 253i Problem 39RE: For the following exercises, perform the operations indicated. 39. 3+7ii Problem 40RE: For the following exercises, solve the quadratic equation by factoring. 40. 2x27x4=0 Problem 41RE: For the following exercises, solve the quadratic equation by factoring. 41. 3x2+18x+15=0 Problem 42RE: For the following exercises, solve the quadratic equation by factoring. 42. 25x29=0 Problem 43RE: For the following exercises, solve the quadratic equation by factoring. 43. 7x29x=0 Problem 44RE: For the following exercises, solve the quadratic equation by using the square-root property. 44.... Problem 45RE: For the following exercises, solve the quadratic equation by using the square-root property. 45.... Problem 46RE: For the following exercises, solve the quadratic equation by completing the square. 46. x2+8x5=0 Problem 47RE: For the following exercises, solve the quadratic equation by completing the square. 47. 4x2+2x1=0 Problem 48RE: For the following exercises, solve the quadratic equation by using the quadratic formula. If the... Problem 49RE: For the following exercises, solve the quadratic equation by using the quadratic formula. It the... Problem 50RE: For the following exercises, solve the quadratic equation by the method of your choice. 50. (x2)2=16 Problem 51RE: For the following exercises, solve the quadratic equation by the method of your choice. 51. x2=10x+3 Problem 52RE: For the following exercises, solve the equations. 52. x32=27 Problem 53RE: For the following exercises, solve the equations. 53. x124x14=0 Problem 54RE: For the following exercises, solve the equations. 54. 4x3+8x29x18=0 Problem 55RE: For the following exercises, solve the equations. 55. 3x56x3=0 Problem 56RE: For the following exercises, solve the equations. 56. x+9=x3 Problem 57RE: For the following exercises, solve the equations. 57. 3x+7+x+2=1 Problem 58RE: For the following exercises, solve the equations. 58. 3x7=5 Problem 59RE: For the following exercises, solve the equations. 59. 2x+35=9 Problem 60RE: For the following exercises, solve the inequality. Write your final answer in interval notation. 60.... Problem 61RE: For the following exercises, solve the inequality. Write your final answer in interval notation. 61.... Problem 62RE: For the following exercises, solve the inequality. Write your final answer in interval notation. 62.... Problem 63RE: AFor the following exercises, solve the inequality. Write your final answer in interval notation.... Problem 64RE: For the following exercises, solve the inequality. Write your final answer in interval notation. 64.... Problem 65RE: For the following exercises, solve the compound inequality. Write your answer in interval notation... Problem 66RE: For the following exercises, solve the compound inequality. Write your answer in interval notation... Problem 67RE: For the following exercises, solve the compound inequality. Write your answer in interval notation... Problem 68RE: For the following exercises, graph as described. 68. Graph the absolute value function and graph the... Problem 69RE: For the following exercises, graph as described. 69. Graph both straight lines (left-hand side being... Problem 1PT: Graph the following: 2y=3x+4. Problem 2PT: Find the x and y-intercepts for the following: 2x5y=6 . Problem 3PT: Find the x- andy-intercepts of this equation, and sketch the graph of the line using just the... Problem 4PT: Find the exact distance between (5,3)and(2,8) . Find the coordinates of the midpoint of the line... Problem 5PT: Write the interval notation for the set of numbers represented by xx9 . Problem 6PT: Solve for x:5x+8=3x10 . Problem 7PT: Solve for x:3(2x5)3(x7)=2x9. Problem 8PT: Solve for x:x2+1=4x Problem 9PT: Solve for x:5x+4=4+3x2 . Problem 10PT: The perimeter of a triangle is 30 in. The longest side is 2 less than 3 times the shortest side and... Problem 11PT: Solve for x. Write the answer in simplest radical form. x23x=12 Problem 12PT: Solve: 3x84. Problem 13PT: Solve: 2x+35. Problem 14PT: Solve: 3x24. Problem 15PT: For the following exercises, find the equation of the line with the given information. 15. Passes... Problem 16PT: For the following exercises, find the equation of the line with the given information. 16. Has an... Problem 17PT: For the following exercises, find the equation of the line with the given information. 17. Passes... Problem 18PT: For the following exercises, find the equation of the line with the given information. 18. Add these... Problem 19PT: For the following exercises, find the equation of the line with the given information. 19. Simplify:... Problem 20PT: For the following exercises, find the equation of the line with the given information. 20. Multiply:... Problem 21PT: For the following exercises, find the equation of the line with the given information. 21. Divide:... Problem 22PT: For the following exercises, find the equation of the line with the given information. 22. Solve... Problem 23PT: For the following exercises, find the equation of the line with the given information. 23. Solve:... Problem 24PT: For the following exercises, find the equation of the line with the given information. 24. Solve:... Problem 25PT: For the following exercises, find the equation of the line with the given information. 25. Solve:... Problem 26PT: For the following exercises, find the equation of the line with the given information. 26. Solve:... Problem 27PT: For the following exercises, find the equation of the line with the given information. 27. Solve:... Problem 28PT: For the following exercises, find the equation of the line with the given information. 28. Solve:... Problem 29PT: For the following exercises, find the real solutions of each equation by factoring. 29. 2x3x28x+4=0 Problem 30PT: For the following exercises, find the real solutions of each equation by factoring. 30.... Problem 7PT: Solve for x:3(2x5)3(x7)=2x9.
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Please help with this linear algebra problem! Thank you!
Transcribed Image Text: Solve the system
X1
X2
X3
X4
=
+s
+t
5x1
-X1
-4x2 +4x3 +3x4
+2x3 +2x4
+6x3
+5x4
- 6x3 -6x4
+x2
4x1
-3x2
3x₁ -3x₂
-
-
=
1
5
66
-15
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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