Mathematics
Mathermatic

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I’m working on a Mathematics exercise and need support.

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1.Solve the system of linear equations using the Gauss-Jordan elimination method. A) ( 0, 2 ) B) ( 8, 2 ) C) ( 4, –6 ) D) ( –2, 4 ) E) ( 4, –2 ) 2. If the line passing through the points (2, a) and (5, - 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a? A) a = -8 B) a = 4 C) a = -4 D) a = 8 3. Write the equation intercept of the corresponding line. A) B) C) in the slope-intercept form and then find the slope and y- D) 4. Consider the linear programming problem. Sketch the feasible set for the linear programming problem. A) B) C) D) E) 5. Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9 A) y = 8/5x + 9/5 B) y = 8/5x – 9/5 C) y = -8/5x – 9/5 D) y = -8/5x + 9/5 E) y is not a linear function of x. 6. Determine whether the given simplex table is in the final form. If so, find the solution to the associated regular linear programming problem. A) B) Not in final form C) D) E) 7. Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem. A) B) C) D) 8. Maximize P= 10x + 12y subject to A) B) C) D) E) 9. Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem. A) B) C) D) 10. Solve the linear system of equations A) Unique solution: B) Unique solution: C) Infinitely many solutions: D) No solution 11. Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist. A) One and only one solution: B) One and only one solution: C) One and only one solution: D) Infinitely many solutions: E) No solution 12. Consider the linear programming problem. Sketch the feasible set for the linear programming problem. A) B) C) D) E) 13. Find the constants m and b in the linear function f(x) = mx + b so that f(1) = 2 and the straight line represented by f has slope - 1. A) B) C) D) 14. Solve the linear programming problem by the simplex method. A) x = 16, y = 0, z = 16, t = 0, u = 80, v = 21, w = 61, P = 180 B) x = 0, y = 16, z = 0, t = 0, u = 80, v = 21, w = 61, P = 96 C) x = 80, y = 16, z = 0, t = 0, u = 0, v = 21, w = 61, P = 68 D) x = 80, y = 0, z = 0, t = 16, u = 80, v = 21, w = 61, P = 174 15. Solve the linear system of equations A) Unique solution: B) Unique solution: C) Infinitely many solution; D) No solutions 16. Solve the system of linear equations, using the Gauss-Jordan elimination method. A) B) C) D) E) 17. Metro Department Store's annual sales (in millions of dollars) during 5 years were Annual Sales, y 5.8 6.1 7.2 8.3 9 Year, x 1 2 3 4 5 Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L. A) B) C) 18. Find the pivot element to be used in the next iteration of the simplex method. A) B) C) D) E) 19. Solve the linear system of equations A) Unique solution: B) Unique solution: C) Infinitely many solutions: D) No solution 20. Find an equation of the line that passes through the points (1, 4) and ( -7, -4) A) y = 7x + 7 B) y = x + 3 C) y = 3x - 7 D) y = 3x - 3 ...
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