Question 611160: I've missed a lot of school because I've been sick and I'm trying to get all of my work done. The notes and books don't explain how to do all of the problems really well and I need help with the following questions. Please explain to me how to get the answers. Thanks!
1. Which of the following is a quadratic equation that has roots of 2 1/2 and 2/3?
A) 5x^2 + 11x - 7 = 0
B) 6x^2 - 19x + 10 = 0
C) 5x^2 + 11x - 10 = 0
D) 6x^2 + 19x - 10 = 0
2. Which system has infinitely many solutions?
A) y = 2x + 6
y - 8x = 21
B) 4x - 4y = 4
x - y = 1
C) 4x + 2y = 5
x - 2y = 9
D) none of these
3. Which describes the number and type of roots of the equation x^3 - 4x^2 + 50x + 7= 0?
A) 1 positive, 2 negative
B) 2 positive, 1 negative
C) 3 negative
D) 3 positive
4. Evaluate i^14.
A) i
B) -1
C) -i
D) 1
5. Solve w^4 + 2w^2 - 24 = 0.
6. What type of polynomial is 79x^9?
A) monomial
B) binomial
C) trinomial
D) none of these
7. Find the solution for the determinant.
1 20
5 -5
A) 100
B) 105
C) -105
D) -95
8. Find the solution for the determinant.
-4 2
8 -10
A) 24
B) -56
C) 56
D) -24
9. The result of multiplying a 2x3 matrix and a 3x4 matrix is a 2x4 matrix.
A) True
B) False
10. ____________________ uses determinants to solve systems of equations.
A) elimination
B) substitution
C) graphing
D) Cramer's Rule
11. In order to _______ matrices, you must always have the same dimensions.
A) multiply
B) add
C) invert
D) none of these
12. It is not possible to multiply a 2x5 matrix and a 5x4 matrix.
A) True
B) False
13. When using Cramer's Rule to solve the system of equations containing
2x - y = 1
-4x + 3y = 0
the numerator for the y variable looks like which determinants?
14. Solve by completing the square x2 - 6x - 4 = 0.
15. When using Cramer's Rule to solve the system of equations containing
5x - y = 5
-3x + y = -9
the denominator for the x and y variables looks like which of these determinants?
16. What kind of solutions does ax^2 - bx + c = 0 have if b^2 - 4ac < 0?
A) two real solutions
B) two complex solutions
C) one complex solution
D) one real solutions
17. What type of polynomial is -25x4 - 21?
A) monomial
B) binomial
C) trinomial
D) none of these
18. Use synthetic substitution to find f(-2) for f(x) = x4 - 4x3 - 4x + 6
A) 22
B) 56
C) 62
D) 32
19. It is possible to multiply a 3x4 matrix and a 2x2 matrix.
A) True
B) False
20. When using Cramer's Rule to solve the system of equations containing
3x - 6y = 9
4x + 2y = -6
the numerator for the x variable looks like which of these determinants?
21. Solve by completing the square x2 - 2x - 5 = 0.
22. If y = 4x + 14, what is the value of y ÷ -4?
23. What is the solution to the system containing these equations?
y = x + 5
x + y = 9
24. It is not possible to add a 2x4 matrix and a 4x2 matrix.
A) True
B) False
25. Solve by completing the square 3x2 - 8x - 6 = 0.
26. Solve the quadratic equation x2 + 8x + 12 = 0.
27. If x + 3y = 12 and 2/3X- y = 5, what is the value of x?
28. One factor of x3 - 3x2 - 4x + 12 is x + 2. Find the remaining factors.
29. What is the solution for the determinant?
1/2 -4
-1/4 -2
30. What type of polynomial is 5x^2 - 11x + 2?
31. Which value is the sum of the solutions to x^2 - 3x - 18 = 0?
Answer by jsmallt9(3758)   (Show Source):
You can put this solution on YOUR website! I understand that you need a lot of help and I sympathize. But you're probably never going to find a tutor that has the time, skills and interest in showing you how to solve 31 problems.
Please re-post your questions. Put 3 or fewer related questions per post. And try to select meaningful categories. I'd suggest the following:
Quadratic equations: #1, #14, #16, #21, #25, #26, #31
Systems of linear equations: #2, #23, #27
Linear algebra: #7, #8, #9, #10, #11, #12, #13, #15, #19, #20, #24, #29
Polynomials: #3, #5, #6, #17, #18, #28, #30
Complex numbers: #4
?? #22
|
|
|
