Expert answer:multiple choice assignment is attached below. the word problems are right below typed here. thank you! ————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————————1
Write a short paragraph comparing the three methods of solving systems of equations. Describe the advantages and disadvantages of each method.
Create systems of equations in two variables that have (a) no solution, (b) one distinct solution, and (c) infinite solutions. Show that each system has the indicated number of solutions by using a graph or solving the system.
2When using Gaussian elimination to solve a system of linear equations, explain how you can recognize that the system has no solution. Give an example that illustrates your answer. 3In your own words, describe the difference between a matrix in row-echelon form and a matrix in reduced row-echelon form.please type these solutions in word. do not use pdf or handwritten thank you.
hluechs_math_problems.docx
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1.
Which answer shows the best estimate for the solution to the system of
equations in the graph below?
A) (-2, 0), (2, 0)
B) (-2, 0), (2, 0), (5, 0)
C) (-2, 5), (2, 5)
D) No solution
2.
Which of the following systems is in row-echelon form?
3.
Use Gaussian elimination to write the system of equations given below in
row-echelon form.
4.
Find the solution to the system of equations given below.
A) (0, 4, -2)
B) (-5/4, ¼, 3)
C) (-5, -1, 8)
D) (3, 7, -8)
5.
Find the solution to the system of equations given below.
A) (-5.5, 2.9, -2.0)
B) (6.95, 3.65, 5.5)
C) No solution
D) Infinite solutions
6.
Write the form of the partial fraction decomposition of the rational
expression.
7.
Write the form of the partial fraction decomposition of the rational
expression.
8.
Find the equation of the parabola y = ax2 + bx + c that passes through the
points (0, 3), (1,4), and (2, 3).
A) y = -(¼)x^2 + (½)x + 3
B) y = -(⅔)x^2 + (5/3)x + 3
C) y = 2x^2 – 13x + 21
D) y = -x^2 + 2x + 3
9.
Write the form of the partial fraction decomposition of the rational
expression.
10.
An object moving vertically is at the given heights at the specified times.
Find the position equation
s=
at^2 + v0t + s0 for the object given the following conditions.
•
•
•
At t = 1 seconds, s = 48 feet
At t = 2 seconds, s = 64 feet
At t = 3 seconds, s = 48 feet
A) s = 16t^2 – 96t + 192
B) s = 32t^2 – 96t + 192
C) s = -16t^2 + 64t + 0
D) s = -32t^2 + 64t
11.
Find the order of the matrix shown below.
A) 2 × 3
B) 3 × 2
C) 1 × 6
D) 6 × 1
12.
Which of the following shows the augmented matrix for the system of
equations given below?
13.
Which of the following shows the coefficient matrix for the system of
equations given below?
14.
Add 2 times R2 to R3 in the matrix given below.
15.
Interchange R1 and R3 in the matrix given below.
16.
Identify which matrix is in reduced row-echelon form.
17.
Find the solution represented by the augmented matrix that has been
reduced using Gauss-Jordan elimination.
A) (1, 2, -1)
B) (1, 1, 1)
C) (1, 0, 0)
D) (0, 1, 0)
18.
Use Gauss-Jordan elimination to write the following matrix in reduced rowechelon form.
19.
Use Gauss-Jordan elimination to write the following matrix in reduced rowechelon form.
20.
The flow of traffic (in vehicles per hour) through a network of streets is
shown below.
…
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