Modeling with Matrices Answers

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Dante is solving the system of equations below. He writes the row echelon form of the matrix. Which matrix did Dante write?

Question illustration
A
mc021-2.jpg
Option A
B
mc021-3.jpg
Option B
C
mc021-4.jpg
Option C
D
mc021-5.jpg
Option D
2
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Which of the following is the result of the operation below?

Question illustration
A
mc012-2.jpg
Option A
B
mc012-3.jpg
Option B
C
mc012-4.jpg
Option C
D
mc012-5.jpg
Option D
3

Which operation can be used with the augmented matrix below?

Question illustration
A
Switch column 1 and column 2.
B
Multiply row 3 by 0.
C
Add row 2 and column 3.
D
Multiply row 2 by –1 and add it to row 3.
4

Juanita wants to perform row operations on the augmented matrix for the system below.Which matrix should Juanita use to perform the operations?

Question illustration
A
mc003-2.jpg
Option A
B
mc003-3.jpg
Option B
C
mc003-4.jpg
Option C
D
mc003-5.jpg
Option D
5

The matrix below represents the solution to a system of equations.Which of the following describes the solution?

Question illustration
A
no solution
B
an infinite number of solutions
C
(–3, 2, –1)
D
(1, 1, 1)
6

A store sells yogurt in small, medium, and large sizes. A small yogurt costs $2, a medium costs $3, and a large costs $5. In one hour, the shop sold 27 yogurts for $98. There were five more large yogurts than small yogurts. The matrix below represents the system of equations in this situation.How many of each size yogurt did the store sell during that hour?

Question illustration
A
7 small yogurts, 8 medium yogurts, 12 large yogurts
B
12 small yogurts, 8 medium yogurts, 7 large yogurts
C
27 small yogurts, 98 medium yogurts, 5 large yogurts
D
98 small yogurts, 27 medium yogurts, 5 large yogurts
7

Which matrix represents the solution to the system of equations below?

Question illustration
A
mc017-2.jpg
Option A
B
mc017-3.jpg
Option B
C
mc017-4.jpg
Option C
D
mc017-5.jpg
Option D
8

The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.Which of the following is the result of performing the row operation on this matrix?

Question illustration
A
mc006-3.jpg
Option A
B
mc006-4.jpg
Option B
C
mc006-5.jpg
Option C
D
mc006-6.jpg
Option D
9

The matrix below represents a system of equations.Which matrix represents ?

Question illustration
A
mc007-3.jpg
Option A
B
mc007-4.jpg
Option B
C
mc007-5.jpg
Option C
D
mc007-6.jpg
Option D
10

The augmented matrix below represents a system of equations.Which matrix results from the operation ?

Question illustration
A
mc002-3.jpg
Option A
B
mc002-4.jpg
Option B
C
mc002-5.jpg
Option C
D
mc002-6.jpg
Option D

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