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strojnjashka [21]
3 years ago
12

An augmented matrix for a system of linear equations in x, y, and z is given. Find the solution of the system.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

Answer:

  (x, y, z) = (-4, 2, 1)

Step-by-step explanation:

See the attachment for the output of a calculator that produces the reduced row-echelon form of the matrix.

The [x, y, z] result vector is the column on the right.

  (x, y, z) = (-4, 2, 1)

_____

Numerous web sites are available for computing the row-reduced form of the matrix, or for solving the system of equations. Your graphing calculator will do it as well.

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Question 1
8090 [49]

The correct answer is C. The 13 moose are the individuals. There is one categorical variable and four quantitative variables.

Explanation:

In research, the individuals refer to the participants or population that is being analyzed. For example, if the purpose of the research is to know how many hours highschool students sleep, the individuals are high school students. In this context, the individual or population of this study ae the 13 moose.

Moreover, this research focuses on different variables such as gender, height, the number of hours each moose spends in the water, the weigh of the food eaten on average by each moose, and the average weight of food eaten every day. From these variables, the last four variables are quantitative because they can be measured using numbers, for example, the height is measured in inches. On the other hand, the first variable is categorical because each moose can be classified in only two categories: male or female.

7 0
3 years ago
Plz help me if you see this
Nezavi [6.7K]

Answer:

I am confused on what you are asking but I think the answer is y=12345x

Step-by-step explanation:

its correct

3 0
3 years ago
142 students are going on a field trip. There will be six drivers, and two different types of vehicles. A bus can hold 51 people
otez555 [7]

Answer: 2 buses and 4 vans would be needed

Step-by-step explanation:

Let x represent the number of buses that would be needed.

Let y represent the number of vans that would be needed.

There will be six drivers, and two different types of vehicles. This means that

x + y = 6

142 students are going on a field trip. A bus can hold 51 people while a van can hold 10. This means that

51x + 10y = 142 - - - - - - - - - - - 1

Substituting x = 6 - y into equation 1, it becomes

51(6 - y) + 10y = 142

306 - 51y + 10y = 142

- 51y + 10y = 142 - 306

- 41y = - 164

y = - 164/ - 41

y = 4

x = 6 - y = 6 - 4

x = 2

8 0
3 years ago
Alissa has 6 pink gumballs and 8 blue gumballs. What is the ratio of blue gumballs to pink gumballs?​
Elena L [17]

Answer:

8:6

Step-by-step explanation:

if you have 8 blue gumballs and 6 pink gumballs the ratio is 8:6

8 0
3 years ago
Is the difference between a positive mixed number and a negative mixed number always, sometimes, or never positive?
Annette [7]
Ok It depends upon what the order of the terms might be

 

If we consider that the positive mixed number is the first term and the negative mixed number is the second term and we consider "difference" to be subtraction.....then the result is positive

 

For example

(3 + 1/2) -  [ -(1 + 1/2)] =

 

(3 +1/2) + (1 + 1/2) = 5   since subtracting a negative results in a positve

 

But....if we had the reverse order with the same operation, we would have

 

-(1 + 1/2) - (3 + 1/2)   and the result is - 5

 

Hence.......I would go with "sometimes"

 

5 0
3 years ago
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