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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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I don't understand e. Please help
dexar [7]
Case 1: Probabilities cannot add up to a number greater (or less) than 1. This would mean there is greater than a 100% chance of something happening which just doesn't make sense. 0.4 + 0.4 + 0.3 = 1,1

Case 2: You cannot have a negative probability. That is claiming that there is a -10% chance of an event happening, there is at the very least a 0%. Despite them "adding" up to 1, the negative probability makes no sense.

Hope I helped!
6 0
3 years ago
A university has 29,970 students. In a random sample of 285 students, 19 speak three or more languages. Predict the number of st
hodyreva [135]
Set up a proportion.
Let x = the number of students in 29970 who speak 3 or more languages.

285/19 = 29970/x Cross multiply
285 x = 19 * 29970
285x = 569430
x = 569430/285
x = 5415 students speak 3 languages.
4 0
3 years ago
Will the sum of 2x3 + x2 - 4 and -5x² - 6x? be a polynomial?<br> yes<br> no
Eva8 [605]

Answer:

Yes

Step-by-step explanation:

Since we are adding two polynomials

The sum will also be polynomial

4 0
3 years ago
Taylor saw an American alligator at a zoo that measured Ask Your Teacher feet long. The record length of an American alligator i
lianna [129]

Answer:

The record alligator is 6\frac{1}{4} feet longer than the alligator Taylor saw.

Step-by-step explanation:

Taylor saw an American alligator at a zoo that measured 12\frac{11}{12} feet long. The record  length of an American alligator is 19\frac{1}{6} feet long. How much longer is the record  alligator than the alligator Taylor saw?

For this first convert the mixed fraction into an improper fraction.

12\frac{11}{12}=\frac{155}{12}

19\frac{1}{6}=\frac{115}{6}

Now subtract \frac{155}{12} from \frac{115}{6}.

\frac{115}{6}-\frac{155}{12}=\frac{75}{12}=6\frac{1}{4}

Hence, the record alligator is 6\frac{1}{4} feet longer than the alligator Taylor saw.

4 0
3 years ago
Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. Ho
OLEGan [10]

Answer:

pair of jeans = 21  

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

            Equation 1:    5x + 2y = 166                                            

3 pair of jeans and 4 shirts for $164. This means:

                               2x + 4y = 164

Dividing both sides by 2, we get:

           Equation 2:      x + 2y = 82                                            

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

4x = 84

y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

4 0
3 years ago
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