With a real machine, why is W out always smaller than W in

The augmented matrix of a system of equations has been transformed to an equivalent matrix inâ€‹ row-echelon form. Usingâ€‹ x, y

jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a Row Echelon Form, which satisfies the following conditions:

There is a row of all zeros at the bottom of the matrix;
The first non-zero element of any row is 1, which called leading role;
The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

$\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]$ $\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]$

or in system form:

x + 2y + 2z = 4

y + 3z = 9

z = -2

Now, to determine the variables:

z = -2

y + 3(-2) = 9

y = 15

x + 30 - 4 = 4

x = - 22

The solution is (-22,15,-2).

4 0

3 years ago

24. A political discussion group consists of 30 Republicans,

Makovka662 [10]

Answer:

12 /67

Step-by-step explanation:

I added everything up to get 67 then I added independent and green together to get 12

7 0

3 years ago

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Use limits to find the area of the region bounded by the graph f(x)=4-2x^3 , the x-axis , and the vertical lines x=0 and x=1

gtnhenbr [62]

Answer:

$\frac{7}{2}$ square units.

Step-by-step explanation:

We have to use limits to find the area of the region bounded by the graph $f(x) = 4 - 2x^{3}$ , the x-axis, and the vertical lines x=0 and x=1.

So, the area will be

A = $\int\limits^1_0 {(4 - 2x^{3})} \, dx$

= $[4x - \frac{x^{4}}{2} ]^{1} _{0}$

= $4 - \frac{1}{2}$

= $\frac{7}{2}$ square units. (Answer)

3 0

3 years ago

If y=24 when x=21, find y when x is 18

ludmilkaskok [199]

Answer:20.571

Step-by-step explanation:

x:y = 21: 24=7:8

8x=7y

y=8x/7

When x=18

y=8*18/7

y=20.571

5 0

3 years ago

Find the slope and the y-intercept in this equation: 3y+6=-2x

Dmitry [639]

Hello,

To solve this problem, you should first put in it slope intercept form.

Here are the steps:

3y + 6 = -2x Add 6 to both sides
3y = -2x - 6 Divide both sides by 3
y = (-2/3)x - 2

The you can see that the slope is (-2/3) and the y-intercept is (0, -2).

I hope this helps,
MrEQ

7 0

3 years ago

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