$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]$

And the vector of vriables (X) is:

$\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]$

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

$\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

In conclusion, AX=B is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

7 0

4 years ago

Sandra saves 14% of her salary for retirement. This year her salary was $2,000 more than in the previous year, and she saved $7,

Brums [2.3K]

Answer: Sandra's salary in the previous year was $48,000

Step-by-step explanation:

Hi, the expression given is missing the $2000 more that she earns this year.

0.14 (x +2000) =7000

Where:

<em>x is Sandra's salary in the previous year. </em>
<em>0.14 is the decimal form of 14% (14/100=0.14) </em>

Solving for x :

0.14(x) +0.14 (2000) =7000

0.14x +280 =7000

0.14 x = 7000-280

0.14x = 6720

x = 6720/0.14

x=48,000

Sandra's salary in the previous year was $48,000

Feel free to ask for more if needed or if you did not understand something.

8 0

4 years ago

Kenji wants to divide 48.6 by 0.15. What is the first step that Kenji must complete?

wolverine [178]

It is the second choice
hope this helps:)
please mark thanks and brainliest:))

6 0

3 years ago

Read 2 more answers