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2 years ago

The product of a number and 3 increased by 9 is less than -42 TRANSLATE

Mathematics

1 answer:

nikitadnepr [17]2 years ago

4 0

Answer:

3x+9 < - 42

Step-by-step explanation:

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Irracionais menores que √5

just olya [345]

Answer:

2.23 this the answer use the calculator

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1 year ago

Express the system as AX = B; then solve using matrix inverses

Wittaler [7]

Answer with explanation:

1. The given equations are

3x -5 y=2

-x+2 y= 0

⇒The matrix in the form of , AX=B, is

$A=\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right] ,\\\\ X=\left[\begin{array}{c}x&y\end{array}\right],\\\\B=\left[\begin{array}{c}2&0\end{array}\right]$

$\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B$

Adj.A=Transpose of cofactor of Matrix A

$Adj.A=\left[\begin{array}{cc}2&1\\5&3\end{array}\right] ,\\\\ |A|=6-5\\\\|A|=1\\\\\left[\begin{array}{c}x&y\end{array}\right]=\left[\begin{array}{cc}2&5\\1&3\end{array}\right] \times \left[\begin{array}{c}2&0\end{array}\right]\\\\x=4, y=2$

The given equations are

x+y-z=2

x+z=7

2 x +y+z=13

⇒The matrix in the form of , AX=B, is

$A=\left[\begin{array}{ccc}1&1&-1\\1&0&1\\2&1&1\end{array}\right]\\\\ X=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\\\\B= \left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B\\\\a_{11}=-1,a_{12}=1,a_{13}=1,a_{21}=-2,a_{22}=3,a_{23}=1,a_{31}=1,a_{32}=-2,a_{33}=-1\\\\|A|=1\times(0-1)-1\times(1-2)-1\times(1-0)\\\\=-1+1-1\\\\|A|=-1\\\\Adj.A=\left[\begin{array}{ccc}-1&-2&1\\1&3&-2\\1&1&-1\end{array}\right]$

$\frac{Adj.A}{|A|}=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\\\\X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\times\left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\x=3,y=3,z=4$

7 0

3 years ago

The diameter of a circle is 9 ft. Find the circumference and round it to the nearest tenth.

marta [7]

Answer:

9*3.14=28.26

Step-by-step explanation:

Hope this Helps!

6 0

1 year ago

Read 2 more answers

What are the three choices equivalent to 27^4/3

12345 [234]

the answers are B,D and F

8 0

2 years ago

Jayla had a bake sale to raise money. At the end of the day, she had 2 1/ 4 apple pie, 2/ 4 lemon pie, and 1 3 /4 cherry pie lef

irina1246 [14]

Answer:

4 2/4 or 4 1/2

Step-by-step explanation:

2 1/4+1 3/4

If you take 3/4 and add it to 1/4 you get 1 then you at 1+1+2=4 then you add the lemon ie which is 2/4, therefore, the answer is 4 2/4 or 4 1/2(simplified).

8 0

2 years ago

Read 2 more answers