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2 years ago

Which system of equations corresponds to this matrix multiplication operation

Mathematics

2 answers:

dedylja [7]2 years ago

8 0

Answer:

Option B

Step-by-step explanation:

I just completed the test.

faltersainse [42]2 years ago

3 0

Answer:

Option (B)

Step-by-step explanation:

$\begin{bmatrix}5 & 2 & 1\\ 7 & -5 & 2\\ -5 & 3 & 1\end{bmatrix}\times \begin{bmatrix}x\\ y\\ z\end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}$

By applying multiplication property of the matrices,

$\begin{bmatrix}(5x+2y+z)\\ (7x-5y+2z)\\(-5x+3y+z) \end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}$

Therefore, system of equations formed will be,

5x + 2y + z = 16

7x - 5y + 2z = 3

-5x + 3y + z = 12

Option (B) will be the correct option.

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F is between E & G e f equals x - 7 + e g equals 4x + 3 find f g

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Answer: FG = 3x + 10

Step-by-step explanation:

EF + FG = EG Segment Addition Postulate

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Answer:

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3 years ago

Find all the integers,b, that make up the trinomial x2 + bx + 10 factorable.

KonstantinChe [14]

By the fundamental theorem of algebra, we can write

$x^2+bx+10=(x-r_1)(x-r_2)$

Expanding the right hand side, we get

$x^2+bx+10=x^2-(r_1+r_2)x+r_1r_2\implies\begin{cases}r_1+r_2=-b\\r_1r_2=10\end{cases}$

We want $b$ to be an integer, which means $r_1,r_2$ must also be integers. This means $r_1,r_2$ must be factors of 10. There are several possibilities:

$r_1=\pm10,r_2=\pm1\implies b=-(10+1)=-11\text{ or }b=-(-10-1)=11$

$r_1=\pm5,r_2=\pm2\implies b=-(5+2)=-7\text{ or }b=-(-5-2)=7$

So there are 4 possible values for $b$ : -11, -7, 7, and 11.

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3 years ago

All the ratios that are equivalent to the ratio 12:3.

taurus [48]

Answer:

Step-by-step explanation:

12:3 = 12 divide by 3 = 4

3 divide by 3 = 1

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Why is 5 a rational number?

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3 years ago

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Which system of equations corresponds to this matrix multiplication operation￼

Which system of equations corresponds to this matrix multiplication operation