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sweet [91]
3 years ago
14

Which is the correct coefficient matrix for this system?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

We have been given a system of equations and we are asked to write correct coefficient matrix for this system.

Since we know that a matrix for a system of equations is in the form: AX=B, where A represents the coefficient matrix, X is variables''s matrix and B is the constant matrix.          

We are given two equation and two unknown variables, so our coefficient matrix will be a 2\times2 matrix. Our matrices for variable and constant will be of dimensions 2\times1 (column matrix).

We can represent our given system of equations in matrix form as:

\left[\begin{array}{ccc}3&4\\-1&-6\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right]= \left[\begin{array}{ccc}12\\10\end{array}\right]

Now let us find our A, X and B parts from above matrices.

A=\left[\begin{array}{ccc}3&4\\-1&-6\end{array}\right]

X=\left[\begin{array}{ccc}x\\y\end{array}\right]

B=\left[\begin{array}{ccc}12\\10\end{array}\right]

Since we know that A represents coefficient matrix, therefore, correct coefficient matrix for our system of equations will be,

\left[\begin{array}{ccc}3&4\\-1&-6\end{array}\right]


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I need help with this V-4=v+2+7v-42 ??
zubka84 [21]

Answer:

\boxed{\bold{v \ = \ \frac{36}{7}}}

Step-by-step explanation:

Subtract v from both sides

\bold{v-4-v=v+2+7v-42-v}

Simplify

\bold{-4=2+7v-42}

Switch sides

\bold{2+7v-42=-4}

Group like terms

\bold{7v+2-42=-4}

Subtract the numbers: 2 - 42 = -40

\bold{7v-40=-4}

Add 40 to both sides

\bold{7v-40+40=-4+40}

Simplify

\bold{7v=36}

Divide both sides by 7

\bold{\frac{7v}{7}=\frac{36}{7}}

Simplify

➤ \bold{v=\frac{36}{7}}

5 0
3 years ago
Please answer this question correctly and i'll mark you as brainlilest! Thank you.
raketka [301]

Answer:

\frac{ {7}^{4} ( - 2) {}^{4} {11}^{3}  6}{7 {}^{3}    {2}^{2} {6}^{2} 11 {}^{2}   }  =  \frac{7 \times  {2}^{2}  \times 11}{6}  =  \frac{308}{6}  =  \frac{154}{3}   \\  \\  \frac{ {7}^{0} {12}^{0}  {17}^{0}  }{ {57}^{0}  + ( {42}^{0}  \times ( {13}^{0} ))}  =  \frac{1}{1 + 1}  =  \frac{ 1}{2}

4 0
2 years ago
31,059 is rounded by ten thousands in math
kifflom [539]
This would be 30,000
8 0
3 years ago
Mr. Sen wants to treat a group of friends either to the movies or to a hockey game for his birthday. Both the theater and the ho
monitta

Answer:

there's no numbers to answer this question

Step-by-step explanation:

I apologize but all the information and table is gone there is no way to answer this for you

8 0
2 years ago
If f(x)=ln(sin(2x)), f''(π/4) is equal to​
Licemer1 [7]

Use the chain rule to compute the second derivative:

f(x)=\ln(\sin(2x))

The first derivative is

f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}

f'(x)=2\cot(2x)

Then the second derivative is

f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'

f''(x)=-4\csc^2(2x)

Then plug in π/4 for <em>x</em> :

f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4

4 0
3 years ago
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