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Kisachek [45]
3 years ago
14

Which determinants can be used to solve for x and y in the system of linear equations below?

Mathematics
2 answers:
Elena L [17]3 years ago
4 0

<u>Answer:</u>

The correct answer option is A. |A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}.

<u>Step-by-step explanation:</u>

We are given the following system of linear equations:

-3x+2y=-9

4x-15y=-25

We can create a matrix  AX = b where A is a 2×2 matrix created by the coefficients of x and y and b is a 2×1 matrix formed by the term after equality.

So the correct answer option is:

|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}

zlopas [31]3 years ago
3 0

Answer:

The right answer is the first answer

Step-by-step explanation:

Look to the attached file

Download docx
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NEED HELP!!! Please answer the question! WILL GIVE BRANILY! 15 POINTS!!!
rewona [7]

Answer: D. Cannot be determined.

If Angle 3 were not included, the answer would be A, 360°

Step-by-step explanation: When the lines a, b, & c are parallel, the line intersecting them forms angles that are vertical, supplementary and/or corresponding and congruent.

Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°

Angles 1 and 2 are also supplementary, another 180°

But we don't know the measure of angle 3, so getting an exact sum is impossible here.

5 0
3 years ago
Compute.
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8 0
3 years ago
The volume of a cube is given by the expression 3 and its surface area is given by the expression 62, where s is the length of t
Zigmanuir [339]
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8 0
3 years ago
A raffle offers one $8000.00 prize, one $4000.00 prize, and five $1600.00 prizes. There are 5000 tickets sold at $5 each. Find t
Harman [31]

Answer:

The expectation is  E(1 )= -\$ 1

Step-by-step explanation:

From the question we are told that  

     The first offer is  x_1 =  \$ 8000

     The second offer is  x_2 =  \$ 4000

      The third offer is  \$ 1600

      The number of tickets is  n  =  5000

      The  price of each ticket is  p= \$ 5

Generally expectation is mathematically represented as

             E(x)=\sum  x *  P(X = x )

     P(X =  x_1  ) =  \frac{1}{5000}    given that they just offer one

    P(X =  x_1  ) = 0.0002    

 Now  

     P(X =  x_2  ) =  \frac{1}{5000}    given that they just offer one

     P(X =  x_2  ) = 0.0002    

 Now  

      P(X =  x_3  ) =  \frac{5}{5000}    given that they offer five

       P(X =  x_3  ) = 0.001

Hence the  expectation is evaluated as

       E(x)=8000 *  0.0002 + 4000 *  0.0002 + 1600 * 0.001

      E(x)=\$ 4

Now given that the price for a ticket is  \$ 5

The actual expectation when price of ticket has been removed is

      E(1 )= 4- 5

      E(1 )= -\$ 1

4 0
3 years ago
Solve 5t= 150 by using an inverse operation
Taya2010 [7]

Answer:

T=30

Step-by-step explanation:

1) inverse mean opposite, so they want us to solve this equation using the opposite operation

So we can see here that 5 is being multiplied with t, so we should perform the opposite operation, division.

So

5t=150

(divide both sides by 5)

T=30

Hope this helps

5 0
3 years ago
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