1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
agasfer [191]
2 years ago
5

Using Cramer's Rule, the solution to the system of equations

Mathematics
1 answer:
Schach [20]2 years ago
7 0

Using Cramer's rule it is found that Dx = -34.

In Cramer's rule, we have three matrices.

  • x is a matrix in which the first column is the coefficients that multiply x, and the second are the coefficients on the right side of the equality.
  • y is a matrix in which the first column is composed by the coefficients on the right side of the equality and the second is the coefficients that multiply y.
  • M is a matrix in which the first column is the coefficients that multiply x, and the second is the coefficients that multiply y.

In this problem, the system is:

6x - 5y = -4

-7x + 3y = -1

Matrix x is given by:

x = \left[\begin{array}{ccc}6&-4\\-7&-1\\\end{array}\right]

It's determinant is given by:

Dx = 6(-1) -(-4)(-7) = -6 - 28 = -34

Thus, Dx = -34.

A similar problem is given at brainly.com/question/24749091

You might be interested in
If f(x) = 6x – 4, what is f(x) when x = 82
sleet_krkn [62]

Answer:

f(x) = 488

Step-by-step explanation:

first you plug in 82 in for x then you multiply by 6 times 82 and you get 492 then you subtract 4 and you get 488

4 0
3 years ago
Read 2 more answers
Please answer with explanation if nonsense answers I will report so please answer properly​
alexgriva [62]

Answer:

  • x = 2

Step-by-step explanation:

<u>We know that</u>

  • The diagonals of a rectangle are of equal length
  • The diagonals bisect each other

<u>Considering the above we have:</u>

  • EG = HF = 2JF = 2JH

<u>Substitute the given values and solve for x:</u>

  • 24x - 8 = 2*(8x + 4)
  • 24x - 8 = 16x + 8
  • 24x - 16x = 8 + 8
  • 8x = 16
  • x = 16/2
  • x = 2
3 0
2 years ago
What are 3 equivalent ratios to 3:11
Helen [10]

Answer:

three equivalent ratios will be

6:22 , 9:33, 15:55

6 0
3 years ago
Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
erastovalidia [21]

Answer:

5.8

Step-by-step explanation:

Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

\frac{31}{43}=\frac{\text{KI}}{8}

Solving, we get:

\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}

5 0
3 years ago
A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given
pychu [463]

Answer: The distribution of the data set is positively skewed.

<u>Explanation: </u>

In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.

For symmetric distribution, Mean = Median=Mode

For positively skewed distribution, Mean > Median>Mode

For negatively skewed distribution, Mean < Median

The mean of the given data set is given below:

Mean = \frac{27+23+22+38+43+24+25+23+22+54+31+30+29+48+27+25+29+28+26+33+25+21+23+34+20+23}{26}

                =\frac{753}{26}

                =28.96

Now, the Median is:

To find the median we need to sort the data in ascending order as:

20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54

Median=\left(\frac{N+1}{2} \right)^{th} item

                   =\left(\frac{26+1}{2}\right)^{th} item

                   =13.5^{th} item

                   =26+0.5 \times (27-26)

                   =26.5

\therefore Median = 26.5

The mode is the most frequently occurring observation. Therefore the mode is:

Mode=23

Since the Mean >Median>Mode, therefore the distribution of the given data set is positively skewed.


5 0
3 years ago
Other questions:
  • Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
    7·1 answer
  • What is 2.31 divided by 3?
    12·2 answers
  • A random variable x is normally distributed with a mean of 100 and a variance of 25. Given that x = 110, its corresponding z- sc
    11·1 answer
  • 7/5 squared times blank equals 1
    5·1 answer
  • Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65.
    8·2 answers
  • I NEED HELP ON THIS ONE TO
    6·2 answers
  • List the next four multiples of each fraction 1/4
    13·1 answer
  • Question 2: use the image and your knowledge of the isosceles triangle to find the value of x
    10·1 answer
  • X + 2 = x + 2<br> how many solutions
    7·2 answers
  • Find the area of the figure.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!