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

6x−5y=−4−7x+3y=−1

can be written in the form (DxD,DyD).

What is the value of Dx?

Answers

Answer 1

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:

[tex]6x - 5y = -4[/tex]

[tex]-7x + 3y = -1[/tex]

Matrix x is given by:

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

It's determinant is given by:

[tex]Dx = 6(-1) -(-4)(-7) = -6 - 28 = -34[/tex]

Thus, Dx = -34.

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


Related Questions

Fill in the missing numbers to complete the division problem.​Enter your answers in the boxes.6,957\div 7=6,957÷7=Remainder:

Answers

Answer:

6

Step-by-step explanation:

why because when you work this out 6,957÷7 your answer will be 993.8571...

so you take the hole number of the decimal and multiply it by 7 the answer should be subtracted from 6,957

There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble

Answers

4 marbles white bc 20-16=4
The probability is 80%
20 Marbles Total
16 Red
16/20=.8=80%

find the area of the following rectangle​

Answers

Answer: x+8

Step-by-step explanation:

Find the zeros of f (x) = 8x^2 - 1.
The zeros are x = ___and x___​

Answers

Answer:

x=[tex]\sqrt{2}[/tex]/4 and x=-[tex]\sqrt{2}[/tex]/4

Step-by-step explanation:

One method of solving is using the Quadratic Formula: -b ±[tex]\sqrt{b^{2}-4ac }[/tex]/2a, with a=8, b=0, and c=-1.

After plugging these values in you get -0±[tex]\sqrt{0^2-(4*8*-1)}[/tex]/2*8

After simplifying you get ±[tex]\sqrt{32}[/tex]/16

Because 32 is 2^5, you can simplify it to 4[tex]\sqrt{2}[/tex], which makes the equation ±4[tex]\sqrt{2}[/tex]/16, or ±[tex]\sqrt{2}[/tex]/4.

3. A cosmetic retailer surveyed 200 customers on which of their top two lipstick shades the
customers preferred. The results are shown in the table. Find the probability of randomly
selecting a customer who prefers the Pretty Pink shade, given they are among the group of 30-
year-olds?

Answers

Answer:

.440

Step-by-step explanation:

Based on the number of people in the 30 - 39 age group, the probability of picking one who prefers Pretty Pink is 0.440.

What is the probability of a Pretty Pink preference in 30 - 39?

This can be found as:

= Number of 30 - 39 year olds who preferred Pretty Pink / Total number of 30 - 39 year olds surveyed

Solving gives:

= 22 / (28 + 22)

= 22 / 50

= 0.440

Find out more on probability at https://brainly.com/question/24277936.

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-2x + 3y - 4 =0
Find the x-intercept and y-intercept of the line

Answers

Answer:

Step-by-step explanation:

To find the x-intercept, set y = 0 and solve for x.

-2x + 3y - 4 = 0

-2x + 3(0) - 4 = 0

-2x + 0 - 4 = 0

-2x - 4 = 0

-2x = 4

 x =  4/-2

  x = -2                    The x-intercept is -2

To find the y-intercept, set x = 0 and solve for y.

-2x + 3y - 4 = 0

-2(0) + 3y - 4 = 0

0 + 3y - 4 = 0

     3y - 4 = 0

     3y = 4

       y = 4/3           The y-intercept is 4/3

easy one - giving brainly!
CREATE 5 TOTAL. YOU CAN USE DECIMALS.​

Answers

Answer:

2:4

3:6

4:8

Step-by-step explanation:

Please help omg , this is so confusing and stressful if you do help I LOVE YOU

Answers

Answer:

20

40

60

80

Step-by-step explanation:

The ratios have to be equal so:

1/3 = x/60 Then use cross multiplication

3x = 60

x = 20

Second one

1/3 = x/120

3x = 120

x = 40

Third One

1/3 = x/180

3x = 180

x = 60

Fourth One

1/3 = x/240

3x = 240

x = 80

need help pleaseㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ​

Answers

the domain is all the real numbers, or (-infinite <x<infinite)

the range is y>=-4

axis of symetry is x= -1

vertex is (-1,-4)

the parabola opens upwards

x intercepts (-3,0) and (1,0)

y intercepts (0,-3)

find x if m<2=6x-12
a)12
b)9
c)6
d)-7

Answers

Answer:

12 ,,............,.,...,,,.

The value of x is 12 (Option a) if m∠2 = 6x - 12.

The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.

From the given information, we have:

m∠2 = 6x - 12

Since all angles of an equilateral triangle are equal, we can set up the equation:

m∠2 = m∠1 = m∠3

Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).

We can equate the measures of the angles:

y = 6x - 12

Now, let's solve this equation to find the value of x:

6x - 12 = y

Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).

6x - 12 = 60

Adding 12 to both sides:

6x = 72

Dividing both sides by 6:

x = 12

Therefore, the value of x is 12.

So, the correct option is: (a) 12

To know more about value, refer here:

https://brainly.com/question/22572776

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Which of the following statements must be true based on the diagram below

Answers

Answer:

i think its the 2nd and 4th

Step-by-step explanation:

3x-5y-7=0
X=2k-1.
Y=k

Answers

Answer:

x = 19

y = 10

Step-by-step explanation:

3x - 5y - 7 = 0

x = 2k - 1

y = k

3x - 5y = 7

x = 2y - 1

3 * (2y - 1) - 5y = 7

6y - 3 - 5y = 7

6y - 5y = 10

y = 10

x = 2 * 10 - 1

x = 19

3.6w=2(0.8w+12)
no link pls ill give you a brainlist

Answers

Hi there! I am GraceRosalia (SilentNature), and I hope my answer will help you!

3.6w=2(0.8w+12)

Use the Distributive Property:

3.6w=1.6w+24

Move all the constants to the left side:

3.6w-1.6w=24

2w=24

Divide both sides by 1.8 to isolate w:

w=12

Hope this helps you!! Please mark Brainliest!!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

W=12

Step-by-step explanation:

3.6w=2(0.8w+12)

3.6w=1.6w+24

Subtract 1.6w from both  sides

3.6w-1.6w=1.6w+24-1.6w

Simplify

2w=24

Divide both sides by 2

2w/2=24/2

Simplify

w=12

HELP ME AND ILL GIVE U BRAINLIST I PROMISE BUT ITS ONLY IF U GET IT RIGHT

Mother made a cake. the ratio of the flour is 2 cup to 1 cup. she used 4 cups of sugar how many cups of sugar did she use​

Answers

Answer:

if it says she used 4 cups of sugar then she used 4 cups of sugar?

but if she used 4 cups of flour then she used 2 cups of sugar

Step-by-step explanation:

Hope this helps! :)

Help me please help help help help

Answers

Answer:

area of trapezium:

a+b divided by 2, times by the height.

so its 8+20=28.

28/2=14.

14*14=196.

area=196

Step-by-step explanation:

Amal and Ji both rent out their food
trucks. The table shows the amounts
Amal and Ji charge per hour to rent their
food trucks.

Answers

Answer:

Amal and Ji rent the same amount of per hour but Amal had a starting fee of $75

Step-by-step explanation:

What is the probability of choosing an ace from a standard deck of 52 playing ?

Answers

Answer:

48/52

Step-by-step explanation:

The probability of picking up an ace in a 52 deck of cards is 4/52 since there are 4 aces in the deck. The odds of picking up any other card is therefore [tex]52/52 - 4/52 = 48/52.[/tex]

I hope this helps and have a great day!

The cost of printing different numbers of copies of a book is shown on the graph below.

Which equation represents the cost ,C, of printing n copies of the book?

Answers

Answer:B

Step-by-step explanation:200 times 2 is 400

100 points will mark BRAINLYEST

Answers

Answer:

Prompt - Select an image of an art work from smarthistory by looking at the "Histories of Art" tab.

Objective - This is an exercise to get comfortable with applying the language of art as well as the steps of the Art Analysis ChartActions (summarized below).

You must include in this exercise four short, clearly separated paragraphs (2-3 sentences) consisting of the concerns printed in bold:

1. description of the chosen image (include the image information: title, artist's name, year, medium, etc.) and say what you see.

2. analysis of what you see by saying what each element is achieving (e.g. "converging lines are used to draw our attention to the focal point.")

3. interpretation of the image by saying what the work is about and what it means.

4. evaluation of the image by talking about where you think the "value" lies in your chosen image, and explain why. The term value here is not in the context of light or dark as in formal attributes. It refers to what is significant in the work of art you are analyzing, and how successful or unsuccessful it has been executed. Evaluation here is an exercise in reasoning/arguing based on your previous three paragraphs.

20+25+65 using GCF and the distributive property

Answers

Answer: 110

Find the prime factors of each term in order to find the greatest common factor (GCF).

Find the GCF 20+25+65

I need help on this problem i dont know if the answer is: 16 or 48,but i dont know for sure so if my guess if wrong please tell me.**Thank you so much if you help me will make brain if you answer correctly!** =3
*no links!*

Answers

Answer:

You will need 32 ounces

Step-by-step explanation:

2 pounds x 16 = 32 ounces

300 cal / 3 oz = x / 32 oz

(300 * 32) / 3 = 3,200 calories

All of the following are equivalent except _____.

(-2) 4
-2 4
(-2)(-2)(-2)(-2)
2 4

Answers

(-2) 4 is -8
-2(4) -8
(-2)(-2) is 4 (-2) is -8 (-2) is -16
2 4 is 8
if the question is referring to the only positive number it's D. If it's referring to the only different number it's -16

Answer:

a. -2 4

Step-by-step explanation:

Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid. For how much did he sold the video game? please help, WITH EXPLANATION ASWELL !!​

Answers

Answer:

£22.8

Step-by-step explanation:

Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid.

First, find

40% of £38

=£15.2

Then, find the price of which he sold the video game for...

£38 – £15.2

= £22.8

Hope this helped you- have a good day bro cya)

Simplify the expression to a + bi form:
(11 + 9i)2

Answers

Answer:

22+18i

Step-by-step explanation:

distribute the 2

22+18i

-5-3x>2(10+2x)+3
help

Answers

Answer:

x < - 4

Step-by-step explanation:

- 5 - 3x > 2(10 + 2x) + 3 ← distribute parenthesis and simplify right side

- 5 - 3x > 20 + 4x + 3

- 5 - 3x > 4x + 23 ( add 3x to both sides )

- 5 > 7x + 23 ( subtract 23 from both sides )

- 28 > 7x ( divide both sides by 7 )

- 4 > x , that is

x < - 4


Which statement is true about 737
O A) It is a prime number
OB) It is a composite number,
OC) It is a whole number that is neither prime nor composite
OD) It is not a whole number,

Answers

Answer:

A) It is a prime number

Step-by-step explanation:

Option A, is true about 73

As it is a prime number because it has only two distinct divisors: 1 and itself (73)

I'm pretty sure it's B because 737 isn't a prime number but 73 is a prime number

Solve for x

33=x/2+15

Answers

Answer:

[tex]x=36[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.

Therefore, [tex]x = 36[/tex].

To check your answer, apply 36 to where [tex]x[/tex] is.

[tex]33=\frac{36}{2} +15[/tex]

⇒ [tex]33=18+15[/tex]

[tex]18+15=33[/tex]    ☑

Answer:

[tex]\boxed{\sf x=36}[/tex]

Step-by-step explanation:

[tex]\sf 33=\cfrac{x}{2}+15[/tex]

[tex]\boxed {\sf Multiply\: both \:sides \:by \:2}[/tex]

[tex]\sf 66=x+30[/tex]

Swap sides so that all the variable terms are on the left hand side:

[tex]\sf x+30=66[/tex]

[tex]\boxed{\sf Subtract \:30\: from \:both \:sides}[/tex]

[tex]\sf x=66-30[/tex]

[tex]\boxed{\sf Subtract \: 30\: from \:66}[/tex]

[tex]\sf x=36[/tex]

_________________________

the length of a rectangular field three times of it's breath.if the area of the field is 675 m2, find the perimeter

with full solution ​

Answers

L/W = 3/1 or L = 3*W

A = L*W = (3*W)*W = 3*W^2 = 675 m^2

W^2 = (675 m^2)/3 = 225 m^2

W = sqrt(225 m^2) = 15 m

L = 3*W = 3*(15 m) = 45 m

what is the x intercept to x+4y=8

Answers

Answer:

The x-intercept is 8.

Step-by-step explanation:

To find the x-intercept, set y = 0 and solve for x

x + 4y = 8

x + 4(0) = 8

x + 0 = 8

x = 8                        The x-intercept is 8

If the length of the legs of a right triangle are 5 meters and 7 meters, what is the length of the hypotenuse to the nearest tenth of a meter?

Answers

Answer:

8.6 meters

Step-by-step explanation:

a² + b² = c²    means        leg² + leg² = hypotenuse ²

5² + 7² = hypotenuse²

25 + 49 = hypotenuse²

74 = hypotenuse ²

[tex]\sqrt{74}[/tex] = hypotenuse

8.6 = hypotenuse