6X + 8Y - 4Z = 5 1X + 2Y + 5Z = 9 9X - 3Y + 3Z = 6 resolverlo por metodo de Gauss jordan

Answers

Answer 1

Responder:

x = 4.48

y = 4.86

z = -1.04

Explicación paso a paso:

Dadas las ecuaciones simultáneas;

6X + 8Y - 4Z = 5 .... 1

1X + 2Y + 5Z = 9 ... 2

9X - 3Y + 3Z = 6 .... 3

Primero necesitamos reducir el sistema de ecuaciones

Ecuación 1 * 1

Ecuación 2 * 4

__________

6X + 8Y - 4Z = 5

4X + 8Y + 20Z = 36

Restar

6x-4x - 4z-20z = 5-36

2x-24z = 31 ... 4

también

ecuación 2 * 3

ecuación 3 * 2

_______________

1X + 2Y + 5Z = 9 * 3

9X - 3Y + 3Z = 6 * 2

_______________

3x + 6y + 15z = 27

18x - 6 años + 6z = 12

Agregar

3x + 18x + 15z + 6z = 27 + 12

21x + 21z = 39 ...... 5

Resolviendo 4 y 5

2x-24z = 31 ... 4 * 21

21x + 21z = 39 ...... 5 * 2

____________

42x - 504z = 651

42x + 42z = 78

Sustraer

-504x - 42z = 651-78

-546z = 573

z = -573/546

z = -1.05

Sustituye z = -1.05 en 4

De 4;

2x-21z = 31

2x - 21 (-1,05) = 31

2x + 22,04 = 31

2x = 31-22.04

2x = 8,96

x = 8,96 / 2

x = 4,48

Obtener y

De 2:

X + 2Y + 5Z = 9

4.48 + 2y + 5 (-1.04) = 9

2 años + 4,48-5,2 = 9

2y = 9 + 0,72

2 años = 9,72

y = 9,72 / 2

y = 4,86

Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)


Related Questions

1. If AABD - AHGE and AC and HF are angle

bisectors, find x.

B

G

F

24

. م

X

35

E

14

H

Answers

Answer:

9.6

Step-by-step explanation:

Find the diagram attached. Using the similarity theorem of triangles

AC/AD = FH/EH

Given

AC = 24

AD = 35

FH = x

EH = 14

Substitute into the formula

24/35 = x/14

Cross multiply

35×x = 24×14

35x = 336

x = 336/35

x = 9.6

Hence the value of x is 9.6

Translate the pre image
(x+12, y+11)

what are the coordinates of the image?

Answers

Answer:

-12 , -11

0,0

12, 11

24, 22

Step-by-step explanation:

Mike's younger brother likes to ride his bike. If the wheels have a radius of 25 cm, determine how far the wheel travels in 2 revolutions.

Answers

Answer:

Intwo full revolutions,the wheel will travel 314 cm

Step-by-step explanation:

Recall that in one full revolution, the wheel will tavel the length of the wheel's circumference, That is:

In each revolution the wheel will cover 2 pi R = 2 * 3.14 * 25 cm =  157 cm

Therefore, in2 full revolutions, the wheel will cover twice this amount:

In 2 revolutions the wheel will travel: 2 * 157 cm = 314 cm.

Answer:

410

Step-by-step explanation:

. Seven cards are numbered from 1 to 7 and placed in a box. One card is selected at random, then replaced. Another
card is randomly selected. What is the probability of selecting two odd numbers?

Answers

Answer:

Im not sure, but I can give advice!

Step-by-step explanation:

Study and wach yt vids (: hope I helped a bit!

Answer:

25/59

Step-by-step explanation:

Since there are 5 odd cards and 7 cards total, the probabilty of drawing an odd card is 5/7.

he probability of two events happening is the probability of each multiplied together, so multiply 5/7 by 5/7 to get 25/49.

Let n(x) = x2+2,
Find x, given n(x) = 83

Answers

Answer:

answer is 0

Step-by-step explanation:

I need this please help me

Answers

A.) 5/3
B.) 6
C.) undefined
D.) zero slope

Cario George $7 if she borrowed $2 from him how much does she owe

Answers

Answer:

$2

Step-by-step explanation:

George borrows $2 so he owes $2.

help ASAP help 100 points

Answers

Answer:

the correct choice would be the last choice!

Step-by-step explanation:

Answer:

D) 23.5

Step-by-step explanation:

First solve for x² + y³, which inserting the numbers would be 4² + 5³. This is also 16 + 125 or 141. Now solve for the bottom: 2 + x or 2 + 4 to get 6. Divide 141/6 to get 23.5.

Hope it helps!

Pls help!!!!!!!!!!!!

Answers

12334556

Step-by-step explanation:

but I hope u figured out the answer

PLEASE HELP FAST!!!!!

Each day, a plant grows to a height that is 20% taller than it was the previous day. The expression (1+0.2)^d represents the plant’s height after d days if its original height is 1 inch. Another plant with the same growth rate is described by the expression 1.75(1+0.2)^d.

Part A) What does 1.75 represent in the second expression?


Part B) Interpret the meaning of the expression 1.75(1+0.2)^d in this context.

Answers

Answer:

A: the starting height?

B: a plant with a starting height of 1.75 grows to a height 20% taller than its previous height?

Step-by-step explanation:

Please show work :) thanks for the help.

Answers

Answer:

-3f

0

f1

Step-by-step explanation:

(x = -3) f x -3 -3f

(x = 0) f x 0 = 0

x = 1) f x 1) f1

Plzz answer all odd questions if not all plzzz do at least 4 and show work. I will give brainliest to the one with the most correct questions answered with work shown this all my points so plzz answer correctly

Answers

1) x^2=36
x=6

3) x^2-8x+13=0 —> x= (8±√64-4(1)(13))/2(1)
x=4±√3

5) x^2-6x+9-k=0 —> x=(6±√36-4(1)(9-k))/2(1) —> (6±√4k)/2 —> (6±2√k)/2
x=3±√k

7) y=x^2-4x+11 —> y-11=x^2-4x —> take the half of the coefficient of the single x term and square it and add it on both sides —> y-11+4=x^2-4x+4 —> y-7=(x-2)^2 —> y=(x-2)^2+7
Minimum: (2,7)
Maximum: n/a
X intercepts: none (never crosses the x-intercept)

9) y=x^2+2x-8 —> y+8+1=x^2+2x+1 —> y=(x+1)^2-9
Minimum: (-1,-9)
Maximum: n/a
x-intercepts: (x+4)(x-2) —> (-4,0),(2,0)

11) c

13) (x+7)(x+3)

15) x=(-6±√36-4(1)(10))/2 —> x=(-6±√-4)/2 —> (-6±2i)/2
x=-3±i OR no real solutions

I NEED YOUR HELP FAST Which number is represented by point E on the graph?
A number line going from negative 4 to positive 4. Point D is between negative 3 and negative 2. Point B is between negative 2 and negative 1. Point E is between negative 1 and 0. Point C is between 2 and 3. Point A is between 3 and 4.
3 and one-half
Negative 0.25
Negative 1.75
Negative 2 and one-half

Answers

Answer:

The number that is represented by point E is -0.25

Step-by-step explanation:

Point E is between -1 and 0, -0.25 is also between -1 and 0, so the number that is most likely to be represented by point E is -0.25.

2(6x + 3) = 18 - 3(16 - 3x)​

Answers

The answer is -12
Hope this helps :)

what equals 29 in multiplation

Answers

Answer: the only thing there is 1x29

Step-by-step explanation: hope it helps

the community center built a new playground. The sections of the playground are geometric shapes, shown in the picture below

What is the total area of the surface of the entire playground in square feet (use 3.14 for pi)

Answers

Answer:

area =  2348 ft^2

Step-by-step explanation:

(15 x 40) + (28x40) + Pi(20^2)(0.5) = area

area = 600 + 1120 + 628 = 2348 ft^2

Answer:

Step-by-step explanation:

So we have a half circle, a rectangle, and a triangle.

circle area is A=3.14r^2 and the radius is 40/2=20, since we only have half a circle

A=3.14(20^2)/2=628ft^2

The rectangle has an area A=LW=28(40)=1120ft^2

The triangle has area A=bh/2=40(15)/2=300ft^2

So the total area is

A=628+1120+300=2048ft^2

Suppose that 65\ee, percent of the 310{,}000310,000310, comma, 000 citizens in a county are registered to vote. A not-for-profit organization takes an SRS of 100100100 of these citizens and finds that 67\gg, percent of those sampled are registered to vote. The organization plans on taking repeated samples like this. What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are registered to vote

Answers

Answer:

mean= 0.65

standard deviation=[tex]\sqrt{\frac{0.65(0.35)}{100}[/tex]

Step-by-step explanation:

The mean of the sampling distribution is 0.65 and the standard deviation is approximately 0.004779.

What is the standard deviation?

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The mean of the sampling distribution of the proportion of citizens who are registered to vote is equal to the proportion of all citizens who are registered to vote, which is 65% = 0.65.

The standard deviation of the sampling distribution is equal to the standard error of the proportion, which can be calculated as follows:

standard error = √((65% × 35%) / 100)

= √((0.65 × 0.35) / 100)

= √(0.0227 / 100)

= √(0.0000227)

= 0.004779

Therefore, the standard deviation is approximately 0.004779.

Learn more about the standard deviation here:

brainly.com/question/14747159

#SPJ5

Manny grows vegetables in a community garden.
His part of the garden is a rectangular area that is 6 yards long and 5 1/3 yards wide. What is the area of Manny’s garden? Be sure to include units in your answer.

Answers

Answer:

32 yards (squared)

Step-by-step explanation:

Length x width = area (LxW=A)

Step 1:

Length = 6 yards

Width = 5 1/3 yards

Step 2:

Multiply 6 x 5 1/3 because 6 is the length, 5 1/3 is the width, and LxW=A.

6 x 5 1/3 = 32 yards (squared)

The figures are similar. Find x

Answers

Answer:

x = 15

Step-by-step explanation:

The scale factor is 8:20, we need to set up a proportion

Setting up the proportion:

[tex] \frac{8}{20} = \frac{6}{x} [/tex]

cross-multiply

8x = 120

x = 15 | Divide both sides by 8

X=15 I copied the other person for points

someone please pass the answers to this

Answers

Answer/Step-by-step explanation:

1. The figure is composed of a triangle and a rectangle.

Area of the triangle = ½*base*height

base = 4 ft

height = 12 - 8 = 4ft

Area of triangle = ½*4*4 = 8 ft²

Area of rectangle = length * width

Length = 8 ft

Width = 4 ft

Area of rectangle = 8*4 = 32 ft²

✔️Area of the figure = 8 + 32 = 40 ft²

2. The figure is composed of a semicircle and a triangle

Area of the semicircle = ½(πr²)

radius (r) = 3 cm

π = 3

Area = ½(3*3²) = 13.5 cm²

Area of triangle = ½*base*height

base = 3*2 = 6 cm

height = 6 cm

Area = ½*6*6 = 6 cm²

✔️Area of the figure = 13.5 + 6 = 19.5 cm²

What is the value of x in 145.95-2x=-4.05?

Answers

145.95 - 2x = -4.05
subtract -145.95 from both side of the equation
-2x = -4.05 - 145.95
-2x = -150
Divide both sides by -2
-2x/2 = -150/2

x = 75
Final answer

Hope this helps!!!!

5/8 for j who grow the most?
3/4 for s
3/12 for r
1/2 for l

Answers

B. Sasha

Step-by-step explanation:

3/4 is larger than all the other fractions

Lonnie (D) grew the most because he grew .5 inches and no one else grew more than him

how to convert 48 into a percent

Answers

Answer:

0.48

Step-by-step explanation:

48 divided by 100= 48

have a great day

and hope this helped!

Answer:

48 divided by 100= 48

have a great day

and hope this helped!

Step-by-step explanation:

State the postulate or theorem you would use to prove each pair of triangles congruent. If the triangles cannot be proved congruent, pick not possible

Answers

You would use the SSS, ASA, AAS, RHS theorems to prove two triangles to be congruent.

The triangles can be proven similar by the congruent theorem of triangles

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the two triangles be ABC and DEF

Now , the two triangles will be similar if

The three sides are equal

So , AB = BC = CD and

DE = EF = FD

And the two triangles are congruent if

By ASA theorem - two angles are the same and a corresponding side is the same

And ,

By SAS theorem : Two sides are equal and the angle between the two sides is equal

And ,

By RHS theorem : A right angle, the hypotenuse and a corresponding side are equal

Hence , the triangles ABC and DEF is similar ΔABC ≅ ΔDEF

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ2

I need some help please help it’s 100% of my grade

Answers

3x-6+4=-20

3x-2=-20

3x=-18

x=-6

Sam started his savings account with $200 and will be adding $25 a week to the account. Marc started his savings account with only $50 and will be saving $25 a week. When will Sam and Marc have the same amount of money in their savings accounts?

Answers

The correct answer is 2319+46282(2828)-28272) = x28281

types of quadrilaterals and their properties​

Answers

Answer:

types of quadrilaterals are square, rectangle, parallelogram, rhombus, trapezium, and kite.

Step-by-step explanation:

They have many distinctive properties related to their sides, angles, and diagonals.

A quadrilateral, In general, has sides of different lengths and angles of different measures.

Answer:

Trapezium Properties-One pair of parallel sides.

Rhombus-Properties all sides are equa

Trapezoid Properties-Has one pair of opposite parallel sides

Step-by-step explanation:

pls answer fast. sydni's....

Answers

Answer:

1 in =4 ft

Step-by-step explanation:

Divide 32by 8 and 40 by 10

Answer:

1 inch equals four 4 because 32 divided by 4 is 8 and 40 divided by 4 is 10

Step-by-step explanation:

1/2 (16x + 20)
Need help

Answers

Answer: let's say x = 1

16 x 1 =16

16+20=36

36x1/2=18

Step-by-step explanation:

Kari, a biologist, is getting ready for a new study of tropical fish. She needs to fill the tank with precisely 5 gallons of water. She uses a quart container.

8 fluid ounces = 1 cup. 2 cups = 1 pint. 2 pints = 1 quart. 4 quarts = 1 gallon.

How many times will Kari have to fill the container to make 5 gallons?
10 times
15 times
20 times
25 times

Answers

20 times because 4 quarts = 1 gallon so 4x5=20

Answer:

20 times is correct

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