Find the solution to the system represented by this matrix

Find The Solution To The System Represented By This Matrix

Answers

Answer 1

Answer:

[tex]$x=\frac{-1}{5},[/tex]

[tex]y=\frac{2}{5},[/tex]

[tex]z=3$[/tex]

Step-by-step explanation:

Given system of equations in the form of the matrix shown below,

[tex]$A=\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right] \quad B=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{ccc}1 & -2 & 0 \\ 1 & 3 & 5 \\ 1 & -1 & -1\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{ccc}2 & -6 & -4 \\ -2 & -1 & 1 \\ -10 & 5 & 5\end{array}\right]\left[\begin{array}{c}4 \\ -1 \\ 3\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}8+6-12 \\ -8+1+3 \\ -40-5+15\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\frac{1}{-10}\left[\begin{array}{c}2 \\ -4 \\ -30\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}\frac{2}{-10} \\ \frac{-4}{-10} \\ \frac{-30}{-10}\end{array}\right]$[/tex]

[tex]$\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{c}-1 / 5 \\ 2 / 5 \\ 3\end{array}\right]$[/tex]

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Related Questions

List the common multiples of 3 and 7 up to 70.
:)

Answers

Answer:

The common multiples of 3 and 7 are 21 ,42 and 63

Answer:

21 , 42 and 63 are the common multiples of 3 and 7

help is highly appreciated

Answers

Answer:

Step-by-step explanation:

2-(-1\8)±-7\4 then

2 plus 1\8 plus -7\4

2 plus 1\8 plus -14\8

2 -13\8

2= 16/8

3\8?

Answer:

3/8

Step-by-step explanation:

Substitute given information into given equation

b=2, c=-7/4

2-(-1/8) + - 7/4

Make 2 into 16/8 (by multiplying it by 8/8 To make denominator the same)

16/8 -(-1/8) + -7/4

17/8 (Because when negative and negative will make positive)

17/8+ -7/4

Make -7/4 into -14/8 (by multiplying it by 2/2 To make denominator the same)

17/8 -14/8 (Because negative and positive will make negative)

3/8 is the final answer

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

You are making balloon bunches to attach to tables for a charity event. You plan on using 8 balloons in each bunch. Write a rule for the total number
of balloons used as a function of the number of bunches created. Identify the independent and dependent variables. How many balloons will you use if you make 10 bunches?

Answers

Answer:

80 balloons

Step-by-step explanation:

Identifying Objects
Which statements are true based on the diagram?
Check all that apply.
H
Points A, B, and D are on both planes,
Point H is not on plane R
Plane P contains point E
Points C, D, and A are noncollinear
The line containing points F and G is on plane R.
The line containing points F and His on plane R.
c
A
P
D
E
B
.G
Done
Intro

Answers

Answer:

hi need somebody to talk to pls

Step-by-step explanation:┗( T﹏T )┛〒▽〒

What is the least number to be multiplied with 'm' to make it perfect cube?

Answers

-----------------------------

what does it mean for an expression to be unidentified.​

Answers

Answer:

It means that the denominator is equal to zero. Hope that helps.

Step-by-step explanation:

Answer:

Step-by-step explanation:

which can't be solved under given instructions e.g,finding the squareroot of a negative number in real numbers ,dividing by zero etc.

is -15 an integer and rational number?​

Answers

Answer:

I guess it would help you

i hope this helps i’m not to sure if it is a integer or a rational number

PLZZZ I will give brainiest and 90 points PLZZZZZZ question 6 is soo confusing plzzz

Answers

Answer:

simple its 16

Step-by-step explanation:

Answer:

That's so easy the square units are 5

Step-by-step explanation:

hope it will help you

28. What type of angle is formed by perpendicular lines? The model is in the photo!!

Answers

90° angles are formed with perpendicular lines

Answer:

If two lines meet or intersect at a point to form a right angle, they are called perpendicular lines!

Step-by-step explanation:

9 of the students in Sarah's grade like to watch football and 12 like to watch figure skating. 7 students like to watch both football and figure skating. How many students like to watch football but not figure skating?

Answers

Answer:

Step-by-step explanation:

Total for football: 9 +7

Total for figure skating: 12 +7

NEW Total for football: 16

NEW Total for figure skating: 19

The question says that 9 people like football

The question says that 12 people like to watch figure skating

The question also says that 7 people like to watch both, and because of that, you should add 7 to both 9 and 12, but keep the new numbers separated from each other. So once we know the sum of 9 +7 is 16, and 12 + 7 is 19, we can subtract the two numbers, and get 3 as the answer. Because you are counting the number of times that you have to travel up or down to the other number, and so if you are on a set of stairs that go up to the 16 level and you are on the 14th level, you need to travel up 2 sets of stairs to get to level 16.

Hope that example helps and can help in the future with other problems!

Which number line represents the solutions to the inequality 9x + 2 5 6x - 4?

Answers

Answer: i 99% that it is B

Step-by-step explanation:

What expressions are equivalent to -15 ÷ 23? A. 15/-23 B. - 15/23 C. -23/+15 D. 15/23 E. 23/-15​

Answers

Answer: the answer is C

Step-by-step explanation: if you just look at it it tells you the answe so the answer is C

Convert 37.45 to a fraction

Answers

Answer:

37   9/20

Step-by-step explanation:

Answer:

[tex]{ \bf{answer \: is \: { \underline{37 \frac{9}{20} }}}}[/tex]

Step-by-step explanation:

When converting to fraction, you must get to know about the place values.

3 » tens

7 » ones

.4 » tenth

5 » hundredth

since last place value is hundredth, fraction denominator must be 100

therefore:

[tex]37.45 = \frac{3745}{100} [/tex]

then you can reduce by 5:

[tex] = \frac{3745 \div 5}{100 \div 5} \\ \\ = \frac{749}{20} [/tex]

In mixed fraction:

[tex] = 37 \frac{9}{20} [/tex]

Can anyone help me ASAP

Answers

Answer: its not loading

Step-by-step explanation:

I got 35.81 as the area I think it’s right I haven’t done this for a while

Number 13 help please

Answers

Answer:

a) 2>-3

b) 0>-4

Step-by-step explanation:

The way I was taught to remember this was, this < represents a crocodile, so whichever number is bigger, it eats that, which means it is facing the bigger number.

Hope this helps :)

Answer:

A. -3<2

B.-4<0

Hope this help

Find the equation of the line through (-7, -2) that is perpendicular to the line y = x/3+6.
Give your answer in the form y = mx + b.

Answers

Answer:

y = −3x − 23

Step-by-step explanation:

The equation of the line in the slope-intercept form is y= x/3 + 6.

The slope of the perpendicular line is negative inverse: m = −3.

So, the equation of the perpendicular line is y = −3x + a.

To find a, we use the fact that the line should pass through the given point:

−2 = (−3) ⋅ (−7) + a.

Thus, a = −23.

Therefore, the equation of the line is y = −3x − 23.

Answer: y =−3x − 23

Select the correct answer. What is the factored form of this expression? 216p^6+1

A: (6p^2-1) (36p^4+6p^2+1)
B: (3p-1) (3p+1) (36p^4+6p^2+1)
C: (3p-1) (3p+1) (6p^2-p^2+1)
D: (6p^2) (36p^4-6p^2+1)

Answers

Answer:

Option A

Step-by-step explanation:

[tex]216p {}^{6} + 1[/tex]

216p⁶ - 36p⁴ + 6p² + 36p⁴ - 6p² + 1

6(36p⁶ - 6p⁴ + p²) + 1(36p⁴ - 6p² + 1)

6(36p⁴ - 6p² + 1) × p² + 1(36p⁴ - 6p² + 1/

(6p² - 1)(36p⁴ + 6p² + 1)

the proceeds from a car wash are directly proportional to the number of cars washed. the total after 9 cars was $180.

a. how much can be raised if 60 cars are washed? __

b. if $1,500 was earned from the car wash, how many cars were washed? __

Answers

Answer:

a) 1200

b) 75

Step-by-step explanation:

HELP ME GUYS I AM ILLITERATE

find the size of unknown angle

Answers

Answer:

Step-by-step explanation:

ΔAOC is an isosceles triangle as OC = OA ----> RADIUS

42 + 42 + ∠AOC = 180   {Angle sum property}

       84 + ∠AOC = 180

              ∠AOC = 180 - 84

∠AOC = 96°

y = 96/2    {Central angle theorem}

y = 48° ------------(I)

∠B + ∠D = 180    {sum of opposite angles of Cyclic  Quadrilateral}

x + y = 180

x + 48 =  180        {from (I) }

x = 180 - 48

x =  132°

Answer:

x =  132°

Step-by-step explanation:

ΔAOC is an isosceles triangle as OC = OA ----> RADIUS

42 + 42 + ∠AOC = 180   {Angle sum property}

      84 + ∠AOC = 180

             ∠AOC = 180 - 84

∠AOC = 96°

y = 96/2    {Central angle theorem}

y = 48° ------------(I)

∠B + ∠D = 180    {sum of opposite angles of Cyclic  Quadrilateral}

x + y = 180

x + 48 =  180        {from (I) }

x = 180 - 48

x =  132°

What is 7 divided by -84 SHOW WORK PLS

Answers

7 ÷ -84 = -7/84 because a positive divided by a negative gives a negative answer.

Now you need to reduce the fraction.

Both 7 and 84 are divisible by 7
7 = 1*7
84 = 12*7

-7/84 = -1/12

Answer:

-7/84 or -1/12

Step-by-step explanation:

If you have 2 millionaire dollars and 5 Million and you give your whole family how much is that.

Answers

So it depend's how much if you have 2million dollars and 5million dollars you have 7 million dollars.

So if you have 7 family member divde 7 million by 7 then you'll get 1 million so everyone get's 1 million

Total money :-2million+5million=7million

There are total members =4(Suppose)

Each get:-

[tex]\\ \bullet\sf\leadsto \dfrac{7}{4}[/tex]

[tex]\\ \bullet\sf\leadsto 3.5million[/tex]

Simplify
2/g x 3/h.

Answers

Answer:

6x over gh

hope this helps

The histogram represents the distribution of lengths, in inches, of 25 catfish caught in a lake.

1. If possible, find the mean. If not possible, explain why not.

2. If possible, find the median. If not possible, explain why not.

3. Were any of the fish caught 12 inches long?

4. Were any of the fish caught 19 inches long?

Answers

An histogram provides a good visualization of data, however, the values of the data points are left out in an histogram

The correct responses are as follows;

1. The possible mean is given as follows;

Mean = ∑(fx)/(∑f)

Using the central values, we have;

Estimate of the Mean = (4.5×4 + 7.5×9 + 10.5×5 + 13.5×6 + 16.5×1)/(1 + 9+ 5+ 6+ 1) ≈ 10.7

2. The median is the middle value class

The total area of the histogram is given as follows

3 × (4 + 9 + 5 + 6 + 1) = 75

The middle value is located at half the total area = 75/2 = 37.5

The median class is the class of catfish with length 6 - 9 inches

3. There where 5 fishes caught that have lengths between 9 and 12 inches and there where 6 fishes caught that are 12 to 15 inches long

4. No, the longest fish caught was 18 inches long

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A histogram enables a better data visualization, but that the values of the datasets in the histogram have been left out.

Following are the responses to the given points:

The potential mean is provided as follows;

        Mean [tex]\bold{= \frac{\Sigma(fx)}{(\Sigma f)}}[/tex]

        We use the central values;

        Estimate of the Mean:

                   [tex]\bold{= \frac{(4.5\times 4 + 7.5 \times 9 + 10.5\times 5 + 13.5\times 6 + 16.5 \times 1)}{(1 + 9+ 5+ 6+ 1)}} \\\\ \bold{= \frac{18 + 67.5 + 52.5 + 81 + 16.5}{22}} \\\\ \bold{= \frac{235.5}{22}} \\\\ =\bold{10.704 \approx 10.7}[/tex]

The median is the middle class

        The entire histogram area is shown as follows:

          [tex]\to \bold{3 \times (4 + 9 + 5 + 6 + 1)= 3 \times (25)= 75}[/tex]

          This same average value is half the entire area [tex]\bold{= \frac{75}{2} = 37.5}[/tex]

          The average class seems to be catfish 6 - 9 inches long.

There have been 5 fish caught between 9 and 12 inches long, there have been 6 caught fish between 12 and 15 inches long.No, 18 inches have been the longest caught fish.

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Urgent help needed!!!!!Find a+b+c=120 if a,b and c are prime consecutive numbers​

Answers

Answer:

im not sure soooo sorry

Step-by-step explanation:

im horrible at math, wish i could help honestly

What is the degree of rotation that takes quadrilateral FGHI to F'G'H'I?

Answers

Answer:

What is the degree of rotation that takes quadrilateral FGHI to F'G'H.

Step-by-step explanation:

The figure will have 180 degrees of rotation.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

The angle of rotation is a unit of measurement in mathematics that expresses the angle at which a figure is rotated about a given point, frequently the center of a circle.

Given that the figure FGHI is translated to become F'G'H'I. Each point of the given diagram must be changed from (x, y) to (z) when it is rotated 180 degrees around the origin, either clockwise or counterclockwise (-x, -y)

Here the point H of the figure changes from ( -4,5) to (4,-5). It shows that the degree of rotation of the figure is 180.

Therefore, the figure will have 180 degrees of rotation.

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30 POINTS MATH HELP PLEASE

Answers

you have to see the sum of each number than determine if it is negative or positive

find the unknown angles

Answers

Answer:

Step-by-step explanation:

∠WZA + WZY = 180     {linear pair}

88 + ∠WZY = 180

∠WZY = 180 - 88

∠WZY = 92°

∠WXY + ∠WZY = 180     {Opposite angle in cyclic quadrilateral}

x + 92 = 180

       x = 180 - 92

x = 88°

Help Pls!

A pile of 15 boxes is 3 metres high. What is the depth of each box?​

Answers

I think it is the answer is 200 mm

8. Use words to describe the following sequence. Then find
(2) the next three numbers in the sequence.
49, 64, 81, 100, ..
...

Answers

Did you get the answer?

Cuánto equivale 5/6 a decimales

Answers

Solución: 5/6 es equivalente a 0.833 en números decimales.

The 0.83 is an appropriate approximation for 5/6 when rounded to two decimal places.

To express the fraction 5/6 as a decimal, we perform the division: 5 ÷ 6. The quotient is 0.833333... (repeating). To represent this as a decimal within a limited space, we round it to a certain number of decimal places.

In this case, rounding to two decimal places, the result is approximately 0.83. The ellipsis indicates that the decimal goes on infinitely with the repeating 3s. However, when rounded to two decimal places, we use the following rules: If the third decimal place is 5 or greater, the second decimal place is increased by 1; otherwise, it remains unchanged.

Thus, 0.83 is an appropriate approximation for 5/6 when rounded to two decimal places.

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