B form.
Given the system of equations below, write the system in AX
- 112 - 13y = - 62
72 - 3y = 25
[3]
Il

B Form.Given The System Of Equations Below, Write The System In AX- 112 - 13y = - 6272 - 3y = 25[3]Il

Answers

Answer 1

Answer:

  [tex]X=\left[\begin{array}{cc}-5&2\\0&8\\8&1\end{array}\right][/tex]

Step-by-step explanation:

Solving the given matrix equation, we find ...

  X = (1/4)(C - B)

These operations, subtraction and multiplication by a scalar, are done on a term-by-term basis. A calculator or spreadsheet can do these for you.

For example, the middle right term (row 2, col 2) is ...

  (38 -6)/4 = 32/4 = 8

B Form.Given The System Of Equations Below, Write The System In AX- 112 - 13y = - 6272 - 3y = 25[3]Il
Answer 2

Answer:

[tex]X =\begin {bmatrix} -5 & 2\\0 &8\\8 & 1\end{bmatrix}[/tex]

Step-by-step explanation:

[tex] Given \:\: B=\begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix} \: and\: C=\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}[/tex]

To Solve: 4X + B = C

[tex]\implies 4X + \begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix}=\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}- \begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -12-8 & 6-(-2)\\-1 -(-1)& 38-6\\24-(-8) & -6-(-10)\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -12-8 & 6+2\\-1 +1 & 38-6\\24+8 & -6+10\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -20 & 8\\0& 32\\32 & 4\end{bmatrix}[/tex]

[tex]\implies X =\frac{1}{4}\begin {bmatrix} -20 & 8\\0& 32\\32 & 4\end{bmatrix}[/tex]

[tex]\implies X =\begin {bmatrix} \frac{-20}{4} & \frac{8}{4}\\\\\frac{0}{4}& \frac{32}{4}\\\\ \frac{32}{4} & \frac{4}{4}\end{bmatrix}[/tex]

[tex]\implies X =\begin {bmatrix} -5 & 2\\0 &8\\8 & 1\end{bmatrix}[/tex]


Related Questions

Evaluate the following expression
(10 + 2) = 6 + 53

Answers

Answer:12=59

Step-by-step explanation:

Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. The vertex of the parabola is at the the origin. Where should Gabe place the bulb to ensure a perfect beam of light?
(0,1)
(0,4)
(1,0)
(4,0)

Answers

Answer:

C. (1,0)

Step-by-step explanation:

If we make use of a parabolic reflecting mirror and a light source.

Given thar the equation of parabolic mirror is Y2 = 4ax

The given data in the problem is x = 1 and y = 2

So subject value is y2 = 4ax

4 = 4 a (1)

a = 1

So x = 1

thus focus is at (x, y) = (1,0)

Therefore, option C is correct answer.

Which pieces of information may be found on a person's credit report?

Select each correct answer.

past due bills

social security number

marital status

medical history

criminal record

mortgage payment

Answers

Answer:

Past due bills

social security number

mortgage payment

Find
a
and
d
for an arithmetic sequence where the 5th term is 10 and the 6th term is 8.

Answers

Answer:

Step-by-step explanation:

Arithmetic sequence:

[tex]\boxed{a_n =a + (n-1)*d)}[/tex]

a₅ = 10    a + 4d = 10

a₆ = 8     a + 5d = 8

Multiply the equation (I) by (-1) and then add. 'a' will be eliminated and we can find the value of 'd'

(I)*(-1)     -a - 4d = -10

(II)          a + 5d = 8     {Now add}

                     d = -2

Substitute d = -2 in equation (I)

 a + 4*(-2) = 10

 a -  8       = 10

           a   = 10 + 8

a =  18

a = 18 , d = -2

Sequence:  18 ,16 , 14 , 12 , 10 , ......

Find an equation of the line that goes through the points (8,-45) and (2,-9). Write your answer in the form y = mx + b.

Answers

Linear Equations

Linear equations are commonly organized in slope-intercept form:

[tex]y=mx+b[/tex]

m = slopeb = the y-intercept (the value of y when x=0)

To find the equation of a line given two points:

Determine the slope of the line using the slope formulaPlug the slope into [tex]y=mx+b[/tex]Determine the y-intercept by solving for bPlug the y-intercept back into the equation

Solving the Question

We're given:

The line passes through the points (8,-45) and (2,-9)

First, determine the slope using the following formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

⇒ Plug in the given points (8,-45) and (2,-9):

[tex]m=\dfrac{-45-(-9)}{8-2}\\\\m=\dfrac{-45+9}{8-2}\\\\m=\dfrac{-36}{6}\\\\m=-6[/tex]

Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=-6x+b[/tex]

Now, determine the y-intercept:

[tex]y=-6x+b[/tex]

⇒ Plug in one of the given points as (x,y) and solve for b:

[tex]-9=-6(2)+b\\-9=-12+b\\3=b[/tex]

Therefore the y-intercept of the line is 3. Plug this back into [tex]y=-6x+b[/tex]:

[tex]y=-6x+3[/tex]

Answer

[tex]y=-6x+3[/tex]

Can someone help me please?

Answers

Answer:

Wow that's a lot of questions. The answers are 2, 3/4, 4, 6, 10, 5, 48500, 48000, and 50000

Step-by-step explanation:

Hope this helped

Directions: Match each image of a ray with the correct way to write it.

Answers

Answer:

1 + G = Push in p To Much P

Step-by-step explanation:

g= gunnaaa 1+gunnaaa = push  ing P

write 12/root2 + root18 in the form broot2 where b is an interger

Answers

[tex]\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2[/tex]

Order from least to greatest the given numbers.
-5,13,4,-10,-1
A)
-5,-1,-10,4,13
B)
-10, 4, 13,-1,-5
C)
-10,-5, -1, 4, 13
D)
-5, -10,-1, 13,4

Answers

Answer:

Option C) is correct......

where do the graphs of f(x)=cos(x/2) and g(x)= sqrt2 - cos(x/2) intersect on the interval [0,360)?
(See image below for clear question and answer choices)

Answers

Answer:

  (a)  90°

Step-by-step explanation:

A graph can help you answer the question about where the graphs of the two functions intersect. It shows the one angle of intersection to be 90°.

__

You can also determine this analytically.

  f(x) = g(x)

  cos(x/2) = √2 -cos(x/2)

  2cos(x/2) = √2 . . . . . . . . . . add cos(x/2)

  cos(x/2) = √2/2 . . . . . . . . divide by 2

  x/2 = ±45° +360°×n . . . . . for an integer n

  x = ±90 +720°×n . . . . multiply by 2

  x = 90° is the only solution in the desired range.

A cat eats 2/3 of a tin of cat food every day. How many tins of cat food will she eat in 1 week?

Answers

Hi :)

First, how many days are in a week?

7 days are in a weekSo 7x 2/3

First, Convert any mixed numbers to fractions.

Then your initial equation becomes:

2/3×7/1

Applying the fractions formula for multiplication,

=2×7 x 3×1

=14/3

Simplifying 14/3, the answer is

4 and 2/3

Therefor, your answer is 4 2/3

4.66 tin of cat food

Find the greatest common factor of 34 and 36.

Answers

Answer:

2

Step-by-step explanation:

Factors of 34 include : 1,2,17 and 34

Factors of 36 are : 1,2,3,4,6,9,12,18,36

The only two common are 1 and 2

2 is greater tha one

So the gcf is 2.

Brainliest would be appreciated

Answer:

The greatest common factor is 2.

Step-by-step explanation:

You need to find the greatest common factor between 34 and 36.

Factors of 34: 1, 2, 17, and 34.

1*34=34

2*17=34

17*2=34

34*1=34

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Therefore, the greatest common factor of 34 and 36 is 2, which is our answer.

I hope this helps! Let me know if you have any questions.

what's the estimate of 6.48 + 9.34 and what's the estimate 15.71 + 12.2

Answers

Answer:

Your Estimated Equations and Answers: 6+9= 15 ; 16+12 = 28

Step-by-step explanation:

Estimating can be equivalent to rounding. This is because you're trying to find an approximate number or sum.

6.48 + 9.34 is your first question.

You should round it to the nearest whole number.

6.48 ~ 6 and 9.34 ~ 9

*Rounding rules applied here*

(~ this sign is the approximate or rounded to symbol)

Now, do 6+9 =

6+9= 15

______________________________________________

15.71 + 12.2 is your next question.


Same as last, round to the nearest whole number.

15.71 ~ 16 and 12.2 ~ 12

Now, do 16+12

16+12 = 28

Can someone help me please?

Answers

the answer is 12/15. 4/5 4x3= 12 and 5x3= 15

Question
The dimensions of a cereal box are shown below.
32 cm
9 cm
21 cm
What is the volume of the box?

Answers

Answer:

6048 cm2

Step-by-step explanation:

32*9*21

Finding volume is simple as pie for a cube.

Length*Height*width

It takes Kim 7 hours to proof a chapter of Hawkes Learning Systems' Introductory Algebra book and it takes Harding 2 hours. How long would it take them working together? (Round your answer to two decimal places.)

Answers

It would take them 4.5 hrs working together

Given the figure below, find the values of x and z.
120°
(9x + 30).

Answers

Answer:

z=60º, x=10º

Step-by-step explanation:

Question 1: 180º - 120º = 60º

Question 2:

(9x+30) = 120º

-30          -30

9x=90º

/9    /9

x=10º

Gavin needs to fill the fish tank below with water. The directions state that the water level
should be 2 inches below the top of the tank. Write an expression to show the volume of water
Gavin needs to fill the tank according to the directions.
(2x-6) inches
00
x inches
2x inches

Answers

Answer:

the volume is 300cubic inches

the expression is l x w x (h-2)

Megan wants to buy a designer handbag and plans to earn the money from babysitting. Suppose the interest rate is 8% and she is willing to wait one year to purchase the bag. How much babysitting money will she need to earn today to buy the bag for $400 one year from now? (Enter just the number in dollars without the $ sign or a comma and round off decimals to the closest integer, i.e., rounding $30.49 down to $30 and rounding $30.50 up to $31.)

Answers

Answer:

370

Step-by-step explanation:

FV = PV ( 1 + i)      i = interst in decimal

400 = PV ( 1.08)

PV = 400 / 1.08 =

find the sum of the fractions below. 5/8 + 1/n = 7/8 A. 3 B. 3 5/12 C. 3 4/9 D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

1) Subtract 5/8 from both sides.

1/n = 7/8 - 5/8

2) Simplify 7/8 - 5/8 to 1/4.

1/n = 1/4

3) Multiply both sides by n.

1 = 1/4n
4) Simplify 1/4n to n/4.

1 = n/4

5) Multiply both sides by 4.

1 * 4 = n

6) Simplify 1 * 4 to 4.

4 = n

7) Switch sides.

n = 4

Check Answer:

5/8 + 1/n = 7/8

1) Let n = 4.

5/8 + 1/4 = 7/8

2) Simplify 5/8 + 1/4 to 7/8.

7/8 = 7/8

Question 8
The Woodlands Middle School poll results show that about 79.3% of
people who prefer pizza are students and about 81% of the people
who prefer burgers are students.
Which of the following statements is true?
Pizza
There is not enough evidence to
support a relationship between lunch
preference and role at the school.
Students
Teachers
79.3%
20.7%
100%
Burgers
81.0%
19.0%
100%
Total
There is evidence to support a
relationship between lunch preference
and role at the school.

Answers

Answer: There is not enough evidence to support a relationship between lunch preference and role at the school.

A b c d or e what one will give brainlest

Answers

D! i’m not fully sure but it looks more reasonable

PLEASE HELP ME ON THIS

Answers

Answer:

About 154 Square

Explanation:

To find an area of a circle you multiply pi by the radius squared so 7² = 49 and 49 x 3.14 = 153.86 which is the closest to 154.

1. How many degrees are in this angle, which is one-fourth of the circle?

Answers

Answer: 90 degrees

Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide

360/4 = 90 (: hope this helps

Answer:

90* x 4 = 360*

360* / 4 = 90*

Step-by-step explanation:

A circle has 360* all around.

In the angle that was drawn, it is 90*

The degrees for the space outside of 90* is x

x = ?                360* - 90* = 280*                 x = 280*

hope this helped

The table shows the results of a survey on the preferred flavor of ice cream. Based on this survey, what is the probability that an adult prefers chocolate ice cream?

A) 55/52
B) 55/54
C) 55/107
D) 55/119

Answers

Answer:

d

Step-by-step explanation:

cause this means that it is rise over run

6=sqrt x^2+3-x
steps included please

Answers

Answer:

-3/2

Step-by-step explanation:

6=|x|+3-x

move the terms

-|x|+x=3-6

-|x|+x=-3

-x+x=-3 , x > 0 (put a line under >)

-(-x)+x=-3 , x < 0

-3/2 , x < 0 find the intersection

x= -3/2

if you dont want it as a fraction you can do -1.5 in decimal form

find the binomial factor s^2+10s+25

Answers

[tex]s^2+10s+25\\\\=s^2+2\cdot 5 \cdot s +5^2\\\\=(s+5)^2\\\\=(s+5)(s+5)[/tex]

Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1

Answers

Answer:

x = -5 plus/minus sqrt( 26 )

Step-by-step explanation:

Let's remember the binomial square formula

A^2 + 2AB + B^2 = (A + B)^2

We have:

x^2 + 2*5x -1

Hence, if we replace

A = x

B = 5

we get a perfect square: x^2 + 2*5x + 25 = (x + 5)^2.      [++]

Based on this reasoning, let's set f(x) = 0

x^2 +10x -1 = 0

Let's add 26 on both terms:

x^2 +10x +25 = 26

Based on [++]:   (x + 5)^2 = 26

Square root on both sides

(x + 5) = plus/minus sqrt (26)

x = -5 plus/minus sqrt (26)

Given the 4 points below,
identify what shape is
formed and how you
found your answer.
A(-1,0), B(0, 2), C(4,0), and
D(3,-2)

Answers

basically it's a quadrilateral

hope it really helps..!!

1
Maurice drove 48 miles north and then 36 miles west. Find the
shortest distance from the point where he ended up to his starting
point.

Answers

Answer: 60 miles

Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.

Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60

60 miles that’s the answer to the problem
Other Questions
Why do we have more identifiable stepsin our life cycles today? I NEED THIS QUICKLY PLEASE IT WAS DUE YESTERDAY!!!! 100 POINTS!!!!!!!Assignment InstructionsFor this assignment, you are expected to submit two things:1. A completed graphic organizer 2. A completed follow-up questionnaireStep 1: Prepare for the assignment.a) Read through the guide before you begin so you know the expectations for this assignment. b) If anything is not clear to you, ask your teacher for assistance. Step 2: Select three global media outlets.a) Choose media outlets that provide daily coverage. Monthly periodicals and journals are not a good choice for this assignment, but many weekly news magazines also have websites that provide more frequent reporting. Some examples of reliable global news outlets include the New York Times, the Wall Street Journal, the BBC, the Associated Press, and Reuters. Discuss your sources with your teacher if you have questions.b) If you do not have daily access to the internet, discuss alternatives with your teacher. Step 3: Begin monitoring coverage of one or two news events.a) Use your graphic organizer to keep track of a news story as it unfolds across a period of time. Choose a story that is likely to have continuous coverage. For example, a breaking news item will probably have follow-up stories over the next week, while an in-depth profile of a writer or artist will probably not be updated. b) Consider how the story evolves depending on the handling of new events, information, and perspectives in news articles. Consider how media outlets report the effects of the news story, and note how the sources present opinions on the story in the form of editorials and op-ed pieces. c) In addition to the notes you take in your graphic organizer, keep track of the titles, authors, and URLs of articles you read as the story develops.Step 4: After a week, review your graphic organizer to analyze the evolution of the news storya) Consider what trends and patterns you noticed, and what factors most influenced the coverage of the story. b) Using complete sentences, answer the questions on your follow-up questionnaire.Step 5: Evaluate your assignment using this checklist.If you can check each box below, you are ready to submit your assignment.Yes No Evaluation Question Is your name on your graphic organizer and questionnaire? Did your organizer trace the development of one or more news stories across a period of time? Did you monitor the coverage from at least three different sources? Are your sources likely to be considered fair and reliable by a majority of people? Are your sources likely to provide corrections and updates in the event of misreporting? Are your sources unbiased? Did you keep track of how the news story developed over time? Did you note new and relevant information as it was reported? Did you use complete sentences in your follow-up questionnaire?Step 6: Revise and submit your presentation.a) If you were unable to check off all of the requirements on the checklist, go back and make sure that your assignment is complete. Save your assignment before submitting it.b) Turn in your graphic organizer and questionnaire to your teacher. Be sure that your name is on them.c) Submit your graphic organizer and questionnaire through the Virtual Classroom.d) Congratulations! You have completed your assignment. 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