Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.

Answers

Answer 1

Answer:

Let A be a 3 X 4 matrix. If

b = a1 + a2 + a3 + a4

then what can you conclude about the number of solutions of the linear system Ax=b?

Explain.

The system has infinitely many solutions

Step-by-step explanation:

Since b= a1 + a2 + a3+ a4 if it follows that x= (1,1,1,1)^T is a solution to the equation Ax = b.

Since the matrix contains 3 rows there can be 3 nonzero rows and consequently

3 lead variables at most after we compute the row echelon form of the matrix

At least of the variables is free variables is free variable.

The system has infinitely many solutions


Related Questions

please answer asap!!!!!

Answers

Answer:

Angle E, Angle G, Angle F

Step-by-step explanation:

There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F

Answer:

m<E < m<G < m<F

Step-by-step explanation:

it is a 30,60,90 Triangle E = 30, G = 60 and F = 90

Chose the ratio that forms a proportion with the ratio 3/8?​

Answers

Answer:

well i donk know

so but just trying to get points

No idea how to do this o

Answers

Answer:

f(4) = 6

Step-by-step explanation:

When you have a function f(x) the number inside the parenthesis is the x value. In this case its 4. So the function value for f(4) is 6 because that is where the line is at x = 4

Mr. Clark sold 280 bags of chips and 415 bottles of juice in 5 days. At this rate, Mr. Clark will sell bottles of juice in 12 days.

Answers

Answer:

is answer is 8,340

Step-by-step explanation:

add 280 and 415 and get 695

then multiply by 5 and get 3,475

then multiply 695 by 12 and get 8,340

You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches

Answers

D is the right answer I think

Ms. Davis is doing an activity with her statistics students where she gives them a 202020-question multiple choice test, and they know none of the answers. Students need to guess on every question, and each question has 555 possible choices, 111 of which is correct.
What are the mean and standard deviation of the number of questions that each student gets correct?
You may round your answers to the nearest tenth.

Answers

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (

Answer: mean: 4

standard deviation: 1.79

Step-by-step explanation:

Help pls ill give Brainlyest to the one who does it step by step.

Answers

Answer:

12.8% decrease

Step-by-step explanation:

if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.

10.12 ÷ 4.4 =
A
0.23

B
2.3

C
5.72

D
57.2

Answers

Answer:

The answer is 2.3 B It is just by dividing

Answer:

B. 2.3

Step-by-step explanation:

Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.

We then have the equations:

101.2 ÷ 44 = 2.3

and therefore:

10.12 ÷ 4.4 = 2.3

8th Grade
please answer, its due today and show the work please :)
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)

Answers

Answer:

n = 19.6

Step-by-step explanation:

Given the expression;

1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)

Open the bracket

1.6 + 0.8n - 3.2 = 1.1n - 7.48

Collect the like terms

0.8n - 1.1n = -7.48 + 3.2 - 1.6

-0.3n = -5.88

n = -5.88/-0.3

n = 19.6

Hence the value of n is 19.6

Help me out please !!!!!!

Answers

Given:

A line segment AB on a coordinate plane.

The rule of translation is

[tex]f(x,y)\to (x-6,y-3)[/tex]

To find:

The coordinates of A' and B'.

Solution:

From the given graph, it is clear that the coordinates of A and B are A(1,3) and B(5,1).

The rule of translation is

[tex]f(x,y)\to (x-6,y-3)[/tex]

Using this rule, we get

[tex]A(1,3)\to A'(1-6,3-3)[/tex]

[tex]A(1,3)\to A'(-5,0)[/tex]

And,

[tex]B(5,1)\to B'(5-6,1-3)[/tex]

[tex]B(5,1)\to B'(-1,-2)[/tex]

Therefore, the coordinates of A' and B' are A'(-5,0) and B'(-1,-2).

Please help me with my homework!

Linda used a number line to simplify an expression. Which expression did Linda simplify based on the number line?

A. -9+1
B. -1-9
C. -1+(-8)
D. -1-(-8)

Answers

I am pretty sure the answer is c

A person invested $30,000 in stocks and bonds. Her investment in bonds is $3000 more than half her investment in stocks
How much did she invest in stocks? How much did she invest in bonds?

Answers

Answer:

He invested in stocks Say,  = x $

 He invested in bonds = (x/2)+6000

 So,

 x+ x/2 +6000=30000

 2x+x+12000=60000

 3x= 48000

x=16000

 Investment in stocks= 16000  $

Step-by-step explanation:

!!

Answer:

      $ 3 0 , 0 0 0  in Stocks

       $ 2 7 , 0 00  in Bonds

Step-by-step explanation:

        $ 3 0 , 0 0 0

      - $ 3 , 0 0 0

  _  _ _ _ _ _ _ _ _ _

         $ 2 7 , 0 0 0

Find the sum of the following series. Round to the nearest hundredth if necessary. 4 + 24 + 144 +... + 6718464​

Answers

Answer:

Your answer is 264

Step-by-step explanation:

It takes 3 gallons of gas to drive 102 miles. How many miles can be driven on 16 gallons of gas?

Answers

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16

Answer:

544

Step-by-step explanation:

102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.

Problem: 2 - $(7 – 2y) = -3
Step 1: -3(7 2y) = -3
Step 2: -21 + 6y=-3
Step 3: by = 18
Step 4: y = 3
Determine which number step the mistake is Made and describe the error

Answers

Step 3. Instead of subtracting -21 and -3, they should’ve added because they are like terms. A negative plus a negative is still a negative.

There are 564 men and women working in a facten
There are twice as many women as men.
How many men are working in the factory

Answers

1.128 men good luck on it^^^^^^^^^ hope it helps

32) Write a compound inequality that represents the given graph:



A. 6≤x 10
D. 6

Answers

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10

help please and u get a cookie

Answers

Answer:

im allergic to cookies

Step-by-step explanation:

y
is inversely proportional to
x
.
When
y
=
30
,
x
=
4

Work out
x
when
y
=
20

Answers

Step-by-step explanation:

I think it might be enough to help you.

xavier made 22 more baskets than Jared this basketball season. Write an expression for the number of basket xavier made this season.​

Answers

Answer:

J+22=X

Step-by-step explanation:

J represents Jared and since Xavier made 22 more baskets than Jared you add 22 onto Jared's amount of baskets to figure out how many Xavier made.

1.Interest rate=7%p.a.Find the interest of Rs 200 for years.
2.Interest rate=11%p.a.Find the interest of Rs 2000 for years.

Answers

Step-by-step explanation:

Question does not specify how many year and is in plural form considering the level of question I will consider it is some typo error and is just 1 year

Step 1

Finding Intrest for Rs200

We have

Principal(P) = Rs 200

Rate (R) = 7%pa

Time (T) = 1year

Intrest(I) =?

We have ,

I =PTR/100

=200*7/100

=Rs 14

Step 2

Finding intrest for Rs2000

Given

Principal(P)=Rs2000

Rate(R) =11%

Time(T) =1 year

Intrest(I) =?

We know,

I =PTR/100

=2000*11/100

= 20*11

=Rs 220

A rectangle has a perimeter of 50 centimeters. If the width of the rectangle is 10 centimeters, what is its length?​

Answers

Answer:

15 cm

Step-by-step explanation:

The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.

If we plug in 10 for W, we get this:

2L + 2(10) = 50 <-- the perimeter

2L + 20 = 50

2L = 30

L = 15

There are approximately 3.3 million births in a country each year. Find the birth rate in units of births per minute.

Answers

Answer:

8,760

Step-by-step explanation:

365 X 24

solve for y.
-13=4y+3​

Answers

Answer:

-13=4y+3 -3

-16=4y ÷4

-4=y

Step-by-step explanation:

hope it helps ^^

Answer:

y = -4

explenation in picture

If x=-3 what does 6+5x

Answers

Answer:

-9

Step-by-step explanation:

Plug in -3 for the x value to get 6 + 5 (-3).  Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.

3. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon. F(1,2). G(3,0), H(1,-2).

Answers

Answer:

Expand on the name.......

Please quickly answers thus

Answers

Answer:

i believe it's c. im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

what is the reciprocal of -1/5

Answers

Answer:

5/-1

Step-by-step explanation:

The reciprocal is just flipping the fraction.

Alex drew the triangles shown. Which of the following correctly describes the triangles?

Answers

Answer: wheres the attachment..

Step-by-step explanation:

Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.

Question 9 options:

f(x) = −(x − 1)2 − 2


f(x) = −(x + 1)2 − 2


f(x) = (x + 1)2 – 2


f(x) = (x − 1)2 − 2

Answers

Answer:

The second answer is the correct one, f(x) = -(x + 1)² - 2

Step-by-step explanation:

We know that the answer must either be the second or third, because those two have (x + 1) squared, which means that the vertex must have an x co-ordinate of -1.

We also know that the third one can't be correct, as the y-coordinate of -6 requires a negative coefficient of the x^2.  Without that the parabola would be moving upward from its vertex of (-1, -2).

With those we can eliminate all answers but the second one

Answer:

Step-by-step explanation:

Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.

Question 9 options:

f(x) = −(x + 1)2 − 2

Other Questions
which statement would a proponent self-determination and black nationalism most likely agree with? A. The races are incompatible and should be separated B. The church should be the center of civil rights activism C. Encouraging African Americans to vote is the best way to achieve freedom D. Black and white protester should join together in brotherhood Elliot is promoting a concert and needs to print posters to put up around the city. He gets information from two companies on printing costs. APlus Printing charges a setup fee of $20 and 10 cents for each poster printed. PrintMore, a competing company, charges $55.00 for setup and five cents per poster. How can Elliot determine which plan will be cheaper? Is $1970.00 rental income debit or credit Please answer these two questions as best as you can! I will choose the best answer to get brainliest and please don't use this question for points! IF YOU HAD TO ESCORT A VISITOR FROM OUTER SPACE FOR A 30 MINUTE TOUR OF YOUR COMMUNITY, WHERE WOULD YOU BEGIN, WHAT LANDMARKS WOULD YOU SHOW THE ALIEN AND WHERE WOULD YOUR TOUR END? pls i need helpWhy are K-W-L charts useful?They provide visual clues.They give you a list of textual features to look for.They help you contextualize new knowledge.They define organizational structures for learning. On a day in the month of February, the temperature in Barrow, Alaska, is -21. At the same time, the temperature in Northway, Alaska is -13.Write an inequality to compare -21 and -13. Which temperature is warmer I need help please if you can In both criminal and civil cases, the party accused of wrongdoing is called what?A. the plaintiffB. the prosecutionC. the defendantD. the appellant thank youif this helps Ultimately, Malthus's calculations were proven wrong. But today's world sees an increasing population with limited resources. How would you suggest we tackle these issues today? what is the square root of 1225,1764,11025 Which dilations result in an image that is smaller than the pre image select all that apply Meiosis goes through 2 divisions to create four unique haploid cells. true or false 9) Given the reaction: N2(g) + O2(g) + 182.6 kJ 2 NO(g) What is the heat of formation of nitrogen (II) oxide in kJ/mole? A) AH = -182.6 B) AH = -91.3 C) AH = 91.3 Show D) AH = 182.6PLEASE HELP please Which of the following reasons would force the United States to become more involved in the issues of other countriesduring World War II?A. Germany offered a military alliance to Mexico in the Zimmermann TelegramB. the guerrilla fighters in BelgiumC. the rising aggression of HitlerD. the bombing of Asian ships on trade routes to the United States Why do we charge a capacitor under a DC voltage source only? Which equation is NOT a linear function?y = 17y=-4x 12y = x2-2y = 5xI ready I WILL GIVE BRAINLIEST TO CORRECT ANSWER-x Janna is buying a cell phone for her business. The regular price of the cell phone is $179. There is a 30% sale on the phone right now. What will be the final price of the phone?