Determine if the statement is true or false. Any linear system with more variables than equations cannot have a unique solution.

Answers

Answer 1

Answer:

True

Step-by-step explanation:

Suppose a system contains a large number of variables than equations, then there is a need to make assumptions of some values for the extra variables in order to solve the system. So, the assigning of these values can be done in several ways. Thus, the system cannot contain a unique solution.

Also, for a system of the linear equation:

[tex]AX = B[/tex]  can have a unique solution if:

Augmented matrix(rank) = coefficient matrix(rank) = no. of variables.

Provided that there exist fewer equations and more variables,

Then;

coefficient matrix(rank) <  no. of variables

Thus, the system cannot contain a unique solution.


Related Questions

A store sells an item for $35 after a 25% markup. What is the price the store paid?

Answers

Answer:

43.75

Step-by-step explanation:

25 divided by 100=.25

.25*35=8.75

8.75+35=43.75

The store paid a price of $28 for the item.

What is Mark up Percentage?

Mark up percentage is the percentage of profit on a certain service or commodity.

We know the formula to calculate mark up percentage.

Mark up Percentage = [(Selling price - Cost) / cost] × 100

Here, given that,

Mark up percentage = 25%

Selling price = $35

We have to find the cost.

Let x be the price that the store paid for the item.

Substitute the given values in the formula for mark up percentage.

25 = [(35 - x) / x] × 100

Dividing both sides of the equation by 100,

25/100 = (35 - x) / x

0.25 = (35 - x) / x

Multiplying both sides with x,

0.25x = 35 - x

Adding both sides with x,

0.25x + x = 35

1.25x = 35

Dividing both sides by 1.25,

x = 35 / 1.25

x = 28

Hence the price of the item that the store paid is $28.

To learn more about Mark up Percentage, click :

https://brainly.com/question/14318030

#SPJ2

someone please help me out

Answers

Answer:

x is 68 :)))

hope that helpsss

1 point
A rectangular ballroom is being carpeted. The room measures 12 feet by 11 feet. If the carpet costs $3.60 per square foot, then what is the cost of
the carpet?

Answers

25. Because you are ugly hahahah

Answer:

first lets find the area of the floor.

A=l*w     where l=length and w=width

Plug in the data

A=14*12

A=168ft²

If 1 square foot of carpet is 2.90$, then 168 square feet are...

 1 sqft         168sqft

_______ = ________

 2.90$             x$

Cross multiply

1x=487.20

divide both sides by 1

x=487.20 dollars

Answer= $487.20

Step-by-step explanation:

1. (MC)
Rewrite the rational exponent as a radical
extending the properties of integer exponents. (2 points)



Answers

it’s very blurry can you please zoom out

Based on the graph below, what is the y-intercept?

Answers

Answer:

the y intercept you are looking for is -3

A tree was 60 inches tall. Three years later it was 105 inches tall

Answers

Answer:

Im sorry but I think you have forgotten to pit your question innit

Answer:

Step-by-step explanation:

something is wrong with the question...

thanks for the points. ^_^

Find the cost price when,
(a) Selling price = Rs 725 and 15% gain​

Answers

Step-by-step explanation:

Selling Price (SP) = Rs. 725

profit rate (P%) = 15 %

Now

Cost Price (CP)

[tex] = \frac{sp \: \times 100}{100 + p\%} \\ = \frac{725 \times 100}{100 + 15} \\ = \frac{72500}{115} \\ = rs \: 630.42[/tex]

Evaluate the sum of 9.1 and 368.8.​

Answers

Answer:

377.9

Step-by-step explanation:

368.8 + 9.1 = 377.9

There is 1⁄3 gallon of water in a 3-gallon container. What fraction of the container is filled? (There’s also a picture :). )

Answers

Answer:

There is 1/3 gallon of water in a 3 gallon container. What fraction of the container is full? ONE-THIRD OF A GALLON DIVIDED BY 3 GALLONS EQUALS ONE-NINTH.

There is a tank with a capacity of 3 gallons, then the fraction of the container filled is 1/3.

What is a fraction?

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the given data provided in the question,

The total capacity of the container = is 3 gallons

The portion which is empty = 3-1/3 = 8/3

It means that 8/3 portion of the tank is empty and 1/3 portion of the tank is filled.

To know more about Fraction:

https://brainly.com/question/10354322

#SPJ2

c. What number is 40% of 1607?

Answers

Answer:

642.8

Step-by-step explanation:

1607 divided by 10 = 160.7 x 4 = 642.8

6x+4y=-6
2x+5y=9
Please help

Answers

Answer:

Step-by-step explanation:

Simplifying

6x + 4y = 6

Solving

6x + 4y = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.

6x + 4y + -4y = 6 + -4y

Combine like terms: 4y + -4y = 0

6x + 0 = 6 + -4y

6x = 6 + -4y

Divide each side by '6'.

x = 1 + -0.6666666667y

Simplifying

x = 1 + -0.6666666667ySimplifying

6x + 4y = 6

Solving

6x + 4y = 6

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.

6x + 4y + -4y = 6 + -4y

Combine like terms: 4y + -4y = 0

6x + 0 = 6 + -4y

6x = 6 + -4y

Divide each side by '6'.

x = 1 + -0.6666666667

Simplifying

x = 1 + -0.6666666667

Simplifying

2x + 5y = 9

Solving

2x + 5y = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y' to each side of the equation.

2x + 5y + -5y = 9 + -5y

Combine like terms: 5y + -5y = 0

2x + 0 = 9 + -5y

2x = 9 + -5y

Divide each side by '2'.

x = 4.5 + -2.5y

Simplifying

x = 4.5 + -2.5y

Answer:

(x,y)=(-3,3)

Step-by-step explanation:

hope you understand

........

What is the value of x?

Answers

it’s d hope this helps

What is the slope intercept form of the linear equation x + y = 12

Answers

Do Yr selffffffffffffffff i can't do this

Apply the distributive property to create an equivalent expression. ( 1 − 2 g + 4 h ) ⋅ 5 =

Answers

Answer:

{(1-2g) + 4h] x 5 =

Step-by-step explanation:

What is the following product? root(3, 4) * sqrt(3)

Answers

Answer:

It’s option C

Step-by-step explanation: just took the quiz on edge

Answer:

C

Step-by-step explanation:

Anna is baking cookies.The recipe ask for 3/4 cup of flour per batch.Anna wants to bake 4 batches of cookies.She made the model below to help her find the amont of flour in cups for 4 batches of cookies

Answers

3/4x4=3 therefore she needs 3 cups of flour to make four batches of cookies : )

Find the value of x

Answers

Não sei te responder amigo!

Answer:

8

Step-by-step explanation:

E is the midpoint of segment BC, so the segment BE would have to be 8.

Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.

Please see the picture

Help me

Test

Answers

Answer:

100.3 square units

Step-by-step explanation:

Area of the composite figure = area of parallelogram + area of circle

Note: 2 semicircles = 1 full circle

Area of the figure = a*h + πr²

Where,

a = 10

h = 5

r = ½ of 8 = 4

Plug in the value into the equation

Area = 10*5 + π*4²

Area = 50 + π*16

Area = 100.265482 ≈ 100.3 square units (nearest tenth)

What is an important requirement for an emergency fund?

Answers

French fries and cheese burgers

Answer:

While some call having one to two months' wages in reserve ideal, most financial experts say that the recommended emergency fund amount should cover three to six months' worth of household expenses. That's a great idea, and a key part of any sound financial plan, but it also requires some effort to achieve.

1. p(x) = 5x3 - 10x2 ...
help would be greatly appreciated also you the goat

Answers

P(x)=0 ,x=2
5•0^3-10•0
5•0-10•0
0-0

Erica knits 19 squares on Monday. Starting on Tuesday, she knits 4 squares each day.
How many squares does Erica knit by the end of the day on Friday?
Erica knits
squares by the end of the day on Friday.

Answers

Answer:

35

Step-by-step explanation:

16+ (4x4[4 days a week])

4x4=16

16+19

10+10=20

6+9=15

20+15=35

so therefore you're answer is 35

An employee was hired at a wage of $12 per hour. After a raise, she now earns $13.17 per hour.

Answers

Answer:

ok keep going more questions cause ido t get it what u trying to ask

What’s the question? Is it supposed to be how much she gained in her raise? If so, she gained $1.17 in her raise.

What is the quotient of 27,036 and 9?

Answers

Answer:

the answer is 3,004 that is 27,036 ÷ 9

SOMEONE PLEASE HELP. WILL MARK BRAINIEST!!!

Answers

First cross multiply:

2(2x+1) = 3(x+2)

Then distribute so we can remove the parentheses:

4x + 2 = 3x + 6

Then move constants on side, variables on the other

4x - 3x = 6 - 2

The answer is

x = 4

(9x2/3)x2/3 please help​

Answers

Answer: the answer would be 4

Answer:

4

Step-by-step explanation:

=(9×2/3)×2/3

=(3×2)×2/3

=6×2/3

=2×2

=4

Please help with this pleaseee

Answers

Answer:

CED=126

Step-by-step explanation:

The total of all 3 angles should be 180

so:

180-38-16 (ABC is equal to ECD)

180-38-16=126

126=CED

Answer:

∠E= 126°

Step-by-step explanation:

the parallel lines create a transversal (the diagonal line that connects them)

this transversal rule shows us that

∠DCE=∠CBA

so ∠DCE= 38°

let's look at the triangle

∠C+∠D+∠E=180°

38+16+∠E= 180°

∠E= 126°

Help will do brainliest asked this before plz!!!!! ASAP!!!! A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lb of trail mix that is 40% raisins. How many pounds of each mix does the manager use?

Answers

Answer:

480 and 320

I hope this helps you! I also had this question

SOMEONE Help me please

Answers

Answer:

The answer should be B. The mistake the studen made was subtracting 3/4 from 1, instead of multplying 3/4 and the 12 inside the brackets

Step-by-step explanation:

Which of the following equations have infinitely many solutions?

Choose all answers that apply:

А
-10x – 10 = –10x + 10

B
10x – 10 = -10x + 10

C
- 10x - 10 = -10r - 10

D
10x – 10 = -10x – 10

Answers

Answer:

B.

10× - 10 = - 10× + 10

but I'm not sure

I think is B but not sure

plzzzzz help ASAP nowwwwwwww

Answers

25 because 9x5=45 so 5x5=25
Other Questions
help me pls need help What is babylonian ???? pls help What is the value of (-1/2)^-4?O-161/161/16O 16 NEED HELP ASAP PLEASE ITS DUE TODAY!! The Bourbon Triumvirate were all three members of the _______ party? PLEASE help me! Im giving all my points, please help ASAP!!! The powers of the U.S. President were significantly limited by the decision in United States v. Nixon, in that it rejected which of President Richard Nixons claims listed below? Which person is NOT a member of the design team?set designerstage managerlighting directorcostume designer What is - 4/7 as a number? Tania wants to go to Europe. She decided she can only spend 200 U.S. dollars. The exchange rate is 1 euro to 1.30 U.S. dollars. After exchanging her money, how many euros will she have to spend, rounded to the nearest cent? In the period before the American Revolution, the colonists most effectively resisted British taxes in which way? OBJECTIVE: To write an argument paragraph that includes a claim, evidence, and reasoning to answer thequestion: Should people use paper or plastic bags?TASK:1. Read the docs and gather evidence to support both sides of the argument. (I would highlight.)2. Use the graphic organizer to organize your evidence and reasoning. (I am not collecting this.)3. Determine your claim (your side of the argument).4. Write an essay that presents your claim, using evidence and reasoning to support it. Be sure to citeevidence and to use the rubric to check for the requirements. Aim for Meets Standard or higher. PLS HELP SO I DONT FAIL MY CLASS!!!!!!!!(3^8 x 2^-5 x 9^0)^-2 x (2^-2/3^3) x 3^28write your answer in simplified form show all of your steps. (14x + 6)lo52 CXA hi -12 is less than -12.5 right? please answer quick Multiply.(-0.3)(-0.85) What early human development was necessary for survival in cold environments? Finding shelter in caves banding together in clan groups owning only a few belongings creating language to communicate Two points, a and b, are graphed on the number line below. Maynard says there is notenough information to write an inequality statement comparing a and b. Which statementexplains whether or not Maynard is correct? Find the coordinates of the midpoint ofL(2, -4), M(4, 6) Prepare 250 cm3 2M NAOH: molar mass M = 40g/mol. calculate substance mass