Need help with linear systems

Need Help With Linear Systems

Answers

Answer 1

We can use elementary row operations on the augmented matrix to solve this linear system to solve 1st problem.

How to solve this problem by elementary row operations?

The augmented matrix of the system is:

2  4  -4

5  7  11

The goal is to use row operations to transform the matrix into reduced row-echelon form, where all the entries below the leading (non-zero) entries in each column are zeros, and the leading entry in each non-zero row is

1. First, we'll divide the first row by 2, to get a leading 1 in the first row:

1  2  -2

5  7  11

2. Next, we'll subtract 5 times the first row from the second row, to eliminate the x1 term in the second row:

1  2  -2

0  3  5

3. Finally, we'll divide the second row by 3, to get a leading 1 in the second row:

1  2  -2

0  1  1.66667

The reduced row-echelon form of the augmented matrix represents the solutions of the linear system. The solution is x1 = 1 and x2 = 1.66667.

As a result, the linear system solution is:

x1 = 1

x2 = 1.66667

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Related Questions

PLEASE HELPP
Remember that a correctly labeled graph requires that you label all axes, curves, and equilibrium point values. The word "calculate" means you must show your work.

Assume the market for Good Z is in equilibrium. The demand for Good Z is unit elastic, and the supply is relatively elastic.

(a) Draw a correctly labeled demand and supply graph for Good Z. Label the equilibrium price Pe and the equilibrium quantity Qe.

(b) Assume the government imposes a per-unit tax on Good Z. On your graph from part (a), show each of the following after the tax has been implemented.

(i) The equilibrium buyer's price labeled Pt

(ii) The equilibrium quantity labeled Qt

(iii) The area representing the new producer surplus, shaded completely

(iv) The area representing deadweight loss, labeled DWL

(c) Assume that the seller's price after the tax is 2000 dollars, that the quantity supplied at this price is 50 units of Good Z, and that the minimum price on the supply curve (where it meets the y-axis) is 1000 dollars. Calculate the area of producer surplus.

(d) Will the price paid by consumers increase by the same amount as the tax? Explain.

(e) Will the loss in consumer and producer surplus be greater than, less than, or equal to the tax revenue collected by the government? Explain.

Answers

Answer:

I can guide you through the process of solving the questions.

(a) To draw the demand and supply graph for Good Z, you would need to plot the demand curve and the supply curve on a coordinate graph with price on the y-axis and quantity on the x-axis. The demand curve would typically slope downward, representing the inverse relationship between price and quantity demanded. The supply curve would typically slope upward, representing the positive relationship between price and quantity supplied. The intersection of the demand and supply curves represents the market equilibrium, where the quantity demanded is equal to the quantity supplied. Label this point Pe for price and Qe for quantity.

(b) If the government imposes a per-unit tax, the supply curve will shift upwards by the amount of the tax, and the new equilibrium will be at a higher price and a lower quantity than before the tax was imposed. On your graph, label the new equilibrium buyer's price as Pt and the new equilibrium quantity as Qt. The shaded area representing the new producer surplus will be the difference between the new supply curve and the old supply curve above the new equilibrium quantity. The area representing deadweight loss (DWL) is the triangular area that represents the reduction in total surplus (consumer plus producer surplus) due to the tax.

(c) To calculate the area of producer surplus, you need to determine the difference between the price received by the producer (2000 dollars) and the minimum price on the supply curve (1000 dollars). The area of the producer surplus would then be a rectangle with a height of 1000 dollars and a width of 50 units of Good Z.

(d) The price paid by consumers will not increase by the same amount as the tax because the demand for Good Z is unit elastic, meaning that the quantity demanded will change by the same proportion as the price. As a result, the increase in the price of Good Z due to the tax will be partially absorbed by the consumers in the form of a reduced quantity demanded, and the increase in the price paid by consumers will be less than the tax.

(e) The loss in consumer and producer surplus will be equal to the tax revenue collected by the government. The tax revenue is equal to the amount of the tax times the quantity sold, which is equal to the reduction in consumer surplus plus the reduction in producer surplus. The reduction in consumer surplus is equal to the difference between the consumer's willingness to pay for the good and the price paid, and the reduction in producer surplus is equal to the difference between the price received and the cost of production.

To draw the demand and supply graph for Good Z, you would need to plot the demand curve and the supply curve on a coordinate graph with price on the y-axis and quantity on the x-axis.

What is demand curve in graph?

The demand curve would typically slope downward, representing the inverse relationship between price and quantity demanded. The supply curve would typically slope upward, representing the positive relationship between price and quantity supplied.

The intersection of the demand and supply curves represents the market equilibrium, where the quantity demanded is equal to the quantity supplied.

If the government imposes a per-unit tax, the supply curve will shift upwards by the amount of the tax, and the new equilibrium will be at a higher price and a lower quantity than before the tax was imposed.

Therefore, you would need to plot the demand curve and the supply curve on a coordinate graph with price on the y-axis and quantity on the x-axis.

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QUESTION WILL BE IN SCREENSHOT!! PLEASE HELP FAST IT IS URGENT!! I WILL ALSO NEED AN EXPLANATION!!

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The context clues show that in the seventh paragraph (lines 28-32), the consideration of US resistance to taxing unhealthy foods motivates the authors to shift from B. describing the impediments to healthy eating habits to suggesting a possible way to overcome those obstacles.

What are context clues?

Context clues help to find the meaning of a word taking into account the words that surround the unknown word that make us infer the meaning.

Also called visual indices, these words are described or defined by other words that appear in the same sentence. In this case, the impediments to healthy eating habits to suggesting a possible way to overcome those obstacles was described.

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PLEASE HELP!!! I NEED ANSWER WITH EXPLINATION!!!!

18.If added after sentence 13, which of the following claims would best expand on the concession that palm oil production does not have only negative implications?
A.Palm oil also has health benefits; it helps millions of people around the world avoid trans fats.
B.However, the negative effects of palm oil production continue to outweigh the benefits
C.In spite of this, we can no longer overlook the serious consequences of increased palm oil production

Answers


The best option to expand on the concession that palm oil production does not have only negative implications is Option A, which states: "Palm oil also has health benefits; it helps millions of people around the world avoid trans fats." This statement provides evidence of the positive implications of palm oil production, which can help to balance out the negative consequences. This statement also provides a specific example of how palm oil production can be beneficial, which can help to further explain the concession.

Jamal has recently completed a series of family portraits that he wants to print, frame, and give out as holiday gifts to his family members. However, he has noticed several problems in the photographs that he would like to correct in addition to cropping and enhancing the images. In what step in his workflow process will Jamal make these corrections and changes?

Answers

Answer: The step in Jamal's workflow process where he would make the corrections and changes to the family portraits is Step 6, post-processing.

Explanation: The step in Jamal's workflow process where he would make the corrections and changes to the family portraits is Step 6, post-processing. Post-processing refers to the editing and enhancement of digital images after they have been captured, and typically involves using software tools such as Adobe Photoshop or Lightroom to adjust colors, exposure, sharpness, and other parameters to improve the overall quality of the images.

PLEASE HELP FAST IT IS URGENT!! I WILL ALSO NEED AN EXPLANATION!!
5. In the third paragraph (lines 11–14), the authors’ shift in tone primarily serves to contrast
A. their frustration with current US eating habits with their hope for healthy changes
B. their outraged incredulity at US food choices with their insistence on needed change

Answers

In the third paragraph (lines 11–14), the authors’ shift in tone primarily serves to contrast A. their frustration with current US eating habits with their hope for healthy changes.

What is a tonal shift?

A rhetorical shift is a literary strategy that alters the tone or mood of a piece of literature to define characters or make a book or poem more intriguing, engaging, and powerful.

This might be an unintentional, almost accidental shift over time, or it can be a deliberate shift in tone that was planned all along or done so because of a perceived benefit to the new tone.

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Sami cut 6 and three-fourths inches off a long roll of paper. If the roll is now 36 and one-third inches long, how long was the original roll of paper? Write an equation and solve it to find the answer. 29 and StartFraction 7 Over 12 EndFraction inches 30 and StartFraction 7 Over 12 EndFraction inches 42 and StartFraction 1 Over 12 EndFraction inches 43 and StartFraction 1 Over 12 EndFraction inches

Answers

43 and start fraction 1 over 12 end fraction inches long was original paper roll.

What is mean by Fraction?

The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.

All we need to do is to add 36 1/3 and 6 3/4 together.

Let's convert the number to improper number and then add

36 1/3 = 109/3

6 3/4 = 27/4

109/3 + 27/4

= 436 + 81 / 12

= 517/12

= 43 1/12

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Help me please, I would appreciate it!

Answers

I am writing a summary of the news article "A new bill would lower California college costs for some students living in Mexico" from sacbee.

How to write the summary of the given news article?

California Assemblyman David Alvarez has introduced Assembly Bill 91, which would create a five-year pilot program allowing some Mexican students living within 45 miles of the California border to pay in-state tuition at one of seven community colleges in San Diego and Imperial Valley counties.

The program would be limited to 200 participants per campus, who would need to be U.S. or Mexican citizens with a visa. The average in-state tuition for California community colleges is $1,246 per year, while out-of-state tuition is $6,603.

This bill has raised concerns among some legislators, who worry that it may pull funds away from the rest of the community college system and increase California's already large budget deficit. The bill is currently waiting to be heard in the Assembly’s Higher Education Committee.

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