A polymer rod is tested to determine its viscoelastic response. The rod's cross section is square with the side of 5mm. The rod's length before loading is 500mm. A tensile force of 500N is applied to the rod and the rod's length under load was measured as a function of time. Instantly after applying the load, the rod is stretched to 508mm. After 24 and 48 hour under load, the rod's length was measured as 550mm and 570mm, respectively. The load was then removed and the rod's length was measured as 525mm after a long time after the removal of the force (consider this as the permanent length). Determine the parameters of the Burger's model for describing this type of mechanical behavior

Answers

Answer 1

The Burgers Model is a linear viscoelastic model that consists of two elastic elements and one viscous element connected in series, where each of them is separated by a dashpot. The elements included in the Burgers model are a spring element, a dashpot, and an elastic element that are connected in series.

The parameters of the Burgers model for describing this type of mechanical behavior are-

σE =43.66 hours

τE =60.99 hours

σV = 1.75 mm/hour

The mechanical behavior of a polymer rod that is tested to determine its viscoelastic response is given below:

Initial length of the rod before loading = 500 mm

Side of the rod’s square cross-section = 5 mmTensile force applied on the rod = 500 N

The length of the rod under load as a function of time is as follows:Instantly after applying the load = 508 mmAfter 24 hours under load = 550 mm

After 48 hours under load = 570 mm

The length of the rod when the load is removed = 525 mm

The parameters of the Burgers model that describes this type of mechanical behavior can be determined by using the following equation:

∆L(t) = σE × {1 - exp (-t/τE)} + σV × t

Where,∆L(t) = change in length of the rod with time

σE = instantaneous elastic stress

σV = instantaneous viscous stress

τE = elastic relaxation time (time constant)

By substituting the given values in the above equation, we get;

∆L(t) = σE × {1 - exp (-t/τE)} + σV × t∆L(0) = σE × {1 - exp (0/τE)} + σV × 0⇒ σE = ∆L(0)

Now, we can calculate the value of τE and σV as follows:

For t = 24 hours, ∆L(t) = 550 - 508 = 42 mm

σE = ∆L(0) = 8 mmτE = t/ln (1 + σV/σE) = 24/ln (1 + σV/8)

For t = 48 hours, ∆L(t) = 570 - 508 = 62 mm

σE = ∆L(0) = 8 mmτE = t/ln (1 + σV/σE) = 48/ln (1 + σV/8)

When the load is removed, the length of the rod becomes 525 mm which is the permanent length of the rod.Therefore, the parameters of the Burgers model for describing this type of mechanical behavior are as follows:

σE = 8 mmτE (24 hours) = 43.66 hours

τE (48 hours) = 60.99 hours

σV = 1.75 mm/hour

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Related Questions

Series aiding is a term sometimes used to describe voltage sources of the same polarity in series. If a 5 V and a 9 V source are connected in this manner, what is the total voltage?

Answers

Answer:Total Voltage = 14V

Explanation: it is possible that a circuit  can contain more than one source of electromotive force which can cause flow of current in the same or opposite direction . When the  connection to  voltage sources  allows for current  from the voltage sources to flow in  same direction,it is termed  Series aiding  Thus, the  Total/effective voltage in a series aiding circuit is  computed as the sum of series aiding voltages .

 Here we have the series aiding voltages to be 5V and 9V ,

therefore,

Total Voltage = 5V + 9V

= 14V

show that the specific heat at constant volume cv of an ideal gas does not depend upon specific volume. start from the general equation (for all gases) for cv.

Answers

The specific heat at constant volume cv of an ideal gas does not depend upon specific volume because it is a function of the internal energy of the gas, which only depends on the temperature and the number of particles.

We can start from the general equation for cv: cv = (∂U/∂T)v
where U is the internal energy, T is the temperature, and v is the specific volume.

For an ideal gas, the internal energy is given by: U = (3/2)NkT
where N is the number of particles and k is the Boltzmann constant.
Substituting this into the equation for cv gives: cv = (∂U/∂T)v = (∂/∂T)(3/2)NkT = (3/2)Nk

This shows that cv is only a function of the number of particles and the Boltzmann constant, and does not depend on the specific volume. Therefore, the specific heat at constant volume cv of an ideal gas does not depend upon specific volume.

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2023 ariya has an available portable 120/240-volt evse cable that can be used for ________.

Answers

The portable 120/240-volt evse cable is used for standard charging connected to a 240-volt outlet and trickle charging when connected to a 120-volt outlet.

What do you mean by portable cable?

A cable with multiple conductors that are used for temporary electrical power connections requires flexibility is called as a portable cord.

Portable cable is allowed for Standard charging connected to a 240-volt outlet and Trickle charging when connected to a 120-volt outlet. This is an outlet for charging that is added to the Ariya vehicle by the Nissan manufacturer.

hence, The portable 120/240-volt evse cable is used for standard charging connected to a 240-volt outlet and trickle charging when connected to a 120-volt outlet.

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when applying an acrylic overlay, think of the nail as divided into how many zones?

Answers

Acrylic overlay is a popular technique used by nail technicians to give a protective layer to the natural nail or enhance the appearance of the nails. It involves applying a mixture of liquid and powder acrylic on the nails, which hardens to create a durable and long-lasting coating.

When applying an acrylic overlay, the nail is typically divided into three zones: the free edge, the stress area, and the nail bed. The free edge is the tip of the nail that extends beyond the fingertip, the stress area is the middle section of the nail that experiences the most pressure and tension, and the nail bed is the area closest to the cuticle. The free edge is the zone where the acrylic is applied the thinnest, usually just a thin layer of clear acrylic to protect the natural nail. The stress area is where most of the acrylic is applied, creating a thicker layer to provide strength and durability. The nail bed is the zone where the acrylic is applied the thickest, often in a light pink shade to create a natural-looking base for nail polish.

In conclusion, when applying an acrylic overlay, the nail is typically divided into three zones: the free edge, the stress area, and the nail bed. This division allows the nail technician to apply the acrylic in a way that provides maximum protection and durability while still creating a natural-looking finish.

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g 940 The beam AB has a negligible mass and thickness and is subjected to a triangular distributed loading. It is supported at one end by a pin and at the other end by a post having a mass of 50 kg and negligible thickness. Determine the two coefficients of static friction at B and at C so that when the magnitude of the applied force is increased to P

Answers

Answer:

μb = 0.096

μc  = 0.073

Explanation:

member AB:

-800( 4/3 ) + Nb (2) = 0

Nb (2) = 3200/3

Nb = 533.3N

Post BC:

summation of force along the y axis=0

Nc + Nb + 150(3/5 ) -50(9.81)=0

Nc + 533.3 + 150(3/5 ) -50(9.81)=0

Nc = 933.83 N

Also (-4/5)(150)(3) + Fb(0.7)= 0

Fb = (4/5)(150)(3)/0.7 = 51.429 N

Likewise alog the x axis,

4/5(150) - Fc -Fb = 0

4/5(150) - Fc -51.429 = 0

Fc = 4/5(150)  -51.429 =68.571 N

μb = Fb/Nb = 51.429/533.3  = 0.096

μc = Fc/Nc = 68.571 / 933.83 = 0.073

g 940 The beam AB has a negligible mass and thickness and is subjected to a triangular distributed loading.
g 940 The beam AB has a negligible mass and thickness and is subjected to a triangular distributed loading.
g 940 The beam AB has a negligible mass and thickness and is subjected to a triangular distributed loading.

Find the shortest arithmetic code for message abbabbabbb. Obtain probability of the occurrence of each symbol from the message sequence.

Answers

The arithmetic code for the message sequence 'abbabbabbb' is:

0.0000 0.0001 0.0000 0.0000 0.0001 0.0000 0.0001 0.0001 0.0001

The length of the encoded message is 34 bits.

The arithmetic code is an algorithm that encodes data by making use of probabilities of symbols or sequences. It is used for entropy coding in data compression. A shorter arithmetic code is desirable since it compresses the data more efficiently. The message is 'abbabbabbb'.Let's find the probability of each symbol in the message sequence as follows; Probability of a = 3/10Probability of b = 7/10Therefore, the probability of occurrence of each symbol in the message sequence is;

P(a) = 3/10P(b) = 7/10

Let's compute the shortest arithmetic code for the message. The first step is to calculate the cumulative probability of each symbol: Cumulative Probability of a = 3/10Cumulative Probability of b = 10/10The cumulative probability of the last symbol in the sequence must be 1.0.

After computing the cumulative probability of each symbol, the next step is to compute the range of each symbol. The range is calculated by taking the difference between the cumulative probabilities of the symbol and its previous symbol. Let's compute the range for each symbol in the message sequence. The range for a = 3/10 - 0 = 3/10Range for b = 7/10 - 3/10 = 4/10After computing the range for each symbol, the next step is to encode the message sequence using the calculated ranges and cumulative probabilities. The encoded message is obtained by concatenating the binary values obtained for each symbol in the message sequence. For instance, a can be encoded as 0.0000, while b can be encoded as 0.0001.

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Find the total present worth of a series of cash flows with an annual interest rate of 2% per year. Round your answer to the nearest cent.



Initial benefit of 5,330 at year 0

Benefit of 13,075 at year 3

Salvage value of 2,308 at year 4

Answers

The total present worth is $19,783.01

The present worth of a series of cash flow is the value of the cash flows in year 0 (today)

Cash flow in year 0 = 5330

Cash flow in year 1 = 0

Cash flow in year 2 = 0

Cash flow in year 3 = 13075 / (1.02)^3 = 12,320.86

Cash flow in year 4 = 2308 / (1.02)^4 = 2,132.24

Present worth = $19,783.01

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The two-second rule applies to vehicles traveling under?

Answers

Answer:The two-second rule is a rule of thumb by which a driver may maintain a safe trailing distance at any speed. The rule is that a driver should ideally stay at least two seconds behind any vehicle that is directly in front of his or her vehicle.

Explanation:

how to find density ? because the answer 764.526kg/m^3

can someone check ?


Q2)
volume =2.5m^3
weight = 18.75 kN

•specific weight=weight/volume
=18.75/2.5
=7.5kN/m^3

density =
mass/volume
no mass , so use formula weight =mass x gravity

18.75kN=mass x
9.81ms^-2

mass = 18.75 kN/9.81
mass =1.911

density = mass/volume
=1.911kg/2.5m3
=0.7644 kg/m^3

how to find density ? because the answer 764.526kg/m^3can someone check ?Q2) volume =2.5m^3weight = 18.75

Answers

Answer:

The weight is 18.75 KN/m³ that means

weight = 18750 N/m³

and mass = 1911 kg

The main target of the diplexer is to enable the antenna to work at different frequencies. *
True
False​

Answers

True is the answer.....

6. You are an electrician working in an industrial plant. You are building a motor control cabinet that contains six motor starters and six pilot lamps. All control components operate on 120 volts AC. Two of the motor starters have coil currents of 0.1 amperes each and four have coil currents of 0.18 amperes each. The six pilot lamps are rated at 5 watts each. The supply room has control transformers with the following rating (in volt-amperes):

75, 100, 150, 250, 300, and 500.

Which of the available control transformers should you choose to supply the power for all the control components in the cabinet?

Answers

Answer:

It's indeed safer to suggest a 150 VA transformer. Following table however is the clarification given.

Explanation:

For 2 motors with 0.1 A, the Power will be:

P = \(2\times 120\times 0.1\)

  = \(24 \ W\)

For 4 motors with 0.18 A, the Power will be:

P = \(4\times 120\times 0.18\)

  = \(86.4 \ W\)

As we know, for 6 pilot lamps, the power is "5 W".

So,

The total power will be:

⇒ P = \(24+86.4+5\)

       = \(115.4 \ W\)

Now,

Consider the power factor to be "0.95"

VA of transformer is:

= \(PF\times Power\)

= \(115.4\times 0.9\)

= \(109.63 \ VA\)

the types of fire-extinguishing agents for aircraft interior fires are

Answers

Answer:

Halon 1211 or equivalent fire extinguishers are spaced throughout the cabin and easily accessible from the aisle or entryway. A water fire extinguisher is typically located near a lavatory-galley complex. In some cases, one or more Halon 1211 extinguishers are used in place of the water fire extinguisher.

About college level
Which class is easier english 103 or 102, which class do u suggest me?

Answers

I would say 102 was easier
103 is better is only all about business writing

The declaration property used to set the text color on a web page is

Answers

Answer:

color

Explanation:

Without more context I cannot be sure that this is correct, but I believe you are looking for the CSS declaration property of "color".

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Convert 103.69 kN to TN.

Answers

103/69 kN = 10.406 tons

. There are given three numbers: A, B and C. Even if one of them equal 5 output TRUE, othewise output FALSE.​

Answers

This can be achieved through a variety of programming languages, here's an example using Python:

A = 4

B = 5

C = 6

if A == 5 or B == 5 or C == 5:

   print("TRUE")

else:

   print("FALSE")

What is a programming language?

A formal language with many instructions is referred to as a programming language. These guidelines are presented to find different outputs. Computer programs are the main use of programming languages. A set of guidelines are presented to ensure the computer's proper operation.

Programming languages are used to control the external devices. In this example, the code checks if any of the variables A, B, or C is equal to 5. If any of them are, the code will output "TRUE", otherwise it will output "FALSE".

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Before using a vise to mount work, you should do all of the following except

Answers

Before using a vise to mount work, wipe the vise base and worktable clean, inspect it for burrs and nicks, and bolt it firmly to the table.

What is meant by vise?A vise or vice is a mechanical tool used to hold an object in place so that work can be done on it. The two parallel jaws of a vise are threaded in and out by a screw and a lever, with one jaw being fixed and the other movable. A set of locking pliers with a lever action is what is meant by the term "vise grip." A vise, also spelled vice, is a holding mechanism with two parallel jaws; one jaw is fixed and the other is moveable via a screw, lever, or cam. The vise may be permanently affixed to a bench when used to hold a workpiece during manual processes like filing, hammering, or sawing.

The complete question is,
When a vise is used to mount work, ____.

wipe the vise base and worktable clean, inspect it for burrs and nicks, and bolt it firmly to the table

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what is the division of demand

Answers

Answer:Demand is the number of goods that the customers are ready and able to buy at several prices during a given time frame.Division of demand:Composite demand.Short-run and long-run demand.Price demand.Income demand.Competitive demand.Direct and derived demand.

1. An asbestos pad is square in cross section, measuring 5 cm on a side at its small end, increasing linearly to 10 cm on a side at the large end. The pad is 15 cm high. If the small end is held at 600 K and the large end at 300 K, what heat‐flow rate will be obtained if the four sides are insulated?2. Solve Problem for the case of the larger cross section exposed to the higher temperature and the smaller end held at 300 K.

Answers

The answer is : 1.73W

DNA can be represented as strings constructed from an alphabet of four characters: {A,C,G,T}. We can thus construct 4? = 16,384 possible different DNA strings of length 7. If we were to construct a well-balanced Binary Search Tree containing all 16,384 possible DNA strings of length 7, what would be the height of our BST? Measure "height" as the number of edges, not nodes, from the root to a leaf.

Answers

In order to answer this question, we first need to understand what a Binary Search Tree (BST) is and how it works. A BST is a binary tree data structure in which each node has at most two children, commonly referred to as the left and right child.

Additionally, in a BST, the left child of a node must have a value less than the value of the node, while the right child must have a value greater than the node. Given that we have 16,384 possible DNA strings of length 7, we can construct a well-balanced BST by taking the middle string as the root of the tree and recursively inserting the strings on the left or right of the root based on their alphabetical order.

In a well-balanced BST, the height of the tree is proportional to the logarithm of the number of nodes in the tree. Specifically, the height of a BST containing N nodes is approximately log2N, where log2 denotes the logarithm to base 2. In our case, we have 16,384 possible DNA strings of length 7. Taking the logarithm base 2 of this number gives us: log2(16384) = 14 Therefore, the height of our well-balanced BST would be approximately 14 edges from the root to a leaf.

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Increase the sampling time by a factor of 10 (to 0.1 seconds), keeping the frequency of the square wave the same, and observe the delay. Discuss relationship between sampling time and delay from one board to another.

Answers

Answer:

Time delay increases

Explanation:

Time delay is the delay between occurance of signal. If sampling time that is time between two samples is increased, the delay in the occurance of regenerated samples is also increased.

true or false: don't break or crush mercury-containing lamps because mercury powder may be released?

Answers

Answer:

true

Explanation:

don't break or crush mercury-containing lamps because mercury powder may be released?- true

What is one of the reasons to consider implementing a blockchain solution?

Answers

Blockchain is often used often in the verification and locating of multistep transactions. One of the reasons to consider implementing a blockchain solution is the ability to work on different versions of the same data.

Blockchain solution is known to keep transactions safe, limit compliance costs, and speed up data transfer processing. It is known to back up the accuracy of the data.

In Blockchain, all node can see all transactions that are taking place in the system and all will get a copy of each of them to update its data and approve it.

See full question below

What is one of the reasons to consider implementing a blockchain solution?

Options:

1.inability to track simultaneous updates by multiple users

2. ability to work on different versions of the same data

3.ability to verify that data has not been tampered with since its creation

4.inability to trace and access data of other users

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How is the foundation for a skyscraper different from a house?

Answers

Answer:

Shallow foundations, often called footings, are usually embedded about a metre or so into soil. ... Another common type of shallow foundation is the slab-on-grade foundation where the weight of the structure is transferred to the soil through a concrete slab placed at the surface.

Explanation:

Because I said so.

Answer the following either true (T) or false (F) (5 pts)
A geotechnical engineer made a preliminary settlement analysis for a foundation of an office building that is to be constructed at a location where the soil strata contain a compressible clay layer. She calculated 50 mm of primary consolidation settlement. The building will impose an average vertical stress of 150 kPa in the clay layer. As often happens in design practice, design changes are required. In this case, the actual thickness of the clay is 30% more than the original soil profile indicated. The estimated new primary consolidation settlement will also be 30% more and equal to 65 mm.
A foundation with an inclined load will tend to have a smaller bearing capacity than the same foundation with a vertical load.
Secondary settlement of a foundation is caused by a constant applied stress.
Consolidation can be defined as the reduction in soil volume due to the expulsion of water following loading.
Dense sand and undrained clay soils tend to experience punching shear failure.

Answers

Answer:

1. True

2. True

3. False

Explanation:

The office location is where the soil layer is not uniform. The thickness of the soil varies which could lead to doors being jammed. The engineer needs to estimate the differential in clay soil.

The inclined surface can hold less weight than a vertical surface. The capacity to hold the weight is due to the gravitational force which is exerted to the load.

What is the safe psi pressure for acetylene

Answers

Answer:

15psig

Explanation:

Most car and home loans require a borrower to pay back the loan with the ___________ option.

Answers

Answer:

are there any options, but if no I think the answer might be INTEREST

The acronym ABS stands for _____.
A. Antilock Braking System
B. Antilock Buoyancy System
C. Automatic Braking System
D. American Braking System

Answers

A Anti lock braking system. It works by pulsing the breaks under pressure to prevent the vehicle wheels from locking up and sliding

The acronym ABS stands for Antilock Braking System. The correct option is A.

Thus, ABS, as it is frequently abbreviated, stands for "Anti-lock Braking System."

Especially in emergency situations or on slick conditions, an anti-lock braking system is a safety device in cars that helps prevent the wheels from locking up when braking.

ABS lowers the possibility of sliding or losing control of the vehicle by enabling the driver to maintain steering control and maximize braking efficiency.

Thus, The acronym ABS stands for Antilock Braking System. The correct option is A.

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when installing conduit in reinforced concrete, it is best to use a

Answers

When installing conduit in reinforced concrete, it is best to use a masonry bit.

What is conduit?

Conduit is a tube or other non-flexible material in which electrical cables are housed. The use of conduit is necessary for protection against electric shock, mechanical injury, and chemical damage in the wiring system.

Conduit is utilized to run the wiring through various places to get them from one point to another. It provides extra support and protection to wires, reducing the risk of damage from external factors, and it is crucial in shielding wires in underground installations.

A masonry bit is a type of drill bit used to drill holes in concrete, brick, and other masonry materials. It is designed to drill through tough and hard materials that are difficult to drill through using other drill bits.

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When installing conduit in reinforced concrete, it is best to use a concrete saw to cut channels and then attach conduit clamps. Conduit is a type of protective casing used to house and protect electrical wiring. It is available in various materials such as PVC, metal, and fiberglass.

It is available in various materials such as PVC, metal, and fiberglass. Conduits are usually installed in various locations and may involve a range of techniques depending on the material used.The conduit can be installed in reinforced concrete, which is a type of concrete that has steel bars or fibers embedded to provide it with greater strength and durability. When installing conduit in reinforced concrete, it is best to use a concrete saw to cut channels and then attach conduit clamps. This process is also referred to as the "chasing method."The chasing method is a very common installation method. It involves cutting a channel into the concrete, laying the conduit in it, and then filling the channel with a patching compound.It is best to use a metal conduit that is resistant to damage, corrosion, and bending.The conduit should be cut to length and deburred to remove any sharp edges.

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Small particles in your power steering system may

Answers

Small particles in your power steering system may Damage the hydraulic pump.

Check more about the reason for the above in the power steering system below:

What is the Small particles about?

If a person is said to have notice that there is  small black particles that can be seen inside of the power steering reservoir, there is therefore some chances that are these are some piece of the hose, instead of  the pump or rack.

Since High-temperature pulsations can be able to lead the power steering hoses to be destroyed  from the inside.

Therefore, based on the above, one can say that Small particles in your power steering system may Damage the hydraulic pump.

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Answer all questions in blue font and restate each question except question 1. Be sure to answer all parts of the question.Define: equity, stratifying, stigma. Equity: justice according to natural law or right Stratifying ;Stratification of clinical trials is the partitioning of subjects and results by a factor other than the treatment given. Stigma is a mark of disgrace associated with a particular circumstanceDo you think that eliminating the honors courses increases equity? Briefly explain why or why not.Do you think that there is stigma on courses that are not honors classes? Briefly explain your opinion. NO honors courses would remove the stigma from non-honors classes and "eliminate racial disparities in honors enrollment."One of the arguments for removing the class is that Latinos are 54% of the population, but only 43% of the honors classes; for Black students, 6% in the population, but only 4% in the honors classes. Do these numbers seem dramatically off to you, or evidence of systemic discrimination? Explain why or why not.Do you think comparing students to percent of population and percent of class is a good way to measure discrimination or equity? Explain why or why not.If group Xs percent in class goes above their percentage in the population, should group X be capped, i.e. no more students from that group allowed into that class? Explain why or why not.Dr. Bettina Love is cited in the article as saying, "Until we take the hand off their [our students] backs that is holding them down called racism, bigotry and hate, they will not be able to rise." Do you think racism and bigotry is what is keeping students from honors classes? Briefly explain why or why not.Do you agree or disagree with the assessment that advanced and regular classes are essentially the same? Justify your answer. what is the magnitude of the torque on the molecule? express your answer with the appropriate units. Andrew has 30 rocks. He has 10 more rocks then Amanda. He has 15 fewer rocks then Rob. How many rocks does each person have? which three people are considered founding fathers of usa plato Skysong Windows manufactures and sells custom storm windows for three-season porches. Skysong also provides installation service for the windows. The installation process does not involve changes in the windows, so this service can be performed by other vendors. Skysong enters into the following contract on July 1,2020, with a local homeowner. The customer purchases windows for a price of $2,420 and chooses Skysong to do the installation. Skysong charges the same price for the windows irrespective of whether it does the installation or not. The installation service is estimated to have a standalone selling price of $600. The customer pays Skysong $1.960 (which equals the standalone selling price of the windows, which have a cost of $1,120 ) upon delivery and the remaining balance upon installation of the windows. The windows are delivered on September 1, 2020, Skysong completes installation on October 15.2020, and the customer pays the balance due. Prepare the journal entries for Skysong in 2020.. 2x - 3 > -4x + 6 whats the answer to this can you help with this question about riding bikes what's the answer to -|-7| Secondary spermatocytes undergo meiosis II to form {{c1::spermatids}} what is the initial value of y=2x+9 if f(x)= 2X^2 +1. what is f(x) when X equals three Solve for x9(x 5) = -108X = Which explains the difference between how the United States acquired Alaska and how it acquired Hawaii? You buy video games for $15.80to sell at you store.your markup is 120% find the amount of the markup and the amount you will sell the video games for Please help simplify this[tex]\frac{\sqrt{16} }{\sqrt{8} }[/tex] fill in the blank... why do members from less powerful groups often feel the need to know much about other powerful cultures? Solve This Question To The Answer And Show All Your Steps And Make Sure It Is Legible.Find the equation of the line that is orthogonal to both u = 2i + 5j 3k and thez-axis.solve this question to the answer and show all your steps and make sure it is legible. did wilmot agree with polk's or giddings explanation for the war Find the equation of the straight line RS. A)y = -2x + 3 B)y = -2x + 6 C)y = 2x + 3 D)y = 2x + 6