20.3 applying the zero product property to solve equations

Answers

Answer 1

Explanation:

The zero product property allows us to factor equations and solve them. For instance, x² - 6x + 5 = 0 or (x - 1) (x - 5) = 0. With the zero product property, (x - 1) = 0 or (x - 5) = 0. As a result, the answers are x = 1 and x = 5.


Related Questions

A ladder leaning against a house makes an angle of 60 degrees with the ground. the foot of the ladder is 7 feet from the foundation of the house. how long is the ladder?

Answers

A right triangle with the ladder the hypotenuse and the adjacent side 7 and the angle 60 degrees. Use cosine

cos 60=7/hyp

0.5=7/hyp

hypotenuse is 14 feet, the length of the ladder


Gabrielle lives 24 miles from where she works, Leaving work, she drives at a speed of 45 miles per hour for 11 minutes. If Gabrielle
continues driving at this speed, how many more minutes will it take her to get home?

Answers

Answer:

As he is driving at spped of 45 mile per hours

This means that if he drivess for an hour he will cover 45 miles but here he only travel for 11 minute

Changing mph into mpm we get 0.75 mile per minute

Multiply 0.75 by 11

We get 8.25 mean he has moved 8.25 mile

As the total distance is 24

So subtract it 24- 8.25= 15.75

He will have to walk 15. 75miles more mean he will have to travel 21 min. More

Explanation:

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Font size of the bullet points on presentation materials should be large enough

Answers

The font size on presentation materials should be large enough  For the audience in the last row of the presentation room to view the presentation clearly.

Does the text appearance matters in a presentation?

The font that a person uses in any presentation will help one to  enhances the perceived tone that one gives in any kind of  presentation and as such it is important.

Note that when the Font size of the bullet points is large enough,  the audience in the last row of the presentation room can be able to view the presentation clearly and follow up with your presentation.

See full question below

Font size of the bullet points on presentation materials should be large enough:

A) For the audience in the last row of the presentation room to view the presentation clearly

O B) For your team members to be able to view the presentation clearly

C) For you to be able to read from the screen during the presentation

D) For the audience in the first few rows of the presentation to view the presentation clearly

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Which among the following is an example of independent events?

Answers

An example of an independent event can be deduced to be:

Rolling a number and flipping a coin.

What are independent events?

Independent events are events whose occurrence of certain events is not affected by the other. As we all know that an event is the set of all possible outcomes.

Let's assume that we have event A and event B. The set of these two events is said to be an independent event if the occurrence of event A is not affected by event B.

An example of an independent event can be deduced to be:

Rolling a number and flipping a coin.

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What does the map tell you about a difference between strategies of the magyars and the vikings? the magyars preferred to invade without settling. the vikings preferred to invade by land. the vikings preferred to settle along the coast. the magyars preferred to invade by land.

Answers

Since the Vikings were pagan, monasteries were popular targets of these raids because of the treasure that could be found inside their walls. Thus, option B is correct.

What the vikings preferred to invade by land

Surprise was a strategy the Vikings used. Before villages or monasteries could prepare to defend themselves, they would strike abruptly.

The purpose of the Viking longboat was to make a smooth beach landing. As a result, the attackers are now free to go forward straight toward their victim.

The Vikings were infamous for setting ambushes and hiding out in wooded areas to wait for advancing troops along established roadways.

Vikings would form a wedge with their best men at the front if they were facing respectable armies in raids.

Therefore, The monastery of Lindisfarne, which is located on a small island off the east coast of England, was attacked by the Vikings early on.

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Capital one invites employees to work on special projects during hackathons. employees can explore new technologies, rapidly push development forward, or just expand their network to include more colleagues interested in innovation. there’s always the possibility that more employees want to participate in the hackathon than there are roles available. if you were a hackathon team manager, how could you best address the conflict created by having more volunteers than open roles?

Answers

The ways to resolve conflict is  by the  team manage is by:

Control conflict by expanding the resource base.Eliminate conflict by assigning volunteers to another project team.

What is Conflict resolution?

Conflict resolution is known to be a type of devise methods that is often used in boasting a peaceful ending of any kind of conflict and it can be through the use of different methods.

Note that one can control conflict by widening the resource base and also remove any form of conflict by making volunteers to work for another project team in the scenario above.

See options below

Control conflict by expanding the resource base.

Eliminate conflict by assigning volunteers to another project team.

Eliminate conflict by avoiding the volunteers.

Stimulate conflict by making volunteers compete for the available roles.

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The muscular system is the system that helps make movement possible, but it also functions on an internal level by helping food move in which two parts of the digestive system?

Answers

Muscle fibers are part of the muscular system that helps in movement and contractibility. The muscle is attached to internal organs and bones.
The two-part of the digestive system where the muscular system operates are stomach and small intestine The functions of the muscular system in digestive organs be explained as:
The smooth muscles are found in the digestive organs like the stomach and intestine.
The muscular muscles contract and relaxes when the food passes through these organs.
The muscles in the digestive system help in pushing the food through the body for absorption and excretory processes. the stomach and intestine have a muscular system.

An angle is two collinear rays with a common endpoint

Answers

Answer:

Angles are formed by intersection of non- collinear lines, rays and planes.

What is the difference of the means of the distributions brainly

Answers

Answer:

Differences between sample means is equal to the difference between population means

This form will be sent to lily by the end of january. she will use this w-2 form to...

Answers

Answer:

obtain employment

Explanation:

did it

W-2s may be delivered by mail in hard copy or made electronically accessible online, either by the employer or through their payroll provider.

What is the use of w-2 form?

If you are qualified, your employer is required to give you a copy of your W-2 each year. Companies must submit this form by the end of January or the beginning of February after the tax year just finished.

If your W-2 is online, you may access it as often as necessary. It's common to ask for automated password recovery if you've forgotten your login information for an online site.

You should speak with your payroll or HR supervisor if you still require assistance with accessing your information online or if you require a fresh paper copy.

Therefore, This form will be sent to lily by the end of January. She will use this w-2 form to obtain employment.

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Megumi organizes the clean-up of an area contaminated by pollution. her job title is best described as . ernesto examines hazards for employees working in a warehouse. his job title is best described as . laura uses her knowledge of technology to organize safety programs for a vehicle repair facility. her job title is best described as .

Answers

The respective job descriptions are; Redevelopment Specialist, Safety Officer and Safety Technologist.

What is the Job Title of the Individual?

1) Since she organizes the clean-up of an area contaminated by pollution, her job title is best described as Redevelopment Specialist.

2) Since Ernesto examines hazards for employees working in a warehouse, we can say that his job title is Safety Officer.

3) Since  laura uses her knowledge of technology to organize safety programs for a vehicle repair facility, then we can say her job title is best described as safety technologist.

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السلام عليكم ورحمة الله وبركاته

Answer:

Megumi = Brownfield  Redevelopment Specialist

Ernesto = Occupational Health and Safety Specialist

Laura = Industrial Health and Safety Engineer

Explanation:

What is the probability that a randomly selected integer chosen from the first 100 positive integers is odd?

Answers

Answer:

I think its 50% I may be wrong tho

Which of these is the best example of an i message

Answers

Answer:

yeah yeah yeah come as a little boom boom 1 2 3 4 it's like being in a tenant that number one is the one I would go for you

Explanation:

v got my mind and my body and my body your mama got the taste of the charges later goodbye

Answer:

I feel frustrated when you tease me about smoking

According to the table, which function grows the fastest?

Answers

Answer:

C

I JUST DID IT.

John estimates the value of his car over time. the equation for the line of best fit is approximated as y = –2.9x + 17.7, where y represents the value, in thousands of dollars. what values complete the residual table? a = b = c = d =

Answers

The values that complete the residual table a, b, c, d are as follows:

a = 14.8, b = 0.1, c = 9, d = -1.1

What is the equation of a straight-line graph?

A straight-line graph takes the form y = mx + c, in which (m) refers to the gradient, (y) is the intercept, and (c) is the starting value when (x) is zero.

So, from the given information:

y = -2.9x + 17.7 --- (1)

So, to estimate the value of (a) in the table, we have to replace (y = a) and (x = 1) in equation (1).

i.e.

a = -2.9(1) + 17.7a = 14.8

To estimate the value of (b), we need to subtract the given value(12) from the predicted value (11.9)

b = 12 - 11.9b = 0.1

To estimate the value of (c), we need to replace (y = c) and (x = 3) in equation (1).

c = -2.9(3) + 17.7c = -8.7 + 17.7 = 9

To estimate the value of (d), we need to subtract the given value and predicted value.

d = 5 - 6.1d = -1.1

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Answer:

a=14.8

b=0.1

c=9

d= -1.1

Explanation:

:D

Patton has been suffering from obsessive-compulsive disorder for several years, and none of his medications have helped. patton is ready to try anything and asks his doctor for another solution. which treatment is his doctor likely to recommend?

Answers

The treatment that that the doctor is most likley to recommend is; Deep brain stimulation (DBS).

How to treat obsessive-compulsive disorder?

Obsessive–compulsive disorder (OCD) is defined as a mental disorder where people feel the need to check things repeatedly, perform certain routines repeatedly or have certain thoughts repeatedly.

Now, when someone has been suffering with ICD for several years without solution, the most likely solution would be Deep brain stimulation (DBS).

DBS is approved by the FDA to treat OCD in adults older than 18 years  who don't respond to norma;l medications. This process of DBS involves implanting electrodes within certain areas of your brain.

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A body moving in the positive x direction passes the origin at time t = 0. between t = 0 and t = 1 second, the body has a constant speed of 24 meters per second. at t = 1 second, the body is given a constant acceleration of 6 meters per second squared in the negative x direction. the position x of the body at t = 11 seconds is

Answers

Integrate over [0, 1] to get the position of the body after 1 second. It starts at the origin, so we take x(0 s) = 0 m and using the fundamental theorem of calculus,

[tex]\displaystyle x(1\,\mathrm s) = x(0\,\mathrm s) + \int_{0\,\rm s}^{1\,\rm s} \left(24\frac{\rm m}{\rm s}\right) \, dt = 24 \, \mathrm m[/tex]

Then for time t ≥ 1 second, we integrate over [1, 11] to get the position after the next 10 seconds of motion. Since x(1 s) = 24 m, we have

[tex]\displaystyle x(11\,\mathrm s) = x(1\,\mathrm s) + \int_{1\,\rm s}^{11\,\rm s} \left(24\frac{\rm m}{\rm s} - \left(6\frac{\rm m}{\mathrm s^2}\right) t\right) \, dt = \boxed{-36\,\mathrm m}[/tex]

Without using calculus, in the 1st second of motion the body travels at constant speed, so it reaches a new position of

x = (24 m/s) (1 s) = 24 m

In the next 10 seconds, the body has constant acceleration and its velocity at time t is

v = 24 m/s - (6 m/s²) (t - 1 s)

so its "initial" velocity is 24 m/s, and after 10 seconds it attains a "final" velocity of

24 m/s - (6 m/s²) (11 s - 1 s) = -36 m/s

Then the body travels a distance x such that

(-36 m/s)² - (24 m/s)² = 2 (-6 m/s²) x   ⇒   x = - 60 m

and so the body's net change in position is 24 m - 60 m = -36 m.

Customers with high credit scores are likely to be approved for credit because:

Answers

Answer: they are considered more likely to pay back borrowed money in a timely matter.

Explanation:

In gas welding, two metals are joined by generating an electric arc between a covered metal electrode and the base metal. is this statement true or false?

Answers

Gas welding is a process that joins the metal with the help of gasoline and oxygen. In gas welding, the metals are joined together by an electric arc.

What is gas welding?

Gas welding is a type of welding process that is used to connect metals. It is a fusion welding that uses heat flame as a source of heat at high temperatures.

In this welding process, the electric arc is created between the metal electrode and the base or the workpiece metal resulting in their fusion.

Therefore, the given statement is true.

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To use the wireless network in the airport you must pay

Answers

Answer:

daily fee

Explanation:

it means "If you want to use the wireless network in the airport then you must pay daily fee unless you are a subscriber to the service."

In a certain economy when income is $100 consumer spending is $60

Answers

Answer:

In a certain economy, when income is $100, consumer spending is $60. The value of the multiplier for this economy is 4. It follows that, when income is $101, consumer spending isa. $60.25.

From 1820 to 1850, the largest group of immigrants came to the united states from

Answers

Answer:

1820 and 1850, the largest number of immigrants to the United States came from. Ireland. What made working conditions in factories dangerous during the first.

Explanation:

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A baseball team plays in a stadium that holds 55000 spectators with ticket prices at 10 the averag 3

Answers

Answer:

A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attend ance had been 27,000. When ticket prices were lowered to 8, the average attendance rose to 33,000

Explanation:

Drag the types of electromagnetic waves to place them in order of increasing wavelength.

Answers

Answer:

From longest wavelength to shortest: radio waves, microwaves, infrared, optical, ultraviolet, X-rays, and gamma-rays.

Explanation:

To say that an object is electrically polarized is to say that

Answers

Answer:

To say that an object is electrically polarized is to say that object have polarity and the charges on both the poles are not equal in either magnitude or direction.

Explanation:

When an object is subjected to any external electric field, the electric field distorts the negatively charged electrons into opposite direction of the field and polarization occurs.

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Which major processes were needed for the origin of life on earth? abundance of oxygen and the ozone layer active volcanoes and very cold temperatures low levels of ultraviolet radiation and specific mixture of gases organic molecules produced from spontaneous synthesis or from meteorites

Answers

Answer:

The major processes needed for the origin of life on Earth were the appearance of the first organic compounds, their assembly into macromolecules, self-replicating properties and separation by means of membranes.

Explanation:

The professor samples her class by selecting 5 females and 7 males. this type of sampling is called?

Answers

Answer:

Random selection

Explanation:

Use the ideal gas law equation to find the molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp.

Answers

The value of molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp is 80 g/mol.

What is ideal gas law?

The ideal gas law can be given as,

[tex]pV=nRT[/tex]

Here, (p) is pressure, (V) is volume, (n) amount of substance, (R) is ideal gas constant and (T) is the temperature.

For the given problem the modified ideal gas law, (written below) can be used.

[tex]PM=dRT[/tex]

Here, (M) is molar mass and (d) is density.

The molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp. As the density is ratio of molar mass to volume. Thus,

[tex]d=\dfrac{40}{11.2}\\d=3.57\rm\; g/L[/tex]

The standard value of temperature and pressure is,

[tex]T=273\text{ K}\\p=1\rm\; bar[/tex]

The value of ideal gas constant (R) is 0.0821 atmL per mol K. Put these values in the above formula,

[tex]1\times M=3.57\times0.0821\times273\\M=80\rm\; g/mol[/tex]

Thus, the value of molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp is 80 g/mol.

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Which sentence uses correct punctuation? question 10 options: tessa ate a sandwich yet she still felt hungry. tessa ate a sandwich yet, she still felt hungry. tessa ate a sandwich, yet she still felt hungry. tessa ate, a sandwich yet she still felt hungry.

Answers

tessa ate a sandwich, yet she still felt hungry.

Find the 25th term of the sequence if a1 = 5 and d = 0.5

Answers

Answer: 17

Explanation:

a1+(n-1)da25= 5+(25-1)0.5a25= 5+(24)0.5a25= 5+12a25= 17

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