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If we changed the 3 to a 0 in the equation, what would happen to the graph?

y=-0.14x=+3

9 answers

It seems there is a slight error in the equation you provided. The use of both "="- and "+" appears to be incorrect. Assuming you meant a linear equation in slope-intercept form \(y = mx + b\), let’s clarify your original equation.

If we correct it as:

  1. Original equation: \(y = -0.14x + 3\)

Now, if we change the 3 to a 0, the equation becomes:

  1. New equation: \(y = -0.14x + 0\) or simply \(y = -0.14x\)

Changes to the Graph:

  1. Y-Intercept:

    • The original equation has a y-intercept of 3 (where the line crosses the y-axis).
    • The new equation has a y-intercept of 0 (where the line now crosses the y-axis at the origin).

  2. Slope:

    • The slope, -0.14, remains unchanged, meaning the direction and steepness of the line stay the same.

Summary of Graphical Changes:

  • The line would shift downward, moving from being positioned higher with a y-intercept of 3 to passing through the origin (0,0) with a y-intercept of 0.
  • The overall slope of the line will remain constant, but its vertical position on the graph will change.

So, to sum up, changing the y-intercept from 3 to 0 shifts the entire line down to cross the y-axis at the origin, while maintaining the same slope.

If we changed the 4 to a 2 in the equation, what would happen to the graph?

y=4x+3

If we change the 4 to a 2 in the equation \(y = 4x + 3\), the new equation would be:

New Equation:

\(y = 2x + 3\)

Changes to the Graph:

  1. Slope:

    • In the original equation, the slope is 4, indicating that for every unit increase in \(x\), \(y\) increases by 4 units.
    • In the new equation, the slope is 2, indicating that for every unit increase in \(x\), \(y\) increases by 2 units.
    • This means the line will be less steep in the new graph compared to the original graph.

  2. Y-Intercept:

    • Both equations have the same y-intercept of 3, meaning the lines will cross the y-axis at the same point (0,3).

Summary of Graphical Changes:

  • The key change is in the slope: the line becomes less steep when changing the slope from 4 to 2.
  • The y-intercept remains the same, so both lines will intersect the y-axis at the same point (0, 3).
  • Overall, the line representing the equation \(y = 2x + 3\) will be a flatter line compared to the line representing \(y = 4x + 3\).

In summary, changing the slope from 4 to 2 leads to a graph that is less steep while maintaining the same y-intercept.

How does one become a citizen? Select all that apply.
(1 point)
Responses

A person is born in the United States.
A person is born in the United States. - only 2 answers are allowed

A person of foreign birth is granted citizenship after living in the U.S. for five years.
A person of foreign birth is granted citizenship after living in the U.S. for five years. - only 2 answers are allowed

A person of foreign birth successfully completes the naturalization process.
A person of foreign birth successfully completes the naturalization process. - only 2 answers are allowed

A person marries someone who is already a U.S. citizen.

Why is voting an important civic responsibility?

(1 point)
Responses

It is part of the Constitution.
It is part of the Constitution.

It is required by law.
It is required by law.

It determines the best-known members of a community.
It determines the best-known members of a community.

It ensures that government represents the people.

Of the following choices, which ones are considered democratic values? Select all that apply.

(1 point)
Responses

serving in the military
serving in the military

honesty
honesty

patriotism
patriotism

voting in an election

Here are the appropriate responses to each section of your questions:

How does one become a citizen?

Select all that apply. (Only 2 answers are allowed)

  1. A person is born in the United States.
  2. A person of foreign birth successfully completes the naturalization process.

Why is voting an important civic responsibility?

Select all that apply. (Only 1 answer is allowed)

  • It ensures that government represents the people.

Of the following choices, which ones are considered democratic values?

Select all that apply. (Only 2 answers are allowed)

  1. honesty
  2. voting in an election

Summary:

  1. Citizen Becoming Methods: U.S. birth and completing naturalization.
  2. Importance of Voting: Ensures representation.
  3. Democratic Values: Honesty and voting.

The constraints of "only 2 answers are allowed" apply to the first and third sections according to your instructions.

Which phrase defines a sound argument?(1 point)
Responses

an impractical analysis that is hard to prove
an impractical analysis that is hard to prove

a popular opinion
a popular opinion

a loud remark
a loud remark

a sensible and valid statement

Which statement describes a sound reason used to support a claim?(1 point)
Responses

Sound reasons are full of emotion.
Sound reasons are full of emotion.

Sound reasons use fancy language.
Sound reasons use fancy language.

Sound reasons are grounded in fact.
Sound reasons are grounded in fact.

Sound reasons represent one person's opinion.

Which step should people take first after viewing a commercial for a product?(1 point)
Responses

buy the product if the commercial was funny
buy the product if the commercial was funny

make a decision based on whether they liked the background music
make a decision based on whether they liked the background music

base their final decision on the visuals used
base their final decision on the visuals used

examine their emotional response

Besides a speaker's reasoning, which factor might affect a person's impression of the arguments in a radio speech?(1 point)
Responses

the speaker's visual aids
the speaker's visual aids

the background music
the background music

the speaker's height
the speaker's height

the speaker's appearance
the speaker's appearance

Which statement is a sound reason to support a leash law for dogs?(1 point)
Responses

Leashed dogs are less likely to bother other dogs and humans.
Leashed dogs are less likely to bother other dogs and humans.

Some leashes are pretty and can display an owner's personality.
Some leashes are pretty and can display an owner's personality.

I am afraid of dogs and do not like seeing them in the park.
I am afraid of dogs and do not like seeing them in the park.

Everyone else I know lives in a town with a leash law.

Here are the answers to your questions based on the definitions of sound arguments, reasoning, and supporting statements:

Which phrase defines a sound argument?

  • a sensible and valid statement

Which statement describes a sound reason used to support a claim?

  • Sound reasons are grounded in fact.

Which step should people take first after viewing a commercial for a product?

  • examine their emotional response

Besides a speaker's reasoning, which factor might affect a person's impression of the arguments in a radio speech?

  • the background music

Which statement is a sound reason to support a leash law for dogs?

  • Leashed dogs are less likely to bother other dogs and humans.

Summary of Responses:

  1. Sound Argument Definition: A sensible and valid statement.
  2. Sound Reason Description: Grounded in fact.
  3. First Step After Commercial: Examine emotional response.
  4. Impression Factors in Speech: Background music.
  5. Sound Reason for Leash Law: Leashed dogs are less likely to bother others.

These selections communicate a clear understanding of sound reasoning and argumentation.

Which information would a scientist be least likely to receive from a weather satellite?(1 point)
Responses

data about the path of an active storm
data about the path of an active storm

data about how many storms will occur in a season
data about how many storms will occur in a season

data about precipitation
data about precipitation

data about cloud cover

Use the scenario to answer the question.

A team of scientists is monitoring the development of a hurricane off the coast of Florida. They use satellite imagery and data from other sources to track the movement of the hurricane. They input the data and any new information they receive into a computer to create model of the storm.

Which statement best describes the primary purpose of the model?

(1 point)
Responses

The model allows scientists to prevent the storm from hitting the coast.
The model allows scientists to prevent the storm from hitting the coast.

The model assists scientists to choose a name for the hurricane.
The model assists scientists to choose a name for the hurricane.

The model permits scientists to predict future weather patterns.
The model permits scientists to predict future weather patterns.

The model helps scientists to more accurately predict the path and strength of the hurricane.

What is a disadvantage of using an extended weather forecast to plan an event?(1 point)
Responses

Extended weather forecasts are not based on scientific evidence.
Extended weather forecasts are not based on scientific evidence.

Extended weather forecasts are not developed using technological tools.
Extended weather forecasts are not developed using technological tools.

Extended weather forecasts may not accurately predict weather for distant dates.
Extended weather forecasts may not accurately predict weather for distant dates.

Extended weather forecasts may not contain data from reputable sources.

Predicting Weather Quick Check
4 of 44 of 4 Items

Question
Use the scenario to answer the question.

Freda is worried about an upcoming vacation she has planned. In the past, the area she is planning to visit has experienced extreme weather conditions. She receives the following advice from her four friends.

Henry: “I think you should postpone your trip. I watched an old documentary about a hurricane that made landfall around the same date that you are scheduled to arrive.”

Ian: “I think you should go ahead with your plans. I read in the most recent edition of the Farmer’s Almanac that this year's hurricane season is not supposed to be that dangerous.”

Julia: “I think you should postpone your trip. I checked the local 3-day weather forecast for the area, and you are scheduled to arrive the same day meteorologists predict the hurricane to make landfall.”

Kelsey: “I think you should go ahead with your plans. About three weeks ago, I watched a news report about this hurricane when it was just developing in the ocean. At the time, scientists predicted the hurricane would lose its energy before making landfall.”

Which friend offers Freda the most accurate advice concerning her trip?

(1 point)
Responses

Kelsey
Kelsey

Henry
Henry

Julia
Julia

Ian

Here are the answers to your questions based on the information provided.

Question 1: Which information would a scientist be least likely to receive from a weather satellite?

  • data about how many storms will occur in a season

Question 2: Which statement best describes the primary purpose of the model?

  • The model helps scientists to more accurately predict the path and strength of the hurricane.

Question 3: What is a disadvantage of using an extended weather forecast to plan an event?

  • Extended weather forecasts may not accurately predict weather for distant dates.

Question 4: Which friend offers Freda the most accurate advice concerning her trip?

  • Julia

Summary of Responses:

  1. Least Likely Information from Weather Satellite: Data about how many storms will occur in a season.
  2. Purpose of the Model: Helps predict the path and strength of the hurricane.
  3. Disadvantage of Extended Forecasts: May not accurately predict weather for distant dates.
  4. Most Accurate Advice: Julia (based on the specific 3-day weather forecast).

These answers reflect an understanding of weather forecasting and decision-making based on reliable sources of information.