Answers
(x - 3)(x - 6) = 0
Expanding this equation gives:
x^2 - 9x + 18 = 0
Now we need to use the point (2, -2) to find the equation in intercept form.
First, substitute x = 2 and y = -2 into the standard form of a quadratic equation:
y = ax^2 + bx + c
-2 = a(2)^2 + b(2) + c
-2 = 4a + 2b + c
Next, substitute the x-intercepts into the equation:
y = a(x-3)(x-6)
We want the equation in intercept form, so we expand this equation:
y = a(x^2 - 9x + 18)
y = ax^2 - 9ax + 18a
Now we can use the three points we have to form a system of equations:
-2 = 4a + 2b + c
0 = 9a - 54a + 18a
0 = 3a
The last equation tells us that a = 0, which means the quadratic equation is a linear equation:
y = bx + c
To solve for b and c, we use the other two equations:
-2 = 4a + 2b + c
0 = 9a - 54a + 18a
Plugging in a = 0 into the first equation, we get:
-2 = 2b + c
Simplifying the second equation gives:
0 = -27a
Since a = 0, this equation is true and does not give us any new information.
We can now solve for b and c by solving the system of equations:
-2 = 2b + c
0 = -27a
Since a = 0, we can ignore the second equation and solve for b and c using the first equation:
2b + c = -2
We still have one degree of freedom, so we can choose any value for b and solve for c. Let's choose b = 1:
2(1) + c = -2
c = -4
Therefore, the equation of the quadratic function in intercept form is:
y = (x-3)(x-6)
or
y = x^2 - 9x + 18
which has x-intercepts at 3 and 6 and passes through the point (2, -2).
Related Questions
1.6. Suggest ONE strategy that families can put into place to help improve the well-being of their family member who lost their job. In your answer, also indicate how the strategy will help to put the family member in a more positive mind-set. (Life orientation)
Answers
Answer:
One strategy that families can put into place to help improve the well-being of their family member who lost their job is to encourage them to engage in physical exercise regularly. Engaging in physical exercise, such as jogging or yoga, can help to release endorphins, which are natural mood-boosters that can put the family member in a more positive mindset. Exercise can also provide a sense of accomplishment and help to alleviate stress and anxiety that may come with losing a job. Additionally, it can be a healthy and productive way to fill the time that may have been spent on the job, which can help the family member feel more purposeful and motivated.
Which are examples of normative goals? Check all that apply.
aiming for better grades next semester
winning an essay contest in English class
learning to speak a foreign language
campaigning to be class president
doing extra research for history class.
Answers
Answer:
campaigning to be class president winning an essay contest in English class
The correct answer for this question are:
campaigning to be class president winning an essay contest in English classBeing Normative can be regarded as evaluative standard. Normativity is a process can take place on daily basis
in human societies whereby there is designation of some actions as well as outcomes as being good/desirable or permissible and designation of others as being undesirable/bad or as being impermissible.
The word norm as regards normative goal can be regarded as standard set up for evaluation or making judgments that's related to behavior or outcomes.
Sometimes Normative can be used in a confusing manner to express being relating to a particular descriptive standard, this could be carrying out things that are normally done or things that that are expected by others to do in practice.
Some of the examples of these normative goals are:
campaigning to be class presidentwinning an essay contest in English classTherefore, normative goal can be regarded as evaluation of some standard.
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A system of organizations, people, activities, information, and resources involved in supplying a product or service to a consumer is called the
Answers
A system of organizations, people, activities, information, and resources involved in supplying a product or service to a consumer is called a supply chain.
A supply chain encompasses the entire process of delivering a product or service to a consumer, involving various interconnected components. Let's break down the elements of a supply chain:
Organizations: It involves multiple organizations, such as suppliers, manufacturers, distributors, wholesalers, retailers, and even service providers. These entities collaborate and interact to ensure the smooth flow of products or services.People: Individuals within each organization play crucial roles in the supply chain. They include managers, employees, logistics personnel, sales representatives, and other stakeholders involved in various activities throughout the chain.Activities: The supply chain encompasses a range of activities, including procurement, production, inventory management, transportation, warehousing, order fulfillment, and customer service. Each activity contributes to the overall process of delivering the product or service to the consumer.Information: Information flows throughout the supply chain, enabling coordination, decision-making, and synchronization. It includes data on inventory levels, customer orders, production schedules, logistics tracking, and demand forecasts.Resources: Various resources are required in a supply chain, such as raw materials, equipment, facilities, transportation vehicles, and financial capital. Effective resource management is crucial for optimizing the supply chain's performance.In summary, a supply chain integrates organizations, people, activities, information, and resources to ensure the efficient and effective delivery of products or services from suppliers to consumers.
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What is the FSA ID? Group of answer choices The FSA ID is your college ID number. The FSA ID is the same as your social security number and is used in filling out the FAFSA. The FSA ID allows colleges to access tax documents to aid in making financial aid decisions. The FSA ID allows students and parents to identify themselves electronically to access Federal Student Aid websites.
Answers
FSA ID allows students and parents to identify themselves electronically to access Federal Student Aid websites. The correct option is D.
What is FSA ID?FSA ID is a password and name that is given to the students and parents for login into the U.S. Department of Education (ED) online systems. This login password is used electronically to access Federal Student Aid websites. There is another form which is FAFSA.
Therefore, the correct option is D, The FSA ID allows students and parents to identify themselves electronically to access Federal Student Aid websites.
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What is the t-statistic?
Answers
In statistics, the t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error. It is used in hypothesis testing via Student's t-test. The t-statistic is used in a t-test to determine whether to support or reject the null hypothesis.
The t-statistic is a measure of the difference between the mean of a sample and the mean of the population, in units of the standard error. It is calculated by taking the difference between the sample mean and the population mean, dividing by the standard error of the mean, and then multiplying by the square root of the sample size.
The formula for the t-statistic is:
t = (sample mean - population mean) / (standard error of the mean)
The t-statistic is used in hypothesis testing to determine whether a sample mean is significantly different from a population mean. The t-distribution is used to calculate the probability (p-value) of observing a t-statistic as extreme as the one obtained from the sample, assuming the null hypothesis is true.
the sides of a triangle are 4, 8 and 10. If the longest side of a similar triangle measures 30, find the shortest side.
Answers
The length of the shortest side of a similar triangle is 12 cm. This can be calculated through corresponding parts of similar triangles or known as CPST.
Similar Triangles have the following features:
They have equal angles.
The ratio of corresponding sides is equal
Dimensions of the original triangle are 4 * 8 * 10
Therefore, the ratio of the longest side of both triangles is = 10 : 30
= 1 : 3
The ratio of the shortest side also equals 1 : 3
Shortest side in the original triangle = 4 cm
Let the shortest side of the similar triangle be x
Therefore, the ratio of shortest sides = ratio of longest sides
4 : x = 1 : 3
\(\frac{4}{x} =\frac{1}{3}\\ x=4*3\)
x = 12cm
Thus, the length of the shortest side is 12 cm
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I’m really confused on how to work this analysis out. Please help!! Black histogram: Population distribution (Distribution of time it takes for the PSU students to come to campus)
Blue histogram: Sampling distribution of X¯¯¯¯
X
¯
You will be observing what happen to the shape, center (measured by mean) and spread (measured by SD) of the sampling distribution of by:
Completing below table
Comparing the means of the two histograms, σn√
σ
n
with SD of blue histogram, and what happens to the shape of the blue histogram as the sample size increases.
Summarizing what you observe in a one or two sentences.
First row is already completed for you. Please note that this is a simulation, so each time you run the simulation numbers in the blue histogram will be slightly different but should be roughly the same.
Black histogram
Blue histogram
Mean
SD
Distribution
n (N in the app)
σn√
σ
n
Mean
SD
Distribution
16
5
Normal
5
2.24
16.05
2.22
Looks normal
Uniform
5
Skewed
5
Skewed
25
Answers
The mean of the blue histogram remains relatively unchanged with an increase in sample size, while the SD decreases as the sample size increases.
What is the change in the histogram?The shape of the blue histogram tends to converge towards a normal distribution as the sample size increases. The standard deviation determines the width of the curve in a normal distribution, which depicts a symmetrical representation of data around its mean value. It is represented graphically by the "bell curve.
The distribution of the blue histogram changes based on the underlying population distribution, showing uniform or skewed shape for non-normal population distributions.
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I need revision Question for food production
Answers
Answer:
What is Food Production?
Explanation:
What practical measures are needed to lower the ideological barriers between organic and GM ??
The author of passage 1 uses the phrase that’s right in order to
Answers
The context clues show that the author of passage 1 uses the phrase that’s right in order to convey the main idea.
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.
Here, the context clues show that the author of passage 1 uses the phrase that’s right in order to convey the main idea.
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Which of the following best describes how the author views people's theater?
A. Challenging to set up
B. Useful for getting a point across
C. A literacy campaign
D. It drives participation
Answers
Based on your own knowledge and opinion, what do you believe will be the most common job in New York in 2030? In one paragraph, explain your rationale.
Answers
Answer:
According to research and current trends, some of the most in-demand jobs in New York by 2030 could be related to technology, healthcare, and sustainability. With the ongoing digital transformation, the demand for IT professionals, software developers, and data analysts is expected to increase. The healthcare industry is also growing due to the aging population and advances in medical technology. Moreover, with the growing concerns about climate change and sustainability, there could be a rise in jobs related to renewable energy, environmental science, and green technology.
subscores on the SAT subject tests range from what to what
Answers
Answer:
Subscores on the SAT Subject Tests range from 20 to 80 In the student score report provided by the College Board, what do the percentiles indicate? How well a student scored compared to other test takers
Explanation:
A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $8.60 per pound should be mixed with 25 pounds of trail mix costing $3.20 per pound to create a mixture worth $4.74 per pound.
Answers
Answer:
Let c = the pounds of chocolate needed.
The weight of the snack mix is c + 13.
16.2c + 4.1(13) = 9.65(c + 13)
16.2c + 53.3 = 9.65c + 125.45
6.55c = 72.15
c = 11 lbs
Explanation:
Select the correct answer.
Jeff conducted a simple experiment on the effect of rising temperature on food. He concluded that while heat is useful for cooking food, it can lead to food spoilage if food is left outside in hot weather. He presented his results to his science class. How should the teacher and students respond if they are skeptical?
A.
Accept Jeff's results as true.
B.
Reject Jeff's conclusion.
C.
Repeat the experiment themselves.
D.
Be indifferent to Jeff's conclusion.
E.
Ask Jeff to stop experimenting with food.
Answers
Answer:
C
Explanation:
If they repeat the experiment themselves, then they'll see if his conclusion is correct or not.
From a creative cinematic viewpoint, why was it better that a production of The Lord of the Rings using human actors rather than simple animation did not take place until the 21st century?
Answers
Answer:
Simple animation would have served to relegate the story more to a children’s tale, rather than the richly complex story it was and continues to be.
what is the square root of your mom
Answers
answer:
sixty-nine
explanation:
Question 1 (1 point)
We fill the monthly newspaper's pages, article by article.
NO CHANGE
newspapers pages,
O a
Ob
ос
Od
newspapers pages
page's for the newspaper,
C
Answers
Answer:
c
Explanation:
BECAUSE I PUT PEANUT BUTTER ON ME AND LET MY DOG LICK IT OFF
what is the formula of gravity ??
Answers
what is the formula of gravity ?
_________________________________________
GRAVITYNewton's law of universal gravitation
\( \qquad \qquad \qquad \qquad \: F = G \frac{m1 \: m2}{r²} \)
F = FORCE
G=GRAVITATIONAL CONSTANT
M1 = MASS OF OBJECT 1
M2=MASS OF OBJECT 2
R = DISTANCE BETWEEN CENTERS OF THE MASSES
From the web.
________________________________________
Explanation:
F = gravitational force
G = gravitational constant
M = mass
r = distance
What evidence does Grandin give to support her claim that animals helping humans can be good for animals too?
Answers
Answer:
The evidence that Grandin provides for supporting her claim that animals are too helped when they help people is,
"That’s probably okay for a dog who’s been bred to be a companion animal, but a lot of the bigger breeds and practically all of the mix breeds were built for work. Having a job to do is a part of their nature; it’s who they are. The sad thing is, now that hardly anyone makes his living herding sheep, most dogs are out of a job."
Explanation:
'Dogs Make Us Human' is an autobiographical account written by Temple Grandin and Catherine Johnson. The article is about how dogs helps make human be human.
In the article, Grandin talks about how animals helping humans can also be good for humans. The evidence that she gives to support her claim is,
" That’s probably okay for a dog who’s been bred to be a companion animal, but a lot of the bigger breeds and practically all of the mix breeds were built for work. Having a job to do is a part of their nature; it’s who they are. The sad thing is, now that hardly anyone makes his living herding sheep, most dogs are out of a job." In this she is stating that when dogs helps human, it also helps them as it gives them a job to do.
Develop a table of specifications or test blue print in your area of study
Answers
Attached is a general example of a test blueprint or table of specifications that can be used in various fields of study. Here's an example for a hypothetical course on "Introduction to Computer Science".
What is the explanation for the attached table?This table outlines the different topics covered in the course, their respective weights (indicating their importance in the assessment), and the specific content areas within each topic.
This blueprint serves as a guide for creating exams and assignments, ensuring that the assessment covers a balanced representation of the course material.
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x² – 5x +3=0
5x + y = 39
Which of the following is the x-value of a solution
to the system of equations above?
A) 6
B) 12
C) 18
D) 36
Answers
The ___________ is a regular, recurrent pulsation that divides music into equal units of time.
Answers
Answer:
"beat"
Explanation:
Answer: Beat is a regular recurrent pulsation that divides music into equal unit of time
is time spent on phone dependent of battery life remaining or vice versa?
Produce a scatterplot of the provided dataset. Make sure to include a title and to assign labels to your axis. Edit the graph (i.e., set the background to transparent; borders to transparent; add greyed out grid lines) and add a regression line. Comment on the noted relationship (e.g., is it positive; is it negative?). What else can be said about the relationship concerning time spent on phone and battery life? If we were to break up the scatterplot into 4 quadrants; what would data points in the top left, bottom left, top right and bottom right say about the relationship concerning time spent on phone and battery life? For this example, in which quadrant(s) do the data points lie.)
Answers
The scatterplot will show that there is a negative relationship between time spent on the phone and battery life remaining.
How to explain the scatterplotThe scatterplot shows a clear negative relationship between time spent on the phone and battery life remaining. As time spent on the phone increases, battery life remaining decreases. The regression line also shows a negative slope, which confirms this relationship.
In bottom right, data points in this quadrant represent times when the battery life was low and the time spent on the phone was high. This is the most likely quadrant for data points to fall in, as it represents times when the phone was being used heavily.
In this example, all of the data points fall in the bottom right quadrant, which confirms that there is a negative relationship between time spent on the phone and battery life remaining.
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Yếu tố nào không ảnh hưởng đến quyết định thâm nhập thị trường?
A. Chi phí vận chuyển
B. Hàng rào thuế quan
C. Nguy cơ chính trị
D. Giá trị sản phẩm
Answers
Answer:
yeng fiend
Explanation:
polisido chi phen roaks
Discuss the pros and cons of the JIT strategy for a company’s operations?
Answers
Answer:
Just-in-time (JIT) inventory systems started in Japan in the 1970s and spread to the U.S. about a decade later. JIT is an inventory-management system that aims to help businesses have just enough inventory readily available to meet current demand while avoiding excess. There are many pros and cons for a small business to consider before adopting a JIT system.
Vending machines operate on a ______ schedule of reinforcement
Group of answer choices
fixed ratio
variable ratio
variable interval
fixed variable
Answers
Heights of 100 students were measured. The 95% confidence for Their mean heights was (169.61-170.39), and the
standard deviation = 2. Then the mean of this dataset equals?
(What is the principle to solve the question؟)
Answers
The principle is that to find the mean of the dataset, one would have to measure the height of all students and then calculate the mean.
How to calculate the mean?The mean of the dataset is not provided, but rather a confidence interval for the mean is given. The confidence interval for the mean is calculated using the sample mean, sample standard deviation, and sample size, and it provides a range of values within which we can be certain the true population mean falls with a certain level of confidence (in this case, 95%).
Therefore, the principle is that to find the mean of the dataset, one would have to measure the height of all students and then calculate the mean. With the sample mean, sample standard deviation, and sample size, one can only calculate the confidence interval of the mean.
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A restaurant serviced 730 customers at the first week and
696 customers at the second week. If the difference between
the first week and the second week is 4% of the third week,
how many customers did the restaurant service at the third
week?
Answers
ANSWER:
850customers were served in the third week.
Explanation:
First week = 730 customers
Second week = 696 customers
Difference between the first and second week = 730 - 696
= 34
4/100 x (customers served in the third week) = 34
4 x customers served in the third week = 34 x 100
4 x customers served in the third week = 3400
customers served in the third week = 3400/4
customers served in the third week = 850
Religious affiliations are an example of which type of data?
Answers
Answer:
it is deemed personal data grouped with
Explanation:
racial or ethnic origin;
political opinions;
religious or philosophical beliefs;
trade union membership;
processing of genetic data;
biometric data for the purpose of uniquely identifying a natural person;
health;
sex life or sexual orientation.
Ridges and Hills Landform Region(s) Ridges -run _________________ to the coast -Mark ancient ___________________ Hills Some in ____________ ___________ are taller than Florida ridges Picture/ Example Lakes Landform Region(s) -Formed after ______________ dissolved the limestone _____________ beneath them -More than __________ lakes across Florida
Answers
Ridges: run parallel to the coast
mark ancient geological faults
Hills: Some in the Appalachian Mountains are taller than Florida ridges
Lakes: Formed after glaciers dissolved the limestone substrate beneath them
More common in northern regions