Write in standard form an equation for the line with slope 1/3 through
the point (2,-2).

Answers

Answer 1

Answer:

x - 3y = 8.

Step-by-step explanation:

Use the point-slope form of the equation of a line:

y - y1 = m(x - x1)  where m = the slope and (x1, y1) is a point on the line.

So substituting the given values:

y - (-2) = 1/3(x - 2)

y + 2 = 1/3x - 2/3     Multiply through by 3:

3y + 6 = x - 2

x - 3y  =  6 + 2

x - 3y = 8  <---- Standard Form.


Related Questions

PLSSS HELP IF YOU TURLY KNOW THISSS

PLSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer:

x=3

Step-by-step explanation:

2(10x+2)=64

20x+4=64

20x=60

x=60÷20

x=3

Answer:

x=3

Step-by-step explanation:

2

(10x+2)=64

=

20x+4=64

Subtract 4 from both sides

20x=60

Divide both sides by 20

20x/20 = 60/20

therefore x = 3

the booking limits for four fare classes in a flight are given as . (a) what is the available capacity for these four classes, i.e., what is the booking limit for classes {1, 2, 3, 4}? [ select ] (b) from this available capacity, how many seats are protected for class 1, i.e., what is the protection level for class 1?

Answers

The function available capacity for the four classes is 40 seats each. The protection level for class 1 is 40 seats, meaning that 40 seats are protected for class 1. 40 + 40 + 40 + 40 = 160

The booking limits for the four fare classes in a flight are given as 40, 40, 40, and 40, respectively. This means that the available capacity for these four classes is 40 seats each. The protection level for class 1 is 40 seats, meaning that 40 seats are specifically reserved for passengers in class 1. This ensures that passengers in class 1 are guaranteed at least 40 seats on the flight. The protection level for the other classes is also 40 seats each, ensuring that at least 40 seats are available for each class. This allows airlines to ensure that all of their classes have sufficient seating capacity for their passengers. 40 + 40 + 40 + 40 = 160

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

7. An engineer makes different-size samples of
a new material. The table shows volumes and
their related masses.
a. What would be the mass of 100 cubic
centimeters of the material?
b. What would be the mass of 500 cubic
centimeters of the material?
Higher
Masses of Samples
Volume in Cubic
Centimeters (x)
9
14
25
Mass in
Grams (y)
90
140
250

Answers

The most appropriate choice for unitary method will be given by-

a) Mass of 100 \(cm^3\) of the material = 1000 g

b) Mass of 500 \(cm^3\) of the material = 5000 g

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit.
Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here,

a)Mass of \(9 cm^3\) of samples = 90 g

Mass of 1 \(cm^3\) of sample = \(\frac{90}{9}\) g

Mass of 1 \(cm^3\) of sample = 10 g

Mass of 100 \(cm^3\) of sample = \(10 \times 100 g\) = 1000 g

b) Mass of 500 \(cm^3\) of sample = \(10 \times 500\) g = 5000 g

To learn more about unitary method, refer to the link -

https://brainly.com/question/24587372

helpp with explanation:
a 25 foot telephone pole is to be secured with cable that will extend from the top of the pole to a stake in the ground 20 feet from the base of the pole. if y represents the length of the cable what is the approximate value of y?

Answers

Answer: 5

Step-by-step explanation:

What is the solution to 2(2x + 1) = 0.5(2x – 14)? F G W I H 3 -5​

What is the solution to 2(2x + 1) = 0.5(2x 14)? F G W I H 3 -5

Answers

Answer:

F -3

Step-by-step explanation:

2(2x+1)=0.5(2x-14)

(4x+2)=(1x-7)

3x=-9

-3

Please write Everything down steps and things like that

Please write Everything down steps and things like that

Answers

Answer:

here ya go

Step-by-step explanation:

Please write Everything down steps and things like that

1. 6x+4x−1=2(5x+4)
2. 48x+43=47x+43
3. 2(3x+8)=2x+16+4x
4. 0.4(5x−15)=2.5(x+3)
5. 3(4x+2)=20x−9x+2

Answers

Answer:

1 . -9   =  0

2 .  x = 0

3 . 0  = 0

4 .x = -27

5 .  x = -4

Step-by-step explanation:

At the movie theatre, child admission is $6.50 and adult admission is $9.60. On Monday, 129 tickets were sold for a total sales of $1071.00. How many adult tickets were sold that day?

Answers

129 tickets = $1071
1071/129 = 8.30
75 adult tickets + 54 child’s tickets = $1071 so 75 adult tickets were sold that day

Suppose a survey of 979 business owners found that more than ought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.

Answers

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

What is Descriptive Statistics?

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

To learn more about the, Descriptive Statistics visit:

https://brainly.com/question/13335435

#SPJ4

The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

I NEED AN ANSWER ASAP PLEASE

I NEED AN ANSWER ASAP PLEASE

Answers

Step-by-step explanation:

the correct answer is option a 6a-7

To remain healthy, a person needs at least 8 hours of sleep. A company wants to know if their employees get enough sleep. A random sample of 24 employees revealed that the average number of hours of sleep an employee gets is 6.7 with standard deviation of 2.3. What should be the test statistic?

Answers

Answer:

how many hours a week the employees are working?

Step-by-step explanation:

I could be wrong but that's my fault if it's wrong sorry

Which expressions are equivalent to 2(2x + 4y + x − 2y)? (1 point)

Answers

Answer:

6x + 4y

Step-by-step explanation:

2(2x + 4y + x − 2y)

= 4x + 8y + 2x - 4y

= 6x + 4y

The volume of a box, a rectangular prism, is represented by the function f(x) = x3 7x2 4x â€" 12. the length of the box is (x 6), and the width is (x 2). which expression represents the height of the box? x â€" 1 x â€" 6 x 1 x â€" 3

Answers

The box's dimensions are 7.5 m by 0.5 m by 4.5 m.

V(x) = x3 + 2x2 - 11x - 12

To factor, you want 3 numbers that multiply to give -12 (the constant term) and add to give 2 (coefficient of the x2 term).  The answer is 4, -3, and 1: (4)(-3)(1) = -12, 4 + (-3) + 1 = 2.  So the volume polynomial factors to:

V(x) = (x+4)(x-3)(x+1)

Now the volume of a rectangular box is:

V = Length*Width*Height = (x+4)(x-3)(x+1)

So let's pick height = (x+1) = 4.5  (you could pick any one of the three factors).

x+1 = 4.5

x = 3.5

Length = (x+4) = 3.5+4 = 7.5

Width = (x-3) = 3.5 - 3 = 0.5

The box's dimensions are 7.5 m by 0.5 m by 4.5 m.

To know more about Volume, check out:

https://brainly.com/question/463363

#SPJ4

Question 1
At the St. George's College bookshop, pens are sold at x dollars and rulers at
y dollars each. A student bought 4 pens and 5 rulers for $24 on Monday. He
then went back on Tuesday and bought 2 of the same pens and 7 of the same
rulers for $21.
i.
ii.
Write two equations in x and y to represent the information given above.
[2 marks]
Solve the equations for x and y.
[4 marks]
Calculate the total cost for one pen and one ruler.
ni.

Answers

The cost of one pen is $3.5 and one ruler is $2

Represent pen with x, and rulers with y.

So, the equations are:

\(4x + 5y = 24\) -- on Monday\(2x + 7y = 21\)  -- on Tuesday

To solve for x and y, we start by multiplying the second equation by 2

\(2(2x + 7y = 21)\)

\(4x + 14y = 42\)

Subtract \(4x + 5y = 24\) from \(4x + 14y = 42\)

\(4x - 4x + 14y - 5y = 42 - 24\)

Simplify the expression

\(9y = 18\)

Divide both sides by 9

\(y = 2\)

Substitute 2 for y in \(2x + 7y = 21\)

\(2x + 7(2) = 21\)

This gives

\(2x + 14 = 21\)

Collect like terms

\(2x = 21 -14\)

Evaluate like terms

\(2x = 7\)

Divide both sides by 2

\(x = 3.5\)

Hence, the cost of one pen is $3.5 and one ruler is $2

Read more about system of equations at:

https://brainly.com/question/14323743

A researcher wants to set up a regression equation where Y is a function X. Evaluate the researcher’s options given the following scenarios: (3)
i. Y is I(0); X is I(0)
ii. Y is I(2); X is I(0)
iii. Y is I(1); X is I(1); and the error term is I(0).

Answers

The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.


In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

To know more about regression visit:-

https://brainly.com/question/28168620

#SPJ11

Write the equation of a line with a slope of 3 that passes through (-3,2).

Answers

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

Which equation is a reasonable description of the least-squares regression line for the Predicted Rotten Tomatoes Score?

Predicted Rotten Tomatoes Score = –7.476 – 1.201 * Metascore

Predicted Rotten Tomatoes Score = 1.201 – 7.476 * Metascore

Predicted Rotten Tomatoes Score = –7.476 + 1.201 * Metascore

Predicted Rotten Tomatoes Score = 29.476 + 1.201 * Metascore

Answers

Answer:

Predicted Rotten Tomatoes Score = 29.476 + 1.201 * Metascore

Step-by-step explanation:

The image is needed to solve it, I found an image that I think would be the one that adapts to the exercise, which I will attach.

The answer is:

Predicted Rotten Tomatoes Score = 29,476 + 1,201 * Metascore

Because if we follow the red line, we can see that it impacts with the axis of the and a little lower than 30, that is to say that when Metascore is 0, the value must be close to 30 and in this case the only value close to 30 inside the answer is 29,476, so this is the answer.

Which equation is a reasonable description of the least-squares regression line for the Predicted Rotten

A skateboarding ramp is 20 in. high and rises at an angle of 14°.
How long is the base of the ramp?
Round to the nearest inch

Answers

The length of the base to the nearest inch is 37 inches

What are Angle of elevation and depression?Between the horizontal line and the line of sight, an angle called the angle of elevation is created. When the line of sight is upward from the horizontal line, an angle of elevation is created. In order to get the angle of elevation for an object at a distance of 10 units from the horizontal line (y=10) and 12 units from the observer w.r.t. the horizontal line (x=12), for instance, we write tan = 10/12, which can be simplified to tan = 5/6. The value of so obtained is tan-1 (5/6).

Given the following parameters from the questions:

Height of the ramp = 10in

angle of elevation = 15degrees

Using the SOH CAH TOA identity

tan 15 = opp/adj

tan 15 = 10/B

B = 10/tan15

B = 10/0.2679

B = 37 inches

Hence the length of the base to the nearest inch is 37 inches.

To learn more about Angle of elevation refer to:

https://brainly.com/question/88158

#SPJ1

In a vaulted church, each rectangular division of space, consisting of one groin vault, is called a ______. Multiple choice question.

Answers

In a vaulted church, each rectangular division of space, consisting of one groin vault, is called a bay. A bay is a section of the church that is defined by the vertical and horizontal supports of the building, creating a rectangular space with one groin vault as the ceiling. These bays can vary in size and shape depending on the architectural style of the church. The groin vaults are created by the intersection of two barrel vaults, creating a more complex and ornate design than a simple barrel vault.These vaults distribute the weight of the roof to the supporting walls, allowing for larger, more open spaces and the inclusion of windows for natural light. Bays can be found in various religious and secular buildings, and their arrangement helps create an organized and harmonious architectural composition. By dividing the space into bays, architects can create a rhythm within the structure, enhancing its overall aesthetic appeal and functional efficiency.

The use of groin vaults in church architecture allowed for a greater sense of height and space, as well as the ability to create intricate designs and patterns on the ceiling. Overall, the bays and groin vaults in a vaulted church are an important aspect of the architectural style and design of the building, providing a sense of grandeur and beauty to those who visit.

To know more about bay visit:

https://brainly.com/question/25866144

#SPJ11

I will brainlist who can answer this 4 Questions!!

III. Answer each of the follow ​

I will brainlist who can answer this 4 Questions!! III. Answer each of the follow

Answers

Answer:

25. 7 months

26. Php 12500

27. a. 3x-4y=8

b. 4x+2y=0

c. _ graph yourself

d. Yes it does

28. A. Yes

B. Yes

C. No

What Is The Answer To This Problem (-8) + 12 =

Answers

Answer:

4

Step-by-step explanation:

A chef bought has $25 to buy ribs (x pounds) and chicken (y pounds). Ribs cost $2.00 per pound and chicken costs $1.50 per pound. Write an equation that represents the total amount of money spent on the ribs and chicken

Answers

Answer is 2x + 1.5y = 25


Total money spent is $25

Ribs weigh x pounds and costs $2 per pound

So we can write it as 2x

Chicken weighs y pound and costs $1.5 per pound

So we can write it as 1.5y

The equation can be written as:

2x + 1.5y = 25


please help jssjdbrbensbsjshwha

please help jssjdbrbensbsjshwha

Answers

Answer:

0dh 8/6

Step-by-step explanation:

Answer:

-8/27

Step-by-step explanation:

First, make all fractions an improper fraction.

-2/3 / 9/4

Flip the right fraction over.

-2/3 * 4/9

multiply

and you get -8/27

A businesswoman wants to open a coffee stand across the street from a competing coffee company. She notices that the competing company has an average of 170 customers each day, with a standard deviation of 45 customers. Suppose she takes a random sample of 31 days. Identify the following to help her decide whether to open her coffee stand, rounding to the nearest whole number when necessary:

Answers

The results obtained by central limit theorem are given below-

μ = 170 customers per day

σ = 45 customers per day

n = 31

\(\begin{aligned}&\mu_{x}=170 \\&\sigma_{x}=8\end{aligned}\)

What is central limit theorem?

The Central Limit Theorem proves that the distribution of a sample means of size n can be estimated to the normal distribution with mean  (μ) and standard deviation (σ) for one random normally distributed variable X, with mean (μ) and standard deviation (σ);

\(s=\frac{\sigma}{\sqrt{n}}\)

This Central Limit Theorem may also be applied to skewed variables if n is at least 30.

She observes that the rival business averages 170 clients per day, with a standard deviation of 45 clients.

Thus, \(\mu=170, \sigma=45\)

Let's say she selects a random sampling of 31 days.

So, n = 31

Now, the mean is according to the Central Limit Theorem is

\(\mu_{x}=170\), and

standard deviation = \(\sigma_{x}=\frac{45}{\sqrt{31}}=8\)

Therefore, by using central limit theorem the data is obtained as,

μ = 170 customers per day

σ = 45 customers per day

n = 31

\(\begin{aligned}&\mu_{x}=170 \\&\sigma_{x}=8\end{aligned}\)

To know more about central limit theorem, here

https://brainly.com/question/18403552

#SPJ4

The complete question is-

A business woman wants to open a coffee stand across the street from a competing coffee company. She notices that the competing company has an average of 170 customers each day, with a standard deviation of 45 customers. Suppose she takes a random sample of 31 days. Identify the following to help her decide whether to open her coffee stand, rounding to the nearest whole number when necessary:

μ = _____customers per day

σ = _____customers per day

n = ____

\(\mu_{x}\) =____

\(\sigma_{x}\) = ____

The difference between the length and width of a rectangle is 7 units. The perimeter is 50 units. Find the dimensions.

Answers

Answer:

Step-by-step explanation:

Hello!

(x +x+7)*2 = 50

(2x+7)*2 = 50

4x+14= 50

4x= 50-14

4x= 36

x= 36/4

x= 9

9 et 16cm

At the sewing store, Sharon bought a bag of mixed buttons. She got 72 buttons in all. 54 of the buttons were large. What percentage of the buttons were large?

Answers

Sharon bought 72 buttons out of which 54 are large. So the percentage of buttons which are large is 75 %.

Percentage is the value that can be stated as a fraction of 100. Percentage is calculated by the equation,

Percentage = (Number of favored item/ Number of total items) × 100

Sharon bought a total of 72 buttons. She counted that 54 out of them are large.

So the fraction = Number of large buttons/Number of buttons in total

                        = 54/72

So the percentage = (54÷72)×100 = 75%.

Percent of remaining buttons = [(72-52)÷72]/100 = 25%

So the percent of large buttons Sharon bought is 75%

For more information regarding calculations involving percentage, kindly refer

https://brainly.com/question/29541337

#SPJ4

Angela just learned the processes of using the distributive property. She learned that when a number is outside the parentheses, it means to that number by everything inside the parentheses.

Answers

Answer:

Angela should multiply the outside number by the numbers in the parenthesis.

Step-by-step explanation:

The rule of distributive property:

\(a(b+c)=ab+ac\)

You have to multiply the outside number by numbers in the parentheses.

Example:

\(3(2+4)\\\text {Distribute 3 into the parenthesis:}\\\left \{ {{3*2=6} \atop {3*4=12}} \right.\\ \text {So:}\\\boxed{3(2+4)=6+12}\)

Answer:

its muiltiply

Step-by-step explanation:

i promise

A newsletter publisher believes that under 69% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim

Answers

There is enough proof to indicate that the percentage of newsletter readers who possess a Rolls Royce is less than 69%.



The null hypothesis is that p = 0.69, meaning that 69% of the newsletter readers own a Rolls Royce. The alternative hypothesis is that p < 0.69, meaning that less than 69% of the newsletter readers own a Rolls Royce.

We can use a one-tailed z-test to test the hypothesis. Assuming a sample size of n = 100, if we observe fewer than 69 Rolls Royces in our sample, we can reject the null hypothesis.

Using a z-test, we can calculate the z-score by using the formula:

z = (p' - p) / sqrt(p * (1 - p) / n)

where p' is the sample proportion, p is the hypothesized proportion, and n is the sample size.

At a significance level of 0.10, the critical z-value is -1.28. If the calculated z-score is less than -1.28, we can reject the null hypothesis.

If we conduct a survey of 100 newsletter readers and find that 58 of them own a Rolls Royce, the sample proportion would be p' = 0.58. Calculating the z-score, we get:

z = (0.58 - 0.69) / sqrt(0.69 * 0.31 / 100) = -1.83

Since -1.83 is less than -1.28, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that fewer than 69% of the newsletter readers own a Rolls Royce.

To know more about null hypothesis, refer here:

https://brainly.com/question/31525353#

#SPJ11

Dome Fuji, in Antarctica, is the ________ place in the world with a record low of –92 degrees.

colder
coldest
more cold
most cold

Answers

Answer: Dome Fuji, in Antarctica, is the coldest place in the world with a record low of –92 degrees.

Step-by-step explanation:

a company invests $91,000 for equipment to produce a new product. each unit of the product costs $11.40 and is sold for $17.98. let x be the number of units produced and sold. (a) write the total cost c as a function of x.

Answers

Total cost c as a function of x is $94000 + 11.2x.

A company invests $94,000 for equipment to produce a new product. each unit of the product costs $11.40 and is sold for $17.98.

let x be the number of units produced and sold.

now,

Number of units = x

so,

c(x)= $94000 + 11.2x

Equation

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Function

A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

Learn more about equation here :-

https://brainly.com/question/10413253

#SPJ4

Other Questions
Let u = {1,2,3,4,5,6,7,8,9} be the universal seta= {2,3,4,5,6} and b={3,5,7,8} be its sub setfind: a' b' true or false? the longer your social posts, the more likely that content will be seen and re-shared. Sandy ate 1/6 of a candy bar. John ate3/4 of it. How much more of the candy bar did John then sadly? Semester 2: Unit 7 Natural Selection Answer the following questions/statements (each number should have a response):1: A population of rabbits living in the desert have two fur phenotypes, brown and white. Analysis shows that over 3 generations, the brown fur rabbits have increased to 80% of the population. Explain why this occurred? (U7L2)2: Explain how to distinguish different species by their DNA. (U7L3)3: Explain why Charles Darwin discovered so many different but related species of finches on the Galapagos Islands. (U7L5)4: Explain how fossils show evidence for the process of natural selection. (U7L8)5: How does antigenic drift make it so hard for our immune systems to protect us from viruses like the flu? (U7L6)6: What is the relationship between skin pigmentation and how close a human population lives to the equator? (U7L7)7: What happened to the peppered moth population in England during the 1800s? Why? (U7L7) A crate is pulled with a force of 165 N at an angle 30 northwest. What is the resultant horizontal force on the crate?Help asap i need help asappppppppppppp 8 students have 5 flowers each.Which helps you find the total number of flowers find the value of e, the margin of error, for c = 0.99, n = 16 and s = 2.6. Scholars believe that there are still relics_____ under the tomb and awaiting to be axcavatedA. Burying B. buried C. are burying D. are buried Please solve, 1-8n-8= -7n-6n-12? in the course of normal events leading to fertilization and eventually birth, the route of the egg, embryo, and finally fetus is from the ovary into the __________. What is 773,727 rounded to the nearest ten thousand?Please help me TRUE / FALSE. the upper trapezius and rotator cuff work together in a weak shoulder to compensate and provide proper movement. Read the paragraph.After a severe storm or a sudden drop in temperature, a trip to the grocery store can become much more expensive. Bad weather often damages food crops, like fruits, vegetables, and grains. Then, there is not enough of these products to go around. This causes food cost inflation that may be temporary or long term.Drag the best definition of inflation into the box. (A) a rise in prices (B) a change in quantity (C) a decrease in value 3(x-6)+3=4+x pls solve fully which of the following is consistent with the death awareness movement? question 1 options: most people die in hospitals morticians beautify the body of the deceased. persons dying are surrounded by their family and friends. grieving is not encouraged outside of the funeral. Triangle ABC is similar to triangle A'B'C'. Calculate the length of side A'B'. Then check youranswer using a different method. What is the prime factorization for 7 A boy pushes his little brother on a sled. The sled accelerates from rest to (4 m/s). If the combined mass of his brother and the sled is (40.0 kg) and (20 W) of power is developd, how long time does boy push the sled?16s300s15s23s a store i roger's neighborhood sells boxes of pencils that have 3 in each box. roger bought several boxes of pencils athe store. which could be the number of pencils he bought?