help the pictures underneath

Help The Pictures Underneath

Answers

Answer 1

Answer:

Step-by-step explanation:

I believe the correct answer is A, but im not sure. Hope it helps! <3

Answer 2

Answer:

a

Step-by-step explanation:

it takes a long time for a river to carve a path through rock. for example it took the grand canyon 5-6 million years to form by way of river erosion


Related Questions

David needs to raise $250 to buy a video game system. He currently has $160 and he earns $7.50 an hour.Part ACreate an equation that David can use to find the number of hours, x, it will take for him to have $250.Part BHow many hours must David work to have $250 to buy the video game system?hours

Answers

David needs to raise $250, and he currently has $160 and earns $7.50 an hour.

Let x=number of hours he works, then:

\(250=160+7.50x\)

Solve for x and find the number of hours he has to work to have $250:

1. Subtract 160 from both sides of the equation:

\(\begin{gathered} 250-160=160+7.50x-160 \\ 90=7.50x \end{gathered}\)

2. Divide both sides by 7.50:

\(\begin{gathered} \frac{90}{7.50}=\frac{7.50x}{7.50} \\ \text{Simplify } \\ 12=x \end{gathered}\)

Thus, David must work 12 hours to have $250 to buy the video game system.

All tickets to a play have the same cost. A group bought 6 tickets and paid a total of $99. Write a multiplication equation that can be used to determine cost c in dollars for each ticket.

Answers

You can use the equation 6c= 99

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.

The cost of each ticket is $16.5.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

6 miles in 2 hours

0ne hour will be 3 miles.

We have,

6 tickets = $99

Divide both sides by 6.

1 ticket = 99/6

1 ticket = $16.5

The multiplication equation to determine the cost C in dollars of each ticket:

$C = 99 x 1/6

Thus,

The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.

The cost of each ticket is $16.5.

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Granny has taken up deep-sea fishing! Last week, she caught a fish so big that she had to cut it into 3 pieces (head, body and tail) in order to weigh it. The tail weighed 9kg and the head weighed the same as the tail plus one third of the body. The body weighed as much as the head and tail together. How much did the whole fish weigh?

Answers

Answer:

54kg

Step-by-step explanation:

Body weight = B

Tail weight = T

Head weight = H

Total weight = F

Use equation = B + T + H = F

We are told that T = 9kg, H = T + (1/3) x B, B = H + T

We have 3 equations and 3 unknowns, solve the system of equations to find W.  

B = H + 9

H = 9 + 1/3 x (H+9)=9+H/3+3 --> 2/3 x H = 12  --> H = 18

B = 18 + 9 = 27

F = 18 + 27 + 9 = 54kg

Tim drives a average speed og 80km per hhour for 3 hours 45 minutes work out how many kilometers tim drives

Answers

The distance Tim drives is 300 kilometers


Average speed= 80 km

Time= 3 hours 45 minutes (15/4 hours)

Distance= Average speed/time

= 80 × 15/4

= 1200/4

= 300 kilometers

Hence the distance Tim drives is 300 kilometres

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Cameron lives in Charleston, South Carolina. In his research, he found that the population was 10,050 in year 2000 and in 2007, the population was 23,000. What is the predicted population for 2014?

Answers

Answer:

The current population of Charleston, South Carolina is 141,931 based on our projections of the latest US Census estimates. The US Census estimates the 2018

Step-by-step explanation:

(?)^2-3(?)=-2 can anyone solve this

Answers

Answer: x = 1 or x = 2

Sub in x for ?:

x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)

x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)

x^2-x-2x+2 = 0 (Factor the expression)

x(x-1)-2(x-1) = 0 (Group like terms)

(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)

x-1 = 0

x = 1

x-2 = 0

x = 2

∴ x = 1 or x = 2.

The points (6, -2) and (h, -3) fall on a line with a slope of 1/3. What is the value of h?

Answers

Answer:  h = 3

======================================================

Work Shown:

m = 1/3 is the given slope

We'll use the slope formula to solve for h.

\((x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (h,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\\frac{1}{3} = \frac{-3 - (-2)}{h - 6}\\\\\frac{1}{3} = \frac{-3 + 2}{h - 6}\\\\\frac{1}{3} = \frac{-1}{h-6}\\\\1(h-6) = 3(-1)\\\\h-6 = -3\\\\h = -3+6\\\\h = 3\)

-----------------------------

Let's check the answer.

The point (h,-3) updates to (3,-3)

The claim is that the points (6,-2) and (3,-3) fall on a line with slope 1/3.

Use the slope formula to get the following:

\((x_1,y_1) = (6,-2) \text{ and } (x_2,y_2) = (3,-3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-3 - (-2)}{3 - 6}\\\\m = \frac{-3 + 2}{3 - 6}\\\\m = \frac{-1}{-3}\\\\m = \frac{1}{3}\\\\\)

We get a slope of 1/3 as expected.

The answer is confirmed.

A slope of 1/3 means that each time you move up 1 unit (rise), move to the right 3 units (run).

Answer:

17/3

Explanation:

Make it into a fraction like

6-h/-2+3 = 1/3

this equals 6-h/1=1/3

18-3h=1

-18     -18

-3h=17

/-3    /-3

h=17/3

Cannot simplify

h=17/3

A researcher randomly selects and interviews fifty male and fifty female teachers.
a. systematic
b. convenience
c. random
d. stratified
e. cluster

Answers

The sampling method described in the scenario is d. stratified sampling.

In stratified sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables. The researcher then randomly selects samples from each stratum in proportion to their representation in the population. This approach ensures that the sample is representative of the population's diversity.

In this case, the researcher has divided the population of teachers into two strata: male teachers and female teachers. By randomly selecting 50 male teachers and 50 female teachers, the researcher is ensuring that both genders are represented in the sample.

The researcher's intention is to have a sample that reflects the gender distribution of teachers in the population accurately. Therefore, stratified sampling is the appropriate method in this scenario.

Other sampling methods, such as systematic sampling, convenience sampling, random sampling, and cluster sampling, are not applicable because they do not specifically address the need to ensure proportional representation of genders in the sample.

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Let X 1 ,X 2 ,…,Xn be iid Bern(p) random variables, so that Y=∑ i=1n X i is a Bin(n,p) random variable. (a) Show that Xˉ =Y/n is an unbiased estimator of p. (b) Show that Var( Xˉ )=p(1−p)/n. (c) Show that E{ Xˉ (1− Xˉ )}=(n−1)[p(1−p)/n]. (d) Find the value of c such that c Xˉ (1− Xˉ ) is an unbiased estimator of p(1−p)/n.

Answers

a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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Suppose someone doesn't get causality. You try to explain with formulas and that fails. So now construct a DAG (directed acyclic graph). This DAG should illustrate both characteristics of a job that are related to unobservables that influence wages, and fatality risks on a job that are exogenous and also affected wages. Please upload a sketch of your DAG.

Answers



A DAG is a graphical representation of causal relationships between variables. In this case, we want to illustrate the relationships between job characteristics, unobservables, fatality risks, and wages. Let's start with the job characteristics as the primary variable.

1. Job Characteristics (X): This variable represents the various characteristics of a job, such as skill level, experience, education, etc.
Now, let's consider the two factors that influence wages:
2. Unobservables (U): These are unmeasurable factors that affect wages but cannot be directly observed, such as personal motivation, natural abilities, or discrimination.
3. Fatality Risks (F): These represent the risk of fatal accidents or hazards associated with a particular job.

Finally, we connect these variables to wages:
4. Wages (Y): This is the outcome variable we are interested in understanding.
Based on your question, the DAG would have arrows connecting job characteristics (X) to unobservables (U) and fatality risks (F). These two variables, in turn, would have arrows pointing towards wages (Y), indicating their influence on wage outcomes.

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CAN SOMEONE SOLVE THIS PLEASE
−4x−(x−1)=3(x−5)

Answers

Answer: x = 2

Hope this helps!

The answer is ‘2’
Distribute and combine like terms

What is 3.457 rounded to the nearest tenth​

Answers

3
Vvvvcghcfyhcxdvvcx
3.5 because the third number is larger then 4 so you round upwards

There are t pencils in a pack. I buy 4 packs. How many pencils? =​

Answers

Answer:4t

Step-by-step explanation: four pack plus the variable would be 4t because you can not solve for the variable

One way to calculate eps is: a. roa x book value per share. b. roe x book value per share. c. roa/ book value per share. d. roe/ book value per share.

Answers

The correct option is b. ROE x book value per share.

One way to calculate EPS is to get ROE x book value per share.

What is Earnings Per Share (EPS)?

Earnings per share (EPS) is determined by dividing a company's profit by the number of outstanding shares of common stock. The resulting number is used to determine a company's profitability.

Some key features regarding the Earnings Per Share (EPS) are-

It is typical for a business to report earnings per share (EPS) that have been adjusted for unusual items & potential share dilution.EPS is an extensively used metric for assessing corporate value because it shows what more money an organization tends to make for each share of stock it owns.A higher EPS suggests higher value since shareholders will pay for a company's shares only when those who believe the company's profits are greater than its share price.EPS can be calculated in a variety of ways, including that exclude extraordinary items and discontinued operations, and on a diluted basis.Earnings per share, like other financial metrics, is most beneficial when compared to competitor metrics, companies in the same industry, or over time.

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Given the functions below, find f(x) + g(x)
f(x) = 3x - 1
g(x) = x2 + 4

Answers

Answer:

x^2+3x+3

Step-by-step explanation:

f(x) = 3x - 1

g(x) = x^2 + 4

f(x) + g(x) = 3x-1+ x^2 +4

                 Combine like terms

                   = x^2+3x+3

A culture of bacteria has an initial population of 110 bacteria and doubles every 6
hours. Using the formula P = Po - 2ả, where Pt is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 19 hours, to the nearest whole number?

Answers

Answer:

988

Step-by-step explanation:

Solve the equation. Then check your solution.
6= -2(10n + 7)
A. 1
B 0.4
C. -1
D. 0.05

Answers

Answer: C. -1 ............

Which statements are true based on the diagram?
Select three options.
1. Points N and K are on plane A and plane S.

2. Points P and M are on plane B and plane S.

3. Point P is the intersection of line n and line g.

4. Points M, P, and Q are noncollinear.

5. Line d intersects plane A at point N.

Which statements are true based on the diagram?Select three options.1. Points N and K are on plane A

Answers

Answer:

Points N and K are on plane A and plane S.

Point P is the intersection of line n and line g.

Points M, P, and Q are noncollinear.  

e2020

Step-by-step explanation:

According to the given diagram of Intersecting planes, Option (1), Option (3), Option (4) are True.

What are planes?

A plane is a two-dimensional, flat surface that stretches indefinitely.

When does a point lie on a plane?

A point is said to lie on a plane when it satisfies the equation of plane which is ax^3 + bx^2 + cx+ d = 0 and sometimes it is just visible in the figure whether a point is lying on a plane or not.

In Option(1) : Points N and K are lying on the line of intersection of plane A and S and will satisfy the equation of both planes.

In Option(2) : Point P is lying on both planes B and S, but the point M is lying only on plane B, hence this option is wrong.

In Option(3) : It is clearly visible the Point P is the point of intersection of lines n and g.

In Option(4) : It is clearly visible that Points M,P,Q are not lying on the same line, hence they are non-collinear.

In Option(5) : Line d intersects the plane A at point L and not point N, hence this is also wrong.

Hence the correct options are 1,3,4.

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Please help me with this homework

Please help me with this homework

Answers

Answer: -6,-3,0,3,6

Step-by-step explanation:

u multiply the number on top by three. x is the number on the bottom

Answer:

-6, -3, 0, 3, 6

Step-by-step explanation:

-2x3=-6

-1x3=-3

0x3=0

1x3=3

2x3=6

Hope this helps!

Please mark me brainliest if possible. :)

A 2-gallon container of disinfectant costs $13. 4. What is the price per quart?

Answers

Answer:

$1.68

Step-by-step explanation:

1 gallon = 4 quarts

2 gallons = 13.4

13.4 (2-gallon price)/ 2 = 6.70 (1 gallon price)

6.70/4 = quart price

6.70/4 = 1.68 (quart price)

PLEASE HELP IM SWAMPED

PLEASE HELP IM SWAMPED

Answers

the first is  and answer and so is the 2

here is a scatterplot with its least squares regression line. lsr line with grid marks if there is scatter in the data about the line, there is prediction error. which value of x has the largest absolute prediction error?

Answers

Without seeing the scatterplot or the data, it is difficult to determine the exact value of x that has the largest absolute prediction error.

However, in general, the x-value with the largest absolute prediction error is typically the x-value that is farthest away from the regression line.

To calculate the prediction error for a given x-value, you can first calculate the predicted y-value for that x-value using the equation of the regression line. Then, you can subtract the actual y-value for that x-value from the predicted y-value to get the prediction error.

The absolute value of the prediction error represents the magnitude of the difference between the actual and predicted values, regardless of whether the prediction was too high or too low. Therefore, to find the x-value with the largest absolute prediction error, you can calculate the absolute prediction error for each x-value and then identify the x-value with the largest value.

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Y=x-3 fine the slope of each line

Answers

Answer:

m = 1

Step-by-step explanation:Formula: y = mx + bSolution

y = x - 3

1. Determine the slope

Slope is m

So when y = x - 3, then the slope will be 1 because when a variable does not has a number before it, then it will multiplied by 1.

Quien me puede dar.El resultado por favor 4. Resuelvo las siguientes situaciones problemáticas. En el depósito de materiales "Che rogarã" se venden tejuelones en: • paquetes de 15 tejuelones. • paquetes de 50 tejuelones. • y sueltos hasta 9 tejuelones. a. Estela pidió 138 tejuelones y le entregaron: 2 paquetes de 50, también 2 paquetes de 15 y 3 sueltos, ¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado? Datos Operación Respuesta: b. Don Antonio el constructor de la comunidad pidió: 3 paquetes de 50 tejuelones, también 4 paquetes de 15 tejuelones y 7 sueltos. ¿Cuántos tejuelones llevó Don Antonio? Datos solu

Answers

Answer:

a. A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones y aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido. b.  Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.

Step-by-step explanation:

Parte a

¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?

Datos

Pedido de Estela:

138 tejuelones.

Le entregaron:

Dos (2) Paquetes de 50 tejuelones.

Dos (2) Paquetes de 15 tejuelones.

Tres (3) Sueltos.

Operación

Para determinar cuántos tejuelones le entregaron a Estela, efectuamos las siguientes operaciones para determinar el número de tejuelones que le entregaron:

Dos (2) Paquetes de 50 tejuelones

2 * 50 tejuelones = 100 tejuelones

Dos (2) Paquetes de 15 tejuelones

2 * 15 tejuelones = 30 tejuelones

Es decir, multiplicamos el número de paquetes por la cantidad de tejuelones que trae cada uno.

Ahora sumamos el total de ambas cantidades y le adicionamos los tres (3) tejuelones sueltos:

(100 + 30 + 3) tejuelones = 133 tejuelones.

Pero Estela pidió 138 tejuelones, así que aún necesita:

(138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido realizado.

Respuestas

¿Cuántos tejuelones le entregaron a Estela?

A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones.

¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?

Estela aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido.

Parte b

¿Cuántos tejuelones llevó Don Antonio?

Datos

Pedido de Don Antonio

Tres (3) paquetes de 50 tejuelones.

Cuatro (4) paquetes de 15 tejuelones.

Siete (7) tejuelones sueltos.

Operaciones

Para determinar cuántos tejuelones le entregaron a Don Antonio, debemos multiplicar el número de paquetes por la cantidad de cada uno y sumar los siete (7) tejuelones sueltos, es decir, seguimos el mismo procedimiento de la pregunta anterior.

Tres (3) paquetes de 50 tejuelones

3 * 50 tejuelones = 150 tejuelones.

Cuatro (4) paquetes de 15 tejuelones

4 * 15 tejuelones = 60 tejuelones.

Ahora sumamos estas cantidades y le adicionamos los siete (7) tejuelones sueltos:

(150 + 60 + 7) tejuelones = 217 tejuelones.

Respuesta

¿Cuántos tejuelones llevó Don Antonio?

Entonces, considerando los resultados anteriores, tenemos que Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.

If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).

Answers

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.

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What information is needed to write the equation of a line in point-slope form?
The location of one ordered pair that lies on the line and the line's slope.
The line's slope and one ordered pair that is not on the line.
The location of one ordered pair on the line and one ordered pair that is not on the line.
The slope of the line and the location of the origin.

Answers

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

Point-slope form of the equation of a line

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Ron wants to buy a book of
poems. The original price
is $8. How much will Ron pay if he
buys it during the sale?
SALE
75% OFF
original price!

Answers

Answer:

Ron will pay $2 for the book of poems if he buys it during the sale

Step-by-step explanation:

To determine the sale price of the book of poems, you need to first calculate the discount that Ron will receive. To do this, multiply the original price of the book by the discount percentage: $8 * 0.75 = $6.

Then subtract the discount from the original price to find the sale price: $8 - $6 = $2.

So Ron will pay $2 for the book of poems if he buys it during the sale.

A 40% tip on a 36.53 meal

Answers

$14.61. Hope this is right!!
A 40% tip on a 36.53 meal

Answer:

$14.612

Step-by-step explanation:

40% = 0.4

Find a 40% tip on a 36.53 meal.

We Take

36.53 x 0.4 = $14.612

So, the tip is $14.612

Find the smallest positive integer n so that f(x) = x1.log(x7 ) + x7.log(x4 ) is big-O of xn.

Answers

The smallest positive integer n so that f(x) = \(x1.log(x7) + x7.log(x4)\) is big-O of xn is 7.

we need to understand what it means for a function to be big-O of another function. In simple terms, it means that the first function grows no faster than the second function, up to a constant factor. Mathematically, we say that f(x) = O(g(x)) if there exist positive constants C and k such that |f(x)| <= C|g(x)| for all x > k. In this case, we want to find the smallest positive integer n such that f(x) = \(O(x^n)\). To do this, we can rewrite f(x) as follows:

f(x) = \(x1.log(x7) + x7.log(x4)\)

= \(log(x7^x1) + log(x4^x7)\)

=\(log(x7^x1 * x4^x7)\)

Now, we can see that the function inside the logarithm is a product of powers of x4 and x7, which means that it grows no faster than \(x^7\). Therefore, we can conclude that f(x) = O\((x^7)\). To show that this is the smallest possible value of n, we would need to demonstrate that f(x) is not O\((x^6)\), but that is beyond the scope of this answer.

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A line passes through the points (−4, 50) and (5, −31). What is the equation of the line in slope-intercept form?

Answers

Answer:

y = - 9x + 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )

m = \(\frac{-31-50}{5-(-4)}\) = \(\frac{-81}{5+4}\) = \(\frac{-81}{9}\) = - 9 , then

y = - 9x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, - 31 )

- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )

14 = c

y = - 9x + 14 ← equation of line

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