What is the slope of the line that passes through the points (-9, 2) and (1, 27)?

Answers

Answer 1

Answer:

The answer is

[tex] \huge \frac{5}{2} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question the points are

(-9, 2) and (1, 27)

We have

[tex]m = \frac{27 - 2}{1 - - 9} = \frac{25}{1 + 9} = \frac{25}{10} = \frac{5}{2} \\ [/tex]

We have the final answer as

[tex] \frac{5}{2} \\ [/tex]

Hope this helps you


Related Questions

what value for x makes this equation true? 0.6x-5=0.1x+7​

Answers

I guess it’s It’s already true

Is there a proportional relationship between x and y?
5
10
6
9
2
Cans of Paint (x)
Bird Houses Painted (y)
15
30
18
27
6
Yes, k =2
Yes, k=3
No

Answers

Answer:

Unnnnnnnnnnnnnnnnnnnnnnnnbnbnnnn

Yes K=3 bc
3 times 5 is 15
3 times 10 is 30
3 times 6 is 18
3 times 9 is 27
And 3 times 2 is 6

A DJ is preparing a playlist of 23 songs. How many different ways can the DJ arrange the first four songs on the​ playlist?

Answers

Answer:

Sample Response: The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.

DJ can arrange 88,55 times the first four songs on the playlist.

What is permutation and combination?

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

Given that,

DJ prepares a playlist of 23 songs.

Since, DJ arranges the first four songs on the playlist,

The ways to arrange the song on the playlist,

= [tex]^{23}C_4[/tex]

= 23 ! / (4! x (23 - 4)! )

= 23 ! / (4! x 19!)

= (23 x 22 x 21 x 20 x 19!) / (4 x 3 x 2 x 1  x 19!)

= 23 x 11 x 7 x 5

= 8855

There are 8,855 ways to arrange first 4 songs.

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In other words, which one doesn't belong?
x>-2
3< x
x < 4
5>6
Please help!!

Answers

Answer:

5>6

Step-by-step explanation:

I think the answer is 5>2:)

giving 70 points please help I only have 20 minutes to get It.......​

Answers

Answer: 8

Step-by-step explanation:

The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?

Answers

Answer

25

Step-by-step explanation:

20/32 = 0.625

40 x 0.625 = 25

You can check by doing 25/40 and see if you get the same proportion (x/y)

25 is the correct answer 32/20 is 1.6 and 40/25 is also 1.6

what is greater 0 or 2x-6?​

Answers

Answer:

It's 0

Step-by-step explanation:

0 is a greater number than the answer for 2 times -6, which is -12

a
domain: {0, 2, 4), range: (2,6, 10}
b. domain: {0}, range: {2}
domain: (2, 6, 107, range: {0, 2, 4}
d.
domain: {2}, range: {0}
C.

Answers

Answer:

A

Step-by-step explanation:


You roll two dice. The first dice shows a ONE and the other dice rolls under the table and you cannot see it. Now, what is the probability that both dice show one?

Answers

how many faces does the dice have? I'm gonna assume it had six faces.

Answer:

1/6

Step-by-step explanation:

since the dice has one 1 on it and it cannot be seen

What is the rule of the rotation. Did it rotate clockwise or counterclockwise? How many degrees did it rotate?

Answers

Answer: rotates clockwise.
It rotates two times so i think 180°

23.85 + 7.42 + 16.15

Answers

Answer:

47.42

Step-by-step explanation:

Try solving this way

 23.85

+07.42

+16.16

=======

47.42

Chlorofluorocarbons (CFCs) were used as propellants in spray cans until their buildup in the atmosphere started destroying the ozone, which protects us from ultraviolet rays. Since the 1987 Montreal Protocol (an agreement to curb CFCs), the CFCs in the atmosphere above the US have been reduced from a high of 1915 parts per trillion (ppt) in 2000 to 1640 ppt in 2014.23 The reduction has been approximately linear. Let C(t) be the concentration of CFCs in ppt in year t.
(a) Find C(2000) and C(2014).
(b) Estimate C′(2000) and C′(2014).
(c) Assuming C(t) is linear, find a formula for C(t).
(d) When is C(t) expected to reach 1500 ppt, the level before CFCs were introduced?
(e) If you were told that in the future, C(t) would not be exactly linear, and that C″(t) > 0, would your answer to part (d) be too early or too late?

Answers

Answer:

a) C(2000)=1915

C(2014)=1915

b) [tex]C'(2000)=-\frac{275}{14}[/tex]

[tex]C'(2014)=-\frac{275}{14}[/tex]

c) [tex]C(t)=-\frac{275}{14}t+\frac{288405}{7}[/tex]

d) t=2021

e) too early

Step-by-step explanation:

a)

Since C(t) is the concentration of CFCs in ppt in year t, all we need to do to solve this part is determine what the concentration of CFCs is in years 2000 and 2014. Luckily for us, the problem already gives us those values, so:

C(2000)=1915    concentration in year 2000

C(2014)=1915      concentration in year 2014

b)

By definition, the derivative of a function at a given point is interpreted as the slope of the tangent line to the point of interest, so in order to find this answer, we need to find the slope of the line. Since the problem specifies that the behavior is linear, this means that the slope will always be the same no matter the year, so we get:

[tex]m=C'(t)=\frac{C'(t_{2})-C'(t_{1})}{t_2-t_1}[/tex]

so:

[tex]C'(t)=\frac{1640-1915}{2014-2000}=-\frac{275}{14}\approx -19.64[/tex]

therefore:

[tex]C'(2000)=-\frac{275}{14}[/tex]

[tex]C'(2014)=-\frac{275}{14}[/tex]

c)

Since the behavior is linear, we can calculate it with the point-slope form of the line which is:

[tex]y-y_{1}=m(x-x_{1})[/tex]

in this case:

[tex]C(t)-C(t_1)=C'(t)(t-t_{1})[/tex]

so we get:

[tex]C(t)-1915=-\frac{275}{14}(t-2000)[/tex]

and we can now solve for C(t) so we get:

[tex]C(t)=-\frac{275}{14}t+\frac{275000}{t}+1915[/tex]

for a final answer of:

[tex]C(t)=-\frac{275}{14}t+\frac{288405}{7}[/tex]

d)

So next we solve the equation for C(t)=1500 so we get:

[tex]1500=-\frac{275}{14}t+\frac{288405}{7}[/tex]

[tex]1500-\frac{288405}{7}=-\frac{275}{14}t[/tex]

[tex]-\frac{277905}{7}=-\frac{275}{14}t[/tex]

[tex]t=2021 \frac{7}{55}[/tex]

so we will reach that concentration level at the year 2021 approximately.

e)

Since the second derivative of the concentration function is greater than zero, this means that the original function might be a function in the form: .

This means that the decrease of the concentration levels is slower than that of a linear equation. So the projected date will be too early than the real date.

6 is added to the square of a number

Answers

I assume you want the math statement.

Let n = a number

Let n^2 = the square of a number

Add means to use addition.

Answer: 6 + n^2

Find the value of x.
Pls explain to me I’m lost

Answers

Answer:

idk but i can tell you another site if you still need help,

QUIZLET

Step-by-step explanation:

Answer:

x=17 degrees

Explanation:

Its the same angle as 17 degrees

A customer purchased a lawn mower for a total purchase price of $318.75. If the state has a sales tax rate of 7.75%, what was the selling price of the lawn mower

Answers

Answer:

$343.45

Step-by-step explanation:

$318.75 x 1.0775 = $343.45

or

$318.75 x 0.0775 = $24.70

$318.75 + $24.70 = $343.45

The selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.

What is percentage?

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have a customer purchased a lawn mower for a total purchase price of $318.75.

Sales tax rate = 7.75%

Sales tax amount = 7.75% of $318.75

Sales tax amount = $24.64 ≈ $24.70

Original price = 318.75 + $24.70 = $343.45

Thus, the selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.

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Consider the relationship between the words pine and tree Which answer choice contains a pair of words with the same relationship? A. book: title B. hook: instrument C. badger: animal D. head: scarf​

Answers

Answer:

Maybe it's C.

Step-by-step explanation:

Answer:

ti is  A BOOK TITLE

Step-by-step explanation:

Find the equation of the graphed line.
The answer I put in was incorrect and I’m not sure why

Answers

Answer:

-3x + 2 = y

As the y-intercept is y = 3

And the rise/run = 3/-1

One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to fill the pool if the drain is left open? Express your answer as a reduced fraction.

Answers

Answer:

24 hours

Step-by-step explanation:

Let x represent the time required to fill both pipes if they are left open

1/6 + (-1/8)= 1/x

1/6 - 1/8= 1/x

Divide through by 48

48(1/6) -48(1/8) = 48(1/x)

8 - 6 = 48 x

2= 48/x

2x= 48

x= 48/2

x= 24

Hence it will take 24 hours to fill the pipe if the drain is left open

In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people.
One hundred years later, the yearly attendance was 1.7 × 106 fans.
How many times greater was the attendance in 2002 than in 1902? Enter your answer in the box. helpppppp

Answers

Answer: 1902 had 357 people and 2002 had 180.2 people so, the answer would be  

 

176.8

Step-by-step explanation: i hope  this helps

plz tell me if its wrong so i can fix it

Allison and her classmates planted bean seeds at the same time as Yuki and her classmates in Tokyo did. Allison is video-chatting with Yuki about their class seedlings. Who should expect to have the taller plant at the end of the school year?

Answers

Answer:

probably yuki

Step-by-step explanation:

real fact

Jake, Utah, renting with a friend
Hourly rate: $8.75/hour
Hours worked: 40/40
Commission rate: 2.75%
Sales amount: $7500
Expenses: everything.
Y
CO20

Answers

Answer:

What is the question?

Step-by-step explanation:

I will change my  answer if you put a clear question up...

The quotient of fifty and five more than a number is ten

Answers

Answer:

This number would be straight out zero  .

Step-by-step explanation:

First it said the quotient of fifty and five MORE than a number is 10, so we first need to focus on the line five MORE than a number is 10, so we know this number is less than the value used in the equation then we focus on the quotient of fifty and, So we know this unknown number lets just say the variable for it is n, then we know that fifty/ n+5=10. So Lets use the associative property to turn this into and some algebra to fifty/10 = n+5, so 50/10 equals to 5, so we know that, 5= n+5, so that would be... n =  0. Hope this helps you answer your question! :)

PLEASE HELP THIS IS DUE TODAY!
Justify each step of the solution by stating the property that was used to get to each step.
Given: 4.5(8-x)+36=102-2.5(3x+24)
Step 1: 36-4.5x+36=102-7.5x-60
Step 2: 72-4.5x=42-7.5x
Step 3: 72+3x=42
Step 4: 3x=-30
Step 5: x=-10

Answers

Answer:

_1+5+0+8=65

Step-by-step explanation:

Col-ledge math solution hope you dont get confused

Hope this helps :)

Brainest pls?

Answer:

x= -10

Step-by-step explanation:

simplify 36 - 4.5x + 36 to -4.5x + 72

simplify 102 - 7.5x - 60 to -7.5x + 42

add 7.5x to both sides

simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

simplify 42 - 72 to -30

divide both sides by 3

simplify 30/3 to 10

Answer: x = -10

2.) Your parents drove 300 miles in 6 hours. At what speed (miles per hour) were they driving?

Answers

Answer:

50 mph

Step-by-step explanation:

300 / 6 = 50

you can check this by setting up the equation,

6 x 50 = 300

So with this being said, you can conclude that your parents are driving a 50 miles per hour.

QUICKKKKK Someone plz answer number 2

Answers

Answer:

5 times the sun of 2x and 3y equals the difference of y to the second power and 2x cubed

A dice is rolled twice.
What is the probability of getting a 2 AND a 5?

Answers

There is a 36% chance of probabilty and can i have brainliest answer

PLEASE HELP ME I WILL GIVE BRAINLIEST!!!!!!

Answers

lol it’s me again i think this is right

TEST
1) ERROR ANALYSIS: Identify and correct the error in describing the transformation of the parent
function.

Answers

Sadly the question is incomplete, so we can not see the described transformation of the parent function, thus we can't see the error in that description.

What we can do is describe the transformation shown here.

Here we can see the parent function:

f(x) = x^2

This function opens upwards, so what we see in the graph is this function reflected across the horizontal axis (the x-axis). So the transformation is just a reflection across the x-axis.

(notice that it passes through (-1, -1) and (1, -1), so there is no dilation nor contraction)

For a general function f(x), a reflection across the x-axis is just:

g(x) = -f(x)

So here the transformed function is:

g(x) = - x^2

If you want to learn more, you can read:

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Calculate the Social Security and Medicare tax that would be applied to an annual salary of $235,430. Use $106,800 for
maximum taxable earnings.
a. Social Security tax: $1,459.67, Medicare tax: $341.37
b. Social Security tax: $14,596.66, Medicare tax: $3,413.70
c. Social Security tax: $662.16, Medicare tax: $341.37
d. Social Security tax: $6,621.60, Medicare tax: $3,413.70

Answers

Answer:

D   Social Security tax: $6,621.60, Medicare tax: $3,413.70

Step-by-step explanation:

Following are the calculation to the Social Security and Medicare tax value:

This Social Security tax is a percent to which both workers and employers must pay [tex]6.2\%[/tex] of employee wages, for a total of [tex]12.4\%[/tex].The state pension, which would be applied to a [tex]\$235,430[/tex] annual wage with a maximum tax liability:

         [tex]\to \$106,800\ is\ 12.4\%\ of\ \$106,800 = 0.124 \times \$106,800 = \$13,243.20[/tex]

Its payroll tax for Medicare is [tex]2.9\%[/tex].This only applies to earned income, which includes salaries and tips from an employer. We are liable for [tex]1.45\%[/tex] of a tax, which would be immediately withheld from your paycheck. The other [tex]1.45\%[/tex] is paid by your company. This Medicare tax would be charged to a [tex]\$235,430[/tex] annual salary with a maximum taxable income:

     [tex]\to \$106,800\ is\ 2.9\%\ of\ \$106,800 = 0.029 \times \$106,800 = \$3,097.20[/tex]

Therefore, the final answer is "$13,243.20 and $3,097.20".

Learn more:

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Find the 2nd term in the expansion of (1+3y)5

Answers

Step-by-step explanation:

Using pascal's triangle;

Then second term of the expansion (1+3y)5

is given as:

5(1)^4(3y) = 15y

Answer:

15y

Step-by-step explanation:

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