After 5 months, the number of subscribers to a newspaper was 5,730. After 7 months, the number of subscribers to the newspaper was 6,022. Which equation models the number of newspaper subscribers y after x months? y = –146x – 5,000 y = 146x + 5,000 y = 146x – 5,000 y = –146x + 5,000

Answers

Answer 1
From the information given in the problem we can create a linear model like this: The [tex]x-axis[/tex] will represent the months and the [tex]y-axis[/tex] the subscribers. From the problem we know that after 5 months, the number of subscribers to a newspaper was 5,730, so [tex] x_{1} =7[/tex] and [tex] y_{1} =5730[/tex]. We also know that after 7 months, the number of subscribers to the newspaper was 6,022, so [tex] x_{2} =7[/tex] and [tex] y_{2} =6022[/tex].
Remember that the slope of a line is [tex]m= \frac{y_{2}-y _{1} }{ x_{2} - x_{1} } [/tex]. since we already found those values, lets replace them to find our slope:
[tex]m= \frac{6022-5730}{7-5} [/tex]
[tex]m= \frac{292}{2} [/tex]
[tex]m=146[/tex]

To create our linear model we are going to use the point-slope equation [tex]y- y _{1} =m(x- x_{1} )[/tex]. Notice that we have all the values, so the only thing left is plug them in our equation: 
[tex]y-6022=146(x-5)[/tex]
[tex]y-5730=146x-730[/tex]
[tex]y=146x-730+5730[/tex]
[tex]y=146x+5000[/tex]

We can conclude that the equation which models the number of newspaper subscribers [tex]y[/tex] after [tex]x[/tex] months is [tex]y=146x+5000[/tex]

Related Questions

ILL CHOOSE BRAINLIEST!!!Which region represents the solution to the given system of inequalities?

A
B
C
D

Answers

The answer is D, because that is the place where the lines intersect.

The solution of a set of inequalities is the place where the lines intersect.

Hope I helped!

Let me know if you need anything else!

~ Zoe

Answer :- D region represents the solution to the given system of inequalities.


Explanation:

In the graph we can see the two lines drawn from the given system are intersecting in the fourth quadrant.

⇒The solution of the system lie in the fourth quadrant.

∴region D represents the solution to the given system of inequalities.

The graph of the linear inequality is the graph of all solutions of the system where the solution of the system of inequalities is the intersection region of the solutions of the two inequalities.

Alexa's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 20^\circ20

20, degree, and traveled a distance of 3.43.43, point, 4 kilometers before she fell in a straight line perpendicular to the ground.
How far from the skydiving center did Alexa land?

Answers

Answer:

3.19495491 rounded to the nearest hundredth is 3.19

Step-by-step explanation:

The distance from the skydiving center did Alexa land will be 3.19 km. The formula of trigonometry is used in the given problem.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

From ΔABC it is obtained that;

[tex]\rm Cos A = \frac{AC}{AB} \\\\ COS 20^0 = \frac{AC}{3.4} \\\\ AC= 0.9694 \times 3.4 \\\\ AC = 3.19 \ km[/tex]

Hence the distance from the skydiving center did Alexa land will be 3.19 km.

To learn more about the trigonometry refer to the link;

https://brainly.com/question/26719838

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What is the answer. Do not need to explain.

Answers

Add 5% of what the balance is every year for four years.

5% of $1200 is $60.
5% of $1260 is $63.
5% of $1323 is $66.15.
5% of $1389.15 is $69.45. So the final balance is $1458.45.
1200(.20)=240
1200+240=1440

Which property can be used to expand the expression -2(3/4x + 7)?

Answers

distributive property
-2(3/4 x + 7)
-3/2 x - 14 <<<<<------- answer.

Warning. don't go any further.

Answer:

C

Step-by-step explanation:

Right in edge2020

A pair of angles can be complementary and supplementary. The answers are sometimes? always? or never true? Justify the answer

Answers

 The complementary angles are those angles whose measures add up to 90 degrees, that is, if two complementary angles are in turn consecutive, the non-common sides of them form a right angle.
 Two angles are supplementary if their sum equals 180 °:
 The supplementary angles are those that added are worth two right angles, that is, 180º.
 answer:
 A pair of angles can be never complementary and supplementary

Find the (real-valued) general solution to the differential equation. z″+8z′=0 z(t)=

Answers

Try this option (see the attached picture).
Final answer:

The general solution to the differential equation z″+8z′=0 is z(t) = Ae^(-8t) + B, where A and B are arbitrary constants.

Explanation:

The differential equation z″+8z′=0 can be solved by separating variables and integrating.

Let v = z′ be the derivative of z.

Then the equation becomes v′+8v=0.

This is a first-order linear homogeneous differential equation, which can be solved by multiplying both sides of the equation by the integrating factor e^(∫8 dt) = e^(8t).

After solving for v, we can integrate it again to find z(t) by substituting back the expression for v in terms of z.

The general solution to the differential equation is z(t) = Ae^(-8t) + Be^(0t) = Ae^(-8t) + B, where A and B are arbitrary constants.

Learn more about Differential equation here:

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If 5^3 b-1=5^b-3, what is the value of b?

Answers

Answer:

wht the girl ontop said

Step-by-step explanation:

fcxccccccccccccxxxxxxxx

What type of transformation is demonstrated in the following figure?

Image by Phoebe Baker

A.
dilation
B.
reflection
C.
rotation
D.
translation

Answers

hello
the answer is d
have a nice day
Answer is d ma boii just copying her answer /
                                                                      /

A piece of wood is 1.75 meter long A carpenter saws off 0.8 meter from it. Then he saws the remaining piece into 2 pieces of equal length. How long is each of the equal pieces?

Answers

1.75-0.8= 0.95m
0.95/2. to get equal halves would be 0.475m just under half a meter

-6x+5-4(x-1)=-4x-(5x-3)+4

Answers

Hello there!

-6x + 5 - 4(x - 1) = -4x - (5x - 3) + 4

We need to use the distributive form

-6x + 5 + (-4)(x) + (-4)(-1) = -4x - 5x + 3 + 4

-6x + 5 - 4x + 4 = -4x - 5x + 3 + 4

-10x + 9 = -9x + 7

Now we can subtract 9 from both sides

-10x + 9 - 9 = -9x + 7 - 9

-10x = -9x - 2

Add 9x to both sides

-10x + 9x = -9x + 9x - 2

-x = -2

We cannot leave it with a negative sign, divide both sides by -1

-x/-1 = -2/-1

x = 2

I hope the steps are clear to understand. If you have any misunderstanding feel free to let me know.

As always, I am here to help!

With two dice, each numbered 1-6, there are two possible ways to roll a 3: thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. how many possible ways are there to roll a 4?

Answers

Microstates for a sum of 3 :  (1,2) and (2,1)
Microstates for a sum of 4:  (1,3),(2,2),(3,1)  so three possible microstates.

dividing fractions (pt. 2)

Answers

A) 2/3 / 1/4 = 2/3 x 4/1 = 8/3 = 2 and 2/3

b) 7 / 2/3 = 7/1 x 3/2 = 21/2 = 10 and 1/2
1. 0.167
2. 1.16666666667

Clark and his brother Kent played floor hockey in their living room. Each goal was worth 2 points. Clark scored 6 points. Kent scored 8 points. How many points did they score all together?

Answers

28 is the answer because multiply 6 times 2 and multiply 8 times 2 you would get 12 and 16 which when u add them it equals 28

10 more points need it fast

Answers

As given in the question above, the formula for the area of a rectangle is Length x Width.
We have our width, 3.75, and our length, 2.33. Multiply these two values.

2.33 x 3.75 = 8.7375. Convert this to a mixed fraction;
8 73/100 is your mixed fraction in simplest form.

I hope this helps.

The total weight of 15 boxes is 45 pounds .how much would 40 boxes weigh

Answers

40 boxes would weigh would weigh 120 pounds
To answer this, we must first assume that each box weighs the same.  If this is true, you would make a rate of how many pounds in 15 boxes: 45 lbs/15 boxes.  From here determine the weight per box by dividing 45 by 15.  This means each box is 3 pounds.  Multiply this by the total number of boxes (3 x 40).  This gives you a total weight of 120 pounds for 40 boxes.

Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats.
When writing constraints for the problem, what is the most reasonable definition for the variables x and y?

A) Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used.

B) Let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made.

C) Let x represent the number of dog bone treats made and y represents the number of cups of flour used.

D) Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.

Answers

D. Let x represent the number of trays of dog bone treats made and y represent number of trays of oatmeal dog treats made.

Answer with explanation:

Number of cups of peanut that Dana has =10 cups

Number of cups of flour that Dana has =12 cups

Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.

Constraints

⇒x>0, y>0

⇒3 x+y ≤10

⇒2 x+4 y ≤ 12

Maximize(Objective Function):

Z=6 x +7 y

⇒⇒ The most reasonable definition for the variables x and y as Dana wants to maximize her income from selling the dog treats

Option D: Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.

You have two summer jobs. At the Burger Palace you earn $8 per hour. At the community center you teach soccer clinics for $10 per hour. You want to earn at least $200 a week. If x is the number of hours you work at Burger Palace and y is the number of hours you work at the community center, which graph shows all the ways you can earn at least $200 a week? A. 2003-09-04-00-00_files/i0160000.jpg B. 2003-09-04-00-00_files/i0160001.jpg C. 2003-09-04-00-00_files/i0160002.jpg D. 2003-09-04-00-00_files/i0160003.jpg Please select the best answer from the choices provided A B C D Mark this and return

Answers

the complete question in the attached figure
 we have that
x-------------> number of hours works at Burger Palace -----> $8
y-------------> number of hours works at community center -----> $10

8x+10y>=200

using a graph tool
see the attached figure

the answer is the option B

Complete the statements below that show y = 8x2 + 32x + 17 being converted to vertex form. Factor out the leading coefficient. y = 8(x2 + 4x) + 17 Write in vertex form.

Answers

y=8(x+2)^2+-15

This answer showed as correct  
for the assignment 

Answer:

4, -32

2, -15

Step-by-step explanation:

Trust me bro.

what's the area of a square picture with 16 inch sides

Answers

To find the area of a square picture with 16 inch sides, we must use the formula for the area of a square: A=s^2, where s represents the value of the side length of the square.  

To solve, we must plug in the given side length of 16 inches into the formula.

A = (16 inches)^2
A= 256 inches^2

Therefore, your answer is 256 inches^2.  

Hope this helps!

Answer:

256

Step-by-step explanation:

Factor the expression 8x3y − 8x2y − 30xy.

Answers

Answer:  Our factorized term will be

2xy(2x+5)(2x-3)

Explanation:

Since we have given that

[tex]8x^3y-8x^2y-30xy[/tex]

All we need to do is to factorise this expression.

Here are the steps given below:

[tex]2xy(4x^2-4x-15)[/tex]

By manipulating the terms, we get:

[tex]2xy[(2x)^2-4x+1-16]\\\\2xy[(2x-1)^2-16]\\\\2xy[(2x-1)^2-(4)^2]\\\\2xy[(2x-1-4)(2x-1+4)]\\\\2xy[(2x-5)(2x+3)][/tex]

Alternatively,

By using splitting the middle terms,

[tex]2xy(4x^2-4x-15)\\\\2xy(4x^2-10x+6x-15)\\\\2xy[2x(2x-5)+3(2x-5)]\\\\2xy(2x-3)(2x+5)[/tex]

Hence, our factorized term will be

2xy(2x+5)(2x-3)

Ally bought a mattress and 4 pillows. The mattress cost $769
more than the 4 pillows. She gave the cashier $1300 and
received $51 change.
How much did each pillow cost?

Answers

each pillow costs $120

Answer:

Cost of each pillow is $120.

Step-by-step explanation:

Let P denotes cost of each pillow and M denotes cost of mattress.

Then, given cost of mattress is $769

also, Ally gave the cashier $1300 and received $51 change.

Total amount Ally paid = total amount she gave - total amount she receives back.

                                     = $( 1300 - 51 )

                                     = $1249

Since, Ally brought one mattress and 4 pillow . Thus, Total cost is given as,

⇒ M + 4 P = 1249

⇒ 769 + 4 P = 1249

⇒ 4 P = 1249 - 769

⇒ 4 P = 480

⇒ P = 120

Thus, cost of each pillow is $120.




a baker used 4 cups of flour to make 5 batches of brownie. How many cups of flour does the baker need to make 1 batch of brownies

heeelp
please I will mark the brainliest, please help and show your work

Answers

hello

the asnwer is 6.4 ounces of flour per batch U have to add the batches and brownies then divide

Have  a nice day
6.4 ounces. you have to divide the batches of brownies by the cups of flour

Have you ever thought about the number of times your heart beats in a life time? Consider the average life span of 75 years and the average heart beat of 1.2 heartbeats per second. Estimate, using scientific notation, the number of times your heart will beat in your lifetime.

Answers

Final answer:

The average human heart beats approximately 108,000 times in one day, 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. In a lifetime, your heart will beat an estimated 2.925 x 10^9 times.

Explanation:

The average human heart beats approximately 108,000 times in one day, 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. To estimate the number of times your heart will beat in your lifetime, we can multiply the number of heartbeats in one year by the average life span:



39 million heartbeats/year x 75 years = 2.925 billion heartbeats in a lifetime



In scientific notation, this can be expressed as 2.925 x 10^9 heartbeats.

Final answer:

The average heart beats approximately 3 billion times during a 75-year lifespan.

Explanation:

The average heart beats approximately 108,000 times in one day, more than 39 million times in one year, and nearly 3 billion times during a 75-year lifespan. To estimate the number of times your heart will beat in your lifetime, you multiply the average heartbeats per year by the number of years in your lifespan.

For example, if we assume an average lifespan of 75 years, we can estimate the number of heartbeats in a lifetime:

39,000,000 heartbeats/year x 75 years = 2,925,000,000 heartbeats in a lifetime (2.9 x 10^9)

B= [2 8 .6 3 ] A= 3 0 2 -1]
what is BA ?

Answers

The product of matrices[tex]\(B\) and \(A\) is \([12 \, 24 \, 4 \, -2]\).[/tex]

To find the product (BA), we multiply each row of (B) by each column of (A) and sum the products.

Let's calculate the elements of the resulting matrix (BA):

  a. First row, first column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  b. First row, second column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  c. First row, third column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  d. First row, fourth column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

Therefore, the first row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]

Similarly, for the second row of (BA):

  a. Second row, first column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  b. Second row, second column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  c. Second row, third column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  d. Second row, fourth column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

Therefore, the second row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]

Hence, the product [tex]\(BA\) is \([12 \, 24 \, 4 \, -2]\).[/tex]

3c-d=t solve for d

I'm confused on this

Answers

d= 3c-t

Hope this helps ;)
To solve for d simplify both sides of the equation then isolate the variable
d=3c-t

The dining room table in Logan’s dollhouse is a replica of the dining room table in the actual house . The replica is 4 7/8 in. Long how long is the table in the actual house

Answers

To find the length of the actual table, multiply the replica's length by the scale factor:
4 7/8 x 1/16 = ___ ↓
39/8 x 1/16 = 39/128.

Hope this helps,
A.W.E.S.W.A.N.

Answer:

6ft 6 in

Step-by-step explanation:

Write a proportion that uses the scale factor 1/16. The numerator corresponds to the dollhouse, and the denominator corresponds to the actual house. So 4 7/8 goes in the numerator, and the variable goes in the denominator.

1/16=478xx=16⋅478x=78

There are 12 in. in a foot, so 78 in. equals 6 ft 6 in.

!!!!!30 POINTS!!! HELP ME ON THESE GEOMETRY QUESTIONS PLEASE! PLEASE SHOW WORK AND EXPLAIN

Answers

1. Corresponding angles are equal.
.. a) ∠H = ∠B
Corresponding sides have the same relationship.
.. b) GH/DJ = AB/DC

2. Segments of the same line are proportional, so
.. FG/(47 m) = (73.8 m)/(82 m)
.. FG = (47 m)*(73.8/82) = 42.3 m
The distance between the two campsites is 42.3 m.

3. Corresponding sides are proportional.
.. (x -3)/8 = 2.5/2
.. x -3 = 8*(2.5/2) = 10
.. x = 13

4. Expand the fractions and subtract 1.
.. (x +3)/3 = (y +2)/2
.. x/3 +3/3 = y/2 +2/2
.. x/3 = y/2

5. Solved elsewhere.
https://brainly.com/question/8861591

identity the pair of numbers that does not belong with the other three. explain.

Answers

3/5 and 5

In the first pair, the only numbers are 9 and 6. Converting 4 into a fraction leaves us with 4/1 - the only numbers in that pair are 1 and 4. In the final one, the only numbers are 2 and 7.
However, converting 5 gives 5/1. What this means is that the top and bottom numbers are not flipped in this pair, making it the odd one out. 

Hope I helped!
3/5 and 5 is the pair that doesn't belong
The other pairs are made of reciprocal numbers .
9/6*6/9=1
4*1/4=4/1*1/4=1
2/7*7/2=1

but 3/5*5/1=3, not 1.

What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.

The area of the figure is ? cm2.

A. 102
B. 132
C. 168
D. 340

SOMEONE PLEASE HELP ASAP!!

Answers

First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so [tex]A_{r} =lw[/tex]. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:
[tex]A _{r} =(13cm)(6cm)[/tex]
[tex]A=78cm^{2} [/tex]
Similarly, the area of a triangle is one half times base times height, so [tex]At=( \frac{1}{2})bh [/tex]. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
[tex]A_{t} =( \frac{1}{2})(8cm)(6cm) [/tex]
[tex]A_{t} =24cm^{2} [/tex]

Now the only thing left is add our areas:
 [tex]A_{total} =78cm^{2}+24cm^{2} =102cm^{2} [/tex]

We can conclude that the correct answer is A. 102

Find (19 x 10*5) -(5 x 10 *4)

Answers

(19 x10*5) is 950
(5 x 10*4) is 200
soo 950 - 200 = 750

Answer:d


Step-by-step explanation:


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Which of the following statements about mountain ranges in the United States and Canada is false?A.The Piedmont region is the fall line between the Appalachian Mountains and the east coast of the US.B.The Sierra Nevada Mountains and the Cascades both follow the Pacific Coast.C.The Rocky Mountains are east of the Appalachian Mountains.D.The highest peaks in the Rocky Mountains are over 14,000 feet high.Please select the best answer from the choices provided. promineces may be seen in the sun's ___ Which conclusion regarding mercantilism is MOST LIKELY accurate? A) Mercantilism promoted the accumulation of gold and silver by governments. B) Mercantilism encouraged free trade between colonies and other countries. C) Mercantilist countries encouraged political freedom for colonies. D) Mercantilist policies favored negative trade balances what is the plot line for the Book Thief? "If you'll mow the lawn," said Laurie, "I'll bag the leaves." This is an ability of a plasma membrane to allow some substances to cross across the membrane more easily than others. By using words like dangerous suicidal and misguided what type of reasoning is the author using Which two characteristics of data always occur together? Theo bought two hot dogs and two sodas for $4.00. At the same concession stand, Vicky bought three hot dogs and a soda for $4.50. What is the price of a hot dog at the concession stand? match the phrase with the correct term: cells in the muscles? guyys .... please this is really urgent.....................short definition for sea breeze and land breeze.......10 points what is the fifference between [-3] and -3 PLEASE HELP!The location of the dot is _____.Latitude/Longitude30 N/60 W30 N/60 E60 N/30 W60 N/60 E Which of the following reasons will complete the proof?SASASASSS Joo-Eun wants to draw a triangle with sides measuring 6 mm, 8 mm, and 11 mm. Which is true about Joo-Euns plan? is our Little Pony a complete sentence what is the factorization of 49b^2 - 81 ? A - (7b-9)(7b-9)B - (7b-9(b2^+9)C - (7b2^-9)(7b2^-9)D - (7b2^-9)(7b2^+9) What is the probability of flipping a coin six times in a row and getting three heads and three tails? can someone please help me asap !!! Which sentence uses a transitive verb? A.The purple blanket was unraveling at the seam. B. Emily trimmed her bangs this morning. C. The plastic melted from the heat. D.Leo jumped over the fence.