Graph y=-2x+4 and y=-6x what are the intersections points for x and y

Answers

Answer 1

Answer:

The graph is attached.

The intersection point:  [tex](-1,6)[/tex]

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" is the y-intercept.

 When the line passes through the origin, the equation is:

[tex]y=mx[/tex]

Where "m" is the slope of the line.

Given the following equation of the line in Slope-Intercept form

[tex]y=-2x+4[/tex]

You notice that:

[tex]m=-2\\\\ b=4[/tex]

Knowing the slope and the y-intercept, you can graph it.

The other line is:

[tex]y=-6x[/tex]

As you can identify, this line passes through the origin and its slope is:

[tex]m=-6[/tex]

Then, you can graph it.

Observe the graph attached.

You can identify that the point in which both lines intersect, is:

[tex](-1,6)[/tex]

Graph Y=-2x+4 And Y=-6x What Are The Intersections Points For X And Y

Related Questions

Find
196
O A) 14
OB) 13
OC) 17
OD 15

Answers

It would be 14 if you are trying to find the factors


a. At the beginning of the year, Addison Company’s assets are $300,000 and its equity is $100,000. During the year, assets increase $80,000 and liabilities increase $50,000. What is the equity at year-end?

Answers

Equity at the end of the year = $130,000

Step-by-step explanation:

Step 1:

Given ,

Asset of the company at beginning of year = $300,000

Equity  of the company at beginning of year = $100,000

Increase of the assets  during the year = $80,000

Increase of the liabilities  during the year =  $50,000

We need to find the equity at the year end.

Step 2 :

The equity at any point can be obtained by using the formula

equity = assets - liability

At the beginning of the year ,

100,000 = 300,000 - liability

So liability = 300,000 - 100,000 = 200,000

Step 3 :

During the year, assets increase $80,000 and liabilities increase $50,000

So assets at the year end = 300,000 + 80,000 = $380,000

liabilities at the year end = 200,000 + 50,000 = $250,000

Therefore

Equity at the year end = 380,000 - 250,000 = $130,000

Step 4 :

Answer :

Equity at the year end = $130,000

What is the answer .08(7.97+v)=0.833

Answers

Answer: V=-6.9325 or V=-6.93

Step-by-step explanation:

0.8(7.97+v)=0.833

6.376+0.8v=0.833

-6.379          -6.379

0.8v=-5.546

divide both sides by 0.8 to get v by itself

v=-6.9325

rounded up can get you

v= -6.93

please give brainliest!

A set of ordered pairs is called a _______. A. domain B. function C. range D. relation

Answers

A set of ordered pair is called a relation.

The correct option is D). Relation.

What is relation?

A collection of ordered pairs having one item from each set makes up a relation between two sets.

Any collection of ordered pairs is a relation.

The domain is the collection of all initial components of ordered pairs.

The range is the collection of all second components.

Tables, collections, equations with two variables, and graphs can all be used to depict relations.

And the function is a special type of relation.

Therefore, the blank word is relation.

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Final answer:

A set of ordered pairs is called a relation. Relations include all possible mappings of pairs, while a function is a specific type of relation where each input is paired with only one output. The correct answer is option (D).

Explanation:

A set of ordered pairs is called a relation. For example, if we have two sets A and B represented by ordered pairs, the domain of set A would be the set of all the first elements, and the range of set A would be the set of all the second elements.

It's important to note that a function is a specific type of relation where each element of the domain is associated with a unique element of the range, which means that each input (or argument) is mapped to exactly one output (or value).

Helpppp How do y’all do this

Answers

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

Answer:

x=4

Step-by-step explanation:

8^(x+2)÷2^(x+2)=4⁶

4^(x+2)=4⁶

x+2=6

x=4

Simplify this algebraic expression completely 9x-6(x+4)

Answers

Step-by-step explanation:

9x-6(x+4)

9x-6x-24

3x-24

Answer: 3x-24

Step-by-step explanation:

How do i write the decimal of 214.013 in words?

Answers

two hundred fourteen and thirteen thousandths

Answer: two hundred fourteen and thirteen thousandths

Step-by-step explanation: If you wanted to do this with 214.013, I start with the whole number, which in this case is 214. To write 214 in words, that would be two hundred fourteen. Now, if you add the decimal, you know the first decimal spot is tenths, second is hundredths, and third is thousandths. The decimal would be thirteen thousandths. To add that up, you get two hundred fourteen and thirteen thousandths.

1. Juan paid $2.52 for 12 ounces of peanuts
What is the unit rate?

P.S I’m in 6th grade and I need to know if I got this right please!!

Answers

Answer:

$0.21

Step-by-step explanation:

2.52/12

what is x to the power of two over three in parenthesis to the power of five over two

Answers

Answer:

[tex]x^{\frac{5}{3} }[/tex]

Step-by-step explanation:

You'd multiply the exponents, making the answer = [tex]x^{\frac{2}{3}*\frac{5}{2} }[/tex] = [tex]x^{5/3}[/tex]

In ΔABC, if AB = 14 and BC = 9, AC may be equal to

Answers

Answer:

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Step-by-step explanation:

There is a fact in any triangle:

The length of any side of a triangle must be greater than the difference of the lengths of the other two sides and smaller than the sum of the lengths of the other two sides

If the lengths of the three sides of a triangle are a , b and c, then

a - b < c < a + bb - c < a < b + ca - c < b < a + c

In Δ ABC:

→ (BC) - (AC) < AB < (BC) + (AC)

→ (AB) - (AC) < BC < (AB) + (AC)

→ (AB) - (BC) < AC < (AB) + (BC)

∵ AB = 14 units

∵ BC = 9 units

- Find the sum and difference of them

∵ AB - BC = 14 - 9

∴ AB - BC = 5

∵ AB + BC = 14 + 9

∴ AB + BC = 23

- That means the length of AC could be any integer greater

    than 5 and smaller than 23

5 < AC < 23

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Answer:

Answer = 13

Step-by-step explanation:

What does the x represent?

a.diameter
b. central angle
c. arc

Answers

A because it shows hi wide the circle is⭕️

A 5-foot piece of copper wire costs $24.60. What is the price per inch?

Answers

Answer: 41 cents

Step-by-step explanation:

$24.6/60inches=.41 cents

5*12=60in

41 cents because 5 feet is 60 inches and 60 goes into $24.60 .41 times


Plz help asap!!! Will give brainliest!!!


For a fund raising campaign, a club has a choice of buying products for $20 plus 50% of the sales or $100 plus 25% of the sales. For what level of sales would the club have to pay the same total with either deal

a: $3.20

b: $117

c: $320

d: $480

Answers

Answer:

C $320

Step-by-step explanation:

write equations for the two possible choices

situation 1:

y₁ = 20 + 0.5x, where y is the total price the club pays and x is the sales

** note i use 0.5 instead of 50, since 50 would represent 5000%

y₂ = 100 + 0.25x, where y is the total price the club pays and x is the sales

now set the two equations equal to each other

20 + 0.5x = 100 + 0.25x

isolate x by subtracting 0.25x and 20 from each side

20 + 0.5x - 0.25x - 20 = 100 + 0.25x -0.25x -20

0.25x = 80

divide both sides by 0.25

[tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{80}{0.25}[/tex]

x = 320

Answer is: $320


Explanation: $20 + 50% of $320 in sales =$180 and, $100 + 25% of $320 in sales = $180


3 less than the quotient of a p and 7

A.P/7 - 3
B.7P-3
C.3- 7P
D.3- P/7


plz help! if correct you will get brainly

Answers

Answer:

I think the answer is A. P/7 - 3

Step-by-step explanation:

What number is 0.01 less than 24

Answers

23.99 is the answer unless you want more
23.99 is the answer the question

what is the focus of the parabola
[tex]y = - \frac{1}{4} {x}^{2} - 2x - 2[/tex]
enter your answer in the Box

I've seen so many wrong answers and I got it wrong on my quiz

answer: (-4,1)​

Answers

Answer:

(-4,1)

Step-by-step explanation:

The given parabola is

[tex]y = - \frac{1}{4} {x}^{2} - 2x - 2[/tex]

When we rewrite in vertex form, we get;

[tex]y = - \frac{1}{4} {(x + 4)}^{2} + 2[/tex]

Or

[tex]{(x + 4)}^{2} = - 4( y - 2)[/tex]

When we compare to:

[tex]{(x - h)}^{2} = 4p( y - k)[/tex]

We have 4p=-4

This means p=-1

But the vertex is at:

(-4,2)

Since it is a vertical parabola that opens down, the focus is one unit(|p|=1) below the vertex.

Hence the focus is (-4,1)

Eva is saving money for a trip. She is able to save $52 a week. Her friend from Japan, Ryu,is also saving money. Ryu is able to save 5500 yen(Japanese money) each week. If $4 is equal to about 440 yen, who is saving at a greater rate?

Answers

Answer:

Eva

Step-by-step explanation:

If 4 dollar = 440 yen

Therefore, 1 dollar = (440 ÷ 4) yen

1 dollar = 110 yen

As Eva is saving 52 dollars per week, and Ryu is saving 5,500 yen per week, we have to convert dollar into yen to find who has saved more.

1 dollar = 110 yen

52 dollar = (52 × 110) = 5720 yen

It means Eva is saving 52 dollar which is equivalent to 5,700 yens. It is more than Ryu's saving account.

I need help on these 2 questions. Algebra 1

Answers

Answer:

7. is G

8. f(4)=-120

Step-by-step explanation:

7. les do f(0)=4 since its the easiest

F. f(0)=0.4(0+5)(0-2)

    0.4*-2*5=-4                NOT IT. the ans. is +

G. f(0)=-0.4(0+5)(0-2)

    -0.4*-2*5=4               YESSSSSS

H. f(0)=-0.4(0-5)(0+2)

     -0.4*2*-5=4              YESSSSSS

J. f(0)=0.4(0-5)(0+2)

     0.4*2*-5=-4              NOT ITTTT

so G n H

 Put both equation=0

G. 0=-0.4(x+5)(x-2)

    x=-5,2     YASSSS this is the ans.

what is the area of this star?

Answers

Answer:

9.45cm^2

Step-by-step explanation:

1.5*1.5=2.25

A=BH/2

2.4*1.5/2=1.8

1.8*4=7.2

7.2+2.25=9.45

Answer:

Step-by-step explanation:

2.4 x 1.5/2 to get the area of the triangle

so i would start with 2.4 x 1.5 which is 3.6 and do 3.6/2 which is 1.8 and do

1.8 x 4= 7.2

and the middle part is 1.5 x 1.5 which is 2.25

and do 7.2 plus 2.25 which is 9.45cm

A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%, how much does she have in each account?​

Answers

Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

[tex]x = 3y[/tex]

The total interest is $1,350.

Thus, we can write the equation:

[tex]1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000[/tex]

Solving the two equations by substitution method:

[tex]7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000[/tex]

Thus, she invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

I really need help but I keep getting my question taken down. Please help.

2. Draw a right triangle with side lengths of 3, 4, and 5 units (cm or inches – your choice). Make sure to label all parts including side lengths, vertices, and the right angle. You may insert an actual picture of your drawing below or upload the picture in the Unit 2 TGA submission area.

Answers

Answer:

See the figure attached.

Explanation:

In a right triangle the longest side is the hypotenuse. In this case the length is 5 units.

The hypotenuse is opposite to the right angle.

You must draw a small square inside the right angle. In the figure the right angle is labeled C.

The other two sides are the legs: in this case their lengths are 3units and 4 units.

The side with the shortest length is opposite to the smallest angle; the side with the intermediate length is opposite to the angle with the intermediate measure.

The vertices are marked with capital letters. I used A, B, and C.

With this explanation you can understand the figure attached and build one on your own.

Answer:

My options of triangles

In the diagram, ABC = AWRS. What is the perimeter of
AWRS?
10 units
11 units
12 units
13 units

Answers

There is no diagram, so you should guess C. C is the most likely to be chosen as an answer.

Answer:

the answer is c

Step-by-step explanation:

I just did this

Lashonda bought a suit on sale for $603. This price was 33% less than the original price.

Answers

Answer:

$404.01 dollars

Step-by-step explanation:

603*33%=198.99

600-198.99=$404.01

MARK BRAINLIEST

Answer:

The suit costs $401.01

Step-by-step explanation:

$603.00 x .33 = $198.99

600.00 - 198.99 = 401.01

1. Find the kinetic energy of a ball moving at 45 m/s with a mass of 0.18kg.

Answers

Answer:

182.25 J

Step-by-step explanation:

KE = (0.5)*m*v^2

KE = (0.5)*(0.18 kg)*(45 m/s)^2

KE = 182.25 Joules

Hope this helps!

Final answer:

The kinetic energy of a 0.18 kg ball moving at 45 m/s is calculated using the formula KE = (1/2)mv² and is found to be 182.25 joules.

Explanation:

The kinetic energy (KE) of an object is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. For a ball with a mass of 0.18 kg moving at a velocity of 45 m/s, we can find its kinetic energy by substituting these values into the formula.

KE = (1/2) imes 0.18 kg  imes (45 m/s)²

= 0.09 kg imes 2025 (m/s)²

= 182.25 joules

Therefore, the kinetic energy of the ball is 182.25 joules.

What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12

Answers

The solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]

Explanation:

The system of equations are [tex]4 x+5 y=7[/tex] and [tex]3 x-2 y=-12[/tex]

To determine the solution of the equation, let us solve the equations by elimination method.

Thus, multiplying the equation [tex]4 x+5 y=7[/tex] by 2, we get, [tex]8x+10y=14[/tex]

Multiplying the equation [tex]3 x-2 y=-12[/tex] by 5, we get, [tex]15x-10y=-60[/tex]

Adding these two equations, we have,

[tex]\ \ 8x+10y=14\\15x-10y=-60\\---------\\23x=-46[/tex]

Dividing both sides by 23, we have,

[tex]\frac{23x}{23} =\frac{46}{23}[/tex]

  [tex]x=-2[/tex]

Thus, the value of x is [tex]x=-2[/tex]

Substituting [tex]x=-2[/tex] in the equation [tex]4 x+5 y=7[/tex], we get,

[tex]4 (-2)+5 y=7[/tex]

    [tex]-8+5 y=7[/tex]

             [tex]5y=15[/tex]

               [tex]y=3[/tex]

Thus, the value of y is [tex]y=3[/tex]

Hence, the solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]

The solution to the system of equations, is: (-2, 3).

Solution to System of Equations

To find the solution, you can use the elimination method by first making both equations equivalent. Then add or subtract to eliminate a variable.

Given:

4x + 5y = 7 --> Eqn. 13x – 2y = –12 --> Eqn. 2

Multiply eqn. 1 by 3 and eqn. 2 by 4:

12x + 15y = 21 --> Eqn. 1

12x – 8y = –48 --> Eqn. 2

Subtract:

23y = 69

Divide both sides by 23

y = 3

Substitute y = 3 into eqn. 1.

4x + 5(3) = 7

4x + 15 = 7

4x = 7 - 15

4x = -8

x = -2

Therefore, the solution to the system of equations, is: (-2, 3).

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Vhich graph represents the function f(x) = x2 + 5?

Answers

Answer:

I would say Graph 2 because if its showing f(x)=x2+5

there are no negatives in this equation, so I think it is graph 2

The graph of the function is attached to the solution.

The given equation is f(x) = x²+5, the power on the variable is 2, that means the equation is a quadratic equation therefore, the graph will be a parabola,

Since, there is no negative sign so, the parabola will be opened up,

Also, there are 5 units added in the equation that mean the parabola will be 5 units up from the origin.

So, the graph will be an upward opened parabola with its vertex at (0, 5)

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The price of a bike went down by $150. The new price is $475. Which expression shows the price of the bike before the sale?

Answers

Answer:

475+150=Price before sale

Step-by-step explanation:

Answer:

$475+$150 =$525. 525 is the total price before the sale

What are the solutions to the quadratic equation 3(x – 4)2 = 75?
x= -9 and x = 1
x= -5 and x = 5
x = -4 and x = 4
x= -1 and x = 9

Answers

Answer:

x = -1 and x = 9.

Step-by-step explanation:

3(x – 4)^2 = 75

(x - 4)^2 = 75/3 = 25

Taking square roots of both sides:

x - 4 = +/- 5

x  = -5+4 and  5 + 4

x = -1 and 9.

Answer:

d

Step-by-step explanation:

test

The bus charged $4.50 for a ride plus $1.25 per mile. How many complete miles could Frank travel for $20?

Answers

Answer: Frank could travel about 4 miles

Step-by-step explanation:

Hey There!

The answer you are looking for is;

12 Miles!

Explanation:

First you subtract $4.50 from $20.

= $15.50

Then every mile after that is subtracting $1.25

We can divide $15.50 by $1.25

= 12.4

Since the question is asking how many COMPLETE miles Frank could travel, you do not include the decimal.

= 12 miles.

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(a) How would you characterize the relationship between the hours spent on homework and the test scores (Positive or Negative, Linear or Non-Linear)? Explain.


(b) Paul used the function y= 8x + 40 to model the situation. What score does the model predict for 4 hours of homework?


(c) What does the number 40 in Part (b) mean in the context of the situation?


Please don’t answer if you are guessing. Answer if you really know the answer. And if you don’t understand the three questions, answer the ones you do know.

Answers

Answer:

a) Positive linear

b) 72

c) Marks scored when no time is spend on homework.

Step-by-step explanation:

a) relationship between the hours spent on homework and the test scores

As the time spent on homework increases the test score increases.

Similarly if less time is spent on homework, there would be a decrease in test score.

The two variables are directly related.

Thus, there relationship can be expressed as a positive linear relationship.

b) The model function

[tex]y= 8x + 40[/tex]

where y is the test score and x is the time spent on homework in hours.

Score predicted by model when x = 4

[tex]y(4)= 8(4) + 40 = 32 +40 = 72[/tex]

Thus, model predict that the score on test will be 72 when 4 hours are spent on homework.

c) Interpretation of 40

When x = 0

[tex]y(0)= 8(0) + 40 = 40[/tex]

Interpretation:

Thus, when Paul spends no time on homework that is zero hours are spend on homework, then, Paul will score 40 on test.

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1)Why is a change in polarity useful in welding?2)explain the function of Ae7013 welding rod.3)list and explain 4 factors you need to observe while stick welding to make a good consistent bead.Someone help please ASAP Beth participates in an investigation into possible violations of Title VII of the Civil Rights Act at Chem Works, Inc., where she is an employee. As a result, the employer demotes her. Beth can file:________.a. a disparate-impact discrimination claimb. a retaliation claim.c. a constructive discharge claim.d. none of the choices. An 18-slice pizza was made with only pepperoni and mushroom toppings, and every slice has at least one topping. Exactly ten slices have pepperoni, and exactly ten slices have mushrooms. How many slices have both pepperoni and mushrooms Landon is a senior manager for the firm Anderssen Inc. Because of his experience, he has been appointed to the board of EEC Inc., even though he doesn't work for this firm. He also serves on the boards of several other companies. Landon is a(n) ________ for Anderssen and a(n) ________ for EEC. Have to find out what the angle x is respond ASAP pls What did southern slaveholders think about the abolitionists and members of the free soil party Please Help & Thank YouWhat is the volume of the prism?Enter your answer in the box as a mixed number in simplest form. Sulfonation of benzene has the following mechanism: (1) 2 H2SO4 H3O+ + HSO4 + SO3 [fast] (2) SO3 + C6H6 H(C6H5+)SO3 [slow] (3) H(C6H5+)SO3 + HSO4 C6H5SO3 + H2SO4 [fast] (4) C6H5SO3 + H3O+ C6H5SO3H + H2O How many moles of ammonium sulfate can be from the reaction of 30.0 mol of NH3 with H2SO4 according to the following equation: 2NH3+H2SO4=(NH4)2 SO4 3/122 The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N/m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50N force. Calculate the velocity v of the collar as it passes position B. Albert and Alberta love the University of Florida and want to support the school in every way. They always like to drink Gatorade after they are done working out at the gym. The gym decides not carry Gatorade in their vending machines anymore and switches to Powerade. Albert and Alberta refuse to drink anything but Gatorade so they switch their gym membership to one that carries Gatorade. Albert and Alberta are portraying what component of Brand Equity?A. LoyaltyB. AssociationsC.Product BrandD. AwarenessE.Perceived Quality Frankie buys some stamps. SheSpends 11.70 on 20 p and 50p,stamps. She buys twice as many 20p stamps as 50 stamps.how many 20p stamps did she buy ? Tanya Pierce, President and owner of Florida Now Real Estate is seeking your assistance in designing a database for her business. One of her employees has experience in developing and implementing Access-based systems, but has no experience in conceptual or logical data modeling. So, at this point Tanya only wants you to develop a conceptual data model for her system. You are to use our entity-data diagramming notation - Crows foot symbols.Tanya has some very specific needs for her system. There are several aspects of the business that need to be represented in the data model. Of central interest are properties that are listed or sold by the company. Note that a separate division of Florida Now handles raw land, so your system only has to deal with developed property. For all types of properties, Tanya wants to keep track of the owner (client), the listing and selling dates, the asking and selling prices, the address of the property, the Multiple Listing Service (MLS) number, and any general comments. In addition, the database should store the client that purchases a property. There are some specialized data that need to be stored, depending on the type of property. For single family houses she wants to store the area (for example UCF or Conway), the size of the house in square feet, the number of bedrooms and baths, the size of the garage (for example, 2 car), and the number of stories. For condominiums, the database should track the name of the complex, the unit number, the size in square feet, the number of bedrooms and baths, and the type of community (coop or condo). For commercial properties, she needs to know the zoning, size in square feet, type (industrial, retail, or office), and the general condition of the property.Tanya also wants the database to store information about her real estate agents, such as their name, home address, home phone number, mobile phone number, email address, and their real estate license number. Also, the database should track which agent lists and sells each piece of property. Note that she has a separate system that tracks selling agents and listings from outside brokerages, so you dont have to worry about external agents. However, sometimes a property will be listed and sold by the same Florida Now agent, but other times one Florida Now agent will list a property and another will sell it.Of course, Tanya thinks that it would be good to have the database track information about Florida Nows clients, such as their name, phone number, and street and email addresses. Also, she wants to be able to record comments about the client. Florida Now offers referral fees to clients who refer potential customers to the brokerage. The database should store these referral relationships between clients, including the amount and date of the referral payment. Note that only one client can be paid for a referral. In other words, it is not possible for two clients to be paid for referring the same client.Finally, Tanya wants to be able to use the database to examine the effectiveness of various advertising outlets. For each outlet, the database should store the name of the outlet (for example, realestate.com or the Orlando Sentinel), the main contact person and their phone number. She also wants to know how much it cost to advertise each property on any outlet used, and when a property was advertised on each outlet used for that property. Keep in mind that a property may be advertised on multiple outlets, and that the cost of advertising on an outlet might vary from property to property.Create an entity relationship diagram that captures Tanyas database requirements. The ERD should indicate all entities, attributes, and relationships (including maximum and minimum cardinalities). Also be sure to indicate primary key attributes.You must draw the ERD using computer software such as Visio, PowerPoint or Word. In addition, you must resolve all M:N (many- to-many) relationships and multi-valued attributes. State any assumptions you make. Remember that your assumptions must be reasonable and must not violate any stated requirements. Think through the entities, and attributes for each entity. Why might you only see a rainbow when rain is in front of you Whare Marquis de Lafayette was born Two strains of true-breeding maize that both produce ears of corn with white kernels are crossed and found to produce F1 plants that all make ears of corn with red kernels. 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