MODELING WITH MATHEMATICS A farmer plants a garden that contains corn and pumpkins. The total area (in square
feet) of the garden is modeled by the expression 2x2 + 5x + 4. The area of the corn is modeled by the expression
x2 – 3x + 2. Write an equation in standard form that models the area A of the pumpkins.

Answers

Answer 1

Answer:

The equation in standard form that models area of pumpkins is:

[tex]A_p = A_G - A_c[/tex]

and the area is: [tex]x^2+8x+2[/tex]

Step-by-step explanation:

Given that the garden has corn and pumpkins

The expressions are:

Total area of garden: [tex]A_G = 2x^2+5x+4[/tex]

Area of Corn: [tex]A_c = x^2-3x+2[/tex]

Area of Pumpkins: [tex]A_p = ?[/tex]

The sum of areas of corn and pumpkins is the total area of the garden.

It can be expressed mathematically as:

[tex]A_G = A_c+A_p[/tex]

If we have to find the area of pumpkins,

[tex]A_p = A_G - A_c[/tex]

Putting the values

[tex]A_p = (2x^2+5x+4) - (x^2-3x+2)\\A_p = 2x^2+5x+4-x^2+3x-2\\A_p = 2x^2-x^2+5x+3x+4-2\\A_p = x^2+8x+2[/tex]

The equation in standard form that models area of pumpkins is:

[tex]A_p = A_G - A_c[/tex]

and the area is: [tex]x^2+8x+2[/tex]

Answer 2

The equation in standard form that models the area A of the pumpkins is x² + 8x + 2

From the question, we are given the following parameters

Area of the garden = 2x² + 5x + 4

Area of the corn = x² – 3x + 2

To get the area A of the pumpkin, we will take the difference in the areas as shown:

A = Area of garden - Area of corn

A = (2x² + 5x + 4) - (x² – 3x + 2)

A = 2x² - x² + 5x + 3x + 4 - 2

A = x² + 8x + 2

Hence the equation in standard form that models the area A of the pumpkins is x² + 8x + 2

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Related Questions

Write an equation for the line shown on the graph below.

A: y= 10x

B: y= -10

C: y= 50x

D: y= -50x

Answers

It’s A. Because you’ll get 50/5 and when u divide it’s 10x

help meeeeeee!!!!!!!!!!!!!!!!!!!!!

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Read this I have you some hint that should help you a bit don’t mode the writing lol

Lean runs five laps around a track in 6 miles how many minutes per lap is that

Answers

Answer:

1.2

Step-by-step explanation:

divide 6 by 5

Answer:

8/1 or 8 minutes per lap

Step-by-step explanation:

The blue dot is at what value on the number line? Pls help??

Answers

Answer:

4

Step-by-step explanation:

help me with this problem please ​

Answers

i think its all of the above ?? sorry if its wrong

Write an equation in slope-intercept form for a line that passes through the point (4,-8) and is parallel to the line y=-3x+7

Answers

Answer:

[tex]y=-3x+4[/tex]

Step-by-step explanation:

Percentage Questions

Answers

Answer:

At the end of three months, you will owe £767

Step-by-step explanation:

First you find 7% of 1000

= 70

70 is added to the £1000 every month so

1070 - 150 = 920

990 - 150 = 840

917 - 150 = 767

What is 31.5% as a fraction (please help me with this one)

Answers

Answer:

63/2

Step-by-step explanation:

Answer:

63/200

Step-by-step explanation:

the question is on then sheet ​

Answers

Answer:

6[tex]m^{2}[/tex][tex]n^{2}[/tex]-4mn+6

Step-by-step explanation:

PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!!

[tex] = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)[/tex]

[tex] = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17[/tex]

[tex] = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)[/tex]

[tex] = 6 {m}^{2} {n}^{2} + 8mn - 28[/tex]

The other person is wrong

I can say that for sure.

89 brainly points for this!

The phrase miles per hour is an example of a rate of change. What other rates of change commonly used in everyday speech can you think of?

Answers

Answer:

kph - Kilo meters per hour, Mps - Minutes per second

Step-by-step explanation:

i hope this helps you out!

Answer:

-Kilometers per hour

-Price per person

-Annual cost of living increases

Step-by-step explanation:

Find the
total price of the item.
football: $18.33
tax: 6%
What is the total price of the item if the original price is $18.33 with the tax of 6%

Answers

Answer:

the total price will be 19.43


1. Dilate A using P as the center of dilation and a scale factor of 3. Label the new point
A'.
2. Dilate Busing Pas the center of dilation and a scale factor of 2. Label the new point B'

Answers

Answer:

Step-by-step explanation:

Rule for the dilation of a point by a scale factor 'k',

(x, y) → (kx, ky)

If we impose this rule in this problem,

k = [tex]\frac{\text{Distance of A' from P}}{\text{Distance of A from P}}[/tex]

1). If k = 3

   Therefore, Distance of A' from P = 3(Distance of A from P)

   And point A' will be on the third circle.

2). If k = 2

   Distance of B' from P = 2(Distance of B from P)

   Since, B is on circle 2, B' will be on circle 4.

Now we can plot these points A' and B' on the graph.

After the dilation point A becomes A' and it is at a distance of 3 units from point P and after the dilation point B becomes B' and it is at a distance of 2 units from point P.

1)

Given :

Dilate A using P as the center of dilation and a scale factor of 3.

Let the coordinates of point A be (x,y) then after dilation point A becomes A'(3x , 3y). So, the distance of the point A' from the point P is 3 units

2)

Given :

Dilate Busing P as the center of dilation and a scale factor of 2.

Let the coordinates of point B be (x',y') then after dilation point B becomes B'(2x' , 2y'). So, the distance of the point B' from the point P is 2 units

For more information, refer to the link given below:

https://brainly.com/question/2856466

When I bought my car it was $25,000. My car’s value is now $11,000. What percentage is my car now from its original price?

Answers

Answer:

56% should be the answer

Need help ASAP!!!!!!!

Answers

1. (X+2)
2. X+2
4. X = -2 √6 and x= 2 √6

What is the value of y in the solution for this system of equations? 2x – 3y = 13 1 7. y = 5x - 2​

Answers

The value of y in the solution for this system of equations is -61/13.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x – 3y = 13 and y = 5x - 2​

Solving the Two Equation we get

2x - 3(5x -2) = 13

2x - 15x + 6 = 13

-13x = 13 -6

-13x = 7

x= -7/13

and, y= 5(-7/13)- 2

y = -35/13- 2

y = -61/13

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

Answer:

Its B on EDG 2023

Step-by-step explanation:

edg 2023

Naomi surveyed 480 of the students in her school about their favorite color. 95% said their favorite color was red. How many students favorite color was red?

Answers

Answer:

77

Step-by-step explanation:

88e3838383883

2) The coordinates of the vertices of quadrilateral ABCD are A(-1,8),
B(0,4), C(-2,1), and D(-4,3). Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD after a rotation of 180° about the origin. State the
coordinates of the vertices of A'B'C'D'.

Answers

Answer:

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

Step-by-step explanation:

When a point (h,k) is roated 180 degrees about the origin it becomes (-h,-k) which means that the new point after rotation is the negative of the previous.

Given vertices are:

A(-1,8),  B(0,4), C(-2,1), and D(-4,3)

The new vertices will be:

[tex]A(-1,8) => A'(1,-8)\\B(0,4)=> B'(0,-4)\\C(-2,1)=> C'(2,-1)\\D(-4,3)=> D'(4,-3)[/tex]

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

What does the notation

Answers

Answer:

the process or method of noting or setting down by means of a special system of signs or symbols. the act of noting, marking, or setting down in writing. a note, jotting, or record; annotation: notations in the margin.

Identify the equation that has the same slope as the points (-1, 11) and (2, -10) .

a. y = -4x - 3

b. y = 3x + 3

c. y = x + 1

d. y = -7x + 4

Answers

Answer: for.-7x+4

Step-by-step explanation:

Formula for slope: m=y2-y1/x2-x1

Plug it in: (-10-11)/(2--1) = -21/3 = -7

M= -7

Y=mx+b

Y=-7x+b

11=-7(-1)+b

11=7+b

-7 -7

Y=-7x+4

I hope you can understand the explanation.....

-2(x+4)=12
please explain what to do .​

Answers

Answer:

x = -10

Step-by-step explanation:

First I would expand by distributing the left side.

Using distribution the new equation would be: -2x - 8 = 12

Now, I would move constants to one side and keep variables on the other side.

Doing this, my new equation would be -2x = 20

Now I would divide both sides by negative 2, giving the answer x = -10

Answer: -10

Step-by-step explanation:

1/3 divided by 2/5 help me plss

Answers

Answer:

5/6

Step-by-step explanation:

dividing means you gotta flip it to multiplication.

1 times 5 = 5

3 times 2 = 6

find the area of a circle with a radius of two either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal .​

Answers

Answer:

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

I believe it would be 2 x 3.14= 6.28

( I said 2 because, isn't that the radius of the circle)

Step-by-step explanation:

evaluate the function: F(x)=-3+7 when x=6
(20pts)I NEED ANSWERS ASAP PLEASEE

Answers

Answer:

f ( 6 ) = 11  

Explanation:We want to plug in  6  for wherever we see x in the original function.

f

(

6

)

=

3

(

6

)

7

f

(

6

)

=

18

7

f

(

6

)

=

11

Step-by-step explanation:

Need help!
Hey does anybody mind helping me with this question? It’s in the picture also tysm if u answer I will mark u Brainly back!!! Have a great day everyone

Answers

Answer:

8/11

Step-by-step explanation:

Answer:

2 2/3+3 2/3

2+3 + 2/3+2/3

5 + 4/3

5 + 1 1/3

6 1/3

The third one is your answer, also thank you. I hope you have a great day as well.

The pair figures are similar.find the missing side

Answers

Answer:

C. x=3

Step-by-step explanation:

Because the sides are proportionate to each other

Side 3 is 3x the length of Side 1

Therefore,

Side 9 is also 3x the length of side X

3x=9

Divide both by 3

and X will be 3.

HELP PLS GUY. 15 POINTS
Its due by midnight

Answers

Answer:

9^8

Step-by-step explanation:

you multiply the exponents

PLEASE HELP

write the equation and solve

Answers

Answer:

min 5 max 11

Step-by-step explanation:

aloud to go up or down 3

find min and max

8-3=5

8+3=5

HELP PLEASE!!!!!!!
When the Duchess estimated it, she estimated 6190. Then the Countess estimated it and got 5320. How much greater was the Duchess estimate??

Answers

Answer:

870

Step-by-step explanation:

6190-5320=870

Answer:

870 (or 900)

Step-by-step explanation:

If you estimate you round:

6190- 6200

5320- 5300

6200- 5300= 900

Or you could do simple subtraction...

6190- 5320= 870

which function has a restricted domain

Answers

Answer:

Restricted Domain. The use of a domain for a function that is smaller than the function's domain of definition. Note: Restricted domains are commonly used to specify a one-to-one section of a function.

Step-by-step explanation:

GOT U bro

HELP A MEEEE whats 1Million x 1Million

Answers

Answer:

one trillion

Step-by-step explanation:

Other Questions
HELPPPPPPPppppppppppppppppppp Please help Express both quantities in each comparisonusing the same units. Write the comparisonas a ratio in fraction form. Then write anequivalent ratio using whole numbers.a) 85 to $1.20 b) 24 kg to 80 g Why is the Dead Sea so salty and full of minerals? 1/3 divided by 2/5 help me plss The pair figures are similar.find the missing side QUICKRead the passage from "The Dream."The day of the contest came and Amina was all nerves. One girl played a technically perfect and clear version of "America, the Beautiful." She said that the nature in America was beautiful and inspiring, and thats why she felt patriotic. Another played "Taps" with amazing speed and said that life in America was fast-paced and inspiring.Amina played the national anthem, but she mixed in a Nigerian rhythm that her father had taught her as a little girl. She said that patriotism to her meant loving where you are no matter where you're from.The author uses the descriptive details in the passage tocreate a simile.support the theme.create a metaphor.support the setting. Complete with the best present tense form ar verbs yo=o tu=as el,ella,usted =A nosotros, nosotras= amos vosotros, vosotras= ais ellos,ellas,ustedes = an reflexive pronouns me=nos te=os se=se HELP PLS GUY. 15 POINTSIts due by midnight What does the notation STAY SAFE EVERYONE 89 brainly points for this!The phrase miles per hour is an example of a rate of change. What other rates of change commonly used in everyday speech can you think of? In the Short Story "The Necklace" by Guy De Maupassant is about a young woman who fantasizes about wealth, status, and luxury. She is unhappy with her life and wishes she married a man of a greater class than the husband she already has. When she is allowed to appear to the world as if she is of a higher class she is then given a beautiful necklace by her friend who appears to have more than her. She gets carried away during that night and when it is finally time for her to end her marvelous night the necklace is nowhere to be found. She then spends 10 long years paying back for the lost necklace but is told that the necklace was fake all along. The lesson that was to be learned was that Be satisfied and grateful for the things you have rather than striving for things that may appear better but often are also deprived of happiness themselves. Madame Loisel wasnt grateful for the things that she had and continued to strive for things out of reach, through all this she did not open her eyes to see that not everyone was doing as well as she thought, which eventually led to a long period of despair. According to the text Oh, my poor Mathilde! Why, my necklace was paste. It was worth at most five hundred francs!. Her rich friend allowed her to borrow a necklace of diamonds, little did she know that the whole time the necklace was fake. She prejudged her friend and didn't get to know her therefore karma came back to bite her. She prejudged her friend and didn't get to know her therefore karma came back to bite her. If she had eaten her pride, jealousy, and judgment then she would have had the strength to confront her, but for ten long years, she paid way over for something that had no value at all. In Conclusion, I believe that because Madame Loisel constantly strived to move up in the social class, she did not notice that some of her friends that might have appeared to be richer and have nice things just appreciate what they have. And because of this, she ended up wasting a large portion of her life on something pointless. In the story, Madame Loisel explains how she does not want to ask her friend for things because it makes her feel low compared to her. However, when given all the franks saved up by her husband it was simply not enough for her. His best efforts were not good enough which forced her to cowardly confront her friend to borrow some jewels in her possession. Even when her friend offered many different necklaces to her she was still not satisfied and chose the one that looked the most expensive which in the end because of her prejudgment she spent 10 long years paying her back. In the end, because Madame Loisel constantly strived to move up the social class and in doing so when she finally got the chance it didn't end up as a happily ever after. Through this event, we can learn that in life you have to be grateful for everything you can have and achieve. Please help!Need answer fast! Unit Test Review Active 1 2 3 Which best describes a model of ? five wholes divided into 12 equal pieces twelve wholes divided into 5 equal pieces a whole divided into 5 equal pieces with 12 pieces shaded in O a whole divided into 5 equal pieces and another whole divided i -4x+7. x= -1 (show work) Whats hamlets plan A) kill Claudius in his sleep B) flee to France C) join with Norway in their attack on Claudius army D) pretend to be crazy What is the difference between bone and cartilage? Give examples of each. HELP PLEASE!!!!!!!When the Duchess estimated it, she estimated 6190. Then the Countess estimated it and got 5320. How much greater was the Duchess estimate?? 2) The coordinates of the vertices of quadrilateral ABCD are A(-1,8),B(0,4), C(-2,1), and D(-4,3). Quadrilateral A'B'C'D' is the image ofquadrilateral ABCD after a rotation of 180 about the origin. State thecoordinates of the vertices of A'B'C'D'. Write an equation for the line shown on the graph below.A: y= 10xB: y= -10C: y= 50xD: y= -50x