Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and
potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your
knowledge of polynomials, perimeter and area to solve the following questions.
1. Write a polynomial expression that represents the area of the potato field.
2. Simplify a polynomial expression that represents the area of the potato field.
3. Explain why the calculated area would be useful to Farmer Bob.
Answers
The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.
Area of the potato field = length * width
Length = x^2 + 7x + 12
Width = x + 6
Substitute into the formula to get the required polynomial
Area of the potato field = (x^2 + 7x + 12)(x+6)
Area of the potato field = x^3+6x^2+7x^2+42x+12x+72
Area of the potato field = x^3 + 13x^2 + 54x + 72
Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
Learn more on polynomial expression here: https://brainly.com/question/21534285
Related Questions
From a group of students, 28 students like rice, 23 students like dumplings, 16 students like both and 11 students do not like rice nor dumplings. How many students were interviewed?
Answers
78
Step-by-step explanation:
23+28+16+11=78
people who was interested in the restaurant
write an equation in standard form of the line that passes through (7, -3) and has a y intercept of 2
Answers
Answer:
Step-by-step explanation:
I would start with the form
y = mx + b
and then convert to standard form. Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2 ⇒ m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
5x + 7y = 14 (standard form)
The equation in standard form of the line is 5x + 7y = 14
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, a line is passing through (7, -3) and has a y intercept of 2
The general equation of a line is y = mx + b
Using the given point and the given y-intercept, find the slope from
-3 = 7m + 2
m = -5/7
y = (-5/7)x + 2
7y = - 5x + 14
Converting into standard form;
5x + 7y = 14
Hence, the equation in standard form of the line is 5x + 7y = 14
For more references on equations, click;
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write 28 + 24 as a product of two factors using the greatest common factor and the distributive property
Answers
Answer:
4 * 13
Step-by-step explanation:
Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.
Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?
Answers
Usando un sistema de ecuaciones, se encuentra que:
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Para el sistema, considera-se que:
x es el peso de una caja grande.y is el peso de una caja pequeña.Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:
[tex]3x + 5y = 112[/tex]
Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:
[tex]6x + 2y = 118[/tex]
Simplificando por 2 :
[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]
Reemplazando en la primera ecuación:
[tex]3x + 5y = 112[/tex]
[tex]3x + 5(59 - 3x) = 112[/tex]
[tex]3x + 295 - 15x = 112[/tex]
[tex]12x = 183[/tex]
[tex]x = \frac{183}{12}[/tex]
[tex]x = 15.25[/tex]
[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Un problema similar es dado en https://brainly.com/question/24646137
What is 52 divided by 2? please help meeeee
A. 16 B. 26 C. 27 D. 36
Answers
Answer:
D. 26
Step-by-step explanation:
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╲┃╯┃┗┻┻┛┗┻┻┻┻╮╲
╲┃◯┃╭╮╰╯┏━━━┳╯╲
╲┃╭┃╰┏┳┳┳┳┓◯┃╲╲
Brainliest?
A sampling approach in which everyone in the population has an equal chance of being selected for participation is termed _____ sampling.
Answers
Answer:
Random Sample
Random Sample: Each member of the entire population has an equal chance of being selected. Simple Random Sample: You can select groups of size n from the entire population, and every possible group has the same chance of being selected.
Step-by-step explanation:
y = -3x + 5
y = 7 + 3(x - 2)
y = 2(x - 1) - 4
y = x - 6
determine if they represent a linear or nonlinear function.
Answers
Answer:
linear
Step-by-step explanation:
5-(-5) please i need a answer ASAP
Answers
Answer:
10.
Step-by-step explanation:
If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.
Hey there!
GUIDE:
2 negatives = positive
2 positives = positive
1 negative & 1 positive = negative
1 positive & 1 negative = negative
Negatives are BELOW 0 and they are to the LEFT of 0
Positives are ABOVE 0 and they are to the RIGHT of 0
ANSWERING the QUESTION
5 - (-5)
= 5 + 5
= 10
Therefore, your answer is: 10
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
1/8+3/4= ______________
Answers
Answer:
7/8
you need a common denominator so multiply 3/4 by 2 to get 6/8 so now to have a common denominator then just add 1/8+6/8
Answer:
The answer is 7/8.
Step-by-step explanation:
First convert the 3/4 into eighths to get a common denominator. This will add everything together easier. Since 3/4 = 6/8, that means 1/8 + 6/8 = 1/8 + 3/4. The answer is 7/8. You can't simplify the answer any further.
3. Given: DE is a midsegment of AABC. Show all work.
a. Find the value of x and y.
b. What is the length of AC?
Answers
Answer:
x = 10
y = 1
DE = 7
AC = 14
Step-by-step explanation:
x + 2 = 24/2
x = 12 - 2
x = 10
y + 6 = x - 3
y = 10 - 3 - 6
y = 1
I actually don’t understand this can someone please help?
Answers
Answer:
It's proportional when you have a straight line that goes through the origin, meaning (0,0), meaning x = 0 and y = 0, meaning: when x = 0, then y has to be = 0 too! That's obviously not the case here. You can see that the line hit the y axis way above 0. So this graph is not directly proportional to x.
Step-by-step explanation:
AYOOOO HELP!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Value of x= `
4x+5y-6z =2
x= (2-5y+6z) divided by 4
For example : if x is 2.5
2.5 = 2 - 5x2 + 6x3
Solve for x
9(x + 5) = -9
Answers
Answer:
x = -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
9(x+5)=−9
(9)(x)+(9)(5)=−9(Distribute)
Step 2: Subtract 45 from both sides.
Step 3: Divide both sides by 9.
Hello there! :)
9(x+5)=-9
Use the Distributive Property:
9(x+5)=-9
9x+45=-9
9x=-9-45
9x=-54
Divide both sides by 9:
x=-6
Hope it helps you! :) Feel free to ask me if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
At Abdul’s Swimwear, 85% of the 60 swimsuit styles are bikinis. How many bikini styles are there?
Answers
because if u find 85% of 60 it’s 51
What is the slope of this graph?
Answers
Answer:
-3
Step-by-step explanation:
1. To find the slope of this line, we can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] since we're given the two points from the line.
2. (Solving)
[tex]\frac{0-6}{3-1}[/tex] [tex]\frac{-6}{2}[/tex] [tex]-3[/tex]Therefore, the slope is -3.
ted
Explain how to find each missing digit.
Display each 0-9 tile exactly once.
If you have a partner, take turns.
Answers
Answer:
What is a partner
Step-by-step explanation:
What is 9% as a fraction or mixed number in simplest form?
Answers
Answer:
9/100
Step-by-step explanation:
9×100 = 9/100 I think
jamie made 40 cupcake she frosted 1/2 of the cupcakes . of th frosted cupcake she put sprinkies on 1/5 of them , she ate 1/4 of the frosted cupcakes that had sprinkle
Answers
Explanation:
40 • 1/2= 20
20 • 1/5 = 4
1/4 • 4 = 1
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Please help x
Answers
Answer:
SteThe difference between climate change mitigation strategies and climate change adaptation is that mitigation is aimed at tackling the causes and minimising the possible impacts of climate change, whereas adaptation looks at how to reduce the negative effects it has and how to take advantage of any opportunities thap-by-step explanation:
Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -
Answers
Given info:- X = √(4-√7) and Y = √(4+√7)
Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?
Explanation:-
Given that:
X = √(4-√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ X = √[2{(4-√7)}/2]
⇛ X =√[(8-2√7)/2]
⇛ X =√[{(7+1)-2√7{/2]
⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]
It is in the form of a²-2ab+b²
Where , a = √7 and b = √1
⇛X = √[{(√7-√1)}²/2] [∵(a-b)² = a²-2ab+b²]
⇛ X = (√7-√1)/√2
⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)
and
Y = √(4+√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ Y = √[{2(4+√7)}/2]
⇛ Y =√[(8+2√7)/2]
⇛ Y =√[{(7+1)+2√7}/2]
⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]
It is in the form of a²+2ab+b²
Where , a = √7 and b = √1
⇛Y = √[{(√7+√1)}²/2] [∵(a+b)² = a²+2ab+b²]
⇛ Y = (√7+√1)/√2
⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)
On adding Eqⁿ (1) & Eqⁿ(2)
→ X+Y = (√7-1)/√2+(√7+1)/√2
→ X+Y = (√7-1+√7+1)/√2
→ X+Y = (2√7 )/√2
→ X+Y = (√2×√2×√7)/√2
→ X+Y = √2×√7
→ X+Y = √14 — — — — Eqⁿ(3)
On Subtracting Eqⁿ(2) from Eqⁿ(1)
→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]
→ X-Y =[ (√7-1 )-(√7+1)]/√2
→ X-Y = (√7-1-√7-1)/√2
→ X-Y = (-1-1)/√2
→ X-Y = -2/√2
→ X-Y = -(√2×√2)/√2
→ X-Y = -√2 — — — — Eqⁿ(4)
On multiplying Eqⁿ(1)& Eqⁿ(2)
→ XY = [(√7-1)/√2][(√7+1)/√2]
→ XY = (√7-1)×(√7+1)/(√2×√2)
→ XY = [(√7)²-(1)²]/(2) [∵(a+b)(a-b) = a²-b²]
→ XY = (7-1)/2
→ XY = 6/2
→ XY = 3 — — — — — Eqⁿ(5)
Now,
The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²
It can be written as
⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²
From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)
⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²
⇛ (2/3) + (9×14)+(14)
⇛ (2/3)+(126)+(14)
⇛ (2/3)+140
⇛ [2+(3×140)]/3
⇛(2+420)/3
⇛ 422/3
Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.
If you have any doubt, then you can ask me in the comments.
Select the correct answer.
If you roll a fair die twice, what is the probability of getting an even number at least once?
A.
0.75
B.
0.36
C.
0.5
D.
0.25
Answers
Answer:
A
Step-by-step explanation:
Got this right on edmentum
g(x) = 3x + 1, evaluate g(-2).
Answers
Answer:
-5
Step-by-step explanation:
g(x)= 3x+1
g(-2)
g(-2)= 3x+1
g(-2)= 3(-2)+1= -5
What is the slope of the graph?
Answers
Hope you get this
No Mistakes
At the end of which day does Tyler have 2750 feet left to climb?
Answers
ang Find any three rational numbers between 2 and 3
Answers
Answer:
5/2, 9/4 and 19/7.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not = 0).
Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?
Answers
Answer:
5/6
Step-by-step explanation:
3 hours= 2 1/2 miles
1 hour= 2 1/2 divided by 3
It would take him 5/6 of an hour
Hop this helps!
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.50 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answers
Explanation;
Find 20% of $78.50
If 20%=$15.70
Add both values;
$94.20
1+1
This is pretty easy I know
Answers
Answer: 2
Step-by-step explanation: i dont even need to explain
Answer:
2
Step-by-step explanation:
one apple plus one apple gives you two apples :)
Can some one please help me please
Answers
Answer:
j(10) (÷} =÷9
so let's check 89÷9= 9
Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in a year? A: $360 b: $300 C: $30 D: $36
Answers
Answer:
d - $36
Step-by-step explanation:
I=Prt
(interest=principle*rate*time in years)
I=1200*.03*1
I=1200*.03
I=36