A rectangular schoolyard is to be fenced in using the wall of the school for one side and 500 meters of fencing for the other three sides. The area in square meters of the schoolyard is a function of the length in meters of each of the sides perpendicular to the school wall.



A. Write an expression for A(x) using NO SPACES.


B. What is the area of the schoolyard when x = 100 ?


C. What is a reasonable domain for x in this context?

Answers

Answer 1

Answer:

StPart 1) The expression is  

Part 2) The area of the schoolyard when x=40 m is A=2,800 m^2

Part 3) The domain is all real numbers greater than zero and less than 75 meters

Step-by-step explanation:

Part 1) Write an expression for A(x)

Let

x -----> the length of the rectangular schoolyard

y ---> the width of the rectangular schoolyard

we know that

The perimeter of the fencing (using the wall of the school for one side) is

so

-----> equation A

The area of the rectangular schoolyard is

---> equation B

substitute equation A in equation B

Convert to function notation

Part 2) What is the area of the schoolyard when x=40?

For x=40 m

substitute in the expression of Part 1) and solve for A

Part 3) What is a reasonable domain for A(x) in this context

we know that

A represent the area of the rectangular schoolyard

x represent the length of of the rectangular schoolyard

we have

This is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the length for the maximum area

The y-coordinate of the vertex represent the maximum area

The vertex is the point (37.5, 2812.5)

using a graphing tool, see the attached figure

therefore

The maximum area is 2,812.5 m^2

The x-intercepts are x=0 m and x=75 m

The domain for A is the interval -----> (0, 75)

All real numbers greater than zero and less than 75 meters

ep-by-step explanation:


Related Questions

What is the y-intercept of the line shown below? Enter your answer as a coordinate pair.

Answers

Answer:

The x intercept is (-2,0)

the y intercept is (0,4)

Please no links will mark brainiest for compleat answer.
question is in pic below

Answers

Answer:

[tex]16x^{10}[/tex]

Step-by-step explanation:

Area of a square = [tex]s^{2}[/tex]

[tex]s=4x^{5}[/tex]

[tex]s^{2} =(4x^{5} )^{2}[/tex]

[tex]s^{2} =16x^{10}[/tex]

please help me someone

Answers

That’s the answer
Just like this

express 23/15-7/10 as a percentage​

Answers

Answer:

83.3%

Step-by-step explanation:

1/5d=-3 help I'm confused

Answers

Answer:

d=-15

Step-by-step explanation:

1/5d= -3

d= -3×5

d= -15

Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot. ^_^

It costs 4.99 for 2lbs of bacon and 6.99 for 5lbs of bacon.which is a better buy?

Answers

The 5lbs. $6.99 divided by 5 is 1.40 aprox. and $4.99 divided by 2 is 2.40. for one pound.

Answer:

The 5lbs is a better buy

Step-by-step explanation:

Find the price per pound:

4.99/2= $2.49

6.99/5= $1.39

What can divided 62 and 30

Answers

62- 1,2, 31,62
30-1,2,5,6,10,15,30

A group of students left school at 8:00 am on a field trip to a science museum 90 miles away. Which best the average speed of the bus if they arrived at 10:00

Answers

Answer:

45 mph

Step-by-step explanation:

90 / 2 = 45 mph

Can someone pls help me out

Answers

>> Answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

This is Question no picture, soo iam work in question before^^

Step by step :

x² = 12² + 10²

x² = 144 + 100

x² = 244

x = 15,6m

Distribute: -6(3x – 4) a-18x + 10 b-18x + 24 c-18x - 4 c-18x - 24​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The DISTRIBUTIVE PROPERTY formula is}\downarrow\\\large\textsf{a(b + c)}\\\large\textsf{= a(b) + a(c)}\\\large\textsf{= ab + ac}[/tex]

[tex]\large\text{Now that we have the formula, we can solve for your question/answer.}[/tex]

[tex]\large\text{YOUR EQUATION: \underline{\underline{\textsf{-6(3x - 4)}}}}}\\\\\large\textsf{= -6(3x) - 6(-4)}\\\large\textsf{= -6(3x) + 6(4)}\\\large\textsf{= -18x + 24}\\\huge\boxed{\rm{Therefore, your\ answer\ is: \mathsf{-18x + 24}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Write the equation of the line in slope-intercept form that passes through the given points.
(-1, 8) and (5,-2)

Answers

Answer:

y = -5/3x + 19/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 8 / 5 - (-1)

-10/6

= -5/3

y = -5/3x + b

8 = -5/3(-1) + b

8 = 5/3 + b

19/3

Mr. Reyes broke his bicycle. He asked Renato to fix it. Renato charged 350 php for the
new parts of the bicycle and 150 php per hour for labor to repair the bicycle. If Renato
spent 4 hours repairing Mr. Reyes’ bike, what is the total amount he needs to pay?

a. What is asked?
b. What are the given numbers?
c. What are the operations needed?
d. Write the number sentence.
e. Solve. Show your solution.​

Answers

Answer:

950 php

Step-by-step explanation:

a. What is asked?

Find the total amount for repair of the bike.

b. What are the given numbers?

350 php for parts and 150 php per hour for labor. Total 4 hours repair duration.

c. What are the operations needed?

Multiplication and addition

d. Write the number sentence.

Find the labor charge by multiplying the rate by the number of hours and add to the cost of parts.  

e. Solve. Show your solution.​

350 + 150*4 = 350 + 600= 950 php

Help me pls and thx and have a nice day

Answers

Answer: the answer should be the last one

Step-by-step explanation:

Caroline wears a suit to work everyday. Caroline has 6 suits, 3 overcoats, and 4 pairs of shoes. How many different outfits can Caroline create? *

Answers

Caroline needs 1 suit, 1 overcoat, and 1 pair of shoes for an outfit. To find the number of different outfits, we can multiply the number of options for each group. 6 x 3 x 4 = 72 outfit options.

We can also think about it logically. For each suit, they have 3 different coats to wear. For each suit and coat combination, they have 4 different pairs of shoes to wear. So for each suit, there are 3 x 4 = 12 coat/shoe combinations. Since there are 6 different suits, they have 6 x 12 = 72 options.

80°
50°
Зc +2°
C=.

Can i get a step by step or a video on this?

Answers

Answer:

C= 19.333333(Its infinite)

20 < 5 (F – 32) < -15
solve the compound inequalities

Answers

Answer:

no solution

Step-by-step explanation:

20 < 5(F - 32) < -15

-15 can never be greater than 20, thus the answer is no solution

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?theses are the answers you chose froma: correct ratiob:7:8c: 5;8d: 8:7

Answers

Answer:

No, Emma is not correct.

Step-by-step explanation:

because if we put 35 and 42 in rational form we can write it to its simple form by dividing it

35 / 7 = 5

42 / 7 = 6

after dividing we get the answer as 5:6.

Hope it helps ☺️

A number that multiplies a variable in a term is a_____.

A. factor
B. coefficient
C. term
D. variable

Answers

Answer:

coefficient

Step-by-step explanation:

Answer: Answer:

Step-by-step explanation:

please answer, it’s a test

Answers

Answer:

A

Step-by-step explanation:

The inverse of 2x would be 1/2 x and the inverse of +6 would be -6.

Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.



If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours? If you get stuck, you can use the table to help. what is this????????? Write an equation that gives the amount of snow that has fallen after x hours at this rate.



Complete the equation below



y = _______________



Use x as your variable.

Answers

Answer:

I think y = 13 inches of snow

8+7+5+7+9



Mathematics middle school


Answers

Answer:

36

Step-by-step explanation:

hope this helps

8+7+5+7+9

15+5+7+9

20+7+9

27+9

36

= 8+7+5+7+9

= 15+5+7+9

= 20+7+9

= 27+9

= 36

The answer is 36.

Can someone help me with 8-grade math homework, please

Answers

Answer:

so y=7.25x+9.99 where y is the total money they spend, and the x is the total number of they want to bought jersey which is 20,

So here it's equation:

y=7.25(20)+9.99

y= 145+9.99

y=154.99, therefore the total is 154.99

and the second one is find and explain the mistake

the y values is the mistake when you equate the number of x to the equation given so the true answer of that table if you use the equation is:

X Y

2 0

3 -2

4 -4

5 -6

factor [tex]x^{2} + 2x[/tex]

Answers

Answer:

the answer is x(x+2)

HELPPPP PLEASEEEE!!!!

Answers

Answer:

B

Step-by-step explanation:

C I think sorry if it may be wrong ☹️

what the slope of a line

Answers

Answer:

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

Hope it helps.

Someone please help me! Will mark brainliest!

Answers

Answer:

F

(

x

)

=

x

2

3

x

+

C

Step-by-step explanation:

5x + 8 + 3x + 4 = -40 +4

Answers

Answer:

x=-6

Step-by-step explanation:

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]5x+8+3x+4=-40+4[/tex]

⇒ Subtract 4 from both sides:

[tex]5x+8+3x+4-4=-40+4-4[/tex]

[tex]5x+8+3x=-40[/tex]

⇒ Combine like terms:

[tex]5x+3x=8x[/tex]

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

⇒ Subtract 8 from both sides:

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

[tex]8x=-48[/tex]

⇒ Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{-48}{8}[/tex]

[tex]x=-6[/tex]

________________________

HELP ME ASAP!!!!!!

See pic attached

Answers

Step-by-step explanation:

a ) 9 × 2 = 18 18 + 3 = 21

o/p = 21

b) 17 - 3 = 14 14/2 = 7

i/p = 7

hope this answer helps you dear!

3) if the cost of 1 pen is Rs.10, find the cost of 5 pen​

Answers

Answer: 5 pens cost Rs.50

Explanation: Since 1 pen costs Rs.10, you will need to multiply the number of pens (1) and the cost of that number of pens (Rs.10) by the amount of pens you must find the cost for (5). Since 10 times 5 is 50, that means that 50 is the cost of 5 pens.

I hope this helps!

Solve for x.

9(x + 1) = 25 + x

x = 2
x = 3
x = 4
x = 5

Answers

Answer:

x = 2

Give me the brainlest, please?

Step-by-step explanation:

Answer:  x=2

Step-by-step explanation:

9(x+1)=25+x   (Distribute the 9)

9x+9=25+x     (Work both sides to isolate the variable)

-9        -9

9x=16+x

-x       -x

8x=16

/8   /8

x=2

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