1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BartSMP [9]
3 years ago
11

If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (mea

sured in square feet) as a function of the width of the side of the field w (measured in feet). What is the maximum area possible?
Mathematics
1 answer:
hoa [83]3 years ago
8 0

Answer:

Maximum area possible

f(max)  = 3906,25 ft²

Dimensions:

a  = 62,5  ft

w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

You might be interested in
You are writing the inequality for age. At an amusement park, children ages 3 and under are free. Write an inequality.
atroni [7]

Answer:

Step-by-step explanation:

So you would do x as other ages, 3 as well obviously 3.

x < 3

THE < WILL HAVE A LINE UNDER IT!

The line stands for less than or EQUAL to. In this case, you have to be 3 or younger. Do not forget the line under the <. I am unable to type it!

3 0
3 years ago
Ugh help please i need assistance no one will help me.
lidiya [134]
B. You will have to divide the lengths by 6 to get the answer
8 0
3 years ago
Read 2 more answers
Find the value of x.<br> 66°<br> 42°
Nataly_w [17]

Answer:

you got this don't forget about dream

6 0
2 years ago
7x+6&gt;or equal to -(x-6)
WINSTONCH [101]

Answer:

x≥ 0

Step-by-step explanation:

7x+6 ≥ -(x-6)

Distribute the minus sign

7x+6 ≥ -x+6

Add x to each side

7x+x+6 ≥ -x+x+6

8x+6 ≥ 6

Subtract 6 from each side

8x+6-6 ≥ 6

8x≥ 0

Divide by 8

8x/8≥ 0/8

x≥ 0

3 0
2 years ago
Is 70 thousand written in a standar for or word form .explain
Kay [80]

Answer:

true

Step-by-step explanation:

because its 70 thousand

3 0
3 years ago
Other questions:
  • Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends a
    6·1 answer
  • Tricia drove 102 miles on three gallons of gas. How far can she drive on seven gallons of gas?
    9·1 answer
  • A vendor sells fifteen sweatshirts for $15 each, thirty t-shirts for $10 each, and forty hats for $8 each. What is the average p
    11·1 answer
  • A riding lawnmower can drive up a 27º incline. in order for a ramp designed to reach a truck bed that is 3 feet above the ground
    9·1 answer
  • Can some one help me with theses and explain how u got the answers and u have to zoom in to see it
    9·1 answer
  • Gets brainilist!!!!!!!what is the absoulute value of -4.5 and what is the absoulute value of 1
    5·2 answers
  • A top fuel dragster can use a s much as 6 gallons in 4seconds to travelmile. At this rate, how many gallonsof fuel will it take
    6·1 answer
  • Can I get help ASAP
    10·1 answer
  • What is the remainder when f(x) = 2x4 + x3 – 8x – 1 is divided by x - 2?
    6·1 answer
  • To prepare for virtual learning the school is purchasing extra keyboards, mice, and PC cameras. They have a budget of $1500 to s
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!