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
Tanzania [10]
2 years ago
14

Mr. Jones' other friend Ms. O'Neill has "x" meters of fencing, what is the maximum area in square meters she can have?

Mathematics
1 answer:
Alexus [3.1K]2 years ago
8 0

Answer:

Max\ Area = \frac{x^2}{16}

Step-by-step explanation:

Given

P = x ---- the perimeter of fencing

Required

The maximum area

Let

L \to Length

W \to Width

So, we have:

P = 2(L + W)

This gives:

2(L + W) = x

Divide by 2

L + W = \frac{x}{2}

Make L the subject

L = \frac{x}{2} - W

The area (A) of the fence is:

A = L * W

Substitute L = \frac{x}{2} - W

A = (\frac{x}{2} - W) * W

Open bracket

A = \frac{x}{2}W - W^2

Differentiate with respect to W

A' = \frac{x}{2} - 2W

Set to 0

\frac{x}{2} - 2W = 0

Solve for 2W

2W = \frac{x}{2}

Solve for W

W = \frac{x}{4}

Recall that:

L = \frac{x}{2} - W

L = \frac{x}{2} - \frac{x}{4}

L = \frac{2x- x}{4}

L = \frac{x}{4}

So, the maximum area is:

A = L * W

A = \frac{x}{4}*\frac{x}{4}

Max\ Area = \frac{x^2}{16}

You might be interested in
Seven subtracted from the product of 5 and a number is at least 24
Dovator [93]

Answer:

5a-7=24

5a=24+7

a=31/5

Step-by-step explanation:

8 0
2 years ago
12/15=x/10 solve for x
Alexandra [31]

Answer: x=8

Step-by-step explanation:

This is a simple cross multiplication problem:

12/15=x/10

=> 15x=120

=> x=8

There is your answer.

Have a nice day! :)

7 0
2 years ago
Read 2 more answers
Which of these is an exponential parent function?  A. f(x) = 2^x – 3  B. f(x) = 2^x + 2  C. f(x) = 2^x  D. f(x) = 2^x + 1/3
anygoal [31]

An exponential parent function is the option C. f(x)= 2^{x}, from the given options.

What do you mean by exponential parent function?

The formula for their parent function is y = b^{x}, where b is any non zero constant. Below is a graph of the parent function, y = e^{x}, which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.

According to options in the given question,

We have the option below in the given question:

A. f(x) = 2^x – 3 

B. f(x) = 2^x + 2 

C. f(x) = 2^x 

D. f(x) = 2^x + 1/3

We know from the above definition that the option C. is the right answer to the given question.

Therefore, the exponential parent function is f(x)= 2^{x}.

To learn more about exponential parent function, visit:

brainly.com/question/24210615?referrer=searchResults

#SPJ1

4 0
11 months ago
If there is 1/6 of a cake and mitchell only wants 3/12 of it, how much of the cake does he want?
Debora [2.8K]
Are there choices to choose from?
5 0
3 years ago
Read 2 more answers
F=-GMn/D^2 solve for M
notka56 [123]
M=FD^2/(-Gn) 
here is the solution 

5 0
3 years ago
Other questions:
  • What is the determinant of an identity matrix?
    9·2 answers
  • The segment image is drawn from F(2, 9) to H(10, 1) with point G on the segment. What coordinates for point G will divide image
    13·1 answer
  • What is the equation of log x 729=3?
    7·1 answer
  • The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwisestate
    15·1 answer
  • 1. Two angles are supplements. The larger is 10 more than 4 times the smaller. Find both angles,
    6·1 answer
  • How do you use numerical expressions to solve real-world problems?
    14·2 answers
  • A number, one-fourth of that number, and one-third of that number are added. The result is 38. What is the original number?​
    5·1 answer
  • What is angle 1 im marking brailiest
    8·2 answers
  • What is 2 1/2 times 16
    11·1 answer
  • Can someone help me please
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!