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
umka2103 [35]
3 years ago
15

Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of

the length, L, of one of its sides. A = 8L−L2 Correct: Your answer is correct. m2 State the domain of A. (Assume the length of the rectangle is longer than its width. Enter your answer in interval notation.) How do i get the domain
Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0
Part A:

Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.

Let the length of the other side be x, then

2(L+x)=16 \\  \\ \Rightarrow L+x=8 \\  \\ \Rightarrow x=8-L

Thus, if the length of one of the side is x, the length of the other side is 8 - L.

Hence, the area of the rectangle in terms of L is given by

L(8 - L) = 8L-L^2



Part B:

To find the domain of A

Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.

Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.

Hence the domain of the area are the set of values between 0 and 8 not inclusive.

Therefore,

dom(Area)=0\ \textless \ L\ \textless \ 8 \ or \ (0, 8)
You might be interested in
A phase modulator produces a maximum phase shift of 45 degrees. The modulation frequency range is 300 to 4000 Hz. What is the ma
sergejj [24]

Answer:

Maximum frequency deviation is 2616.29509 Hz

Maximum frequency deviation=(4000-3000)cos45

Max frequency deviation=2616.29509 Hz

8 0
3 years ago
What is the value of p2 + r3, when p = 2 & r = 3?​
Lilit [14]

answer is 13

I hope it helpful

7 0
3 years ago
Read 2 more answers
|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3
Licemer1 [7]

Answer:

5

Step-by-step explanation:

|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3

= a + b - c + d

= 5 + 4 - 1 + (-3)

= 5 + 4 - 1 - 3

= 5 + 4 - 4

= <em><u>5</u></em>

4 0
3 years ago
in a class of 35 students 26 play football and play 20 long tennis, if 17 play above, many play neither.
Artyom0805 [142]
I hope this helps you

4 0
3 years ago
Find the missing term in the following sequence <br><br> -115.2, -109.9, -104.6, -99.3, -94
ohaa [14]

The next term is -88.7

7 0
3 years ago
Other questions:
  • List the partial products of 42 x 28
    10·2 answers
  • Solve the equation -1/3m-7=5
    14·1 answer
  • 2 less than the square of a number.
    12·1 answer
  • Which of the following angles is not coterminal with the other three?. A. 591° . B. 231° . C. 51°
    5·2 answers
  • Which quadratic equation would be used to solve for the unknown dimensions?
    11·2 answers
  • Mr. Singleton wants to buy a new television. The regular price is $999. The store is offering a 25% discount and a sales tax of
    14·1 answer
  • I need some help with this
    6·1 answer
  • Find the average rate of change of the function <br> f(x)=(1/x-7) <br> as x changes from x=-2 to x=5
    6·1 answer
  • I NEED HELP ASAP! PLEASEEE I WILL GIVE YOU EVERYTHING AND GOOD REVIEWS!!
    15·1 answer
  • A department store buys 200 shirts at a cost of ​$1,400 and sells them at a selling price of ​$10 each. Find the percent markup.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!