. A farmer with 2000 meters of fencing wants to enclose a rectangular plot that orders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
16
16. A farmer with 2000 meters of fencing wants to enclose a rectangular plot that orders on a
straight highway. If the farmer does not fence the side along the highway, what is the largest
area that can be enclosed?
17. Find the inverse of f (x) = (x + 2)2 -6 for x 2-2. Include a domain restriction if
appropriate.
18. Find the domain and range of g(x) = log2(x +3).
19. Find the domain and range of f (x) = 2e+1
20. Is the function f (x) = 2x-4x even, odd or neither?
21. If (-4,5) is located on the graph of f and g(x) = 3f (2x) - 1, what point is guaranteed to be
on the graph of g(x)?
22. Let f (x) = vx - 3. Find a formla forf-(x) with the appropriate domain restriction for
f-(x).
23. The population of a bacteria culture is modeled by the formula P = 2000e0.05t where t is
measured in days. How many days will it take before the population reaches 1,000,000? Give
your answer in exact form and approximated to the nearest day.
24. Rewrite this system of equations as an augmented matrix.
x -2y+3zD
4
7.
2x+ y +z =
-3x+2y-2z=-10
Augmented Matrix:
Transcribed Image Text:16. A farmer with 2000 meters of fencing wants to enclose a rectangular plot that orders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed? 17. Find the inverse of f (x) = (x + 2)2 -6 for x 2-2. Include a domain restriction if appropriate. 18. Find the domain and range of g(x) = log2(x +3). 19. Find the domain and range of f (x) = 2e+1 20. Is the function f (x) = 2x-4x even, odd or neither? 21. If (-4,5) is located on the graph of f and g(x) = 3f (2x) - 1, what point is guaranteed to be on the graph of g(x)? 22. Let f (x) = vx - 3. Find a formla forf-(x) with the appropriate domain restriction for f-(x). 23. The population of a bacteria culture is modeled by the formula P = 2000e0.05t where t is measured in days. How many days will it take before the population reaches 1,000,000? Give your answer in exact form and approximated to the nearest day. 24. Rewrite this system of equations as an augmented matrix. x -2y+3zD 4 7. 2x+ y +z = -3x+2y-2z=-10 Augmented Matrix:
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education