Homework Help is Here – Start Your Trial Now!
Math
Algebra
12. A rectangular piece of cardboard, 40 inches long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determine x if the volume of the box is 1,000 in.?. 40 in. 22 in. L. nos-

12. A rectangular piece of cardboard, 40 inches long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determine x if the volume of the box is 1,000 in.?. 40 in. 22 in. L. nos-

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
See similar textbooks
icon
Related questions
Question
12. A rectangular piece of cardboard, 40 inches long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determine x if the volume of the box is 40 in. 22 in. 1,000 in.?. (d) Determine the value of x that corresponds to the box with the largest pos- sible volume, and determine that volume. W.
Transcribed Image Text:12. A rectangular piece of cardboard, 40 inches long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determine x if the volume of the box is 40 in. 22 in. 1,000 in.?. (d) Determine the value of x that corresponds to the box with the largest pos- sible volume, and determine that volume. W.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS