A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and folding up the sides. Let x represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). a. Write a formula that expresses V in terms of x. V = x(7-2x)(9-2x) Preview b. Suppose the function f determines the volume of the box (in cubic inches) given a cutout length (in inches). Write a function formula for f. f(x) = x(7-2x)(9-2x) Preview x(7 – 2x)(9 – 2x) syntax ok c. What is the domain of f? Enter your answer as an interval. Hint. (0,3.5) Preview d. What is the range of f? Enter your answer as an interval. Hint. (0,4.5) Preview Answer: (7 – 2æ)(9 – 2x)(x) Answer: (7 – 2æ)(9 – 2x)(x) Answer: [0, 3.5] or (0, 3.5) Answer: 0, 36.6081] or (0, 36.6081) |
A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and folding up the sides. Let x represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). a. Write a formula that expresses V in terms of x. V = x(7-2x)(9-2x) Preview b. Suppose the function f determines the volume of the box (in cubic inches) given a cutout length (in inches). Write a function formula for f. f(x) = x(7-2x)(9-2x) Preview x(7 – 2x)(9 – 2x) syntax ok c. What is the domain of f? Enter your answer as an interval. Hint. (0,3.5) Preview d. What is the range of f? Enter your answer as an interval. Hint. (0,4.5) Preview Answer: (7 – 2æ)(9 – 2x)(x) Answer: (7 – 2æ)(9 – 2x)(x) Answer: [0, 3.5] or (0, 3.5) Answer: 0, 36.6081] or (0, 36.6081) |
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.10: Problems Without Solutions
Problem 12P
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill