A metalworker wants to make an open box from a sheet of metal, by cutting equal squares from each corner as shown. Complete parts (a) through (c) below. 6 in. -18 in. b. Use your expression from part (a) to write a function for the volume of the box. (Hint: Write the function in factored form.) V = x(6-2x)(18-2x) c. Graph the function. Then find the maximum volume of the box and the side length of the cut-out squares that generates this volume. Choose the correct graph below. All windows are [-25,25,5] by [-1000,1000,100]. O A. O B. OD. The maximum volume is approximately (Round to one decimal place as needed.) in.3 and is generated when x= in.
A metalworker wants to make an open box from a sheet of metal, by cutting equal squares from each corner as shown. Complete parts (a) through (c) below. 6 in. -18 in. b. Use your expression from part (a) to write a function for the volume of the box. (Hint: Write the function in factored form.) V = x(6-2x)(18-2x) c. Graph the function. Then find the maximum volume of the box and the side length of the cut-out squares that generates this volume. Choose the correct graph below. All windows are [-25,25,5] by [-1000,1000,100]. O A. O B. OD. The maximum volume is approximately (Round to one decimal place as needed.) in.3 and is generated when x= in.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter15: Roots
Section: Chapter Questions
Problem 38A
Related questions
Question
The maximum volume is approximately_______in.^3 and is generated when x=___in.
![A metalworker wants to make an open box from a sheet of metal, by cutting
equal squares from each corner as shown. Complete parts (a) through (c) below.
6 in.
-18 in.
b. Use your expression from part (a) to write a function for the volume of the box. (Hint: Write the function in factored form.)
V = x(6- 2x)(18-2x)
c. Graph the function. Then find the maximum volume of the box and the side length of the cut-out squares that generates this volume. Choose the correct graph
below. All windows are [-25,25,5] by [– 1000,1000,100].
OA.
OB.
OD.
The maximum volume is approximately
(Round to one decimal place as needed.)
in.3 and is generated when x=
in.
O d 回
o 回](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff60bdea1-35bb-444d-a09a-1c9afe7422c4%2Fe0843255-49cf-47ac-b63d-5c106b0b30e0%2Fruvphm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A metalworker wants to make an open box from a sheet of metal, by cutting
equal squares from each corner as shown. Complete parts (a) through (c) below.
6 in.
-18 in.
b. Use your expression from part (a) to write a function for the volume of the box. (Hint: Write the function in factored form.)
V = x(6- 2x)(18-2x)
c. Graph the function. Then find the maximum volume of the box and the side length of the cut-out squares that generates this volume. Choose the correct graph
below. All windows are [-25,25,5] by [– 1000,1000,100].
OA.
OB.
OD.
The maximum volume is approximately
(Round to one decimal place as needed.)
in.3 and is generated when x=
in.
O d 回
o 回
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 5 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
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
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
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
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt