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.
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,...
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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
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