A box is formed by cutting squares from the four corners of a 11"-wide by 13"-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 Vrepresent the volume of the box (in cubic inches).a. Write a formula that expresses V in terms of x.VPreviewb. If the cutout length increases from 0.7 to 2.6 inches, what is the change inthe box's volume? (You may use your graphing calculator.)cubic inchesPreviewc. If the cutout length increases from 2.6 to 4.7 inches, what is the change inthe box's volume?cubic inchesPreview A farmer has 70 meters of fencing to use to enclose a rectangular garden that has one side against a barn.Let I represent the length of the rectangular garden (in meters) and let A represent the area of the rectangular garden(in square meters).a. Write a formula that expresses A in terms of l.A =Previewb. What is the maximum area of the garden? (It may help to use a graphing calculator.)square metersPreviewc. What is the length and width of the garden that produces the maximum area?o Length:metersPreviewo Width:metersPreviewd. If the farmer instead had 280 meters of fencing to enclose the garden, what garden-length and garden-width willproduce a garden with the maximum area?o Length:metersPreviewo Width:metersPreview

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A box is formed by cutting squares from the four corners of a 11"-wide by 13"- 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 : Preview b. If the cutout length increases from 0.7 to 2.6 inches, what is the change in the box's volume? (You may use your graphing calculator.) cubic inches Preview c. If the cutout length increases from 2.6 to 4.7 inches, what is the change in the box's volume? cubic inches Preview

A box is formed by cutting squares from the four corners of a 11"-wide by 13"- 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 : Preview b. If the cutout length increases from 0.7 to 2.6 inches, what is the change in the box's volume? (You may use your graphing calculator.) cubic inches Preview c. If the cutout length increases from 2.6 to 4.7 inches, what is the change in the box's volume? cubic inches Preview

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

A box is formed by cutting squares from the four corners of a 11"-wide by 13"-
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
Preview
b. If the cutout length increases from 0.7 to 2.6 inches, what is the change in
the box's volume? (You may use your graphing calculator.)
cubic inches
Preview
c. If the cutout length increases from 2.6 to 4.7 inches, what is the change in
the box's volume?
cubic inches
Preview

A farmer has 70 meters of fencing to use to enclose a rectangular garden that has one side against a barn.
Let I represent the length of the rectangular garden (in meters) and let A represent the area of the rectangular garden
(in square meters).
a. Write a formula that expresses A in terms of l.
A =
Preview
b. What is the maximum area of the garden? (It may help to use a graphing calculator.)
square meters
Preview
c. What is the length and width of the garden that produces the maximum area?
o Length:
meters
Preview
o Width:
meters
Preview
d. If the farmer instead had 280 meters of fencing to enclose the garden, what garden-length and garden-width will
produce a garden with the maximum area?
o Length:
meters
Preview
o Width:
meters
Preview

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