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The volume, V, in cubic metres, of a rectangular cargo container can be modelled by the equation: V(x) = 4x³ - 21x² +29x - 6 a) Determine possible dimensions (length, width and height) of the container expressed in terms of x, in meters, that will result in this volume. b) What are the restrictions on the value(s) of xso that the volume of the rectangular container is not a negative value? Must show all your work.

The volume, V, in cubic metres, of a rectangular cargo container can be modelled by the equation: V(x) = 4x³ - 21x² +29x - 6 a) Determine possible dimensions (length, width and height) of the container expressed in terms of x, in meters, that will result in this volume. b) What are the restrictions on the value(s) of xso that the volume of the rectangular container is not a negative value? Must show all your work.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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2. The volume, V, in cubic metres, of a rectangular cargo container can be modelled by the equation: V(x) = 4x³ - 21x² + 29x - 6 a) Determine possible dimensions (length, width and height) of the container expressed in terms of x, in meters, that will result in this volume. b) What are the restrictions on the value(s) of xso that the volume of the rectangular container is not a negative value? Must show all your work. Show all your work.
Transcribed Image Text:2. The volume, V, in cubic metres, of a rectangular cargo container can be modelled by the equation: V(x) = 4x³ - 21x² + 29x - 6 a) Determine possible dimensions (length, width and height) of the container expressed in terms of x, in meters, that will result in this volume. b) What are the restrictions on the value(s) of xso that the volume of the rectangular container is not a negative value? Must show all your work. Show all your work.
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