Refer to the problem below and answer the succeeding questions: An open-box (top open) is made from a rectangular material of dimensions a = 15 inches by b= 11 inches by cutting a square of side at each corner and turning up the sides (see the figure). (Hint: Determine the value of which results in a box with the maximum volume)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 42HP
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Question
19
Refer to the problem below and answer the succeeding questions:
An open-box (top open) is made from a rectangular material of dimensions a = 15 inches
by b = 11 inches by cutting a square of side at each corner and turning up the sides
(see the figure). (Hint: Determine the value of which results in a box with the maximum
volume)
G
X
| b
Transcribed Image Text:Refer to the problem below and answer the succeeding questions: An open-box (top open) is made from a rectangular material of dimensions a = 15 inches by b = 11 inches by cutting a square of side at each corner and turning up the sides (see the figure). (Hint: Determine the value of which results in a box with the maximum volume) G X | b
[Select]
V = abx, what is the correct expression of the volume as a function of x?
A. V
(152) (11x) (2x)
B.V
(152x) (11 - 2x)
C. V
(152x) (11) x
D. V
(152x) (11- 2x) x
[Select]
29. What is the expanded form of the function?
A. V
165x52x² + 4x³
B. V
165
52x + 4x²
-
C. V = 165x - 52x² + 4
-
D. V = 165x - 52x²
30. What is the derivative of the volume?
A. V' = 165
B.V' =
-52 + 12x
C. V' = 165-104x + 12x²
D. V' = -52x - 12
[Select]
28. If the volume of the box is given by the formula
Transcribed Image Text:[Select] V = abx, what is the correct expression of the volume as a function of x? A. V (152) (11x) (2x) B.V (152x) (11 - 2x) C. V (152x) (11) x D. V (152x) (11- 2x) x [Select] 29. What is the expanded form of the function? A. V 165x52x² + 4x³ B. V 165 52x + 4x² - C. V = 165x - 52x² + 4 - D. V = 165x - 52x² 30. What is the derivative of the volume? A. V' = 165 B.V' = -52 + 12x C. V' = 165-104x + 12x² D. V' = -52x - 12 [Select] 28. If the volume of the box is given by the formula
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