Developmental Mathematics (9th Edition)
9th Edition
ISBN: 9780321997173
Author: Marvin L. Bittinger, Judith A. Beecher
Publisher: PEARSON
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Textbook Question
Chapter 11.1, Problem 16DE
Factor. Check by multiplying.
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Client
1
Weight before
diet (pounds)
Weight after
diet (pounds)
128
120
2
131
123
3
140
141
4
178
170
5
121
118
6
136
136
7
118
121
8
136
127
a) Determine the mean change in patient weight from before to after the
diet (after – before). What is the 95% confidence interval of this mean
difference?
You manage a chemical company with 2 warehouses. The following quantities of
Important Chemical A have arrived from an international supplier at 3 different
ports:
Chemical Available (L)
Port 1
Port 2
Port 3
400
110
100
The following amounts of Important Chemical A are required at your warehouses:
Warehouse 1
Warehouse 2
Chemical Required (L)
380
230
The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
Warehouse 1 Warehouse 2
Port 1
£10
£45
Port 2
£20
£28
Port 3
£13
£11
(a) You want to know how to send these shipments as cheaply as possible. For-
mulate this as a linear program (you do not need to formulate it in standard
inequality form) indicating what each variable represents.
a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1 12 23
81
82
83
S4
$1
-20
1 1
0
0
0
3
82
3 0
-2
0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0
-1 1 4
2
-2
0 11
0
0
-4
0
-8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize 21 - - 2x2 + x3 - 4x4
subject to 2x1+x22x3x4≥ 1,
5x1+x2-x3-4 -1,
2x1+x2-x3-342,
1, 2, 3, 4 ≥0.
Chapter 11 Solutions
Developmental Mathematics (9th Edition)
Ch. 11.1 - Objective 7.7d: Use the distributive laws to...Ch. 11.1 - Prob. 2SRCh. 11.1 - Prob. 1DECh. 11.1 - Prob. 2DECh. 11.1 - Prob. 3DECh. 11.1 - Prob. 4DECh. 11.1 - Prob. 5DECh. 11.1 - Prob. 6DECh. 11.1 - Find the GCF. GS 24m5n6,12mn3,16m2n2,8m4n4 The...Ch. 11.1 - Prob. 8DE
Ch. 11.1 - Prob. 9DECh. 11.1 - Prob. 10DECh. 11.1 - Prob. 11DECh. 11.1 - Prob. 12DECh. 11.1 - Factor. Check by multiplying.
13.
Ch. 11.1 - Prob. 14DECh. 11.1 - Prob. 15DECh. 11.1 - Factor. Check by multiplying.
16.
Ch. 11.1 - Prob. 17DECh. 11.1 - Prob. 18DECh. 11.1 - Prob. 19DECh. 11.1 - Prob. 20DECh. 11.1 - Prob. 21DECh. 11.1 - Prob. 22DECh. 11.1 - Prob. 23DECh. 11.1 - Prob. 24DECh. 11.1 - Prob. 1RCCh. 11.1 - Prob. 2RCCh. 11.1 - Prob. 3RCCh. 11.1 - Prob. 4RCCh. 11.1 - Prob. 1ESCh. 11.1 - Prob. 2ESCh. 11.1 - Prob. 3ESCh. 11.1 - Prob. 4ESCh. 11.1 - Prob. 5ESCh. 11.1 - Prob. 6ESCh. 11.1 - Prob. 7ESCh. 11.1 - Prob. 8ESCh. 11.1 - Prob. 9ESCh. 11.1 - Prob. 10ESCh. 11.1 - Prob. 11ESCh. 11.1 - Prob. 12ESCh. 11.1 - Prob. 13ESCh. 11.1 - Prob. 14ESCh. 11.1 - Prob. 15ESCh. 11.1 - Prob. 16ESCh. 11.1 - Prob. 17ESCh. 11.1 - Prob. 18ESCh. 11.1 - Prob. 19ESCh. 11.1 - Prob. 20ESCh. 11.1 - Prob. 21ESCh. 11.1 - Prob. 22ESCh. 11.1 - Prob. 23ESCh. 11.1 - Prob. 24ESCh. 11.1 - Prob. 25ESCh. 11.1 - Prob. 26ESCh. 11.1 - Prob. 27ESCh. 11.1 - Prob. 28ESCh. 11.1 - Prob. 29ESCh. 11.1 - Prob. 30ESCh. 11.1 - Prob. 31ESCh. 11.1 - Prob. 32ESCh. 11.1 - Prob. 33ESCh. 11.1 - Prob. 34ESCh. 11.1 - Prob. 35ESCh. 11.1 - Prob. 36ESCh. 11.1 - Prob. 37ESCh. 11.1 - Prob. 38ESCh. 11.1 - Prob. 39ESCh. 11.1 - Prob. 40ESCh. 11.1 - Prob. 41ESCh. 11.1 - Prob. 42ESCh. 11.1 - Prob. 43ESCh. 11.1 - Prob. 44ESCh. 11.1 - Prob. 45ESCh. 11.1 - Prob. 46ESCh. 11.1 - Prob. 47ESCh. 11.1 - Prob. 48ESCh. 11.1 - Factor by grouping. x3+3x2+2x+6Ch. 11.1 - Prob. 50ESCh. 11.1 - Factor by grouping. 2x3+6x2+x+3Ch. 11.1 - Factor by grouping. 3x3+2x2+3x+2Ch. 11.1 - Prob. 53ESCh. 11.1 - Prob. 54ESCh. 11.1 - Prob. 55ESCh. 11.1 - Prob. 56ESCh. 11.1 - Factor by grouping.
57.
Ch. 11.1 - Prob. 58ESCh. 11.1 - Factor by grouping.
59.
Ch. 11.1 - Factor by grouping. 2x3+12x25x30Ch. 11.1 - Factor by grouping. 2x38x29x+36Ch. 11.1 - Prob. 62ESCh. 11.1 - Prob. 63ESCh. 11.1 - Prob. 64ESCh. 11.1 - Prob. 65ESCh. 11.1 - Prob. 66ESCh. 11.1 - Prob. 67ESCh. 11.1 - Prob. 68ESCh. 11.1 - Prob. 69ESCh. 11.1 - Prob. 70ESCh. 11.1 - Prob. 71ESCh. 11.1 - Prob. 72ESCh. 11.1 - Prob. 73ESCh. 11.1 - Prob. 74ESCh. 11.1 - Factor.
75.
Ch. 11.1 - Prob. 76ESCh. 11.1 - Factor. x12+x7+x5+1Ch. 11.1 - Prob. 78ESCh. 11.1 - Prob. 79ESCh. 11.1 - Prob. 80ESCh. 11.2 - Objective 10.6a: Multiply two binomials mentally...Ch. 11.2 - Prob. 2SRCh. 11.2 - Prob. 1DECh. 11.2 - Prob. 2DECh. 11.2 - Prob. 3DECh. 11.2 - Prob. 4DECh. 11.2 - Prob. 5DECh. 11.2 - Prob. 6DECh. 11.2 - Prob. 7DECh. 11.2 - Prob. 8DECh. 11.2 - Prob. 9DECh. 11.2 - Prob. 10DECh. 11.2 - Prob. 11DECh. 11.2 - Prob. 12DECh. 11.2 - Prob. 13DECh. 11.2 - Prob. 14DECh. 11.2 - Prob. 15DECh. 11.2 - Prob. 16DECh. 11.2 - Prob. 17DECh. 11.2 - Prob. 1RCCh. 11.2 - Prob. 2RCCh. 11.2 - Prob. 3RCCh. 11.2 - Prob. 4RCCh. 11.2 - Prob. 1ESCh. 11.2 - Prob. 2ESCh. 11.2 - Prob. 3ESCh. 11.2 - Prob. 4ESCh. 11.2 - Prob. 5ESCh. 11.2 - Prob. 6ESCh. 11.2 - Prob. 7ESCh. 11.2 - Prob. 8ESCh. 11.2 - Prob. 9ESCh. 11.2 - Prob. 10ESCh. 11.2 - Prob. 11ESCh. 11.2 - Prob. 12ESCh. 11.2 - Prob. 13ESCh. 11.2 - Prob. 14ESCh. 11.2 - Prob. 15ESCh. 11.2 - Prob. 16ESCh. 11.2 - Prob. 17ESCh. 11.2 - Prob. 18ESCh. 11.2 - Prob. 19ESCh. 11.2 - Prob. 20ESCh. 11.2 - Prob. 21ESCh. 11.2 - Prob. 22ESCh. 11.2 - Prob. 23ESCh. 11.2 - Prob. 24ESCh. 11.2 - Prob. 25ESCh. 11.2 - Prob. 26ESCh. 11.2 - Prob. 27ESCh. 11.2 - Prob. 28ESCh. 11.2 - Prob. 29ESCh. 11.2 - Prob. 30ESCh. 11.2 - Prob. 31ESCh. 11.2 - Prob. 32ESCh. 11.2 - Prob. 33ESCh. 11.2 - Prob. 34ESCh. 11.2 - Prob. 35ESCh. 11.2 - Prob. 36ESCh. 11.2 - Prob. 37ESCh. 11.2 - Prob. 38ESCh. 11.2 - Prob. 39ESCh. 11.2 - Prob. 40ESCh. 11.2 - Prob. 41ESCh. 11.2 - Prob. 42ESCh. 11.2 - Prob. 43ESCh. 11.2 - Prob. 44ESCh. 11.2 - Prob. 45ESCh. 11.2 - Prob. 46ESCh. 11.2 - Prob. 47ESCh. 11.2 - Prob. 48ESCh. 11.2 - Prob. 49ESCh. 11.2 - Prob. 50ESCh. 11.2 - Prob. 51ESCh. 11.2 - Prob. 52ESCh. 11.2 - Prob. 53ESCh. 11.2 - Prob. 54ESCh. 11.2 - Prob. 55ESCh. 11.2 - Prob. 56ESCh. 11.2 - Prob. 57ESCh. 11.2 - Prob. 58ESCh. 11.2 - Prob. 59ESCh. 11.2 - Prob. 60ESCh. 11.2 - Prob. 61ESCh. 11.2 - Prob. 62ESCh. 11.2 - Prob. 63ESCh. 11.2 - Prob. 64ESCh. 11.2 - Prob. 65ESCh. 11.2 - Prob. 66ESCh. 11.2 - Prob. 67ESCh. 11.2 - Prob. 68ESCh. 11.2 - Prob. 69ESCh. 11.2 - Prob. 70ESCh. 11.2 - Prob. 71ESCh. 11.2 - Prob. 72ESCh. 11.2 - Prob. 73ESCh. 11.2 - Prob. 74ESCh. 11.2 - Prob. 75ESCh. 11.2 - Prob. 76ESCh. 11.2 - Prob. 77ESCh. 11.2 - Prob. 78ESCh. 11.2 - Prob. 79ESCh. 11.2 - Prob. 80ESCh. 11.2 - Prob. 81ESCh. 11.2 - Prob. 82ESCh. 11.2 - Prob. 83ESCh. 11.2 - Prob. 84ESCh. 11.2 - Prob. 85ESCh. 11.2 - Prob. 86ESCh. 11.2 - Prob. 87ESCh. 11.2 - Prob. 88ESCh. 11.2 - Prob. 89ESCh. 11.2 - Prob. 90ESCh. 11.2 - Prob. 91ESCh. 11.2 - Prob. 92ESCh. 11.2 - Prob. 93ESCh. 11.2 - Prob. 94ESCh. 11.2 - Prob. 95ESCh. 11.2 - Prob. 96ESCh. 11.2 - Prob. 97ESCh. 11.2 - Prob. 98ESCh. 11.3 - Objective 10.6a: Multiply two binomials mentally...Ch. 11.3 - Prob. 2SRCh. 11.3 - Prob. 1CCE1Ch. 11.3 - Prob. 2CCE1Ch. 11.3 - Prob. 3CCE1Ch. 11.3 - Prob. 4CCE1Ch. 11.3 - Prob. 1DECh. 11.3 - Prob. 2DECh. 11.3 - Prob. 3DECh. 11.3 - Prob. 4DECh. 11.3 - Prob. 5DECh. 11.3 - Prob. 6DECh. 11.3 - Prob. 7DECh. 11.3 - Prob. 8DECh. 11.3 - Prob. 9DECh. 11.3 - Prob. 1RCCh. 11.3 - Prob. 2RCCh. 11.3 - Prob. 3RCCh. 11.3 - Prob. 4RCCh. 11.3 - Prob. 1ESCh. 11.3 - Prob. 2ESCh. 11.3 - Prob. 3ESCh. 11.3 - Prob. 4ESCh. 11.3 - Prob. 5ESCh. 11.3 - Prob. 6ESCh. 11.3 - Prob. 7ESCh. 11.3 - Prob. 8ESCh. 11.3 - Prob. 9ESCh. 11.3 - Prob. 10ESCh. 11.3 - Prob. 11ESCh. 11.3 - Prob. 12ESCh. 11.3 - Prob. 13ESCh. 11.3 - Prob. 14ESCh. 11.3 - Prob. 15ESCh. 11.3 - Prob. 16ESCh. 11.3 - Prob. 17ESCh. 11.3 - Prob. 18ESCh. 11.3 - Prob. 19ESCh. 11.3 - Prob. 20ESCh. 11.3 - Prob. 21ESCh. 11.3 - Prob. 22ESCh. 11.3 - Prob. 23ESCh. 11.3 - Prob. 24ESCh. 11.3 - Prob. 25ESCh. 11.3 - Prob. 26ESCh. 11.3 - Prob. 27ESCh. 11.3 - Prob. 28ESCh. 11.3 - Prob. 29ESCh. 11.3 - Prob. 30ESCh. 11.3 - Prob. 31ESCh. 11.3 - Prob. 32ESCh. 11.3 - Prob. 33ESCh. 11.3 - Prob. 34ESCh. 11.3 - Prob. 35ESCh. 11.3 - Prob. 36ESCh. 11.3 - Prob. 37ESCh. 11.3 - Prob. 38ESCh. 11.3 - Prob. 39ESCh. 11.3 - Prob. 40ESCh. 11.3 - Prob. 41ESCh. 11.3 - Prob. 42ESCh. 11.3 - Prob. 43ESCh. 11.3 - Prob. 44ESCh. 11.3 - Prob. 45ESCh. 11.3 - Prob. 46ESCh. 11.3 - Prob. 47ESCh. 11.3 - Prob. 48ESCh. 11.3 - Prob. 49ESCh. 11.3 - Prob. 50ESCh. 11.3 - Prob. 51ESCh. 11.3 - Prob. 52ESCh. 11.3 - Prob. 53ESCh. 11.3 - Prob. 54ESCh. 11.3 - Prob. 55ESCh. 11.3 - Prob. 56ESCh. 11.3 - Prob. 57ESCh. 11.3 - Prob. 58ESCh. 11.3 - Prob. 59ESCh. 11.3 - Prob. 60ESCh. 11.3 - Prob. 61ESCh. 11.3 - Prob. 62ESCh. 11.3 - Prob. 63ESCh. 11.3 - Prob. 64ESCh. 11.3 - Prob. 65ESCh. 11.3 - Prob. 66ESCh. 11.3 - Prob. 67ESCh. 11.3 - Prob. 68ESCh. 11.3 - Prob. 69ESCh. 11.3 - Prob. 70ESCh. 11.3 - Prob. 71ESCh. 11.3 - Prob. 72ESCh. 11.3 - Prob. 73ESCh. 11.3 - Prob. 74ESCh. 11.3 - Prob. 75ESCh. 11.3 - Prob. 76ESCh. 11.3 - Prob. 77ESCh. 11.3 - Prob. 78ESCh. 11.3 - Prob. 79ESCh. 11.3 - Prob. 80ESCh. 11.3 - Prob. 81ESCh. 11.3 - Prob. 82ESCh. 11.3 - Prob. 83ESCh. 11.3 - Prob. 84ESCh. 11.3 - Prob. 85ESCh. 11.3 - Prob. 86ESCh. 11.3 - Prob. 87ESCh. 11.3 - Prob. 88ESCh. 11.3 - Prob. 89ESCh. 11.3 - Prob. 90ESCh. 11.3 - Use the table feature to check the factoring in...Ch. 11.3 - Prob. 92ESCh. 11.3 - Prob. 93ESCh. 11.3 - Prob. 94ESCh. 11.4 - Objective 11.1c: Factor certain expressions with...Ch. 11.4 - Prob. 2SRCh. 11.4 - Prob. 1DECh. 11.4 - Prob. 2DECh. 11.4 - Prob. 3DECh. 11.4 - Prob. 4DECh. 11.4 - Prob. 1RCCh. 11.4 - Prob. 2RCCh. 11.4 - Prob. 3RCCh. 11.4 - Prob. 4RCCh. 11.4 - Prob. 1ESCh. 11.4 - Prob. 2ESCh. 11.4 - Prob. 3ESCh. 11.4 - Prob. 4ESCh. 11.4 - Prob. 5ESCh. 11.4 - a Factor. Note that the middle term has already...Ch. 11.4 - Prob. 7ESCh. 11.4 - Prob. 8ESCh. 11.4 - Prob. 9ESCh. 11.4 - a
Factor. Note that the middle term has already...Ch. 11.4 - a
Factor. Note that the middle term has already...Ch. 11.4 - Prob. 12ESCh. 11.4 - a Factor. Note that the middle term has already...Ch. 11.4 - a Factor. Note that the middle term has already...Ch. 11.4 - Prob. 15ESCh. 11.4 - Prob. 16ESCh. 11.4 - Prob. 17ESCh. 11.4 - Prob. 18ESCh. 11.4 - Prob. 19ESCh. 11.4 - Prob. 20ESCh. 11.4 - Prob. 21ESCh. 11.4 - Prob. 22ESCh. 11.4 - Prob. 23ESCh. 11.4 - Prob. 24ESCh. 11.4 - Prob. 25ESCh. 11.4 - Prob. 26ESCh. 11.4 - Prob. 27ESCh. 11.4 - Prob. 28ESCh. 11.4 - Prob. 29ESCh. 11.4 - Prob. 30ESCh. 11.4 - Prob. 31ESCh. 11.4 - Prob. 32ESCh. 11.4 - Prob. 33ESCh. 11.4 - Prob. 34ESCh. 11.4 - Prob. 35ESCh. 11.4 - Prob. 36ESCh. 11.4 - Prob. 37ESCh. 11.4 - Prob. 38ESCh. 11.4 - Prob. 39ESCh. 11.4 - Prob. 40ESCh. 11.4 - Prob. 41ESCh. 11.4 - Prob. 42ESCh. 11.4 - Prob. 43ESCh. 11.4 - Prob. 44ESCh. 11.4 - Prob. 45ESCh. 11.4 - Prob. 46ESCh. 11.4 - Prob. 47ESCh. 11.4 - Prob. 48ESCh. 11.4 - Factor using the ac-method.
49.
Ch. 11.4 - Prob. 50ESCh. 11.4 - Prob. 51ESCh. 11.4 - Prob. 52ESCh. 11.4 - Prob. 53ESCh. 11.4 - Prob. 54ESCh. 11.4 - Prob. 55ESCh. 11.4 - Prob. 56ESCh. 11.4 - Prob. 57ESCh. 11.4 - Prob. 58ESCh. 11.4 - Prob. 59ESCh. 11.4 - Prob. 60ESCh. 11.4 - Prob. 61ESCh. 11.4 - Prob. 62ESCh. 11.4 - Prob. 63ESCh. 11.4 - Prob. 64ESCh. 11.4 - Prob. 65ESCh. 11.4 - Prob. 66ESCh. 11.4 - Prob. 67ESCh. 11.4 - Prob. 68ESCh. 11.4 - Prob. 69ESCh. 11.4 - Prob. 70ESCh. 11.4 - Prob. 71ESCh. 11.4 - Prob. 72ESCh. 11.4 - Prob. 73ESCh. 11.4 - Prob. 74ESCh. 11.4 - Prob. 75ESCh. 11.4 - Prob. 76ESCh. 11.4 - Prob. 77ESCh. 11.4 - Prob. 78ESCh. 11.4 - Prob. 79ESCh. 11.4 - Prob. 80ESCh. 11.4 - Prob. 81ESCh. 11.4 - Prob. 82ESCh. 11.4 - Prob. 83ESCh. 11.4 - Prob. 84ESCh. 11.4 - Prob. 85ESCh. 11.4 - Prob. 86ESCh. 11.4 - Prob. 87ESCh. 11.4 - Prob. 88ESCh. 11.4 - Prob. 89ESCh. 11.4 - Prob. 90ESCh. 11.4 - Prob. 91ESCh. 11.4 - Prob. 92ESCh. 11.4 - Prob. 93ESCh. 11.4 - Prob. 94ESCh. 11.4 - Prob. 95ESCh. 11.4 - Prob. 96ESCh. 11.4 - Prob. 97ESCh. 11.4 - Prob. 98ESCh. 11.4 - Prob. 99ESCh. 11.4 - Prob. 100ESCh. 11.4 - Prob. 101ESCh. 11.4 - Prob. 102ESCh. 11.4 - Prob. 103ESCh. 11.4 - Prob. 104ESCh. 11.4 - Prob. 105ESCh. 11.4 - Prob. 106ESCh. 11.4 - Prob. 107ESCh. 11.4 - Prob. 108ESCh. 11.4 - Prob. 109ESCh. 11.4 - Prob. 110ESCh. 11.4 - Prob. 111ESCh. 11.4 - Prob. 112ESCh. 11.4 - Prob. 1MCRCh. 11.4 - Prob. 2MCRCh. 11.4 - Prob. 3MCRCh. 11.4 - Determine whether each statement is true or...Ch. 11.4 - Prob. 5MCRCh. 11.4 - Prob. 6MCRCh. 11.4 - Prob. 7MCRCh. 11.4 - Prob. 8MCRCh. 11.4 - Prob. 9MCRCh. 11.4 - Prob. 10MCRCh. 11.4 - Prob. 11MCRCh. 11.4 - Prob. 12MCRCh. 11.4 - Prob. 13MCRCh. 11.4 - Prob. 14MCRCh. 11.4 - Prob. 15MCRCh. 11.4 - Prob. 16MCRCh. 11.4 - Prob. 17MCRCh. 11.4 - Prob. 18MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 20MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 22MCRCh. 11.4 - Prob. 23MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 26MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 28MCRCh. 11.4 - Prob. 29MCRCh. 11.4 - Prob. 30MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 32MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 34MCRCh. 11.4 - Prob. 35MCRCh. 11.4 - Prob. 36MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 38MCRCh. 11.4 - Prob. 39MCRCh. 11.4 - Prob. 40MCRCh. 11.4 - Prob. 41MCRCh. 11.4 - Prob. 42MCRCh. 11.4 - Prob. 43MCRCh. 11.4 - Prob. 44MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 46MCRCh. 11.4 - Prob. 47MCRCh. 11.4 - Prob. 48MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 50MCRCh. 11.4 - Prob. 51MCRCh. 11.4 - Prob. 52MCRCh. 11.4 - Prob. 53MCRCh. 11.4 - Prob. 54MCRCh. 11.4 - Prob. 55MCRCh. 11.4 - Prob. 56MCRCh. 11.4 - Prob. 57MCRCh. 11.4 - Prob. 58MCRCh. 11.4 - Prob. 59MCRCh. 11.4 - Prob. 60MCRCh. 11.4 - Prob. 61MCRCh. 11.4 - Prob. 62MCRCh. 11.4 - Prob. 63MCRCh. 11.4 - Prob. 64MCRCh. 11.4 - Prob. 65MCRCh. 11.4 - Prob. 66MCRCh. 11.4 - Prob. 67MCRCh. 11.4 - Prob. 68MCRCh. 11.4 - Prob. 69MCRCh. 11.5 - Determine whether each is a trinomial square....Ch. 11.5 - Prob. 2DECh. 11.5 - Prob. 3DECh. 11.5 - Prob. 4DECh. 11.5 - Prob. 5DECh. 11.5 - Prob. 6DECh. 11.5 - Prob. 7DECh. 11.5 - Prob. 8DECh. 11.5 - Prob. 9DECh. 11.5 - Prob. 10DECh. 11.5 - Prob. 11DECh. 11.5 - Prob. 12DECh. 11.5 - Prob. 13DECh. 11.5 - Prob. 14DECh. 11.5 - Prob. 15DECh. 11.5 - Prob. 16DECh. 11.5 - Prob. 17DECh. 11.5 - Prob. 18DECh. 11.5 - Prob. 19DECh. 11.5 - Prob. 20DECh. 11.5 - Prob. 21DECh. 11.5 - Prob. 22DECh. 11.5 - Prob. 23DECh. 11.5 - Prob. 24DECh. 11.5 - Prob. 25DECh. 11.5 - Prob. 26DECh. 11.5 - Prob. 27DECh. 11.5 - Prob. 28DECh. 11.5 - Prob. 29DECh. 11.5 - Prob. 30DECh. 11.5 - Prob. 31DECh. 11.5 - Prob. 32DECh. 11.5 - Prob. 1RCCh. 11.5 - Prob. 2RCCh. 11.5 - Prob. 3RCCh. 11.5 - Prob. 4RCCh. 11.5 - Prob. 1ESCh. 11.5 - Prob. 2ESCh. 11.5 - Prob. 3ESCh. 11.5 - Prob. 4ESCh. 11.5 - Prob. 5ESCh. 11.5 - Prob. 6ESCh. 11.5 - Prob. 7ESCh. 11.5 - Prob. 8ESCh. 11.5 - Prob. 9ESCh. 11.5 - Prob. 10ESCh. 11.5 - Prob. 11ESCh. 11.5 - Prob. 12ESCh. 11.5 - Prob. 13ESCh. 11.5 - Prob. 14ESCh. 11.5 - Prob. 15ESCh. 11.5 - Prob. 16ESCh. 11.5 - Prob. 17ESCh. 11.5 - Prob. 18ESCh. 11.5 - Prob. 19ESCh. 11.5 - Prob. 20ESCh. 11.5 - Prob. 21ESCh. 11.5 - Prob. 22ESCh. 11.5 - Prob. 23ESCh. 11.5 - Prob. 24ESCh. 11.5 - Prob. 25ESCh. 11.5 - Prob. 26ESCh. 11.5 - Prob. 27ESCh. 11.5 - Prob. 28ESCh. 11.5 - Prob. 29ESCh. 11.5 - Prob. 30ESCh. 11.5 - Prob. 31ESCh. 11.5 - Prob. 32ESCh. 11.5 - Prob. 33ESCh. 11.5 - Prob. 34ESCh. 11.5 - Prob. 35ESCh. 11.5 - Prob. 36ESCh. 11.5 - Prob. 37ESCh. 11.5 - Prob. 38ESCh. 11.5 - Prob. 39ESCh. 11.5 - Prob. 40ESCh. 11.5 - Prob. 41ESCh. 11.5 - Prob. 42ESCh. 11.5 - Prob. 43ESCh. 11.5 - Prob. 44ESCh. 11.5 - Prob. 45ESCh. 11.5 - Prob. 46ESCh. 11.5 - Prob. 47ESCh. 11.5 - Prob. 48ESCh. 11.5 - Prob. 49ESCh. 11.5 - Prob. 50ESCh. 11.5 - Prob. 51ESCh. 11.5 - Prob. 52ESCh. 11.5 - Prob. 53ESCh. 11.5 - Prob. 54ESCh. 11.5 - Prob. 55ESCh. 11.5 - Prob. 56ESCh. 11.5 - Prob. 57ESCh. 11.5 - Prob. 58ESCh. 11.5 - Prob. 59ESCh. 11.5 - Prob. 60ESCh. 11.5 - Prob. 61ESCh. 11.5 - Prob. 62ESCh. 11.5 - Prob. 63ESCh. 11.5 - Prob. 64ESCh. 11.5 - Prob. 65ESCh. 11.5 - Prob. 66ESCh. 11.5 - Prob. 67ESCh. 11.5 - Prob. 68ESCh. 11.5 - Prob. 69ESCh. 11.5 - Prob. 70ESCh. 11.5 - Prob. 71ESCh. 11.5 - Prob. 72ESCh. 11.5 - Prob. 73ESCh. 11.5 - Prob. 74ESCh. 11.5 - Prob. 75ESCh. 11.5 - Prob. 76ESCh. 11.5 - Prob. 77ESCh. 11.5 - Prob. 78ESCh. 11.5 - Prob. 79ESCh. 11.5 - Prob. 80ESCh. 11.5 - Prob. 81ESCh. 11.5 - Prob. 82ESCh. 11.5 - Prob. 83ESCh. 11.5 - Prob. 84ESCh. 11.5 - Prob. 85ESCh. 11.5 - Prob. 86ESCh. 11.5 - Prob. 87ESCh. 11.5 - Prob. 88ESCh. 11.5 - Prob. 89ESCh. 11.5 - Prob. 90ESCh. 11.5 - Prob. 91ESCh. 11.5 - Prob. 92ESCh. 11.5 - Prob. 93ESCh. 11.5 - Prob. 94ESCh. 11.5 - Prob. 95ESCh. 11.5 - Prob. 96ESCh. 11.5 - Prob. 97ESCh. 11.5 - Prob. 98ESCh. 11.5 - Prob. 99ESCh. 11.5 - Prob. 100ESCh. 11.5 - Prob. 101ESCh. 11.5 - Prob. 102ESCh. 11.5 - Prob. 103ESCh. 11.5 - Prob. 104ESCh. 11.5 - Prob. 105ESCh. 11.5 - Prob. 106ESCh. 11.5 - Prob. 107ESCh. 11.5 - Prob. 108ESCh. 11.5 - Prob. 109ESCh. 11.5 - Prob. 110ESCh. 11.5 - Prob. 111ESCh. 11.5 - Prob. 112ESCh. 11.5 - Prob. 113ESCh. 11.5 - Prob. 114ESCh. 11.5 - Prob. 115ESCh. 11.5 - Prob. 116ESCh. 11.5 - Prob. 117ESCh. 11.5 - Prob. 118ESCh. 11.5 - Prob. 119ESCh. 11.5 - Prob. 120ESCh. 11.5 - Prob. 121ESCh. 11.5 - Prob. 122ESCh. 11.5 - Prob. 123ESCh. 11.5 - Prob. 124ESCh. 11.5 - Prob. 125ESCh. 11.5 - Prob. 126ESCh. 11.5 - Prob. 127ESCh. 11.5 - Prob. 128ESCh. 11.5 - Prob. 129ESCh. 11.5 - Prob. 130ESCh. 11.5 - Prob. 131ESCh. 11.5 - Prob. 132ESCh. 11.6 - Objective 10.7f: Multiply polynomials. Multiply....Ch. 11.6 - Prob. 2SRCh. 11.6 - Prob. 1DECh. 11.6 - Prob. 2DECh. 11.6 - Prob. 3DECh. 11.6 - Prob. 4DECh. 11.6 - Prob. 5DECh. 11.6 - Prob. 6DECh. 11.6 - Prob. 7DECh. 11.6 - Prob. 8DECh. 11.6 - Factor.
9.
Ch. 11.6 - Prob. 10DECh. 11.6 - Prob. 11DECh. 11.6 - Prob. 12DECh. 11.6 - Prob. 1RCCh. 11.6 - Prob. 2RCCh. 11.6 - Prob. 3RCCh. 11.6 - Prob. 4RCCh. 11.6 - Prob. 5RCCh. 11.6 - Prob. 6RCCh. 11.6 - Prob. 1ESCh. 11.6 - Prob. 2ESCh. 11.6 - Prob. 3ESCh. 11.6 - Prob. 4ESCh. 11.6 - Prob. 5ESCh. 11.6 - Prob. 6ESCh. 11.6 - Prob. 7ESCh. 11.6 - Prob. 8ESCh. 11.6 - Prob. 9ESCh. 11.6 - Prob. 10ESCh. 11.6 - Prob. 11ESCh. 11.6 - Prob. 12ESCh. 11.6 - Prob. 13ESCh. 11.6 - Prob. 14ESCh. 11.6 - Prob. 15ESCh. 11.6 - Prob. 16ESCh. 11.6 - Prob. 17ESCh. 11.6 - Prob. 18ESCh. 11.6 - Prob. 19ESCh. 11.6 - Prob. 20ESCh. 11.6 - Prob. 21ESCh. 11.6 - Prob. 22ESCh. 11.6 - Prob. 23ESCh. 11.6 - Prob. 24ESCh. 11.6 - Prob. 25ESCh. 11.6 - Prob. 26ESCh. 11.6 - Prob. 27ESCh. 11.6 - Prob. 28ESCh. 11.6 - Prob. 29ESCh. 11.6 - Prob. 30ESCh. 11.6 - Prob. 31ESCh. 11.6 - Prob. 32ESCh. 11.6 - Prob. 33ESCh. 11.6 - Prob. 34ESCh. 11.6 - Prob. 35ESCh. 11.6 - Prob. 36ESCh. 11.6 - Prob. 37ESCh. 11.6 - Prob. 38ESCh. 11.6 - Prob. 39ESCh. 11.6 - Prob. 40ESCh. 11.6 - Prob. 41ESCh. 11.6 - Prob. 42ESCh. 11.6 - Prob. 43ESCh. 11.6 - Prob. 44ESCh. 11.6 - Prob. 45ESCh. 11.6 - Prob. 46ESCh. 11.6 - Prob. 47ESCh. 11.6 - Prob. 48ESCh. 11.6 - Prob. 49ESCh. 11.6 - Prob. 50ESCh. 11.6 - Prob. 51ESCh. 11.6 - Prob. 52ESCh. 11.6 - Prob. 53ESCh. 11.6 - Prob. 54ESCh. 11.6 - Prob. 55ESCh. 11.6 - Prob. 56ESCh. 11.6 - Prob. 57ESCh. 11.6 - Prob. 58ESCh. 11.6 - Prob. 59ESCh. 11.6 - Prob. 60ESCh. 11.6 - Prob. 61ESCh. 11.6 - Prob. 62ESCh. 11.6 - Prob. 63ESCh. 11.6 - Prob. 64ESCh. 11.6 - Prob. 65ESCh. 11.6 - Prob. 66ESCh. 11.6 - Prob. 67ESCh. 11.6 - Prob. 68ESCh. 11.6 - Prob. 69ESCh. 11.6 - Prob. 70ESCh. 11.6 - Prob. 71ESCh. 11.6 - Prob. 72ESCh. 11.6 - Prob. 73ESCh. 11.6 - Prob. 74ESCh. 11.6 - a
Factor completely.
75.
Ch. 11.6 - a Factor completely. m37m24m+28Ch. 11.6 - Prob. 77ESCh. 11.6 - Prob. 78ESCh. 11.6 - Prob. 79ESCh. 11.6 - Prob. 80ESCh. 11.6 - Prob. 81ESCh. 11.6 - Prob. 82ESCh. 11.6 - Prob. 83ESCh. 11.6 - Prob. 84ESCh. 11.6 - Prob. 85ESCh. 11.6 - Prob. 86ESCh. 11.6 - Prob. 87ESCh. 11.6 - Prob. 88ESCh. 11.6 - Prob. 89ESCh. 11.6 - Prob. 90ESCh. 11.6 - Factor completely.
91.
Ch. 11.6 - Prob. 92ESCh. 11.6 - Prob. 93ESCh. 11.6 - Prob. 94ESCh. 11.6 - Factor completely.
95.
Ch. 11.6 - Prob. 96ESCh. 11.6 - Prob. 97ESCh. 11.6 - Prob. 98ESCh. 11.6 - Prob. 99ESCh. 11.7 - Objective 8.3a: Solve equations using both the...Ch. 11.7 - Prob. 2SRCh. 11.7 - Prob. 1DECh. 11.7 - Prob. 2DECh. 11.7 - Prob. 3DECh. 11.7 - Prob. 4DECh. 11.7 - Prob. 1CCE1Ch. 11.7 - Prob. 5DECh. 11.7 - Prob. 6DECh. 11.7 - Prob. 7DECh. 11.7 - Prob. 8DECh. 11.7 - Prob. 9DECh. 11.7 - Prob. 10DECh. 11.7 - Prob. 11DECh. 11.7 - Prob. 12DECh. 11.7 - Prob. 13DECh. 11.7 - Prob. 14DECh. 11.7 - Prob. 1RCCh. 11.7 - Prob. 2RCCh. 11.7 - Prob. 3RCCh. 11.7 - Prob. 4RCCh. 11.7 - Prob. 1ESCh. 11.7 - Prob. 2ESCh. 11.7 - Prob. 3ESCh. 11.7 - Prob. 4ESCh. 11.7 - Prob. 5ESCh. 11.7 - Prob. 6ESCh. 11.7 - Prob. 7ESCh. 11.7 - Prob. 8ESCh. 11.7 - Prob. 9ESCh. 11.7 - Prob. 10ESCh. 11.7 - Prob. 11ESCh. 11.7 - Prob. 12ESCh. 11.7 - Prob. 13ESCh. 11.7 - Prob. 14ESCh. 11.7 - Prob. 15ESCh. 11.7 - Prob. 16ESCh. 11.7 - Prob. 17ESCh. 11.7 - Prob. 18ESCh. 11.7 - Prob. 19ESCh. 11.7 - Prob. 20ESCh. 11.7 - Prob. 21ESCh. 11.7 - Prob. 22ESCh. 11.7 - Prob. 23ESCh. 11.7 - Prob. 24ESCh. 11.7 - Prob. 25ESCh. 11.7 - Prob. 26ESCh. 11.7 - Prob. 27ESCh. 11.7 - Prob. 28ESCh. 11.7 - Prob. 29ESCh. 11.7 - Prob. 30ESCh. 11.7 - Prob. 31ESCh. 11.7 - Prob. 32ESCh. 11.7 - Prob. 33ESCh. 11.7 - Prob. 34ESCh. 11.7 - Prob. 35ESCh. 11.7 - Prob. 36ESCh. 11.7 - Prob. 37ESCh. 11.7 - Prob. 38ESCh. 11.7 - Prob. 39ESCh. 11.7 - Prob. 40ESCh. 11.7 - Prob. 41ESCh. 11.7 - Prob. 42ESCh. 11.7 - Prob. 43ESCh. 11.7 - Prob. 44ESCh. 11.7 - Prob. 45ESCh. 11.7 - Prob. 46ESCh. 11.7 - Prob. 47ESCh. 11.7 - Prob. 48ESCh. 11.7 - Prob. 49ESCh. 11.7 - Prob. 50ESCh. 11.7 - Prob. 51ESCh. 11.7 - Prob. 52ESCh. 11.7 - Prob. 53ESCh. 11.7 - Prob. 54ESCh. 11.7 - Prob. 55ESCh. 11.7 - Prob. 56ESCh. 11.7 - Prob. 57ESCh. 11.7 - Prob. 58ESCh. 11.7 - Prob. 59ESCh. 11.7 - Prob. 60ESCh. 11.7 - Prob. 61ESCh. 11.7 - Prob. 62ESCh. 11.7 - Prob. 63ESCh. 11.7 - Prob. 64ESCh. 11.7 - Prob. 65ESCh. 11.7 - Prob. 66ESCh. 11.7 - Prob. 67ESCh. 11.7 - Prob. 68ESCh. 11.7 - Prob. 69ESCh. 11.7 - Prob. 70ESCh. 11.7 - Prob. 71ESCh. 11.7 - Prob. 72ESCh. 11.7 - Prob. 73ESCh. 11.7 - Prob. 74ESCh. 11.7 - Prob. 75ESCh. 11.7 - Prob. 76ESCh. 11.7 - Prob. 77ESCh. 11.7 - Prob. 78ESCh. 11.7 - Prob. 79ESCh. 11.7 - Prob. 80ESCh. 11.7 - Prob. 81ESCh. 11.7 - Prob. 82ESCh. 11.7 - Prob. 83ESCh. 11.8 - Objective 8.6a: Solve applied problems by...Ch. 11.8 - Prob. 2SRCh. 11.8 - Prob. 1DECh. 11.8 - Prob. 2DECh. 11.8 - Prob. 3DECh. 11.8 - Prob. 4DECh. 11.8 - Prob. 5DECh. 11.8 - Prob. 6DECh. 11.8 - Prob. 1TFSCh. 11.8 - Prob. 2TFSCh. 11.8 - Prob. 3TFSCh. 11.8 - Prob. 4TFSCh. 11.8 - Prob. 5TFSCh. 11.8 - Prob. 6TFSCh. 11.8 - Prob. 8TFSCh. 11.8 - Prob. 9TFSCh. 11.8 - Prob. 10TFSCh. 11.8 - Prob. 1RCCh. 11.8 - Prob. 2RCCh. 11.8 - Prob. 3RCCh. 11.8 - Prob. 4RCCh. 11.8 - Prob. 1ESCh. 11.8 - Prob. 2ESCh. 11.8 - Prob. 3ESCh. 11.8 - Prob. 4ESCh. 11.8 - Prob. 5ESCh. 11.8 - Prob. 6ESCh. 11.8 - Prob. 7ESCh. 11.8 - a
Solve.
8. Dimensions of a Sail. The height of...Ch. 11.8 - Prob. 9ESCh. 11.8 - Prob. 10ESCh. 11.8 - Prob. 11ESCh. 11.8 - Games in a League. Use for Exercises 9–12.
12. A...Ch. 11.8 - Handshakes. Dr. Benton wants to investigate the...Ch. 11.8 - Handshakes. Dr. Benton wants to investigate the...Ch. 11.8 - Prob. 15ESCh. 11.8 - Prob. 16ESCh. 11.8 - Prob. 17ESCh. 11.8 - Prob. 18ESCh. 11.8 - Prob. 19ESCh. 11.8 - Prob. 20ESCh. 11.8 - Prob. 21ESCh. 11.8 - Prob. 22ESCh. 11.8 - Prob. 23ESCh. 11.8 - Prob. 24ESCh. 11.8 - Right-Triangle Geometry. The length of one leg of...Ch. 11.8 - Prob. 26ESCh. 11.8 - Prob. 27ESCh. 11.8 - Prob. 28ESCh. 11.8 - Prob. 29ESCh. 11.8 - Prob. 30ESCh. 11.8 - Prob. 31ESCh. 11.8 - Prob. 32ESCh. 11.8 - Prob. 33ESCh. 11.8 - Prob. 34ESCh. 11.8 - Prob. 35ESCh. 11.8 - Prob. 36ESCh. 11.8 - Prob. 37ESCh. 11.8 - Prob. 38ESCh. 11.8 - Prob. 39ESCh. 11.8 - Prob. 40ESCh. 11.8 - Prob. 41ESCh. 11.8 - Prob. 42ESCh. 11.8 - Prob. 43ESCh. 11.8 - Prob. 44ESCh. 11.8 - Prob. 45ESCh. 11.8 - Prob. 46ESCh. 11.8 - Prob. 47ESCh. 11.8 - Prob. 48ESCh. 11.8 - Prob. 49ESCh. 11.8 - Prob. 50ESCh. 11 - Complete each statement with the correct term from...Ch. 11 - Prob. 2VRCh. 11 - Prob. 3VRCh. 11 - Prob. 4VRCh. 11 - Prob. 5VRCh. 11 - Prob. 6VRCh. 11 - Prob. 7VRCh. 11 - Prob. 8VRCh. 11 - Prob. 1CORCh. 11 - Prob. 2CORCh. 11 - Prob. 3CORCh. 11 - Prob. 4CORCh. 11 - Prob. 1SGPECh. 11 - Prob. 2SGPECh. 11 - 3. Factor by grouping.
Ch. 11 - Prob. 4SGPECh. 11 - Prob. 5SGPECh. 11 - Prob. 6SGPECh. 11 - Prob. 7SGPECh. 11 - Prob. 8SGPECh. 11 - Prob. 9SGPECh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Factor completely. [11.6a]
32.
Ch. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - 52. Use the information in the figure below to...Ch. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 1UTDWCh. 11 - Prob. 2UTDWCh. 11 - Prob. 3UTDWCh. 11 - Prob. 4UTDWCh. 11 - Prob. 5UTDWCh. 11 - Prob. 1TCh. 11 - Prob. 2TCh. 11 - Prob. 3TCh. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6TCh. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Prob. 11TCh. 11 - Prob. 12TCh. 11 - Prob. 13TCh. 11 - Prob. 14TCh. 11 - Prob. 15TCh. 11 - Prob. 16TCh. 11 - Factor completely.
17.
Ch. 11 - Prob. 18TCh. 11 - Prob. 19TCh. 11 - Prob. 20TCh. 11 - Prob. 21TCh. 11 - Prob. 22TCh. 11 - Prob. 23TCh. 11 - Prob. 24TCh. 11 - Prob. 25TCh. 11 - Prob. 26TCh. 11 - Prob. 27TCh. 11 - Prob. 28TCh. 11 - Prob. 29TCh. 11 - Prob. 30TCh. 11 - Prob. 31TCh. 11 - Prob. 32TCh. 11 - Prob. 33TCh. 11 - Prob. 34T
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- Suppose we have a linear program in standard equation form maximize c'x subject to Ax=b, x≥ 0. and suppose u, v, and w are all optimal solutions to this linear program. (a) Prove that zu+v+w is an optimal solution. (b) If you try to adapt your proof from part (a) to prove that that u+v+w is an optimal solution, say exactly which part(s) of the proof go wrong. (c) If you try to adapt your proof from part (a) to prove that u+v-w is an optimal solution, say exactly which part(s) of the proof go wrong.arrow_forward(a) For the following linear programme, sketch the feasible region and the direction of the objective function. Use you sketch to find an optimal solution to the program. State the optimal solution and give the objective value for this solution. maximize +22 subject to 1 + 2x2 ≤ 4, 1 +3x2 ≤ 12, x1, x2 ≥0 (b) For the following linear programme, sketch the feasible region and the direction of the objective function. Explain, making reference to your sketch, why this linear programme is unbounded. maximize ₁+%2 subject to -2x1 + x2 ≤ 4, x1 - 2x2 ≤4, x1 + x2 ≥ 7, x1,x20 Give any feasible solution to the linear programme for which the objective value is 40 (you do not need to justify your answer).arrow_forwardfind the domain of the function f(x)arrow_forward
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- or W Annuities L Question 2, 5.3.7 > Find the future value for the ordinary annuity with the given payment and interest rate. PMT = $2,000; 1.65% compounded quarterly for 11 years. The future value of the ordinary annuity is $ (Do not round until the final answer. Then round to the nearest cent as needed.) example Get more help Q Search 30 Larrow_forwardFind the cdf of a random variable Y whose pdf is given by; 2, 0≤x≤1 1/3, 0≤x≤1 a) f(x)=3, 2≤x≤4 0, elsewhere 2, 1≤x≤2 b) f(x)= (3-x)2, 2≤x≤3 0, elsewherearrow_forwardFor all integers a and b, a + b is not ≡ 0(mod n) if and only if a is not ≡ 0(mod n)a or is not b ≡ 0(mod n). Is conjecture true or false?why?arrow_forward
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