Matthew Mentrup
AMTH 174
HW6
Due Time: 1:45 PM, April 12, 2016
1.
b) What is the third column of A?
1
4
3
c) What is the second row of A?
2
0 4 6
d) What is the element A in the (3, 2) th position?
4
e) What is At?
1
2 1
1
0 1
1
4 3
3
6 7
2.
(a)
0
3 9
1
4
Counting
Chapter 6
With Question/Answer
Animations
Chapter Summary
The Product Rule
Permutations and Combinations
The Basics of Counting
Section 6.1
Basic Counting Principles: The Product
Rule
The Product Rule: A procedure can be
broken down into a sequen
Sets and Set Operations
Chapter Summary
Sets
The Language of Sets
Set Operations
Set Identities
Sets
Section 2.1
Section Summary
Definition of sets
Describing Sets
Roster Method
Set-Builder Notation
Some Important Sets in Mathematics
Empty Set and Univers
Kevin Tam
AMATH 174
HW5
Due time: 1:45 PM, April 5, 2016
1.
Show that if a | b and b | a, where a and b are integers, then a = b or a = -b.
If a|b, b|a, then a = b or a = -b
a|b; there exists an integer s at b = s*a also a != 0
there exists an integer t s
The Pigeonhole Principle
Section 6.2
Section Summary
The Pigeonhole Principle
The Generalized Pigeonhole Principle
The Pigeonhole Principle
If a flock of 20 pigeons roosts in a set of 19 pigeonholes, one of
the pigeonholes must have more than 1 pigeon.
Pi
Propositional Logic Summary
The Language of Propositions
Connectives
Truth Values
Truth Tables
Logical Equivalences
Important Equivalences
Showing Equivalence
Propositional Logic
Section 1.1
Section Summary
Propositions
Connectives
Negation
Conjunction
Di
Kevin Tam
AMTH 174
HW6
Due Time: 1:45 PM, April 12, 2016
1.
b) What is the third column of A?
1
4
3
c) What is the second row of A?
2
0 4 6
d) What is the element A in the (3, 2) th position?
4
e) What is At?
1
2 1
1
0 1
1
4 3
3
6 7
2.
(a)
0
3 9
1
4 -1
2
Matthew Mentrup
AMATH 174
HW5
Due time: 1:45 PM, April 5, 2016
1.
Show that if a | b and b | a, where a and b are integers, then a = b or a = -b.
If a|b, b|a, then a = b or a = -b
a|b; there exists an integer s at b = s*a also a != 0
there exists an integ
Exercise
Week Four Concept Check
Post your 50-word response to the following question:
Explain in your own words why the line x = 4 is a vertical line.
Line X=4 is a vertical line because the valve of y is not revealed, which leaves me to believe that
Y c
Associate Level Material
Appendix E
Fueling Up
Motorists often complain about rising gas prices. Some motorists purchase fuel-efficient vehicles and
participate in trip reduction plans, such as carpooling and using alternative transportation. Other driver
Week Six Concept Check
This is as simple as pie. When 2 lines meet at a 90 degree angle we can truly consider them to be
perpendicular lines. I use to have a hard time with these back in grade school and this as always
remained fresh in mind while somethi
A Bracket ([) suggest that we include the left side, while (]) suggest that we should include the
right side. Square brackets are great indication that the interval includes specific both start and
end point. This particular interval leads me to believe t
Associate Level Material
Appendix F
Buying a Home
For most people, buying a house is a great investment that can offer security in an uncertain world, but
buying a house is also a commitment.
Application Practice
Answer the following questions. Use Equati
Associate Level Material
Appendix C
Starting a Business
Starting your own business can be exciting and daunting at the same time. Businesses use math when
managing finances, determining production levels, designing products and packaging, and monitoring
l
Post your 50-word response to the following questions:
How do you know when an equation has an infinite number of solutions?
How do you know when an equation has no solution?
I have spent a great of deal of my night trying to figure out what how to answer
Week Two Concept Check
Jessica Thibodeaux
An equation that has an infinite number of solutions can contain any real number. For
example, 10 y= y 10. It does not matter what number you use as y the answer will
still be the same on both sides of the equal s
Axia College Material
Appendix C
Jessica Thibodeaux
Starting a Business
Starting your own business can be exciting and daunting at the same time. Businesses use math when
managing finances, determining production levels, designing products and packaging,
Axia College Material
Appendix D
Landscape Design
Landscape designers often use coordinate geometry and algebra as they help their clients. In many
regions, landscape design is a growing field. With the increasing popularity of do-it-yourself television
s
Concept Check
Jessica Thibodeaux
The line x = 4 is a vertical line on the graph. The reason this is a vertical line is because the y
axis has not been identified or provided. Without both coordinates and a way to find the y axis
you cannot find the slope