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MACM 101 Lecture 7: Lecture 7

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coffeetrout238
13 Aug 2016
School
Simon Fraser University
Department
Math & Comp Sci
Course
MACM 101
Professor
Brad Bart

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Document Summary

Monty hall offers you a choice of 3 doors. One contains a prize, but the other two contain nothing. After choosing your door, monty reveals a door which does not contain the prize and then offers to let you switch doors. Solution: the probability you selected the correct door initially is 1/3 so p(wrong door) = 2/3. Case a (1 in 3): the prize is behind door #1. in this case, you do best to keep the door. Case b (2 in 3): the prize is not behind door #1. the best strategy is to switch doors. Definition: a proposition is a statement that is either true or false, but not both. The truth value is one of true or false, which is denoted by 1 or 0 in grimaldi and perhaps t or f in other texts. Give examples of statements which are not propositions. Come here! x + y = 15 [predicate]

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Related Questions

For the best rating please complete by answering all thequestions in one post so I could rate you once you post.

Answers must be correct in order to get best rating.


1. Factor out the GCF from thepolynomial.
20m^9 + 6m^7 + 20m^5
2(10m^9 + 3m^7 +10m^5)
No common factor
m^5 (20m^4 + 6m^2 +20)
2m^5 (10m^4 + 3m^2 +10)


2. Find the solution to the system by addition(elimination) method.
4x + 15y = 15
8x - 3y = -3
(1, 0)
(0, 0)
(0, 1)
(1, 1)


3. (11p + 4)(11p - 4)
p^2 - 16
121p^2 + 88p - 16
121p^2 - 16
121p^2 - 88p -16


4. Find the solution to the system by addition(elimination) method.
2x + 15y = -91
9x + 5y = 28
(-5, 7)
(7, -7)
(9, -9)
(-7, 7)


5. Factor by grouping.
18x^3 + 15x^2 + 12x + 10
(3x^2 + 2)(6x + 5)
(18x^2 - 2)(x - 5)
(3x^2 - 2)(6x - 5)
x(18x + 2)(x +5)


6. (x + 3y)(x + 5y)
x^2 + 5xy + 15y^2
x^2 + 8xy + 8y^2
x^2 + 8xy + 15y^2
x + 8xy + 15y


7. 6x^7 (9x^7 + 12x^2 - 7)
54x^7 + 72x^2 - 42
54x^14 + 72x^9
54x^14 + 72x^9 -42x^7
54x^14 + 12x^2 -7


8. 15x^2 - 12x + 10x - 8
(15x + 2)(x - 4)
(15x - 2)(x + 4)
(3x - 2)(5x + 4)
(3x + 2)(5x -4)


9. For the polynomial, state the degree andwhether or not the polynomial is a monomial, a binomial, or atrinomial.
5x^3y^4 - 8x^5y^6 + 8
Binomial, degree 7
Trinomial, degree 3
Trinomial, degree18
Trinomial, degree11


10. (3x^8 + 2x^7 - 4x^6 + 8) + (7x^8 - 4x^7 +8x^6 + 1)
10x^8 - 2x^7 + 4x^6 +9
12x^42 + 9
10x^26 - 2x^14 + 4x^12 +9
4x^8 + 4x^7 + 4x^6 +9


11. (2n^5 - 3n^3 - 6) - (5n^5 - 14n^3 -3)
-3n^5 + 2n^3 - 9
-3n^5 + 11n^3 - 3
5n^8
-3n^5 + 11n^3 -9


12. Use the substitution method to solve thesystem.
x - 4y = -13
7x - 5y = -22
(1, 4)
(-2, 4)
(-1, 3)
No solution


13. Use the substitution method to solve thesystem.
8x - 6y = 32
2x - 2y = 8
(3, 1)
(4, 1)
(4, 0)
No solution


14. Terms in a polynomial are separated byaddition or subtraction.
True
False


15. A polynomial is an algebraic expression ofone or more terms.
True
False


16. A solution of two linear equations in twovariables is an ordered pair that is a solution to eachequation.
True
False


17. The greatest common factor will always begreater than the largest factor of each term of theexpression.
True
False


18. A system of equations in two variables mayhave infinite solutions.
True
False


19. When two or more algebraic expressions aremultiplied, each expression is called a term.
True
False


20. Factoring is multiplication inreverse.
True
False

DIFFERENTIAL EQUATIONS

​Hello, after lots of time looking over these questions, I am still not quite grasping numbers 1-6. If I could get some assistance it would be much appreciated, thank you.