course Mth 158 Is that how you wish me to Title my work? For example: Assignment 1: Section R.1 to be titled Assignment1 R1. ?????????s?V?|i?
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19:53:11 R.1.14 (was R.1.6) Of the numbers in the set {-sqrt(2), pi + sqrt(2), 1 / 2 + 10.3} which are counting numbers, which are rational numbers, which are irrational numbers and which are real numbers?
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RESPONSE --> Counting numbers are none. Rational numbers are {1/2 +10.3} Irrational numbers are {-sqrt(2), pi + sqrt(2)} Real numbers are all {-sqrt(2), pi + sqrt(2), 1/2 + 10.3} confidence assessment: 3
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19:53:59 R.1.32 (was R.1.24) Write in symbols: The product of 2 and x is the product of 4 and 6
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RESPONSE --> OK confidence assessment: 3
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19:55:35 ** The product of 2 and x is 2 * x and the product of 4 and 6 iw 4 * 6. To say that these are identical is to say that 2*x=4*6. **
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RESPONSE --> True self critique assessment: 2
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19:59:43 R.1.50 (was R.1.42) Explain how you evaluate the expression 2 - 5 * 4 - [ 6 * ( 3 - 4) ]
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RESPONSE --> PEMDAS 2-5*4-[6*(3-4)]= 2-5*4-[6*(-1)]= 2-5*4-[-6]= 2-20-[-6]= -12 confidence assessment: 2
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20:00:40 **Starting with 2-5*4-[6*(3-4)]. First you evaluate the innermost group to get 2-5*4-[6*-1] . Then multiply inside brackets to get 2-5*4+6. Then do the multiplication to get 2-20+6. Then add and subtract in order, obtaining -12. **
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RESPONSE --> OK So was I to define the explaination likewise the program? self critique assessment: 3
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20:08:34 ** COMMON ERROR: Using FOIL. FOIL is not the Distributive Law. FOIL works for binomial expressions. FOIL follows from the distributive law but is of extremely limited usefulness and the instructor does not recommend relying on FOIL. Starting with (x-2)(x-4) ; one application of the Distributive Property gives you x(x-4) - 2(x-4) . Applying the property to both of the other terms we get x^2 - 4x - (2x -8). Simplifying: x^2 - 4x - 2x + 8 or x^2 - 6x + 8. *
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RESPONSE --> (x-2)(x-4) First you distribute the x in (x-2) to the x and 4 in (x-4) by multiplying x(x-4) giving you x^2-4x. Then you distribute the 2 in (x-2) to the x and 4 in (x-4) by multiplying 2(x-4) giving you 2x-8. In which you combine like terms, giving you x^2-4x-2x+8, simplifying: x^2-6x+8 self critique assessment: 3
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20:15:52 R.1.86 (was R.1.78) Explain why (4+3) / (2+5) is not equal to 4/2 + 3/5.
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RESPONSE --> (4+3) / (2+5) First you do what is in parentheses first which gives you 7/10, which is not equal to; 4/2 + 3\5, because you have to find the lowest common denominator of the two fractions before you can proceed to add the two fractions. In which gives you (4/2)(5/5)=20/10 (3/5)(2/2)=6/10 20/10 + 6/10 20+6/10 26/10 simplifies: 13/5 confidence assessment: 3
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20:16:33 ** Good answer but at an even more fundamental level it comes down to order of operations. (4+3)/(2+5) means 7/7 which is equal to 1. By order of operations, in which multiplications and divisions precede additions and subtractions, 4/2+3/5 means (4/2) + (3/5), which gives us 2+3/5 = 2 3/5 **
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RESPONSE --> OK self critique assessment: 2
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20:17:11 Add comments on any surprises or insights you experienced as a result of this assignment.
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RESPONSE --> I'm glad that I am understanding this program! confidence assessment: 3
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