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course MTH 271
I made a graph on Microsoft Word but when I copied and pasted the document it did not show up. I am not sure how to other wise submit the graph.
Question: `q001. If you are earning money at the rate of 8 dollars / hour and work for 4 hours, how much money do you make during this time? Answer in such a way as to explain your reasoning as fully as possible. A solution to this problem appears several lines below, but enter your own solution before you look at the given solution. YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
To find how much money they make you take $8 * 4 hours = $32
confidence rating #$&*:
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q002. If you work 12 hours and earn $168, then at what rate, in dollars / hour, were you making money?
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Your solution:
To find the rate of pay you divide $168 by 12 hours = $14 per hour
confidence rating #$&*:
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q003. If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result.
Solution: If you are earning $8/hour and you earn $72, to find out how many hours were work you divide $72 by $8 = 9 hours
confidence rating #$&*: 3
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q004. Calculate (8 + 3) * 5 and 8 + 3 * 5, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.
Solution: The first equation (8+3)*5, according to order of operations you do parenthesis first. So we add 8+3=11 then multiply by 5 which equals 55. The second equation 8+3*5, since there is no parenthesis we multiply first. So 3*5=15 then we add 8 which equals 23.
confidence rating #$&*: 3
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
Solution: (2^4)*3 we begin in the parenthesis and 2^4=16 then multiply by 3 = 48. 2^(4*3) again we begin in the parenthesis 4*3= 12 then we do 2^12 which equals 4096.
confidence rating #$&*: 3
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q006. Calculate 3 * 5 - 4 * 3 ^ 2 and 3 * 5 - (4 * 3)^2 according to the standard order of operations, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.
Solution: First we do the exponents so 3^2 = 9 then we do multiplication so 3 * 5 - 4 * 9 = 15-36 = -21. Next, 3 * 5 - (4 * 3)^2 we do parenthesis first 4*3 = 12. Then square 12 which equals 144. Then multiply 3*5 = 15. The equation is now 15-144 = -129
confidence rating #$&*: 3
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q007. Let y = 2 x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values -1, 0, 1 and 2. Write out a copy of the table below. In your solution give the y values you obtained in your table.
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Your Solution:
Y= 2(-2)+3
Y= -1
X Y
-1 1
0 3
1 5
2 7
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Your Solution:
I chose a linear graph. It best depicts the x vs y coordinates. (I do not know how to draw a line to connect the dots on Microsoft Word)
confidence rating #$&*:
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q008. Let y = x^2 + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values -1, 0, 1 and 2. Write out a copy of the table below. In your solution give the y values you obtained in your table.
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Your Solution:
X Y
-2 7
-1 4
0 3
1 4
2 7
This graph is a parabola. It is best used for x2 equations.
confidence rating #$&*:
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q009. Let y = 2 ^ x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = 1. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values 2, 3 and 4. Write out a copy of the table below. In your solution give the y values you obtained in your table.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your Solution:
X Y
1 5
2 7
3 11
4 19
This particular graph is called an exponential graph. Since X is in the exponent position in the equation it gives the graph this unique curve.
confidence rating #$&*:
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q010. If you divide a certain positive number by 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution:
The solution will always be equal to the original number.
confidence rating #$&*:
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q011. If you divide a certain positive number by a number greater than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution:
It all depends how large the numerator is and how large or small the denominator is. Lets say you have 24/2 = 12. 12 is obviously larger than 2 but smaller than 24. If we take 24/8 = 3. Than the 3 is smaller than the denominator and numerator.
confidence rating #$&*:
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Self-Critique: okay
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Self-Critique Rating: okay
####- 2; I understand the concept of the question, but trying to figure out how to explain the response to the question is what sets me back.
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Question: `q012. If you divide a certain positive number by a positive number less than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution:
If we take 12/0.75 = 16. In this case the answer is larger than the numerator and denominator both. If we divide a positive number by a positive number less than 1 the result will be bigger than both the denominator and numerator.
confidence rating #$&*:
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Self-Critique: okay
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Self-Critique Rating: okay
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Question: `q013. Students often get the basic answers to nearly all, or even all these questions, correct. Your instructor has however never seen anyone who addressed all the subtleties in the given solutions in their self-critiques, and it is very common for a student to have given no self-critiques. It is very likely that there is something in the given solutions that is not expressed in your solution.
This doesn't mean that you did a bad job. If you got most of the 'answers' right, you did fine.
However, in order to better understand the process, you are asked here to go back and find something in one of the given solutions that you did not address in your solution, and insert a self-critique. You should choose something that isn't trivial to you--something you're not 100% sure you understand.
If you can't find anything, you can indicate this below, and the instructor will point out something and request a response (the instructor will select something reasonable, but will then expect a very good and complete response). However it will probably be less work for you if you find something yourself.
Your response should be inserted at the appropriate place in this document, and should be indicated by preceding it with ####.
As an answer to this question, include a copy of whatever you inserted above, or an indication that you can't find anything.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
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Question: `q011. If you divide a certain positive number by a number greater than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
It all depends how large the numerator is and how large or small the denominator is. Lets say you have 24/2 = 12. 12 is obviously larger than 2 but smaller than 24. If we take 24/8 = 3. Than the 3 is smaller than the denominator and numerator.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: okay
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Self-Critique Rating: okay
####- 2; I understand the concept of the question, but trying to figure out how to explain the response to the question is what sets me back.
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Self-critique (if necessary):
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Self-critique rating:
####- 2; I understand the concept of the question, but trying to figure out how to explain the response to the question is what sets me back.
"
Self-critique (if necessary):
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Self-critique rating:
#*&!
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`` Documents are to be submitted by inserting your responses into the original.Nothing from the original document is to be deleted.
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