course Mth163
1/12 12:10am
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.YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution starting in the next line)
72/8=9 you will have to work 9 hours to earn 72.00
confidence rating:
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Self-Critique: OK
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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.
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Your solution: (type in your solution starting in the next line)
(8+3)*5=11*5=55
8+3*5=8+15=23
Always do the operation in parenthesis first
confidence rating:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
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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.
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Your solution:
(2^4)*3=(2*2*2*2)*3=16*3=48
2^(4*3)=2^12=2*2*2*2*2*2*2*2*2*2*2*2=4096
Always do what is in parenthesis first
confidence rating:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
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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.
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Your solution:
3*5-4*3^2=15-4*3*3=15-4*9 =15-36= -21
3*5-(4*3)^2=15-12*12=15-144= -129
Follow Order of operations and remember to do the operation in the parenthesis first.
confidence rating:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
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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.
x y
-2
-1
0
1
2
• In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
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Your solution: x y
Y=2*-2+3= -1 -2 -1
Y=2*-1+3=+1 -1 +1
Y=2*0+3=3 0 3
Y=2*1+3=5 1 5
Y=2*2+3=7 2 7
I am very confused by the graph chosen, when I tried to graph the table It didn’t really work.
confidence rating:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self Critique: 1
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.
x y
-2 7
-1 4
0 3
1 4
2 7
Y=-2^2+3=-2*-2+3=-4+3=7
Y=2^-1+3=-1*-1+3=4
Y=0^2+3=0*0+3=3
Y=1^2+3=1*1+3=4
Y=2^2+3=2*2+3=7
The graph would be linear.
confidence rating:
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Self-Critique: I still am not sure about the description of the graph.
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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.
x y
1 5
2 7
3 11
4 19
Y=2^1+3=2*1+3=5
Y=2^2+3=2*2+3=7
Y=2^3+3=2*2*2+3=11
Y=2^4+3=2*2*2*2+3=19
confidence rating:
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Self-Critique: Still having trouble figuring out which graph and how to arrive at the correct one.
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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 answer is the original number because if you divide any number by one it stays the same. Example 2/1=2
confidence rating:
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Self-Critique: OK
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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:
Less than the original number because you are reducing the number times the number you are dividing it by.
confidence rating:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
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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:
The number will be greater. Example 20\.5=40 60/.3=180
confidence rating:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
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You had a couple of questions. In order to answer the questions, I need to see the given solution. This is not because I don't know the answers, but because I have to see what information you already have, and what you do and do not understand about it. Then I can consider what to add to that information to help you better understand.
Please feel free to submit any question on which you are unsure of the given solution, along with the given solution and your self-critique. With that information, I'll be able to respond in the manner that will be most beneficial to you.