course Mth 271
08/24/09 7:27p.m.
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 divided by 8 = 9 hours CA=3 SG=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)
you have to do parenthesis first they muliply and add
so the answer would be as follows
(8 + 3) * 5 and 8 + 3 * 5,
11*5 and 8 +15
55 and 23
CA= 3
SG= OK
I think this is a process that was laid out in the seventh grade where we did parenthesis first then multiplied and divided then add and subtract. Hence the one with parenthesis would be much greater than the one without.
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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:
patenthese first then multiply
(2*2*2*2)*3 = 16*3 = 48
and
2^(12)
2*2*2*2*2*2*2*2*2*2*2*2 = 4096
CA=3
SG=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:
exponents frist the multiply and subtract last
3*5-4*9
15-36= -21
parenthesis the exponents then multiply the subtract
3*5-144
15-144= -129
CA=3
SG=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
-1 1
0 3
1 5
2 7
it is a straight diagnal line
Linear
CA=3
SG=ok
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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.
x y
-2 7
-1 4
0 3
1 4
2 7
The graph is a quadradic looks like a bowl
CA=3
SG=ok
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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
The graph shows as an exponential graph as the x goes out the y goes up increasinly faster
CA=3
SG=ok
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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:
anything divided by 1 is equal to itself
CA=3
SG=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 no matter what you divided a number by the original number will always be greater
CA=3
SG=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 only positive number less than 1 would be fractions of one. So there for if you divide 4 by 1/2 you would get 8.
The number would always be greater
CA=3
SG=OK
Good. On future assignments be sure to include the entire document, per my note on the preceding posting.