course Mth 173 I hope I completed the correct assignment correctly. This is my first time using the online program. Also, I am not sure if there was a fifth question, but I did follow the link and look at the typewriter examples. ̣yȝ|hE{|assignment #001
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16:39:45 `q001. Explain the difference between x - 2 / x + 4 and (x - 2) / (x + 4). The evaluate each expression for x = 2.
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RESPONSE --> x - 2 / x + 4: The first step in evaluating this expression is 2 / x, where as the first step in (x - 2) / (x + 4) would be to evaluate the expressions in the parenthesis. In short, the difference is: since the second expression has two expressions, x -2 and x + 4, inside parenthesis, then they will be executed first. For both expressions: For x - 2 / x + 4: 2 - 2 / 2 + 4 = 5. For (x - 2) / (x + 4): (2 - 2) / (2 + 4) = 0 confidence assessment: 3
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17:19:33 `q002. Explain the difference between 2 ^ x + 4 and 2 ^ (x + 4). Then evaluate each expression for x = 2. Note that a ^ b means to raise a to the b power. This process is called exponentiation, and the ^ symbol is used on most calculators, and in most computer algebra systems, to represent exponentiation.
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RESPONSE --> 2 ^ x + 4 is different than 2 ^ (x + 4) because the parenthesis around x + 4 make it first in the order of operations. In the first expression, 2 ^ x is the first in the order of operations. 2 ^ 2 + 4 = 8 2 ^ (2 + 4) = 64 confidence assessment: 3
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17:33:47 `q003. What is the numerator of the fraction in the expression x - 3 / [ (2x-5)^2 * 3x + 1 ] - 2 + 7x? What is the denominator? What do you get when you evaluate the expression for x = 2?
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RESPONSE --> The numerator in the expression x - 3 / [(2x-5)^2 * 3x + 1] - 2 + 7x is x - 3 The denominator is [ (2x-5)^2 * 3x + 1 ] - 2 + 7x 2 - 3 = 1 (2*2-5) = -1 -1^2 = 1 1*3*2 + 1 = 7 7-2+7*2 = 19 1/19 confidence assessment: 2
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17:42:10 `q004. Explain, step by step, how you evaluate the expression (x - 5) ^ 2x-1 + 3 / x-2 for x = 4.
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RESPONSE --> First: Insert 4 for all of the x's. (4 - 5) ^ 2*4-1 + 3 / 4-2 Second: Clear any parenthesis. (4-5) = -1 Third: Evaluate any radicals or exponents. -1^2 = 1 Fourth: Multiply and divide (left to right). 1*4 = 4; 3/4 = .75 Fifth: Add and subtract (left to right). 4-1+.75-2 = 1.75 confidence assessment: 3
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" x is not part of the numerator on question 3; the correct answer is 95/7 or 13 3/7. You appear to understand the order of operations well; that is the only error I see. However your file should include the given solutions and any necessary self-critiques. No need to repeat the exercise but:
You then start the process over with the next question, clicking on the Next Question/Solution button at top left, etc.