course mth163 I hope I have done this right!! G??????k???G?assignment #001
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01:03:43 `q001. Note that this assignment has 10 questions Solve the following system of simultaneous linear equations: 3a + 3b = 9 6a + 5b = 16.
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RESPONSE --> -2(3a+3b=9) 6a+5b=16 -6b= -18 5b= 16 b=2 or b= -2 confidence assessment: 2
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01:09:01 `q002. Solve the following system of simultaneous linear equations using the method of elimination: 4a + 5b = 18 6a + 9b = 30.
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RESPONSE --> 3(4a+5b=18) -2(6a+9b=30) 12a+15b=54 -12a-18b= -60 -3b/3= -6/3 b=2 or b= -2 confidence assessment: 2
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01:13:34 `q003. If y = 5x + 8, then for what value of x will we have y = 13?
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RESPONSE --> y=5x+8 13=5x+8 13-8=5x 5=5x x=1 confidence assessment: 3
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01:17:17 `q004. Sketch a set of coordinate axes representing y vs. x, with y on the vertical axis and x on the horizontal axis, and plot the points (1, -2), (3, 5) and (7, 8). Sketch a smooth curve passing through these three points. On your curve, what are the y coordinates corresponding to x coordinates 1, 3, 5 and 7? Estimate these coordinates as accurately as you can from your graph. Retain your sketch for use in future assignments.
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RESPONSE --> x=1 y= about -2 x=3 y= about 5 x=5 y= about 6 x=7 y= about 8 confidence assessment: 1
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01:25:16 `q005. Using your sketch from the preceding exercise, estimate the x coordinates corresponding to y coordinates 1, 3, 5 and 7. Also estimate the x values at which y is 0.
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RESPONSE --> y=1 x=1.5 y=3 x=2.5 y=5 x=3 y=7 x=4 confidence assessment: 2
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01:36:25 The easiest way to estimate your points would be to make horizontal lines on your graph at y = 1, 3, 5 and 7. You would easily locate the points were these lines intersect your graph, then estimate the x coordinates of these points. For the actual parabola passing through the given points, y will be 1 when x = 1.7 (and also, if your graph extended that far, near x = 10).
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RESPONSE --> y = 3 near x = 2.3 (and near x = 9.3). y = 5 at the given point (3, 5), where x = 3. y = 7 near x = 4 (and also near x = 7.7). self critique assessment:
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01:43:17 `q006. Suppose the graph you used in the preceding two exercises represents the profit y on an item, with profit given in cents, when the selling price is x, with selling price in dollars. According to your graph what would be the profit if the item is sold for 4 dollars? What selling price would result in a profit of 7 cents? Why is this graph not a realistic model of profit vs. selling price?
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RESPONSE --> six cents six dollars The cents vs. dollars on the graph isn't realistic confidence assessment: 1
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01:48:21 `q007. On another set of coordinate axes, plot the points (-3, 4) and (5, -2). Sketch a straight line through these points. We will obtain an approximate equation for this line: First substitute the x and y coordinates of the first point into the form y = m x + b. What equation do you obtain?
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RESPONSE --> y=mx+b x=3 y=4 -3m+b=4 confidence assessment: 3
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01:51:12 `q008. Substitute the coordinates of the point (5, -2) into the form y = m x + b. What equation do you get?
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RESPONSE --> y= mx+b x=5 x= -2 -2 = -5m+b confidence assessment: 3
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01:55:28 `q009. You have obtained the equations -3 m + b = 4 and 5 m + b = -2. Use the method of elimination to solve these simultaneous equations for m and b.
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RESPONSE --> 5(-3m+b=4) 3(5m+b=-2) -15m+5b=20 15m+3b= -6 8b/8 = 14/8 b=1.75 b= -1.75 confidence assessment: 1
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01:59:32 `q010. Substitute your solutions b = 7/4 and m = -3/4 into the original form y = m x + b. What equation do you obtain? What is the significance of this equation?
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RESPONSE --> -3(-3/4)+(7/4)=4 5(-3/4)+(7/4)= -2 This was the main equation, and with the correct m and b, I can double check my answer confidence assessment: 2
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