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1) By looking at two linear equations, how can you tell that the corresponding lines are parallel, intersecting, or the same line? Please give example.
2) Is there a basic difference between solving a system of equations by the algebraic method and the graphical method? Why?
3) Give an example of a system of equations that you use in your profession.
Evaluate the Area of under one arch of a cycloid using its integration
she suggests building fences described by y=4x2 and y=x2+5. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants to please his wife. What is the area of the enclosed region?
in triangle MNO, angle M is equal to angle N, and angle O is 5 more than three times angle N. what is the measure of each angle?
Two trains leave stations 448 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
At a certain time, the temp is maintained constant, the P=100ln/in^2 and is increasing at 4 lb/in ^2. At what rate is the volume changing when it is 60 in^3?
Find the Upper and Lower Darboux Sums given F(x) = 5 - 3x on [0,2] and partition P = {tsub0 = 0, tsub1 = 2/n, tsub2 = 4/n, and tsub3 = 2}
The front of the stage is 75 feet from the back wall and is 30 feet from the point where the side walls meet behind the stage. How much area is available for seating in the concert hall?
Explain Pat paid 1/3 of his debt one year and 1/4 of his debt the second year. At the end of the year, how much of his debt remained?
Sketch the Graph of y = cosx in the range -Pi
A student finds the slope of the line between (14, 1) and (18, 17). She writes alg1.unit test.06.16. What mistake did she make?
Find the dimensions of the box with maximum possible volume that can be sent through the service, assuming that the width and height of the box are equal.
a banker invested a portion of $10,000 at 5% interest per year and the remainder at 4% interest per year. if the baker received $470 in interest after 1 year, how much was invested at each rate?
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