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Carrie has 150 meters of fencing material to make a pen for her bird dog. She wants to form a rectangular pen with an area of 800 square meters. What will be the dimensions of her pen?
a. Let x be the width of the field and y be its length. Write a system of equations that models this situation.
b. How many solutions are possible for this type of system?
c. Graph the system to estimate the dimensions of the pen.
d. Solve this system algebraically, rounding the dimensions to the nearest tenth of a meter
Compare the poles obtained in parts (b) and (c) with those in part (a). Which realization is better? Sketch the frequency responses of the systems in parts (a), (b), and (c)
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