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What are the solutions of the system? y=x^2-4.9x+4.4 y=1.1x-4.6 A. (–3, –7.9) and (3, –1.3) B. (3, –1.3) C. (–1.3, 3) D. no solution
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I used the graphing calculator to show the Parabola and straight line. This is the EASY way out rather than solve algebraically. By inspection( looking for intersection of Parabola and straight line on graph) the answer is B (3, -1.3)|dw:1336467492080:dw|
http://go.hrw.com/math/midma/gradecontent/manipulatives/GraphCalc/graphCalc.html
The algebraic way is easy, the reason being that substituting for y gives a quadratic that can be solved by inspection: \[x ^{2}-6x+9=0\] \[(x-3)(x-3)=0\] x = 3 and by substitution y = -1.3
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