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HWLP ME The graph shows the system {y=−x+2y=−x2+x+1 . Which ordered pair is the solution of the system? A. (0, 2) B. (1, 1) C. (1, 2) D. (0, 1)
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Oct 27, 2018
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HWLP ME
The graph shows the system {y=−x+2y=−x2+x+1 .
Which ordered pair is the solution of the system?
A. (0, 2)
B. (1, 1)
C. (1, 2)
D. (0, 1)
Mathematics
high-school
Arcesilas
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Arcesilas
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Answer:
b. (1,1)
Step-by-step explanation:
Anton Melnikov
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Oct 29, 2018
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Anton Melnikov
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The solution(s) will be when the x and y coordinates are equal so we can say y=y or:
-x^2+x+1=-x+2
x^2-2x+1=0 now factor...
(x-1)^2=0
So the solution occurs when x=1, y(1)=-x+2=-1+2=1, so the solution is the point:
(1,1)
Matteo Steccolini
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Oct 31, 2018
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Matteo Steccolini
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