SOLUTION: a) Graph the equations y=-x^2+3x+8 & y=2x+6 (find suitable coordinates to plot) b) Use the graph to find simultaneous solutions for these equations (indicate location of the solut

Algebra ->  Linear-equations -> SOLUTION: a) Graph the equations y=-x^2+3x+8 & y=2x+6 (find suitable coordinates to plot) b) Use the graph to find simultaneous solutions for these equations (indicate location of the solut      Log On


   

Question 1144640: a) Graph the equations y=-x^2+3x+8 & y=2x+6 (find suitable coordinates to plot)
b) Use the graph to find simultaneous solutions for these equations (indicate location of the solution on the graph)
c) Verify your answer in part b) by finding the x-coordinates using the Quadratic Formula i.e. solve the equations simultaneously by substitution
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Where they intersection, -x%5E2%2B3x%2B8=2x%2B6
-x%5E2%2Bx%2B2=0
x%5E2-x-2=0
%28x%2B1%29%28x-2%29=0
At x=-1 and x=2.

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y=2%28-1%29%2B6=-2%2B6=4
point (-1,4)
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and
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y=2%2A2%2B6=10
point (2,10)
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graph%28400%2C400%2C-6%2C12%2C-6%2C12%2C-x%5E2%2B3x%2B8%2C2x%2B6%29