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Olin [163]
3 years ago
10

What is the equation of the quadratic function that has x intercepts of -2 and 9?

Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Answer:

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18

Step-by-step explanation:

If the x-intercepts are -2 and 9, then the factors of this quadratic are (x + 2) and (x - 9).  Multiplying these two factors together, we get:

f(x) = (x - 9)(x + 2) = x^2 - 9x + 2x -18, or

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18

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irina1246 [14]

Answer:

A=5,B=9\\\\or\ A=-9,B=-5

Step-by-step explanation:

A(3-x)=-2x+B\\\\Given\ x=2\\\\Substitute\ the\ value\ of\ x\\\\A(3-2)=-2\times 2+B\\\\A=-4+B\\\\A=B-4\\\\So\ the\ value\ of\ A\ is\ 4\ less\ than\ the\ value\ of\ B.\\\\When\ B=9\Rightarrow A=9-4=5\\\\When\ B=-5\Rightarrow B=-5-4=-9\\\\Hence\ A=5,B=9\\\\or\ A=-9,B=-5

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