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OpenStudy (anonymous):
help, please.
Let f(x) = 2x2 – 2x + 7 and g(x) = x2 + 9x – 6. Find f(x) – g(x).
x2 – 11x + 13
x2 – 11x + 1
x2 + 7x + 1
x2 + 7x + 13
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jimthompson5910 (jim_thompson5910):
f(x) – g(x) = (2x^2 – 2x + 7) - (x^2 + 9x – 6)
f(x) – g(x) = 2x^2 – 2x + 7 - x^2 - 9x + 6
f(x) – g(x) = ???
OpenStudy (anonymous):
C?
jimthompson5910 (jim_thompson5910):
2x^2 - x^2 is what
jimthompson5910 (jim_thompson5910):
this is the part where you jump in dreamer05 (don't worry if you're wrong)
OpenStudy (rulnick):
f(x)-g(x) = (2x2 -2x + 7) - (x2 + 9x - 6)
= (2x2 - x2) + (-2x - 9x) + (7 + 6)
= x2 - ... (do you see it?)
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OpenStudy (anonymous):
Well i was thinking. 3x^2 but I know thats wrong..
jimthompson5910 (jim_thompson5910):
2x^2 -x^2 is really the same as 2x^2 - 1x^2
OpenStudy (anonymous):
So x^2
?
jimthompson5910 (jim_thompson5910):
to combine 2x^2 - 1x^2 you subtract the coefficients
so....
2-1 = 1
which means
2x^2 - 1x^2 = 1x^2 or just x^2
jimthompson5910 (jim_thompson5910):
correct
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OpenStudy (anonymous):
So its not C?
jimthompson5910 (jim_thompson5910):
for the x terms
-2x - 9x = -11x
because -2 - 9 = -11 (all you focus on are the coefficients)
OpenStudy (anonymous):
B? Makes since to me.
jimthompson5910 (jim_thompson5910):
you have to look at the whole picture
jimthompson5910 (jim_thompson5910):
the constants are 7 and 6, they add to ???
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OpenStudy (anonymous):
13
jimthompson5910 (jim_thompson5910):
so to sum things up
f(x) – g(x) = (2x^2 – 2x + 7) - (x^2 + 9x – 6)
f(x) – g(x) = 2x^2 – 2x + 7 - x^2 - 9x + 6
f(x) – g(x) = (2x^2 - 1x^2) + (-2x - 9x) + (7 + 6)
f(x) – g(x) = (1x^2) + (-11x) + (13)
f(x) – g(x) = x^2 - 11x + 13
OpenStudy (anonymous):
Okay I seee. Thank you.
jimthompson5910 (jim_thompson5910):
yw
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