Mathematics
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OpenStudy (anonymous):
g(t)= -t^2 - 2t
h(t)= 3t-3
Find (g-h)(t+2)
i just need to see if my answer is correct.
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OpenStudy (anonymous):
@jim_thompson5910 thia one is really challenging.
OpenStudy (anonymous):
this*
jimthompson5910 (jim_thompson5910):
hint:
(g-h)(t+2)
is the same as
g(t+2) - h(t+2)
OpenStudy (anonymous):
I know but the algebra sometimes trips me up. my final answer came out to t^2-9t-9 but i have a feeling i messed up somewhere along the line
jimthompson5910 (jim_thompson5910):
that's pretty close, but not quite correct
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OpenStudy (anonymous):
ahh darn
jimthompson5910 (jim_thompson5910):
g(t)= -t^2 - 2t
g(t+2)= -(t+2)^2 - 2(t+2)
g(t+2)= -(t^2+4t+4) - 2(t+2)
g(t+2)= -t^2-4t-4 - 2t-4
g(t+2)= -t^2-6t-8
---------------------------------
h(t)= 3t-3
h(t+2)= 3(t+2)-3
h(t+2)= 3t+6-3
h(t+2)= 3t+3
===========================
(g-h)(t+2)
g(t+2) - h(t+2)
(-t^2-6t-8) - (3t+3)
I'll let you finish
OpenStudy (anonymous):
whew is it -t^2 -9t-5
jimthompson5910 (jim_thompson5910):
close, but - (3t+3) becomes - 3t-3
jimthompson5910 (jim_thompson5910):
NOT -3t + 3
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OpenStudy (anonymous):
oh so is it -t^2 -3t -5 ?
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
(-t^2-6t-8) - (3t+3)
-t^2-6t-8 - 3t-3
jimthompson5910 (jim_thompson5910):
keep going
OpenStudy (anonymous):
let's try again. -t^2-9t-11 or -t^2-3t-11
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jimthompson5910 (jim_thompson5910):
-6 - 3 = ??
OpenStudy (anonymous):
-9
jimthompson5910 (jim_thompson5910):
so -6t - 3t = -9t
jimthompson5910 (jim_thompson5910):
it's the first one
OpenStudy (anonymous):
thanks so so so so so much for bearing with me and not stabbing your eyes out.
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jimthompson5910 (jim_thompson5910):
lol i like my eyes, so I wouldn't do that, but yw