Mathematics
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OpenStudy (anonymous):
Who can help me solve these?? Attaching picture
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OpenStudy (anonymous):
This
OpenStudy (dayakar):
\[1)x ^{2}+6x-11\]
OpenStudy (dayakar):
2)\[-x^{2}-3\]
OpenStudy (dayakar):
are u following
OpenStudy (anonymous):
@dayakar yes
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OpenStudy (dayakar):
3)\[5x^{2}-33x+28\]
OpenStudy (anonymous):
How did you get these answers? When I try to do it, I get weird numbers :/
OpenStudy (misty1212):
HI !
OpenStudy (misty1212):
you should not get numbers, you should get expressions with an \(x\) in them
OpenStudy (dayakar):
\[3x-7+x^{2}+3x-4\]
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OpenStudy (misty1212):
for example \[3x-7-(x^2+3x-4)\] distribute the minus sign\[3x-7-x^2-3x+4\] then combine like terms to get \[-x^2-3\]
OpenStudy (dayakar):
yes,it is
OpenStudy (anonymous):
so confused >.<
OpenStudy (dayakar):
which one
OpenStudy (anonymous):
#3, how'd you get 5x^2-3x+28?? @dayakar
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OpenStudy (anonymous):
Also are they put in the correct way?
f(x) = 3x - 7
g(x) = x^2 + 3x - 4
1.Find (f + g)(x). (3x-7)+(x^2+3x-4)
2. Find (f - g)(x). (3x-7)-(x^2+3x-4)
3. Find (f · g)(x). (3x-7)*(x^2+3x-4)
4. Find (f/g)(x). (3x-7)/(x^2+3x-4)
5. Find (g/f)(x). (x^2+3x-4)/(3x-7)
6. Find (f ◦ g)(x). 3[x^2+3x-4]-7
7. Find (g ◦ f)(x). [3x-7]^2+3[3x-7]4 ????
i feel like #7 is written wrong?
@dayakar @misty1212
OpenStudy (dayakar):
!)(f+g)(x)=f(x)+g(x)
OpenStudy (dayakar):
\[=3x-7+x^{2}+3x-4\]
OpenStudy (anonymous):
@dayakar I know how to set them up for the most part, but figuring oh I solve them is beyond confusing me :/
OpenStudy (anonymous):
okay so i set up #1 right.
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OpenStudy (dayakar):
2)same way u do sutraction,can u do it
OpenStudy (anonymous):
3x-7-x^2+3x-4 ?
OpenStudy (dayakar):
no
OpenStudy (anonymous):
wait.. what? :/
OpenStudy (dayakar):
\[3x-7-x^{2}-3x+4\]
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OpenStudy (anonymous):
why +4?
OpenStudy (dayakar):
multiply with - sign inside the bracket signs
OpenStudy (dayakar):
get it
OpenStudy (dayakar):
what happens are u following
OpenStudy (anonymous):
@dayakar yes sorry i have a baby so it might take me a minute to respond....
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OpenStudy (dayakar):
ok,take ur own time
OpenStudy (anonymous):
@dayakar Okay an yes i get it now
OpenStudy (dayakar):
3)
OpenStudy (anonymous):
3x-7*x^2+3x-4 ?
OpenStudy (dayakar):
\[(3x-7)(x^{2}+3x+4)=3x(x^{2}+3x+4)-7(x^{2}+3x+4)\]
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OpenStudy (dayakar):
sorry ,i typed +4 instead of -4 change it
OpenStudy (dayakar):
r u following
OpenStudy (anonymous):
yes :)
OpenStudy (dayakar):
can u simplify it
OpenStudy (anonymous):
uhh.. i can try... :/ i'm not good at that lol
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OpenStudy (dayakar):
plz, try u can
OpenStudy (anonymous):
ok give me a moment!
OpenStudy (anonymous):
ok so for 3x(x^2+3x-4) i got 4x^3+9x-12
then for -7(x^2+3x-4) i got -7x^2-21x-28
lol.. >.<
OpenStudy (dayakar):
\[3x^{3}+9x^{2}-12x-7x^{2}-21x+28\]
OpenStudy (dayakar):
compare where u did wrong
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OpenStudy (anonymous):
okay i added a number to the 3x^3, i didn't add the exponent to the 9, and i didn't add the x to 12. and i didn't +28 i -28.
OpenStudy (dayakar):
it is not adding , it is multiplying
OpenStudy (dayakar):
can u simplify
OpenStudy (anonymous):
yeah i know i thought thats what i was supposed to do :/
OpenStudy (anonymous):
yeah let me try
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OpenStudy (anonymous):
i got 3x^3-16x^2-9x+28?
OpenStudy (anonymous):
but you said earlier it was 5x^2-3x+28 so what did i do wrong?
OpenStudy (dayakar):
\[3x^{3}+2x^{2}-33x+28\]
OpenStudy (anonymous):
wait how??
OpenStudy (dayakar):
that was a mistake
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OpenStudy (anonymous):
so my final answer is 3x^3+2x^2-33x+28?
OpenStudy (dayakar):
yes
OpenStudy (anonymous):
ok take it one step at a time ok
OpenStudy (anonymous):
@dayakar @samthamathguy okay so how would i do 4 and 5?
OpenStudy (dayakar):
4)
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OpenStudy (dayakar):
factorise the denominator first
OpenStudy (anonymous):
ok so if you think x is a number - or divideing by another number
OpenStudy (dayakar):
\[x^{2}+3x-4\]
OpenStudy (anonymous):
so what do you think the x means
OpenStudy (anonymous):
i think i know
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OpenStudy (anonymous):
@dayakar @samthamathguy give me one sec to reply :)
OpenStudy (dayakar):
\[x^{2}-x+4x-4\]
spliting the middle term
OpenStudy (anonymous):
ok so what i think it is is something plus 4 to get 7
OpenStudy (anonymous):
so its probaly 1 and 1 half
OpenStudy (anonymous):
are we on 4 ? lol
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OpenStudy (anonymous):
yay
OpenStudy (anonymous):
so am i right on x = 1 and 1/2
OpenStudy (dayakar):
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