Mathematics
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OpenStudy (anonymous):
Find p,q, and r if f(0)=-5, f(3)=-5, and f(5)=-35 for f(x)=px^2+qx+r, show the process please
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OpenStudy (anonymous):
for f(0)
-5 = p (0^2) + q(0) + r
-5 = r
Do you understand this?
OpenStudy (anonymous):
yes, go on
OpenStudy (anonymous):
use the same concept for the others.
OpenStudy (anonymous):
that doesn't give you a complete answer for the others
OpenStudy (anonymous):
I'm not gonna help you if you are just looking for answers. Put in some effort.
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OpenStudy (anonymous):
By using the same concept, I will get -5=9p+3q+r, and -35=25p+5q+r
OpenStudy (anonymous):
Which isn't complete
OpenStudy (anonymous):
There are more steps afterward, I am just unsure of them
OpenStudy (anonymous):
as earlier, remember i found a value for r?
OpenStudy (anonymous):
Yeah, by plugging in zero, but that doesnt work for the other functions
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OpenStudy (anonymous):
nos substitute that r value in the other two equations.
OpenStudy (anonymous):
okay so then I'd have -5=9p+3q-5 and -35=25p+5q-5.
And then I use either substitution or elimination to solve the equations right?
OpenStudy (anonymous):
yes,
OpenStudy (anonymous):
okay one sec lemme work it out and see if i get the right answer
OpenStudy (anonymous):
thanks
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OpenStudy (anonymous):
Okay so the answer is -5=r, -3=p, and 9=q right??? @mickey4691
OpenStudy (anonymous):
verify the signs for q and p.
OpenStudy (anonymous):
nuuuuuu I got it wrong???? :(
OpenStudy (anonymous):
darn.
OpenStudy (anonymous):
the signs.
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OpenStudy (anonymous):
-5=9p+3q-5
that means 9p+3q= 0
then q= -3p
OpenStudy (anonymous):
-35=25p+5q-5
then 25p + 5 q = 30
then 5p + q = 6
then 5p - 3p = 6
2p=6
p = 3
OpenStudy (anonymous):
once p = 3
OpenStudy (anonymous):
q = -3p
OpenStudy (anonymous):
q= -3 (3) = -9
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OpenStudy (anonymous):
wait but 25p+5q= -30 not +30
OpenStudy (anonymous):
good job. then you are correct lol.
OpenStudy (anonymous):
You deserve the medal lol
OpenStudy (anonymous):
i was only testing you lol. i'm kidding.
OpenStudy (anonymous):
oh okay thank you so much I wouldn't have gotten there without you :)