Mathematics
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OpenStudy (anonymous):
I have an answer can someone just see if I'm right
Rewrite the following function in the form
f(x)=kx^p
f(x)=(1/2x^3)
k=
p=
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OpenStudy (anonymous):
k=.5 and p=-3
OpenStudy (anonymous):
hi
OpenStudy (anonymous):
hi
OpenStudy (anonymous):
\[f(x)=kx^p\]
\[p = -3\]
\[k = 0.5\]
OpenStudy (anonymous):
so i am correct thanks
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OpenStudy (anonymous):
yep :)
OpenStudy (anonymous):
Did you have anymore questions?
OpenStudy (anonymous):
yes actually f(x)=3 square root x and then the 4 foes inside the check mark on the square root
k=
p=
OpenStudy (anonymous):
\[f(x)=3\sqrt[4]{x?}\]
OpenStudy (anonymous):
Ah yes, do you know what
\[\sqrt[4]{x}\]
is equivalent to?
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OpenStudy (anonymous):
no
OpenStudy (anonymous):
\[\sqrt{x} = x^{\frac{1}{2}}\]
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
What would \[\sqrt[4]{x}\] be?
OpenStudy (anonymous):
so then does k= 3 and p= .25
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OpenStudy (anonymous):
12.649
OpenStudy (anonymous):
Correct
OpenStudy (anonymous):
so k=3 and p=.25 right just making sure of the numbers
OpenStudy (anonymous):
yes, that's correct
OpenStudy (anonymous):
ok I have another so you want to check my answers for that too
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OpenStudy (anonymous):
f(x)=(2/square root of x
k=
p=
OpenStudy (anonymous):
okay \[f(x)=\frac{2}{\sqrt{x}}\]
OpenStudy (anonymous):
yes k= 2 and p=1
OpenStudy (anonymous):
Do you know what happens when you bring the numerator to the denominator?
OpenStudy (anonymous):
no
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OpenStudy (anonymous):
\[\sqrt{x}=x^{\frac{1}{2}}=\frac{1}{x^{-\frac{1}{2}}}\]
OpenStudy (anonymous):
so then k=2.5 and p=0
OpenStudy (anonymous):
no
OpenStudy (anonymous):
k=2 and p=-0.5
OpenStudy (anonymous):
\[f(x)=\frac{2}{\sqrt{x}}=2*x^{-\frac{1}{2}}\]
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OpenStudy (anonymous):
Correct
OpenStudy (anonymous):
ok thanks what about f(x)=(2x)(5 square eoot of x)
OpenStudy (anonymous):
k=10 and p=-1.5
OpenStudy (anonymous):
This?
\[(2x)\sqrt[5]{x}\]
OpenStudy (anonymous):
no the 5 is next to the square root not in it
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OpenStudy (anonymous):
ah
OpenStudy (anonymous):
\[(2x)(5)\sqrt{x}\]
OpenStudy (anonymous):
\[(2x)(5\sqrt{x}\]
OpenStudy (anonymous):
This one is easy, we've already done something similar before
OpenStudy (anonymous):
k=10 and p=-1.5
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OpenStudy (anonymous):
is that right
OpenStudy (anonymous):
\[2x(5*\sqrt{x})\] is equivalent to
\[2x(5^1*x^{\frac{1}{2}})\]
OpenStudy (anonymous):
so then k=10 and p=1.5
OpenStudy (anonymous):
sorr yp=.5
OpenStudy (anonymous):
yes
k=10 p=.5
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OpenStudy (anonymous):
ok thanks
OpenStudy (anonymous):
No problem.