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Mathematics 18 Online
OpenStudy (anonymous):

What is the vertex and axis of symmetry for the given function? f(x)=x^2-x+2

OpenStudy (saifoo.khan):

are u sure it asks for vertex?

OpenStudy (saifoo.khan):

\[vertex = (\frac12, \frac74)\]

OpenStudy (anonymous):

It says identify the vertex and axis of symmetry

OpenStudy (saifoo.khan):

\[symmetry \to x=\frac12\]

OpenStudy (saifoo.khan):

got that correct?

OpenStudy (anonymous):

yes

OpenStudy (saifoo.khan):

Cool.

OpenStudy (anonymous):

got another coming, it's a tough one

OpenStudy (saifoo.khan):

Let's see. :D

OpenStudy (anonymous):

A rectangular pen for a pet is 3 ft. longer than it is wide. Give possible values for the width (W) of the pen if its area must be between 208 and 700 square feet, inclusively.

OpenStudy (saifoo.khan):

208 < x(3x) < 700

OpenStudy (anonymous):

the width of the pen ranges from the smaller value of the width= ? to the larger value of the width=? are my answers 208 and 700?

OpenStudy (saifoo.khan):

No. they are the areas. we have to solve that inequatliy. im solving..

OpenStudy (anonymous):

Ok

OpenStudy (saifoo.khan):

smaller is \[\pm 9\] and larger is \[\pm 15\]

OpenStudy (anonymous):

Do I just use the + measurements since - measurements wouldn't make sense?

OpenStudy (saifoo.khan):

go for +ve first..

OpenStudy (anonymous):

okay, thanks for all the help

OpenStudy (saifoo.khan):

let's see. im confused because if we insert the value in negative, we still get the answer in positive.

OpenStudy (saifoo.khan):

No problem.

OpenStudy (anonymous):

Positives worked

OpenStudy (saifoo.khan):

:D

OpenStudy (saifoo.khan):

If u have more problems you can post them as well. :)

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