Which choice is equivalent to the quotient below when. the problem is in the photo below. i am scared

Hello from MrBillDoesMath!

Choice C, sqrt(3-x)

Discussion:

Have no fear, MBill is here!

The quotient is

sqrt (9-x^2)  / sqrt( 3+x)  =         => as sqrt(a)/sqrt(b) = sqrt(a/b), b <> 0

sqrt (   (9-x^2)/( 3+x) )  =             => as 9 - x^2 = (3-x) * (3+x)

sqrt (  (3-x)(3+x) /(3+x) ) =           => cancel (3+x) from num. and denom.

sqrt( 3-x)

This is Choice C

Note the domain restriction -3 < x < = 3 guarantees that division by zero can't happen.

Thank you,

MrB

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier