What is the sum?
3/x^2-9 + 5/x+3
a) 8/x^2+x-6
b) 5x-12/x-3
c)-5x/(x+3(x-3)
d) 5x-12/x+3(x-3)

Sum  

D is correct

Step-by-step explanation:

Given:

We are given a rational expression and to add the expression.

First we make common denominator and then we add them

Multiply and divide the second fraction  by x-3

Now we have common denominator and write as common

Factor the denominator:

Hence, The sum  is  

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet