Answer:
B.
Step-by-step explanation:
To simplify something that looks like
you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:
.
If you had
, then you would multiply top and bottom the conjugate of
which is
.
The conjugate of a+b is a-b.
These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.
Let's see:
(a+b)(a-b)
I'm going to use foil:
First: a(a)=a^2
Outer: a(-b)=-ab
Inner: b(a)=ab
Last: b(-b)=-b^2
--------------------------Adding.
a^2-b^2
See -ab+ab canceled so all you had to do was the "first" and "last" of foil.
This would get rid of square roots if a and b had them because they are being squared.
Anyways the conjugate of
is
.
This is the thing we are multiplying and top and bottom.
The correct answer is 2x-1
Answer:
Total withholding allowances are 39.
Step-by-step explanation:
Given the gross earning of John = $743.61
It is given that 1 withholding allowance = $19
Now we have to find the total number of withholding allowances. Here, the number of withholding allowances can be determined by dividing the total earnings with $19.
Number of withholding allowances = 743.61 / 19 = 39.14 or 39 (round off).
Answer:
81000 people went to Bonnaroo.
192000 people went to Lollapalooza.
Step-by-step explanation:
Given:
Total number of people attending festivals, 
Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.
Unknown:
Number of people attending Lollapalooza and Bonnaroo.
Let the number of people attending Bonnaroo be
.
Therefore, the number of people attending Lollapalooza is equal to 
Evaluate:
Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,

Substitute and Solve:
Now, we have,
.
Substitute 81000 for
and solve for the number of people attending both the festivals. This gives,
Number of people attending Bonnaroo = 
Number of people attending Lollapalooza = 
Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.