Answer:
3*sqrt(3x)
--------------
2x
Step-by-step explanation:
To rationalize the denominator, we need to get rid of the square root. We need to multiply by sqrt(12x)/sqrt(12x)
9 sqrt(12x)
---------- * -----------
sqrt(12x) sqrt(12x)
9sqrt(12x)
-----------------
12x
We can cancel 3 in the top and bottom
3sqrt(12x)
---------------
4x
We also notice that 12 is made up of 4 and 3
3sqrt(4) sqrt(3x)
---------------
4x
3sqrt(4) sqrt(3x)
----------------------
4x
3*2sqrt(3x)
--------------
4x
We can cancel a 2 in the top and bottom
3*sqrt(3x)
--------------
2x
Answer:
Yes
Step-by-step explanation:
The smaller two sides have to be greater than the biggest side.
2+8>9, so it can make a triangle.
Answer:
Let C be the cost for the people staying
if n <= 2 ; C = $125
If n >2 ; C = $125 + $25 * (n-2)
Step-by-step explanation:
If the number of people is more than two, we need to add $25 for each of them.
Since n will be the number of people staying, we need to make sure that we substract two from this term to avoid overcharging the guests when there is less than two people.
So
(n-2) is the term that should be multiplied by a factor of 25.
Answer:
P(A or B) = 25%
Step-by-step explanation:
P(A and B) = 30%
P(A) = 40%
P(B) = 15%
Apply given formula:
P(A or B) = P(A) + P(B) - P(AB)
= 40%+15+-30%
= 25%
Answer:
p/q = x
Step-by-step explanation: