Answer:
Option A. 
Step-by-step explanation:
we know that
The volume of the cylinder is equal

where
r is the radius of the base of cylinder
h is the height of the cylinder
we have


substitute


First simplify the like terms.
3 (2x+3y)
Now multiply 3 by 2x then 3 by 3y
6x + 9y
And that is the final answer
A.) Probability of selecting two students and two faculty members from 20 students and 5 faculty volunteers = no of ways of selecting two students and two faculty members from 20 students and 5 faculty volunteers divided by the number of ways of selecting 4 people from 25 people = (20C2 x 5C2) / 25C5 = 1900 / 53130 = 0.036 = 3.58%
b.) Probability of selecting three students and one faculty members from 20
students and 5 faculty volunteers = no of ways of selecting three students
and one faculty members from 20 students and 5 faculty volunteers
divided by the number of ways of selecting 4 people from 25 people = (20C3 x 5C1) / 25C5 = 5700 / 53130 = 0.107 = 10.7%
Answer:
(3x + 4)(x - 1)
Step-by-step explanation:
3x^2 + x - 4
use middle term break method
we need two number which gives 12 when multiplied and 1 when subtracted
3x^2 + (4 - 3)x - 4
3x^2 + 4x - 3x - 4
x(3x + 4) -1(3x + 4)
(3x + 4)(x - 1)