Answer:
Step-by-step explanation:
Here we have 5 groups of books from 5 different subjects, but, those groups consists of different number of books and they must be arranged together.
We can arrange them on the following way:
2 Engineering =2!
4 Computer Science =4!
3 Statistics =3!
3 Biology =3!
5 Music books =5!
But, also, those 5 groups can change their places and they can be arranged on 5! ways, so we can arrange them on 5!2!4!3!3!5! ways.
But, required probability will be:
because we have in total 17 books.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of and
is
. Multiply
. Multiply
.
Because and
have the same denominator, add them by adding their numerators.
Combine like terms in x-a+x+a.
Cancel out x in both the numerator and denominator.
Expand .
Answer: a) k >4.08
b) k = 4.08
c) k<4.08
Step-by-step explanation:
Since we have given that
a) For what values of k will the function have no zeros?
It mean it has no real zeroes i.e. Discriminant < 0
As we know that
Here, a =-3
b = 7
c = -k
So, it becomes,
b) For what values of k will the function have one zero?
It means it has one real root i.e equal roots.
So, in this case, D = 0
So, it becomes,
c) For what values of k will the function have two zeros?
It means it has two real roots.
In this case, D>0
So, it becomes,
Hence, a) k >4.08
b) k = 4.08
c) k<4.08