Answer:
15
Step-by-step explanation:
Pat, Jo, Al, Dan
Pat, Al, Dan, Jo
Pat, Dan, Jo, Al
Pat, Jo, Dan, Al
Pat, Al, Jo, Dan
Pat, Dan, Al, Jo List all permutations beginning with Pat.
Jo, Al, Dan, Pat
Jo, Dan, Pat, Al
Jo, Pat, Al, Dan
Jo, Al, Pat, Dan
Jo, Dan, Al, Pat
Jo, Pat, Dan, Al List all permutations beginning with Jo.
Al, Dan, Pat, Jo
Al, Pat, Jo, Dan
Al, Jo, Dan, Pat
Al, Pat, Dan, Jo
Al, Dan Jo, Pat
Al, Jo, Pat, Dan List all permutations beginning with Al.
Dan, Pat, Jo, Al
Dan, Jo, Al, Pat
Dan, Al, Pat, Jo
Dan, Jo, Pat, Al
Dan, Pat, Al, Jo
Dan, Al, Jo, Pat List all permutation beginning with Dan.
There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.
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
Answer:
18 laps
Step-by-step explanation:
5/6 of one minute is 50 seconds.
There are 3600 seconds in one hour, which means there are 900 seconds in 1/4 of an hour. (3600*1/4)
This would leave us with 900 seconds divided by 50 seconds per lap.
900/50=18
