5 kilometers for 10 minutes
60 minutes= 1 hour
30 kilometers divided by 60 minutes=0.5
0.5*10 minutes= 5 kilometers for 10 minutes
Answer:
4032 different tickets are possible.
Step-by-step explanation:
Given : At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 9 horses and the second runs 8.
To find : How many different tickets are possible ?
Solution :
In the first race there are 9 ways to pick the winner for first and second place.
Number of ways for first place - 
Number of ways for second place - 
In the second race there are 8 ways to pick the winner for first and second place.
Number of ways for first place - 
Number of ways for second place - 
Total number of different tickets are possible is


Therefore, 4032 different tickets are possible.
1. Solve by differentiation (Derivative = 0 at the vertex)
dy/dx= 2x-4
0=2x-4
0=2(x-2)
x=2
when x=2 y=-5
therefore vertex (2,-5)