Answer:
19) -2/5 20) 1/2 21) -5x 22) Slope is 0 23) undefined slope 24) Slope is 0 25) Slope is undefined 26) Slope is undefined
Step-by-step explanation:
You can use Y2-Y1/X2-X1 to get the answer
For example, for 19,
(5,0) (0,2)
X1 Y1 X2 Y2
2-0/0-5
2/-5
-2/5
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
Answer:
Yes.
Step-by-step explanation:
Most people are going to say 4x2=8 so 20x2=40, then do a huge math mess up and think they discounting $1.33 after the first 4. this is incorrect.
Seeing as $20 is 4 tickets we can safely say, each ticket is $5 each.
Basic mathematics, 5x7=35. Paying for 7 tickets at $5 each, that is the correct constant price.
He began at 3:44pm
3:44 + 3:45 = 7:29
