Answer:
3
Step-by-step explanation:
there are 3 more markers than pencils
Answer:
11x + y = 25
Step-by-step explanation:
Start with y = mx + b
Slope is -11, so m = -11
Point is (2, 3), so we plug that back in to get the intercept.
3 = -11 * 2 + b
3 = -22 + b
b = 25
y = -11x + 25
11x + y = 25 in standard form.
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:
(2;-5) and (0;-4).
Step-by-step explanation:
if the given graph is the same as in the attached picture (y=-0.5x-4), then two points only belong to it.
