Let n = 1
then f(1) = 1^1 - 1 + 2 = 2 so it is true for n = 1
for the next number after n ( n+1) we have f(n+1) =
(n+1)^2 - (n+1) + 2
= n^2 + 2n + 1 - n - 1 + 2
= n^2 + n + 2
= n(n+1) + 2
Now n(n+1) must be divisible by 2 because either n is odd and n+1 is even OR n is even and n+1 is odd and odd & even always = an even number.
So the function is divisible by 2 for n+1 We have shown that its true for n = 1 Therefore it must be true for n = 1,2,3,4 ...
True for all positive integers
4000 ........................................
First subtract the number that did, to find the number that didn't.
1300 - 520 = 780 customers did not order coffee.
Now divide the number who didn't order coffee by total number of customers:
780 / 1300 = 0.6
Multiply by 100 to get the percent:
0.6 x 100 = 60% did not order coffee.
Answer:
<h3>The value which is needed to be added to transform the quadratic expression as a perfect square
Trinomial is 16.</h3>
Answer:
-0 (3-2)
x = vertex x2
answer
Step-by-step explanation: