It depends how you want to solve it
you can plug it in on a calculator and It will show you how the equation looks on a graph( need graphing calculator).
1. ) 1 thru 9 are both natural numbers and whole numbers. 0 is a whole number, but not a natural number.
2.) 6...it is a natural number because it is a counting number and it is whole, it is a whole number and it is an integer as well. It is also rational because it can be turned into a fraction 6/1.
3.) -2 is a rational number because it can be turned into a fraction -2/1, but it is not a whole number because it contains a negative.
4.) That number would be 0
It will be a negative.
for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11
-2(2) + 1 = -3
but that's only 8 apart, so it'd be higher.
-4(2) + 1 = -7
-4(8) + 5 = -27
BOOM
Tadaaaa,
You probably thought positive, but sometimes it's negative, you know what I mean?
Answer:
35,45,55 is not a triangle
Step-by-step explanation:
The three angles of a triangle add to 180
30+60+90 = 180
true
45+55+80 = 180
true
30+45+105 =180
true
35+45+55 =180
135 does not =180
false
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
