Answer:
a = 8
Step-by-step explanation:
8 + 3 + 1 - 4 = 3a - 2a
8 = a
a = 8
I hope this helps a little bit.
6.4 - 2x - 6.63x = 610.5
subtract 6.4 from both sides
-2x -6.63x =604.1
collect like terms
-8.63x = 604.1
divide both sides by -8.63
x= -70
Yes I think that is correct
X^3-2x^2-5x+6
From the shape, you can immediately tell it’s one of the x^3 functions. Then I just put both in my calculator and looked for which one matched
Answer:
Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.
Step-by-step explanation:
First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.
However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.
Note:
If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.
