Answer:
the set of all possible outputs for a function is the range
Answer:
Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Step-by-step explanation:
Let X=set of all odd numbers
that is
Let Y=set of all even numbers
that is
Verify that 2(n+1) represents an even number where n is an odd number:
Put n=1 in 2(n+1) we get
2(1+1)=2(2)=4
Put n=3 in 2(n+1) we get
2(3+1)=2(4)=8
Put n=5 in 2(n+1) we get
2(5+1)=2(6)=12
and so on.
From above results we get 2(n+1) represents an even number and is belongs to the set Y when n is an odd number.
Therefore Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Answer:
See proof below.
Step-by-step explanation:
True
For this case we need to use the following theorem "If are eigenvectors of an nxn matrix A and the associated eigenvalues are distinct, then are linearly independent". Now we can proof the statement like this:
Proof
Let A a nxn matrix and we can assume that A has n distinct real eingenvalues let's say
From definition of eigenvector for each one needs to have associated an eigenvector for
And using the theorem from before , the n eigenvectors are linearly independent since the are distinct so then we ensure that A is diagonalizable.
Answer:
x1= 79, x2= -83
Step-by-step explanation:
seperate into 2 possible cases
x+2=81
x+2= -81
subtract 2 from both sides
x= 79
x= -83
Answer:
A = 4 in^2
Step-by-step explanation:
The area is given by
A = l*w
A = 1in * 4 in
A = 4 in^2