Answer with Step-by-step explanation:
We are given that
and 
are linearly independent.
By definition of linear independent there exits three scalar 
and 
such that
Where 
We have to prove that 
and 
are linearly independent.
Let 
and 
such that
...(1)
..(2)
..(3)
Because and are linearly independent.
From equation (1) and (3)
...(4)
Adding equation (2) and (4)
From equation (1) and (2)
Hence, and area linearly independent.
Answer:
31/5
Step-by-step explanation:
[f(4) - f(-1)] / 4-(-1)
Let the two numbers be x and y.
Let m = the fraction (or percentage) for increasing the numbers.
Increase x by 5, multiply (x+5) by (1+m), and set it qual to 36.
(x + 5)*(1 + m) = 36
Increase y by 5, multiply (y+5) by (1+m), and set it equal to 36.
(y+5)*(1+m) = 36
Therefore
(x+5)*(1+m) = (y+5)*(1+m)
x + 5 = y + 5
x = y
x - y = 0
Answer: 0.
The difference between the two numbers is zero.
