Answer:
p ∈ IR - {6}
Step-by-step explanation:
The set of all linear combination of two vectors ''u'' and ''v'' that belong to R2
is all R2 ⇔
And also u and v must be linearly independent.
In order to achieve the final condition, we can make a matrix that belongs to 
using the vectors ''u'' and ''v'' to form its columns, and next calculate the determinant. Finally, we will need that this determinant must be different to zero.
Let's make the matrix :
![A=\left[\begin{array}{cc}3&1&p&2\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%261%26p%262%5Cend%7Barray%7D%5Cright%5D)
We used the first vector ''u'' as the first column of the matrix A
We used the second vector ''v'' as the second column of the matrix A
The determinant of the matrix ''A'' is
We need this determinant to be different to zero
The only restriction in order to the set of all linear combination of ''u'' and ''v'' to be R2 is that
We can write : p ∈ IR - {6}
Notice that is 
⇒
If we write 
, the vectors ''u'' and ''v'' wouldn't be linearly independent and therefore the set of all linear combination of ''u'' and ''b'' wouldn't be R2.
Answer:
This is a guess!
When looking at the given equation I can not help but think of compound interest. So I am going to convert this into that format.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Within the context of financial interest:
Looking for:
P
(
1
−
x
)
n
Where P is the principle sum,
x
is the interest and n is the number of interest cycles (annual)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Given:
y
=
5100
(
0.95
)
x
But
0.95
=
1
−
0.05
so we have
y
=
5100
(
1
−
0.05
)
x
But
.
0.05
=
5
100
So we have
y
=
5100
(
1
−
5
100
)
x
Thus the percentage change each year is
−
5
%
Step-by-step explanation:
x = -6 is the equation for this question.
Theres a saying: Dividing fractions dont ask why, just flip the second and multiply.
so a/b / c/d = a/b * d/c
-8/2 * -3/6
1. cross - cancel common factor 2
4/2 * -3/3
2. Multiply
-4(-3)/ 2*3
3. multiply numbers
--12/2*3
- -12/6
4. Apply fraction rule -a/b=- a/b
=-(-12/6)
5. divide
= -(-2)
6. Apply rule -(-a)=a
=2
Your answer would be 2
Answer:
10+2x= the sum (anything could be put here)
Step-by-step explanation:
Well sum is automatically addition
Doubleing a number is basically multiplying it by 2
so
10+2x= whatever youw ant to put here
