Answer:
x = 10
Step-by-step explanation:
1) Subtract x from both sides.
4x − x = 30
2) Simplify 4−x to 3x
3x = 30
3) Divide both sides by 3
x = 
4) Simplify
to 10
x = 10
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:
Step-by-step explanation:
379 is a prime number. Only 2 numbers will divide into it. 1 and 379
So you could do this
379 * 8 = 3032
(379 * 2 ) * 4 = 758 * 4 = 3032
(379 * 4 ) * 2 = 1516 * 2 = 3032
Answer:
the purpose of this as is to get everyone excited about the roller coaster
Step-by-step explanation: