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:
$1.67
Step-by-step explanation:
Take the total cost and divide by the number of markers
$20/12 =1.6666666
Since we are dealing with money we round to the nearest cent
$1.67
Answer:450
Step-by-step explanation:
first subctract then add
First you simply have to substitute 2 in replace of all the a's, and -2 in replace of all of the b's
4((2)2+2(-2))
Then you want to follow the order of operations, PEMDAS (Parantheses-Exponent-Multiplication-Division-Addition-Subtraction), and multiply within the parantheses.
4(4+(-4))
Next you will add within the parantheses (So add the 4 and -4 together)
4(0)
Lastly multiply
0
Your answer is 0
Hope this helps!
Answer:
<h2> The cost of a candy is $1.25</h2>
Step-by-step explanation:
given the total amount at hand is $25
let the price of candy be x
then the cost of 3 candy will be 3x
the cost of a candy snake is $12.50.
balance at hand after the end of buying $8.75
the total expenses summed up must equal the initial amount at hand which is $25
the expression for the scenario is 3x+12.5+8.75=25
3x+21.25=25
3x=25-21.25
3x=3.75
x=3.75/3
x=$1.25
The cost of a candy is $1.25
