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:
Each unit cost $800
Step-by-step explanation:
Annual compensation = $48,000
Annual number of units sold = 2000
Commission on each item sold = 3%
Compensation for 2000 units = $48,000
Compensation for 1 unit = $48,000/2000 = $24
Cost of one unit = compensation for one unit ÷ commission on one unit = $24 ÷ 3% = $24 ÷ 0.03 = $800
Answer:
As an equation, the product of a number and 12 is no more than 15 would be:
12n ≤ 15
N would represent the number.
≤ means less than or equal to, which is the same as "no more than".
All the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When we plot all the points on the graph we can see that all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) are located in the solution region.
Therefore all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
To know more about graphs follow
brainly.com/question/25020119
#SPJ1
Answer:
280.6 
Step-by-step explanation:
<u>find the length of each side:</u>
you're only given h = 9 m
the formula for h is
, where a is a side length of the hexagon
plug h in:

a ≈ 10.392 m
<u>now find the area of a triangle:</u>
1/2 (10.392)(9) = 46.764 
multiply that by 6 and you get 280.584 ≈ 280.6 
you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: 