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sergeinik [125]
2 years ago
9

Can y’all put this from greatest to least? -0.3 3 -0.9 2.91 -1.01

Mathematics
1 answer:
sukhopar [10]2 years ago
6 0

3, 2.91, -0.3, -0.9, -1.01,

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Determine all real values of p such that the set of all linear combination of u = (3, p) and v = (1, 2) is all of R2. Justify yo
Rama09 [41]

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 ⇔

u\neq 0_{R2}      

v\neq 0_{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 R^{2x2} 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]

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

Det(A)=6-p

We need this determinant to be different to zero

6-p\neq 0

p\neq 6

The only restriction in order to the set of all linear combination of ''u'' and ''v'' to be R2 is that p\neq 6

We can write : p ∈ IR - {6}

Notice that is p=6 ⇒

u=(3,6)

v=(1,2)

If we write 3v=3(1,2)=(3,6)=u , 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.

7 0
3 years ago
A salesman has a base salary $2600 per month and makes 3 commission on each unit sold. If his total annual compensation is $48,0
nevsk [136]

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

8 0
3 years ago
Read 2 more answers
The product of a number and 12 is nomore than 15
allsm [11]

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".

5 0
3 years ago
A system of two linear inequalities is graphed as shown, where the solution region is shaded. Complete the sentences below by de
andrezito [222]

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

6 0
1 year ago
Help! This is due today and I'm stuck on this problem.
Varvara68 [4.7K]

Answer:

280.6 m^2

Step-by-step explanation:

<u>find the length of each side:</u>

you're only given h = 9 m

the formula for h is  h=\frac{\sqrt{3} }{2} *a, where a is a side length of the hexagon

plug h in:

9=\frac{\sqrt{3}}{2}*a\\\\a=9*\frac{2}{\sqrt{3}}\\\\

a ≈ 10.392 m

<u>now find the area of a triangle:</u>

1/2 (10.392)(9) = 46.764 m^2

multiply that by 6 and you get 280.584 ≈ 280.6 m^2

you can also use the regular hexagon area formula instead of finding the individual area and multiplying by 6: \frac{3\sqrt{3} }{2} *a^2

7 0
2 years ago
Read 2 more answers
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