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galben [10]
3 years ago
8

How to determine if set of vectors is linearly independent?

Mathematics
1 answer:
zimovet [89]3 years ago
7 0
The vectors \{v_1,v_2,...,v_p\}\in \mathbb{R}^n are linearly independent if the ONLY solution to the following equation:

c_1v_1+c_2v_2+...c_pv_p=0

is c_1=c_2=...=c_p=0
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Suppose you have a coupon for 10% off and you use it to buy a CD which was already discounted 15%. Do you end up with a discount
Andrew [12]
No because the extra 10% is off the discounted price, not the original. image that the CD originally cost $10. 15% off of the CD would make the price $8.50. Another 10% off of $8.50 would make the price that you have to pay $7.65. 25% off of the original price of $10 would make the price $7.50. Sorry if its a bit confusing but I hope that helps! 
8 0
3 years ago
MATH HELP 10 PTS
Lesechka [4]

Answer:

The width is 5 and the length is 11

Step-by-step explanation:

The formula for perimeter is

P = 2(l+w)

We know the perimeter is 32

32 = 2 (l+w)

Divide each side by 2

32/2 = 2(l+w)

16 = l+w

We know the length is 6 longer than the width

l = w+6

16 = w+6+w

Combine like terms

16 = 2w+6

Subtract 6 from each side

16-6 = 2w+6-6

10 = 2w

Divide by 2

10/2 = 2w/2

5 =w

The length  is

l = w+6

   5+6 = 11

8 0
3 years ago
What value makes 3(a+1.5)= -1.5 true
Reika [66]
First, write the equation:
3(a+1.5) = -1.5
Next, you can distribute 3 into the parentheses by multiplying 3 by a and 1.5. It should look like this:
3a + 4.5 = -1.5
When trying to find the value of a variable, you want to get the variable to one side of the equation by itself. Subtract 4.5 from both sides of the equation to get:
3a = -6
Now, divide both sides by 3 to get your final answer:
a= -2
The value that makes the equation true is -2
Hope this helped!
3 0
3 years ago
You have $2 and earn $0.50 for each cup of lemonade you sell. Write an equation in two variables that represents the total amoun
Pani-rosa [81]
So because you will have $2 no matter how many cups you sell the equation starts off as AA = 2 

Next, you add the dependent variable, because 1 cup of cc = $0.50 you add 0.5cc to the equation (it can also be written as 1/2cc), to complete the equation.
AA = 1/2cc +2
3 0
3 years ago
What is 25/49? <br> A. 25/49 <br> B. 5/9 <br> C. 5/7 <br> D. 5/8
Ket [755]

Answer:

a. 25/49. the answer is as simplified as possible

4 0
3 years ago
Read 2 more answers
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