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Zina [86]
2 years ago
13

How do u type negative one on here

Mathematics
1 answer:
ipn [44]2 years ago
7 0

Answer:

-1

Step-by-step explanation:

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Determine if b is a linear combination of a1 a2, and a3. a1 = [ 1 -2 0 ], a2 = [ 0 1 3 ], a3 = [ 6 -6 18 ], b = [ 2 -2 6 ] Choos
marysya [2.9K]

Answer: Vector b is not a linear combination

Step-by-step explanation:

First of all we put the vectors in terms of different variables, such as:

a1(1,-2,0)=(a,-2a,0);

a2(0,1,3)=(0,b,3b);

a3(6,-6,18)=(6c,-6c,18c);

To know that a vector is a linear combination we need to express it like a sum of other different vectors.

(2,-2,6)=(a,-2a,0)+(0,b,3b)+(6c,-6c,18c)

(2,-2,6)=(a+0+6c,-2a+b-6c,0+3b+18c)

We express this sum like a system of equations.

a+6c=2

-2a+b-6c=-2

3b+18c=6

We solve this system of equations and we can note that the system don't have a solution, so the vector b is not a linear combination of a1, a2, and a3.

8 0
3 years ago
Read 2 more answers
Use function notation to write a recursive formula to represent the sequence: 3, 6, 9, …
dlinn [17]

Answer:

f(n) = f(n - 1) + 3

Step-by-step explanation:

Substitute $ n = 1, 2, 3,.. $ to get the recursive formula.

OPTION 1: f(n) = f(n - 1) + 3

Substituting n = 1.

f(1) = f(1 - 1) + 3 = 0 + 3 = 3.

Substituting n = 2.

f(2) = f(2 - 1) + 3 = f(1) + 3 = 3 + 3 = 6.

Substituting n = 3.

f(3) = f(3 - 1) + 3 = f(2) + 3 = 6 + 3 = 9.

The numbers match the given sequence. So, we say the above recursive formula represents the sequence.

OPTION 2: f(n) = f(n - 1) + 2

Substituting n = 1

f(1) = f(0) +  2 $ \ne $ 3.

So, this is eliminated.

Similarly, OPTION 3 and OPTION 4 can be eliminated as well.

4 0
3 years ago
What is 28 tiles in 7 ros. (It has to be a divison equation)
raketka [301]

If 28 tiles is placed in 7 rows then each row has 4 tiles.

<u>Step-by-step explanation:</u>

The total number of tiles given =28.

The number of rows = 7.

The number of tiles in each row is given by diving the total number of tiles given by the number of rows.

No of tiles in each row= \frac{total number of tiles}{number of rows}.

No of tiles in each row = \frac{28}{7}.

No of tiles in each row = 4.

Note: You can replace the values according to the given values.

8 0
3 years ago
7.29. hose fills a swimming pool at a rate of 0.5 gallons per second. If the pool's capacity is 9,000 gallons, then how many hou
Bond [772]

Answer:

<u>It takes the hose 300 hours to fill the pool</u>

<u />

Step-by-step explanation:

The hose can fill the pool at a rate of 0.5 gallons per second, which means that it can fill the pool at a rate of 1 gallon per 2 seconds. It needs to fill 9000 gallons of water, so assuming the ratio remains 1:2, it takes the hose 18000 (9000*2) seconds to fill the pool completely.

However, it is important to note that we have to answer in terms of hours. There are 60 seconds in an hour, so 18000 seconds is equal to <u>300 hours</u> (18000/60).

7 0
1 year ago
Read 2 more answers
A rectangle has a height of 4a^2 and a width of 6a^2+9a+3.
Nookie1986 [14]

Answer:

24a^4 +36a^3+12a^2

Step-by-step explanation:

area = height × width

area= 4a^2(6a^2+9a+3)

area = 24a^4 +36a^3+12a^2

8 0
3 years ago
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