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elixir [45]
2 years ago
14

What is the property of y • 0 = 0

Mathematics
1 answer:
iragen [17]2 years ago
3 0

Answer: The property of y x 0 = 0 is the Identity property.

Step-by-step explanation:

I hope this is what you were looking for, I apologize if I have been mistaken.

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Solve the system using elimination. 3x + 3y = –9 3x – 3y = 21
scoundrel [369]

Answer:

y=-5,x=2

Step-by-step explanation:

3x+3y=-9________________eqn 1

3x-3y=21________________eqn 2

using elimination method

3x+3y=-9

-

3x-3y=21

subtract equation 2 from equation 1

0+6y=-30

6y=-30

y=-30/6

y=-5

substitute the value of y in equation 1

3x+3y=-9

3x+3(-5)=-9

3x-15=-9

3x=-9+15

3x=6

x=6/3

x=2

6 0
3 years ago
Determine formula of the nth term 2, 6, 12 20 30,42​
nalin [4]

Check the forward differences of the sequence.

If \{a_n\} = \{2,6,12,20,30,42,\ldots\}, then let \{b_n\} be the sequence of first-order differences of \{a_n\}. That is, for n ≥ 1,

b_n = a_{n+1} - a_n

so that \{b_n\} = \{4, 6, 8, 10, 12, \ldots\}.

Let \{c_n\} be the sequence of differences of \{b_n\},

c_n = b_{n+1} - b_n

and we see that this is a constant sequence, \{c_n\} = \{2, 2, 2, 2, \ldots\}. In other words, \{b_n\} is an arithmetic sequence with common difference between terms of 2. That is,

2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2

and we can solve for b_n in terms of b_1=4:

b_{n+1} = b_n + 2

b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2

b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2

and so on down to

b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)

We solve for a_n in the same way.

2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)

Then

a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)

a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))

a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))

and so on down to

a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2

\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}

6 0
2 years ago
7. What's the perimeter of a rectangle with length 12 m and width 5 m?
azamat

Answer:

Option(c) 34m

Step-by-step explanation:

Perimeter of a rectangle = 2(length + breadth)

length = 12m

breadth/width = 5m

Perimeter = 2(12 + 5)

                = 2(17)

                = 34m

8 0
2 years ago
Read 2 more answers
HELP ME HURRY <br> Which graph best represents an equation with the values shown in the table?
masha68 [24]
The first graph one
3 0
3 years ago
peter buys 8.5 square feet of carpet. the carpet costs 10.20 per square foot. how much does peter pay for the carpet
sergejj [24]
To get the answer you multiply 8.5 times 10.20 which equals to 86.7
4 0
2 years ago
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