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Anuta_ua [19.1K]
3 years ago
10

Find the second and third term of the arithmetic sequence -7, _, _, -22, -27, ...

Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0
Okay. The pattern here is subtracting 5, because -22 - 5 = -27. -7 - 5 = -12 And -12 - 5 = -17. -12 and -17 go in the term of the sequence, because all of the numbers together have a difference of 5. The answer is D.
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Find the degree of the polynomial<br> 2x^4y^2+9x^2y^5-3x^4y^4
coldgirl [10]

Answer:

the polynomial has degree 8

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term  2\,x^4\,y^2  contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6

2) term  9\,x^2\,y^5  contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7

3) term  -3\,x^4\,y^4  contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8

This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.

8 0
3 years ago
Read 2 more answers
In 2007, there were 31 laptops
abruzzese [7]

Answer:

l=31+20(y-2007)

where l is the number of laptops, and y is the year.

in 2017: l=231

Step-by-step explanation:

I will define the variable x as the number of years that passed since 2007.

Since the school buys 20 lapts each year, after a number x of years, the school will have

20*x more laptops.

and thus, since the school starts with 31 laptops, the equation to model this situation is

l=31+20*x

where l is the number of laptops.

since x is the number of years that have passed since 2007, it can be represented like this:

x=y-2007

where y can be any year, so the equation to model the situation using the year:

l=31+20(y-2007)

and this way we can find the number of laptos at the end of 2017:

y=2017

and

l=31+20(y-2007)

l=31+20(2017-2007)\\l=31+20(10)\\l=31+200\\l=231

3 0
3 years ago
Simplify by using distributive property <br> 3+11(2c+3)
lidiya [134]

Answer:

22c+36

Step-by-step explanation:

3+11(2c+3)

3+22c+33

3+33+22c

36+22c or 22c+26

7 0
3 years ago
What is 260% of 6 <br> is it 3.6<br> is it 9.6<br> is it 15.6<br> or is it 21.6
Arte-miy333 [17]
The answer is (C) 15.6. 260% of 6 is 6 * 2.6.
7 0
3 years ago
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5 1/4 written in radical form
emmainna [20.7K]

Answer:Exact Form:

4 √ 5

Step-by-step explanation:

5 0
3 years ago
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