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atroni [7]
3 years ago
8

Evaluate the summation of negative 2 n minus 3, from n equals 2 to 10..

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0
\bf \sum\limits_{n=2}^{10}~-2n-3

so, let's first change the bounds from 1 to 9, so we'll be dropping the indices by 1, in order to do the variable "n".

however, let's use a variable hmmm say "k", where "k" is the value of "n" beginning at 1, thus k = n - 1.

however, if k = n - 1, then k + 1 = n.  So let's use those fellows then,

\bf \sum\limits_{n=2}^{10}~-2n-3\qquad 
\begin{cases}
k=n-1\\
k+1=n
\end{cases}\implies \sum\limits_{k=1}^{9}~-2\stackrel{n}{(k+1)}-3
\\\\\\
\sum\limits_{k=1}^{9}~-2k-2-3\implies \sum\limits_{k=1}^{9}~-2k-5\implies \sum\limits_{k=1}^{9}~-2k-\sum\limits_{k=1}^{9}~5
\\\\\\
-2\sum\limits_{k=1}^{9}~k-\sum\limits_{k=1}^{9}~5\implies -2\left( \cfrac{9(9+1)}{2} \right)\qquad -\qquad (9\cdot 5)
\\\\\\
-2(45)-45\implies -90-45\implies -135
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3 0
3 years ago
4.x - y = -3<br> 2x - y = 1
OLEGan [10]

Answer:

idk but you should go lesten to blinding lights by the weeknd

Step-by-step explanation:

Yeah

I been tryna call

I been on my own for long enough

Maybe you can show me how to love, maybe

I'm going through withdrawals

You don't even have to do too much

You can turn me on with just a touch, baby

I look around and Sin City's cold and empty (oh)

No one's around to judge me (oh)

I can't see clearly when you're gone

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

I said, ooh, I'm drowning in the night

Oh, when I'm like this, you're the one I trust

Hey, hey, hey

I'm running out of time

'Cause I can see the sun light up the sky

So I hit the road in overdrive, baby

Oh, the city's cold and empty (oh)

No one's around to judge me (oh)

I can't see clearly when you're gone

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

I said, ooh, I'm drowning in the night

Oh, when I'm like this, you're the one I trust

I'm just walking by to let you know (by to let you know)

I can never say it on the phone (say it on the phone)

Will never let you go this time (ooh)

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

Hey, hey, hey

Hey, hey, hey

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

7 0
2 years ago
Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tick
svlad2 [7]

9514 1404 393

Answer:

  • 90 student tickets
  • 65 adult tickets

Step-by-step explanation:

For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...

  6a +3(a+25) = 660

  9a +75 = 660

  9a = 585

  a = 65

  (a+25) = 90

The drama class sold 90 student tickets and 65 adult tickets.

6 0
3 years ago
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