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satela [25.4K]
3 years ago
9

Select the correct answer from each drop-down menu.

Mathematics
2 answers:
Colt1911 [192]3 years ago
5 0

Answer:

second

first

4

is

Step-by-step explanation:

qwelly [4]3 years ago
4 0

Answer:

  • second
  • first
  • 4
  • is

Step-by-step explanation:

In system B, the first equation is the same, so clearly the <em>second</em> equation has been replaced. The only other equation in the system is the <em>first</em>, so that is the one that is multiplied by some number.

The number it is multiplied by must make the y coefficient be the opposite of the y-coefficient in the second equation, so they cancel when added. That is, the multiplier times -1 must be -4, so the multiplier must be <em>4</em>.

The purpose of doing this is to ensure the solution of System B <em>is exactly</em> the same as that of System A.

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Eight committee members are meeting in a room that has twelve chairs. In how many ways can they sit in the chairs
amm1812

Answer:

<h2>495 different ways</h2>

Step-by-step explanation:

We will use the combination rule to solve this questions since it bothers selection. Combination has to do with selection.

If r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If there are Eight committee members meeting in a room that has twelve chairs, the number of ways they can sit in the chair can be done in 12C8 number of ways.

12C8 = 12!/(12-8)!8!

12C8 = 12!/4!8!

12C8 = 12*11*10*9*8!/4*3*2*8!

12C8 =  12*11*10*9/4*3*2

12C8 = 11*10*9/2

12C8 = 11*5*9

12C8 = 495

<em>Hence the committee can sit in the chairs in 495 different ways</em>

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