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never [62]
3 years ago
11

2x + y - z=-7 5y- z=1 3z = 12 solve the 3x3 system

Mathematics
1 answer:
muminat3 years ago
8 0

Answer:

Step-by-step explanation:

3z = 12

z = 4

5y - 4 = 1

5y = 5

y = 1

2x + 1 - 4 = -7

2x - 3 = -7

2x = -4

x = -2

(-2, 1, 4)

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Put the decimal over 100 and get rid of the decimal
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Andrew [12]

Answer:

There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.

(nk)=n!k!(n−k)!.

(63)=6!3!3!.

Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.

But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.

So the number of combinations of flavors is (63)=1206=20.

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7 0
2 years ago
i think of a number. if i divide the sum of 6 and the number by 3, the result is 4 more than one quarter of the number. find the
slega [8]

Answer:

-12

Step-by-step explanation:

Let the number be A

Given if you divide the sum of six and the number A by 3 , the result is 4 more than 1/4 of A

That’s

6+A/3 = 4+1/4 of A

6+A/3 = 4+1/4 x A

6+A/3 = 4+A/4

Cross multiply

4(6 + A) = 3(4 + A)

Distribute

4 x 6 + 4 x A = 3 x 4 + 3 x A

24 + 4A = 12 + 3A

Subtract 24 from both sides to eliminate 24 on the left side

24 - 24 + 4A = 12 - 24 + 3A

4A = -12 + 3A

Subtract 3A from both sides so the unknown can be on one side

4A - 3A = -12 + 3A - 3A

A = -12

Check

6+(-12)/3 = 4 +(-12)/4

6 -12/3 = 4 -12/4

-6/3 = -8/4

-2 = -2

6 0
3 years ago
Read 2 more answers
What is 2% of $8936 compounded quarterly?
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The answer I got is 178.72. U divided $8,936 by 2%
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3 years ago
1 mile equals how many inches? 1 mile equals how many inches? Follow 28 answers 28 Report Abuse Are you sure you want to delete
Flura [38]
Hello there.

<span>1 mile equals how many inches? 

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</span>
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3 years ago
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