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lesya [120]
3 years ago
12

G(n) = |n|; Find g(-8)

Mathematics
1 answer:
Tom [10]3 years ago
8 0

Answer:

-8g

Step-by-step explanation:

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Falls, rises

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2 years ago
PLEASE HELP ME!
Tatiana [17]

Answer:

TRUE

Step-by-step explanation:

2x + 0.8/y = z – 4

x = 7, y = 0.2, z = 22

2×7  + 0.8/0.2 = 22 - 4

            14 + 4 = 18

                  18 = 18

TRUE.


6 0
3 years ago
Which Greek mathematician is known as the father of geometry
erastova [34]

Answer:

Euclid was a great mathematician and often called the father of geometry.

Step-by-step explanation:

6 0
3 years ago
Does anyone know how to simplify this expression? I know it has to do with properties of summation and special summation rules b
dusya [7]
<h3>Answer:     -n/(n+1)</h3>

============================================================

Explanation:

Let's expand this out up to say n = 6 terms

I'll write the summation in such a way that each (1/(k+1) - 1/k) grouping will get its own row. Each row has the same value of k.

If we plug in k = 1 through k = 6, but not evaluate just yet, we will have this:

1/(1+1) - 1/1

1/(2+1) - 1/2

1/(3+1) - 1/3

1/(4+1) - 1/4

1/(5+1) - 1/5

1/(6+1) - 1/6

All I've done so far is replace k with 1 through 6. Again, each row represents a different k value. Each row has the general format 1/(k+1)-1/k.

Let's simplify everything in the first column.

So the (1+1) turns into 2, the (2+1) turns into 3, and so on.

Doing that leads to...

1/2 - 1/1

1/3 - 1/2

1/4 - 1/3

1/5 - 1/4

1/6 - 1/5

1/7 - 1/6

Then note how we have the cancellations shown in the diagram below. The color coding shows how the terms pair up to cancel out. By "cancel out", I mean specifically that the fractions add up to 0. Eg: 1/2 + (-1/2) = 0.

Nearly everything cancels out. The only things left after the dust settles is the -1/1 in the first row and the 1/7 in the bottom row. This evaluates to 1/7-1/1 = 1/7 - 7/7 = (1-7)/1 = -6/7

If you were to try this with n = 7, then you should find that again nearly everything cancels but the fractions -1/1 and 1/8. Then 1/8 - 1/1 = -7/8.

For n = 8, you should end up with 1/9 - 1/1 = -8/9.

You can probably see the pattern.

A conjecture is that the answer is -n/(n+1). The general proof of this isn't too tricky. Simply follow the same ideas as mentioned above. Expand out a few terms and see how things cancel out. You'll find that everything cancels except for the -1/1 in the first row and the 1/(n+1) just one term before the very end. Then we can say:

1/(n+1) - 1/1

1/(n+1) - (n+1)/(n+1)

(1-(n+1))/(n+1)

(1-n-1)/(n+1)

-n/(n+1)

If we tried n = 6, then we find,

-n/(n+1) = -6/(6+1) = -6/7

which was the result we found earlier when we added the first n = 6 terms of this series. Trying out n = 7 should lead to -n/(n+1) = -7/8, and so on.

3 0
3 years ago
Running 7.0 mph, how many meters per minute is that equivalent to
inysia [295]
So 1 mile is 1.6km which is 1600m, so 7 miles is 11200 meters
and 1 hour is 60 minutes, so 

the answer is 
11200/60
or 560/3 meters per minute 
3 0
3 years ago
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