What is the slope of the line show below?

Mathematics

1 answer:

stellarik [79]4 years ago

6 0

Algebra form: y1 - y2, and x1 - x2.

( 2 - 1 ) ( 6 - 3 ).

= 1/3.

slope = 1/3.

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2. What is an

victus00 [196]

Answer:

the awnser should be. slow and fast

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Clfloor%5Cdfrac%7Bx%5E2%2B1%7D%7B10%7D%5Crfloor%2B%5Clfloor%5Cdfrac%7B10%7D%7Bx%5E2%2B1%7D%5

GrogVix [38]

Answer:

See below

Step-by-step explanation:

This equation is solved if one of the following 2 conditions is met

(x² + 1) / 10 is between 1 and 2

and

10 / (x² + 1) is between 0 and 1

<u>Solve this:</u>

1 < (x² + 1) / 10 < 2
10 < x² + 1 < 20
9 < x² < 19
3 < |x| < √19
x ∈ (- √19, - 3) ∪ (3, √19)

0 < 10 / (x² + 1) < 1
x² + 1 > 10
x² > 9
|x| > 3

Solution for this case is x ∈ (- √19, - 3) ∪ (3, √19)

(x² + 1) / 10 is between 0 and 1

and

10 / (x² + 1) is between 1 and 2

<u>Solve this:</u>

0 < (x² + 1) / 10 < 1
0 < x² + 1 < 10
- 1 < x² < 9
0 ≤ |x| < 3
x ∈ ( - 3, 3)

1 < 10 / (x² + 1) < 2
x² + 1 < 10 ⇒ x² < 9 ⇒ |x| < 3
x² + 1 > 5 ⇒ x² > 5 ⇒ |x| > √5

Solution for this case is x ∈ (- 3, - √5) ∪ (√5, 3)

8 0

3 years ago

Pls just say how to find the right graph of the function

ElenaW [278]

The period of an function, is how many times it takes to complete one cycle, if the period is 2π then after 2π the function would have been completed one entire cycle, but what I mean by cycle?

It's when the function start again, these functions are called periodic functions for a reason, after between that interval, the function goes up, goes to 0 again, go down and finally goes zero again, it means a cycle! the function goes up, down and then return to the same point.

If you look at the picture, the function took 2π just to go up and zero, it needs more 2π to go down and return to zero, then it's period is 4π.

The bottom function complete its cycle in just π!

I hope you liked it, maybe the draw will help you!

Any doubt? just write in the comment and I'll help you.