Question

Can someone explain this real quick? Should be easy.. I'm just dumb lol (picture coming)

Answer 1

Still here? I'll teach ya.

Answer 2

Just let me know when you get here and I'll explain it.

Answer 3

That'd be awesome, thank you, I appreciate it

Answer 4

SORRY to intrude. Thought writing it out for you might help.

Graph the following inequality on the number line\[(x-3)(x-7)\le0\]

Answer 5

x^2-10x+21?

Answer 6

Thank you Dr. Lambert, that helps by no having to refer back to the image each time to check

Answer 7

WAIIIITTTT...... I'm an idiot. Ignore everything I said.

Answer 8

lol ok

Answer 9

Ok... sorry. What we REALLY want to do (and we only skip the parentheses because there's already (factor)(factor) <= (zero) ) is find the zeroes of the function. Go ahead and tell me what they are.

Answer 10

And thank you dr. lambert! That saves time. :D

Answer 11

+,- 1,3,7,21?

Answer 12

Not really. You just need to find the two values of X that when plugged into a parenthesis will equal zero.

Answer 13

In other words, you want this:
(0)(anythingelse) = 0
and
(anythingelse)(0)=0

So which two values will lead to this?

Answer 14

Does that make sense?

Answer 15

3 and 7

Answer 16

Perfect.

Answer 17

Now, if we were to draw a parabola on a graph, what significance do 3 and 7 have for us?

Answer 18

x is greater than or equal to 3 but less than or equal to 7?

Answer 19

I meant if we drew it on a graph, what is the point of finding the "zeroes"? Do you know?

Hint: because your x's result in zeros, this means that your points will be (3,0) and (7,0). What does this mean on a graph?

Answer 20

(hint: think intercepts)

Answer 21

Err.. I don't quite get what you're getting at

Answer 22

Well, tell me this: If we put those points on a graph, where would they be? The (3,0) and (7,0)?

Answer 23

On the x-axis.. right? At (3,0) and (7,0)

Answer 24

If we had y<=0, what portion of a graph would we color in?

Answer 25

in other words, which portion of a graph would have y values that are equal to or less than 0?

Answer 26

Everything positive?

Answer 27

Errr sorry sorry, negative

Answer 28

Kinda. Everything negative and.... what?

Answer 29

and equal to

Answer 30

Hint: y is less than or 'equal' to zero.

Answer 31

What I'm hinting at is that we want zero and everything below, right?

Answer 32

Also, if you meet me up here, it'll make more sense.

http://www.scribblar.com/vrkg0wkx

Answer 33

Ok sure, thank you, I really appreciate this!

Answer 34

No probs! I'm just glad that you're actually participating instead of just asking for answers. :P

Answer 35

heh yeah.. when I try to help people with what I can, they just want answers too ;D

Answer 36

Good work! For anyone wanting to see what was done, just check out the room linked above.