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Mathematics 8 Online
Nicole:

http://prntscr.com/l6eh7i

Nicole:

@mhchen @kittybasil

kittybasil:

mhchen is currently busy

dude:

\((5x^2-2x+1)-(3x-4)\) Distribute the - and then combine like terms

Nicole:

A?

dude:

Right

Nicole:

http://prntscr.com/l6ejb0

dude:

\(\large(\frac{b}{2})^2\) Knowing that \(f(x)=ax^2+bx+c\) Substitute and simplify

Nicole:

Im not sure can you explain pls

Nicole:

@dude

Nicole:

@mhchen

dude:

Sorry about that Im about to head out, do you know the b value of the equation they gave you?

Nicole:

No lolol

Nicole:

@mhchen can u help?

mhchen:

So like a perfect square trinomial is x + (2b)x + (b^2) Here 2b = 3. Find b^2

Nicole:

B?

Nicole:

or D?

mhchen:

none. Did you even try to solve for b in my equation?

mhchen:

If 2b = 3 b = (3/2) and b^2 = (3/2)^2 = (9/4) understand?

Nicole:

Ohhh okay I see, got it

Nicole:

http://prntscr.com/l6ez78 how about this

mhchen:

okay so this one is a little bit harder. In order for it to have 2 real solutions. It has to be simplified into (x+a)(x+b) and to get there we need it in this form: ax^2 + bx + c = 0 X + Y = b X*Y = a*c

mhchen:

Here. b = -3. a = 1 If c = -4 then X could be -4 Y could be 1 X+Y = -3 X*Y = -4 so -4 would fit

Nicole:

http://prntscr.com/l6f4j2

mhchen:

A graph gets narrower when a gets higher: \[y= ax^2\] Which one of those is bigger than 5?

Nicole:

D

mhchen:

ye

Nicole:

http://prntscr.com/l6f69m

mhchen:

Roots are where the line crosses the x-axis. Do you know where they are?

Nicole:

-2 and 3

mhchen:

yea

Nicole:

http://prntscr.com/l6faqx

mhchen:

So the vertex of any quadratic function y = ax^2 + bx + c is \[\frac{-b}{2a}\] Here b = 4 a = -2 Can you find \[\frac{-b}{2a}?\]

Nicole:

1?

mhchen:

yes

Nicole:

http://prntscr.com/l6fkaf

mhchen:

So a side is 's' Another side is 's+16' Area = (s) * (s+16) which one of those is (s) * (s+16)?

Nicole:

im thinking D

mhchen:

Well actually s(s+16) = s*s + s*16 = s^2 + 16s

mhchen:

That last image. I assume it's d. Every time x increases by 4. y increases by 3. Also it's positive. And the y-intercept is 5.

Nicole:

@mhchen

mhchen:

The first one. if you look at the original graph. There's the points (0.-2) and (4.0) On the inverted graph it'll have (-2.0) and (0.4)

Nicole:

http://prntscr.com/l6g4j4

Nicole:

1 and 2?

Nicole:

there isnt a choice for 1 and 2

Nicole:

@Vocaloid

mhchen:

Oh I'm sorry I was thinking about whole numbers (my bad) It's only 2. natural numbers are 1 2 3 4 5... whole numbers are 0 1 2 3 4 5... I'm an idiot sorry

Nicole:

ohh ok lolll are these right http://prntscr.com/l6ga1z

Nicole:

@dude @mhchen

dude:

Yeah they're right

dude:

Make a new post, this is getting too crowded

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