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Where was my head?  You are absolutely right !!!     [BXY]/[ABC] = 36/162 = 2/9

Thank you CPhill

I actually got 2/9😎

h(7)    = 5

(The point (7,5)  is  on the  graph)

So

h ( h(7) )  =     h (5)

And   h(5)  =   -1

(The  point  (5,-1)  is  on the  graph )

So

h (h(7))   = h (5)  =  -1

[BXY]/[ABC] = 1/27

Thank you

We are looking  for  the  x  value associated  with  the  y value of  4

This is x =  3

In other words.....f(3)  =   4

y  = 94°

The  remaining arc  =   360  - 2 * 94   =  172°

Angle  z   =  172/2  =  86°

z = x = 86 degrees

We  have two chances  in ten  on each draw of selecting  a black  marble

2/10  *  2/10   =   4 / 100  = 1/25   =    4%  chance

time 't' to max height  =   - b/2a    where b = 60   a = -16

Use the value of 't' in the equation to calculate the maximum height at this time

c)     0   is height when ball hits the ground

      0 = -16t^2+ 60t + 6        use quadratic formula to solve for 't'    throw out negative 't' value

d)   t = 0   when ball is thrown into the air

         the equation becomes   height = 6 ft   

I think you have it!  Good work!

For any quadratic  \(ax^2+bx+c\)

\(\text{if the roots are } \alpha \text{ and } \beta \)

then

\(\alpha+\beta = \frac{-b}{a}\)

and

\(\alpha\beta = \frac{c}{a}\)

So in this case the roots multiply to 2008/1 =2008

Tysm!

Oh wait I think I understand

When you use foil to expand, you multiply the variables together, then the sum of the products of the inside and outside terms, and the constants. Example: (x+2)(x-3)=x^2-x-6. 

Because of this, we need to factorize 2008, so for the middle term we get  x+2008x=2009x, 2x+1004x=1006x, 4x+502x=506x, 8x+251x=259x, and we take the smallest coefficient and that's our answer

Squares => 1, 4, 9, 16, 25, 36...

There is only really one answer and it's 16 and 25. Their sum is 41 and their difference is 9. 

I believe ive done this problem before, but I might have forgotten the approach :(. All I need is a push on how to start. Thanks!

Since you do not understand you will need to ask Textot to explain.

thanks for your response jxc.     

I think you factor 2008, and using FOIL you find that (8,251) is the smallest

I might be wrong though

ok lemme get my paper...

\(\frac{-b+\sqrt{b^2-4ac}}{2a}-\frac{-b-\sqrt{b^2-4ac}}{2a}\Rightarrow \frac{-b+b+\sqrt{b^2-4ac}+\sqrt{b^2-4ac}}{2a}\Rightarrow\frac{2\sqrt{b^2-4ac}}{2a}\Rightarrow \frac{\sqrt{b^2-4ac}}{a}\Rightarrow \frac{\sqrt{61}}{3} \implies \boxed{a=3}\)

I might have explained it a little thinly on accident

jxc, please explain to us how Textot got his answer.   Explain the reasoning behind it.

If you do not know then ask Textot questions about it.

Encourage or even push him/her to guide you through it.

You responded only after I complained on other posts, \

You posted this question afterwards.

If "(5x10^2)+(2x10^3) is the denominator

 = 1/(500 + 2000)

 = 1/2500 or 0.0004

If this --> (1/(5x10^2)) + (2x10^3) is what you meant:
 = (1/500) + 2000

= \(2000\frac{1}{500}\)  or 2000.002

Replied 

Thanks! :)