hectictar

That's some pretty g-funky music in that first one Asad!   

(two to the power of three) to the power of three   =   512

two to the power of (three to the power of three)  = 134,217,728

It looks like each number is 2 times the previous number.

5, 10, 20, 40, 80, 160

Also...since they gave us the points    (-1, 0)    and    (5, 0)

These are the roots

So we can say

y = a(x + 1)(x - 5)

And plug in the point (0,5) to find a.

5 = a(0 + 1)(0 - 5)

5 = a(-5)

-1 = a

So....

y = -(x + 1)(x - 5)

y = -(x² - 4x - 5)

y = -x² + 4x + 5

The bucket must be rotated an angle of 180º   

LOL....CPhill I thought you had been vaccinated against CDD, and therefore " immune to personifications of stupid "   

Let's call the number of months that have passed " m " .

num. of people in hip-hop class = 13 + 9m

num. of people in step-dance class = 37 + 6m

What is " m " when    num. of people in hip-hop class = num. of people in step-dance class ?

What is " m " when          13 + 9m   =   37 + 6m      ?

13 + 9m = 37 + 6m         Subtract 6m from both sides of the equation.

13 + 3m = 37                  Subtract 13 from both sides of the equation.

3m = 24                          Divide both sides by 3.

m = 8

After 8 months, there will be the same number of people in each class. :)

....However.....instead of the two classes competing, maybe they should join together, like this?

If you just want to know how to put this in the calculator..........

x = ( -b ± √( b^2 - 4ac ) ) / ( 2a )          Make sure " 2a " is in parenthesees, otherwise the " a " goes in the numerator.

x = ( -(-7) ± √( (-7)^2 - 4(3)(-2) ) ) / ( 2(3) )

You can type it, or just copy and paste this, into the calculator on the home page like this...

First solution:          ( -(-7)+sqrt((-7)^2-4(3)(-2)))/(2(3))

Second solution:     ( -(-7)-sqrt((-7)^2-4(3)(-2)))/(2(3))

So...you should get

x ≈ 2.591          and          x ≈ -0.257

10%  of  $84    =    10/100  *  $84    =    $840/100    =    $8.40

AE * EB   =   CE * ED

12 * 22    =   8 * x

264   =   8x                   Divide both sides by 8 .

33     =   x