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y = 3 (x-2)^2 - 27

  = 3 (x^2-4x + 4) - 27

  = 3x^2 -12x + 12 - 27

  = 3x^2 -12x - 15

 = 3(x^2-4x-5)

y = 3 (x-5)(x+1)

How do you write this in general and factored form?

y=3(x-2)^2-27 ??

y = 30 = -4.9 t^2 + 200

     -170 = -4.9 t^2

     170/4.9 = t^2

      t = 5.89 sec when the ball is still 30 meters above the ground.

When the ball HITS the ground, y = 0       0 = -4.9t^2 + 200    results in t = 6.389 seconds

Then it says when is the ball dropped 30 meters above the ground? & when does the ball hit the ground?

OK...then it SHOULD read something like   y = -4.9 t^2 +200     t=x

-4.9(3)^2 +200 = 155.9

                           =

Volume of  sphere = 4/3 pi r^3

Radius of Earth = diameter / 2 = 7918/2 = 3959 mi

Radius of Core                        = 760/2    = 380

Radius of Mantle    =  radius of earth  - thickness of crust = 3959 -  5 = 3954

Volume of manltle = 4/3 pi rm^3 - 4/3 pi rc^3      rm = radius of mantle   rc = radius of core

                              = 4/3 pi (rm^3 - rc^3)

                              = 4/3 pi (3954^3 - 380^3) = 2.587 x10^11 cu miles  (approx)

Here's the thing. a tennis ball is dropped from the top of a tall building. The ball's height y, in meters, x seconds after it is released is y= - 4.9^2+200

There is no 'x' in the equation.....did you forget it???

7 1/4 x 2 x 1 1/4 + 7 1/4 x 3 1/2 =

29/4  x 2  x 5/4    + 29/4 x 14/4  =

(29 x 2 x 5 )/ 16  + (29 x 14) / 16 =

290/16 + 406/16 =

696/16 = 43 1/2

Seems an odd question, but here ya go:    611.97/50.98 x 100% = 1200.41 %

Slope = rise / run    = (4-7)/(-2-5) = -3/(-7) = 3/7

pH = -log[h3o] =  - log[.0088] = 2.056

Theta is a Greek letter.

'theta'   is gennerally used as an unknown angle   like   sin(theta) = 2/3      much the way 'x' is used as an unknown variable in an equation: x + 3 = 5

10   

Today, you borrowed $6,200 on your credit card to purchase some furniture. The interest rate is 14.9 percent, compounded monthly. How long will it take you to pay off this debt assuming that you do not charge anything else and make regular monthly payments of $120?

It will take you: 83.14 months, or 6.93 years, to pay off the entire $6,200 credit card loan.

Unendlich = infinity

You are planning to save for retirement over the next 35 years. To do this, you will invest $870 per month in a stock account and $470 per month in a bond account. The return of the stock account is expected to be 10.7 percent, and the bond account will pay 6.7 percent. When you retire, you will combine your money into an account with a 7.7 percent return.

How much can you withdraw each month from your account assuming a 30-year withdrawal period?

1) Your savings of $870 per month on your stock account will amount to =$35,552.60

2)Your savings of $470 per month on your bond account will amount  to  =$18,111.71

3)Your combined savings will amount to =$53,664.31

4)Your annual withdrawals will amount to $1,972.22 per year for 30 years @ 7.7% comp. annually.

28 pi

[7x-2y+15] -  [(5x+y) + (7+x)]=

Simplify the following:
7 x-2 y+15-((5 x+y)+(x+7))

-(7+6 x+y) = -7-6 x-y:
7 x-2 y+15+-7-6 x-y

Grouping like terms, 7 x-2 y+15-7-6 x-y = (-2 y-y)+(7 x-6 x)+(15-7):
(-2 y-y)+(7 x-6 x)+(15-7)

-2 y-y = -3 y:
-3 y+(7 x-6 x)+(15-7)

7 x-6 x = x:
-3 y+x+(15-7)

15-7 = 8:
Answer: |  -3y + x + 8

1) The PV of your payments AT THE END OF THE YEAR is =$110,970.33

2)The PV of your payments AT THE BEGINNING OF THE YEAR  is =$119,847.96

3) The difference between the two is: $119,847.96 - $110,970.33=$8,877.63

a relationship or expression involving one or more variables.

"the function (bx + c)"

The rate of return will be: 8.09% compounded daily. The formula you would use for this is this one:

FV=P{[1 + R]^N - 1/ R}=FV OF $1 PER PERIOD.Where R=Interest rate per period, N=number of periods, P=periodic payment, FV=Future value.

However, you cannot calculate the interest above DIRECTLY. My computer uses iterartion and interpolation to calculate that.