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thank you so much  :)

9(11)*4(6)=99*24=2376

"A)State an interval in which the  x -coordinate of the maximum turning point on the graph of y=−x(x+2)(x−3)  must lie.

B)Use a numerical method to zoom in on this interval and hence estimate the position of the maximum turning point of the graph with the  x -coordinate correct to 1 decimal place."

Here's one approach:

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Yes of course!

100,00 or 0,01x(10)^4 what dou you meen? 

(sqrtx-1/sqrtx)^2

if x=sqrt3-sqrt2

\((\sqrt{x}-\frac{1}{\sqrt{x}})^2\\ =x-2+\frac{1}{x}\\ \qquad when\;\ x=\sqrt3-\sqrt2\\ =\sqrt3-\sqrt2-2+\frac{1}{\sqrt3-\sqrt2}\\ =\sqrt3-\sqrt2-2+\frac{1}{\sqrt3-\sqrt2}\times \frac{\sqrt3+\sqrt2}{\sqrt3+\sqrt2}\\ =\sqrt3-\sqrt2-2+(\sqrt3+\sqrt2)\\ =2\sqrt3-2\\\)

a bobsled has a constant acceleration of 1.35m/s2 starting from rest. how fast is it going after 5.10s?

\(v=a\times t\)

\(v=1.35\frac{m}{s^2}\times5.1s{\color{blue}=6.885\frac{m}{s}}\cdot \frac{km}{1000m}\cdot\frac{3600s}{h}=24.786\frac{km}{h}\)

\(The \ bob \ runs \ after \ 5.1 \ seconds \ at \ a \ speed \ of \ 6.885 \ \frac{m}{s}.\)

  !

We have four choices for the first digit

And the other digits can be permuted  in  P (6,3) ways  .....so....

4 * P(6, 3)  =  480    four  digit numbers

Are you vying for the King of stupid title? Keep up the good work.  You are a close contender!

| -4+6 |-12  =

l  2  l  -  12  = 

2  -  12  =

- 10

Here's the equation we need :

y  =  -1296  - 2.5x       where x is the number of years after 1970  and y is the elevation at any point in time

To   find out  how many years it took to reach an elevation of - 1371 feet, we have

-1371   =  - 1296  - 2.5x       add 1296 to both sides

-75   =  - 2.5x                    divide both sides by -2.5

30   =  x      i.e., 30 years after 1970   =  2000

If all toasters truely toast toast, then wouldn't toasted toast be cooked. If not toasted, then it is raw. Is there any meat you should eat raw? No! So if all toasters toast toast, don't risk it. Tapeworms are an ever-increasing problem. Be wary. Always toast your toast.

I believe that the "ghosts" are demons, so sort-of.

Let 'b' represent the number of Blue Rays

Since she bought 12 movies, we know that the number of DVDs is '12 - b'

So b + (12 - b) = 12

She spent $186, and the price of Blue Rays are $20 while DVDs are $14

So 20b + 14(12 - b) = 186

To find b, lets make the coefficient of b equal 20 in both equations

(b + (12 - b) = 12) * 20

20b + 20(12 - b) = 240

Now lets subtract the second equation from the first one.

  20b + 20(12 - b) = 240

- 20b + 14(12 - b) = 186

-------------------------------

6(12 - b) = 54

6(12 - b) = 54

  72 - 6b = 54

  72 - 54 = 6b

        (18 = 6b) / 6

           3 = b

We now know that there are 3 Blue Rays

And since the number of DVDs is 12 - b, we know that there are 9 DVDs

So therefore, Lisa bought 3 Blue Rays and 9 DVDs for $186

Call the number of $20  movies, x

Then the number of $14 movies  =  12 - x

And we have

20x   +  14  (12 - x)  =  186     simplify

20x   +  168 - 14x   =  186

6x + 168   =   186        subtract  168 from both sides

6x  =   18       divde both sides by 6

x  =  3    =  number of $20 movies

And   12 -  3   =  9     =  the number of  $14 movies

I'm sorry to hear that! I'll keep your family in my prayers tonight. God bless!

It won't. As others said, the * willl. The calculator takes letters as variables, so that would include 'x'.

12.5%   =  .125  =    125 / 1000   =    1 / 8

PX is the radius.......and the measure of the arc length  =

(1/4) * 2 *  pi * radius   =    pi /2  *  ( 5 m)  ≈  (5/2)pi m  ≈ 7.85 m

This uses spherical trigonometry with something called the "Haversine" function  ......here is a calculator to help :

http://www.movable-type.co.uk/scripts/latlong.html

Just enter the longitude and latitude of each point..........

If the "6.1"  is in radians, we have

√ [ 242.6^2  / sec^2(6.1) ]   ≈  238.541

If  "6.1"  is degrees ≈  241.226

[ Remember that  1 + tan^2 (theta)   =  sec^2 (theta)  ] 

You are very welcome. I hope you do well in your upcoming tests :)