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tha is okay - why don't you join up.  ??

Maybe you already have?

hi people hows it goin

-3 x +12>-6    subtract 12 from both sides

-3x > -18        divide both sides by -3 (remember that we have to "reverse" the inequality sign when we divide by a negative !!!).....so we have......

x < 6

I wondered what the relevance was of partial derivatives - now i have a better idea - thanks Alan. 

$$\\F=\frac{Gm_1m_2}{r^2}\\\\
F=\frac{9.8*7*7}{2^2}\\\\$$

and I guess the units have to be

$$\frac{m}{s^2}\times\frac{kg^2}{m^2}=kg^2/(ms^2)$$

You can finish it :)

Or that you can't have a negative value under an even root........

OK...so we have

2.5 = 10(1 - e^k5)   divide both sides by 10

.25 = 1 - e^k5          rearrange

 e^k5    =  1 -.25

e^k5  = .75     take the ln of both sides

ln e^k5   = ln .75      and by  log property, we can write

k5  = ln.75            divide both sides by 5

k =ln.75 / 5 = -.0575

For $700 of expenditures, we have

S = 10(1 - e^(7*-.0575) ) =  about 3.3135 or about 3314 units

(Actually...I rounded "k"....the answer is really about 3315 units !!)

$$x=5\qquad
S=2.5$$

befor i go any further are these the numbers you used?

you just look for what x and y can and cannot be.

Often it has to do with the fact that you cannot divide by zero. :)

I don't see any thing "tricky" about it, either..... (???)

yea they are all the same

gradient =gradient        LOL 

Why is it a trick question?   

With one gallon it travels 10 * 5280 ft = 52800 ft

One ounce is 1/128th of a gallon, so it travels 1/128th of 52800ft = 412.5 ft

I like that, Melody........I'm gonna' steal that one from you....!!!!!

60mph is 88 ft per second

12mph is 1/5 of this  = 88/5 ft/s = 17.6 ft/s

I start all these problems  with 

$$\begin{array}{rll}\\
gradient&=&gradient\\\\
\frac{y-0}{x-4}&=&\frac{-3}{2}\\\\
y&=&\frac{-3}{2}(x-4)\\\\
\end{array}$$

trick question , melody where you at ? hahha

(7+2)*100+50-3

Gino cannot give away all his knowledge in one go mathematician.

It is like treasure - it is more fun when you dig for it.     LOL

Thanks Mathematician :)

Hm...I'm going to think about it a bit more, and see if I can come up with a more formula-like way. If I do I'll tell you!

58 = 4(11) + 2(7)

60 = 1(11) + 7(7)

61 = 3(11) + 4(7)

59 is the answer...to see this.....keep subtracting 7s or 11s from it....no resulting number is divisible by 11 or 7

 Also.....the equation of the line  z = 7x + 11y  would pass through all the values except z = 59

Use the calculator at this site to add those three numbers together; then divide that sum by 3.

Thanks Gino,  

Mathematician, I think it has to be a systematic analysis but getting it organised properly is the tricky bit :)

Neat analysis, Melody!