Melody

in business.

You may need one variable for quantity, one for cost (as a function of quanity) and one for revenue (as a function of quanity)

Put these together and you can make a model for profit.

A polynomial has exactly 7 roots. The graph tends towards positive infinity in both directions. Write down some information about what you know about his polynomial.

MMm 

Well the leading coefficient is positive.

The degree is even and great or equal to 8.

That is about all I have I guess.

I was thinking there are exactly 7 real roots (plus some imaginary ones) but maybe you mean exactly 7 roots which includes real and imaginary.

If that is what you mean then my answer is not correct.

If it has exactly 7 roots then one of the roots must be a double.

It will have a degree of 8 (or more if there are more double roots, degree must be even )

Definitely a positve leading coefficient.

That is my 2 bob worth! :)

Thanks Chris but that is exactly what guest and I already did.

I guess it must be 3 times lucky!

Thanks Chris,

Silly me, I did not see the doubling his money bit of the question!

Of course my answer has to be doubled to get that profit! 

Hi Tertre, 

Clint's Cowboy Shop buys horse feed for $10  per cubic meter ( ). Clint's customers don't like the metric system, so they'll only buy horse feed by the cubic foot. How many cents should Clint charge for a cubic foot () in order to double his money? (Assume 1 meter equals 3.28 feet and answer as a whole number of cents.)

if 1 metre = 3.28 feet then    1 metre cubed = 3.28^3  cubed feet

\(\frac{10 dollars }{1\not{m^3}}\times \frac{1\not{m^3}}{3.28^3feet^3}=\frac{10}{3.28^3}\;\frac{dollars}{feet^3}\\ =28c/cubic foot\)

It is actually a little more than that so he might get a good deal :)

See how I have used the units to help me?  Units can be cancelled out just like numbers can be.

In this case I cancelled out so the m^3 cancelled out.

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

There is another way of looking at it that I probably should have showed you first.

Many people do not understand the full implications of what division means.

In this case you want  to convert dollars per metre to dollars per square foot.

You know is its $10 per cubic metre so it Must be $10 per 3.28^3 cubic feet.

per is divide!  It is just a division.

Or to put it another way.

If $10 is divided into 3.28^3 bits, how big is each bit?

10 divided by 3.28^3

18)  factorial question

Well it is kinda strange how most of the time your English is perfect and then when you try to tell me you are not who I think you are that suddenly to write like English is your second language. 

Come on Ginger, you are smarter than that!

Actually this makes sense.

This is the question....if 7 dogs consume 3 bags of food in 12 weeks, how many weeks will it take 10 dogs to consume 3 bags?

When you are working our problems, usually rates problems, you can use the units to help you work out what you need to do.

here     7dogs*3bags*12weeks = 7*3*12  dogs bags weeks

The units are  dogs bags weeks

So yes, this must equal

          10dogs*3bags*y weeks = 7*3*y  dogs bags weeks

7*3*12 = 10*3*y

etc :)

I have not used this units method for a question quite like this before. ://

Try it on a few different questions, I mean just change the numbers around and check it works Juriemagic. :))  I think you will find that it does.

Using the units in questions  is often extremely helpful.

How old are the children ??

Solved by the distinguished super sleuth Ginger !!