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Both are necessary for life.

I think basically, this is saying smith and jones must be next to each other

   there are 5 ways to make that happen in 6 time slots

     the other 4 time slots can be distributed 4! ways      5 x 4!   = 120 ways  

Thanks for your help! I think I figured it out!

Hi Roses, welcome to web2calc forum   

A guest answered this here : https://web2.0calc.com/questions/help_44729, but it's incorrect

The longest somebody has lived without sleep is 11 days. The longest for eating is 54 days. So sleep is more crucial and needed more to live.

Hey guest! Honestly, in my opinion, as long as you eat enough, then sleep typically > eating. However, in a life or death situation, eating would probably be more important than sleeping(as long as you don't die from sleep deprivation ofc)

eat food = good

sleep=bad

YOU are right....I edited my answer above to correct my mistake !!!!  

With no restrictions, 8 identical Cherry candy can be distibuted in:

[8 + 4 - 1] C [4 - 1] =11 C 3 = 165 ways

With no restrictions, 7 identical Melon candy can be distributed in:

[7 + 4 - 1] C [4 - 1] =10 C 3 =120 ways

165 + 120 =285 ways.

Zeta(3) =1.202056403 = ~Pi^3 / 25.8

Zeta(5) =1.036927755 = ~Pi^5 / 295

Sorry the roots should be -3 and -2 I believe Pavlov

I have tried... that's why I'm asking.

drfb

As guest above showed...this can factor into   (x+4)(x+12)     or    (x-4)(x-12)     to keep the root ratio 3:1

   this would make b =  16       or    -16

      the largest would be    b=  16

LHS =Take the square root of 3 =[1.7320508.... / 2 + 1] / 2 =0.9330127018.....Now take the square root of this: Sqrt(0.9330127018) =0.9659258262890. Then take the arccos of this in radians:arccos(0.9659258262890) =0.26179938779914943653855361527329 = Pi / 12. And that is it !.

Just like CalTheGreat said, the graph of that equation would be exponential, not linear. Therefore it is D, nonlinear.

So CAN they be on the same line? Or can they not?

When is this due? I sense a feeling of urgency here!

It factors to (X+4)(X+12) = 0  so the largest value is –4. 

If you add two polynomials together, you cannot end with a polynomial of higher degree than the highest degree one you started with.

Therefore, the maximum possible degree of the sum of two seven-degree polynomials is seven.

However, you can end with a polynomial that has a lower degree; so, if you start with two seven-degree polynomials, you can end with a sum that has any degree from seven down to zero.

For example:  if  f(x)  =  3x⁷ + 16x² - 9  while  g(x)  =  -3x⁷ - 16x² + 2,  the sum of the two polynomials is -7, a constant polynomial that has degree zero.

So, the product would be zero.

But you have already solved the problem! All you have to do is to take the arccos of the Left Hand Side and that gives you =Pi / 12, which  equals The Right Hand Side of =Pi / 12.

Use the distance formula      d^2 = (x1-x2)^2 + (y1-y2)^2

                                              d = sqrt ((x1-x2)^2 + (y1-y2)^2))

                                            2 sqrt10 = sqrt ((2a-4)^2 + (a-4 - - 1)^2

                                                           =  sqrt (4 a^2-16a+16+ a^2-6a+9)

                                                sqrt40    = sqrt(5 a^2 -22a +25)

                                                     40 = 5a^2-22a+25

                                                      0 = 5a^2-22a-15       from quadratic formula   a = 5   or -0.6      You can multiply them together....