Melody

Given any positive even integer, x, the positive difference between the smallest odd number greater than 7x-2 and the largest odd number less than  3x+5 can be written in the form ax+b . What is a+b?

x is even so any muliple of x is also even so

7x-2 is even    and     3x+5 is odd

The smallest odd number greater than 7x-2 is     7x-1

The largest odd number less than 3x+5  is           3x+3

(7x-1)-(3x+3)

=7x-1-3x-3

=4x - 4 

4+ -4 = 0

Why do you classify the question as stupid ?

I do not think your question is complete Juriemagic.

Anyway your question is presumably in degrees.

the amplitude is 'a', the wavelength is 720 degrees  (2pi radians)

and the diplacement is 30 degrees to the right

You can multiply through by the lowest common denominator ,but then you have divide the answer by the same number. 

You did not do that.

Yes

\(\frac{1}{6}(x^2-9x-2x+18) = \frac{x^2-11x+18}{6}\)

Hi Juriemagic,

You can multiply by 6/6  but multiplying just by six makes it 6 times bigger

What you can do is this

\(\frac{6}{6}*\left[{x^2 \over 6}-{3x \over 2}-{x \over 3}+3\right]\\ =\frac{1}{6}*\left\{\frac{6}{1}*\left[{x^2 \over 6}-{3x \over 2}-{x \over 3}+3\right]\right\}\\ =\frac{1}{6}(x^2-9x-2x+18)\)

You are wwelcome.  Do you know if my answer is correct?

This is a semi educated guess, I am not knowledgable about electricity.

Let  E= k/d       and    C=md    whee  k and m are constants. (but we do not need to worry about C.)

and d is the distance between the chages. 

Initially  

\(\frac{k}{d}+\frac{k}{d}+\frac{k}{d}=\frac{3k}{d} = 15J \)

Now move the charge and the distances become    d/2, d/2  and d

so new energy is

\(\frac{k}{d/2}+\frac{k}{d/2}+\frac{k}{d}=\frac{5k}{d} = 15*5/3\;Joules = 25J \)

So if my reasoning is correct there will be 10 more Joules of energy.

Where is the pic?

Like this

This is only a section of the graph, the steps keep going.

2 to the power of any number must be greater than 0

3* a number that is greater than 0 is greater than 0

-4 and the outcome must be greater than -4  

Hence the range will be  y>-4  with and asymtote at  y=-4

CHECK