The initial payment per month being 30 and each movie being 2.50 means that if the total payment is 45 then you pay for 6 movies per month, 30x+6(2.5x)
You have 2 options.
I will show you the most efficient one, but later I will tell you the other.
-4x+6y=12
6y=4x+12
y=4/6x+12
y=2/3x+12
This tells us the point (0,12) as 12 is where it meets the y-axis (that is why you add it)
And then using the slope, 2/3 we can get (2,15) (which is up 3, right 2)
Just graph those, I would show you exactly, but I cannot add attachments sadly.
The other way (which I won’t show it all as the results would end out with the same line) is to fill in x, then y, with 0
So -4*0+6y=12 which means x=0 and you are solving for y and -4x+6*0=12 which means y=0 and you are solving for x
G(x) = (x^2-6) / 2x
<span>g( n-5) = ( [n-5]^2 -6) / 2(n-5) </span>
<span>= ( n^2 -10n +25 -6 ) / 2(n-5) or ( n^2 -10n +25 -6 ) / (2n-10) </span>
<span>Your Answer </span>
<span>I did foil first and got n^2-10n+25 </span>
<span>then did 25-6 to get 19. </span>
<span>so n^2-10n+25 is on top.////// should have been n^2 -10n +19 </span>
<span>and the bottom is 2(n-5) so I distributed the 2 and got 2n-10 </span>
<span>so n^2-10n+25 </span>
<span>2n-10 </span>
<span>= (n^2 -10n +19) / 2(n-5)</span>
