Answer:
50
Step-by-step explanation:
its a straight line so all the angles have to add up to 180
Answer: 5705 Footballs
Step-by-step explanation: Just subtract 11,795 by 4,150 to get the missing variable.
Answer:
$3,250
Step-by-step explanation:
You take the initial fee of 250 then add 75x40
250x75(40)=$3250
Answer:
I'm sorry, I don't know if I know this but you should try Desmos if you haven't already. It's great for helping with slopes and stuff like this
Hmm, the 2nd derivitve is good for finding concavity
let's find the max and min points
that is where the first derivitive is equal to 0
remember the difference quotient
so
f'(x)=(x^2-2x)/(x^2-2x+1)
find where it equals 0
set numerator equal to 0
0=x^2-2x
0=x(x-2)
0=x
0=x-2
2=x
so at 0 and 2 are the min and max
find if the signs go from negative to positive (min) or from positive to negative (max) at those points
f'(-1)>0
f'(1.5)<0
f'(3)>0
so at x=0, the sign go from positive to negative (local maximum)
at x=2, the sign go from negative to positive (local minimum)
we can take the 2nd derivitive to see the inflection points
f''(x)=2/((x-1)^3)
where does it equal 0?
it doesn't
so no inflection point
but, we can test it at x=0 and x=2
at x=0, we get f''(0)<0 so it is concave down. that means that x=0 being a max makes sense
at x=2, we get f''(2)>0 so it is concave up. that means that x=2 being a max make sense
local max is at x=0 (the point (0,0))
local min is at x=2 (the point (2,4))
