This can be treated as a work problem and we can solve it as follows:
Harland working alone = 15 minutes
Trudy scatters the leaves + Harland rakes = 20 minutes
We set scattering as a negative value.
1/15 - 1/x = 1/20
x = 60 minutes for Trudy to scatter the leaves alone
Answer:
x=8.75
Step-by-step explanation:
The price x that maximizes profit is the maximum value of the function, and the maximum value of the function is located at a point where the first derivative of the function is equal to zero. The first derivative is:
Using P'(x)=0:
The minimum value of the function is also at a point where the first derivative of the function is equal to zero. To differentiate if x=8. is a minimum or a maximum obtain the second derivative and evaluate it at x=8.75 if the value P''(x)>0 x is minimum and if P''(x)<0 x is a maximum.
Evaluating at x=8.75:
Therefore, x=8.75 is the maximum value of the function and it is the price that maximizes profit.
Answer:
41, x=-5
Step-by-step explanation:
m<DEY = m<FEY, by angle bisector theorem
(9x-4) = 41
9x = 45
x = 5
m<DEY = 41
The first dot would be on the origion(the middle) and the second dot would be on top right box and go left from the positive 4 up to the other positive 4