Answer:
Local minimum at x = 0.
Step-by-step explanation:
Local minimums occur when g'(x) = 0 and g"(x) > 0.
Local maximums occur when g'(x) = 0 and g"(x) < 0.
Set g'(x) equal to 0 and solve:
0 = 2x (x − 1)² (x + 1)²
x = 0, 1, or -1
Evaluate g"(x) at each point:
g"(0) = 2
g"(1) = 0
g"(-1) = 0
There is a local minimum at x = 0.
Answer:
y = 50 + 25x.............(i)
y = 80 + 15x.............(ii)
x = 3
y = 125
Step-by-step explanation:
The tucker Gym charges a one time fee of $50 plus a $25 monthly membership charge.
The NoFo health club charges a one time fee of $80 plus a $15 monthly membership fee.
Let
number of month = x
total cost = y
Tucker Gym
y = 50 + 25x.............(i)
NoFo Gym
y = 80 + 15x.............(ii)
combining the equation
y = 50 + 25x.............(i)
y = 80 + 15x.............(ii)
y - 50 = 25x
y/25 - 2 = x
insert x in equation (ii)
y = 80 + 15(y/25 - 2)
y = 80 + 3y/5 - 30
y = 50 + 3y/5
y - 3y/5 = 50
5y - 3y/5 = 50
2y/5 = 50
cross multiply
2y = 250
y = 250/2
y = 125
insert y in equation (i)
125 = 50 + 25x
125 - 50 = 25x
75 = 25x
x = 75/25
x = 3
each gift =$10
total=y
number of gifts =x
therefore,total= each gift * number of gifts
=$10* x
