Given the position function, the velocity function is obtained by taking the derivative:
The velocity is increasing its own derivative is positive, so we also have to find the acceleration by taking another derivative:
To find when 
, we first need to know where 
:
The quadratic factor is always positive (its discriminant is negative), which leaves one solution at 
. To either side of , we have, for instance,
which indicates that 
is increasing for 
, making the answer A.
Answer:
15
Step-by-step explanation:
Let the number of adult tickets be x while children ticket be y. Since the total tickets were 20 then we can form the equation
x+y=20
Making x the subject then x=20-y
Considering the cost of each ticket
15x+10y=225
Substituting x with 20-y then
15(20-y)+10y=225
300-15y+10y=225
Collecting like terms
300-225=15y-10y
75=5y
Y=75/5=15
To find x, we already know that x=20-y hence x=20-15=5
Therefore, children tickets are 15 while adult tickets are 5.
The question only needs us to know the children tickets, y which is 15
Answer:
n=10
Step-by-step explanation:
P = 2n
P -5 = 1.5n, substitute P
2n -5 = 1.5n, subtract 1.5n and add 5 to both sides
2n -1.5n = 5, combine like terms
.5n = 5, divide both sides by .5
n= 10
By comparing equation
a=2,
x-h=x+1, -h=1, h=-1
k=-3
h=-1 move graph to the left (because h=-1 is negative) by 1 unit, h is moving to the left or to the right(horizontal shift)
a=2 vertical streaching
k=-3, k shows vertical shift , k=-3 moving 3 units down because it is negative
