The complete question is;
A paintball court charges an initial entrance fee plus a fixed price per ball.
P represents the total price (in dollars) as a function of the number of balls used n.
P = 0.80n + 5.50
How much do 10 balls cost?
Answer:
Cost of 10 balls = 8 dollars
Step-by-step explanation:
We are told that;
total price in dollars is given as a function of the number of balls
p = 0.8n + 5.5
Where n is number of balls.
We are told that the price above is price of number of balls plus entrance fee.
Thus, 5.5 dollars is the entrance fee while 0.8n dollars is the price for n number of balls.
Thus,for 10 balls,
Price of 10 balls will be 0.8 x 10 = 8 dollars
Step-by-step explanation:
are you sure the fuel consumption is given by 6,8 km/l ?
normally it is given by l/100km.
but ok, let's assume this is correct.
it would mean the car can drive 6,8 km with every liter of fuel in the tank.
how many liters will the car need to go 450 km ?
well, as many liters as 6,8 fits into 450 :
450/6,8 = 66.17647059... liters
this is not a very fuel efficient car ...
Chain rule
y=f(g(x))
y´=(d f(gx)/d g)(d g/d x)
or
y=y(v) and v=v(x), then dy /dx=(dy/dv)(dv/dx)
in our case:
y=sin (v)
v=arcsin(x)
dy/dv=d sin (v)/dv=cos (v)=cos(arcsin(x)
dv/dx=d arcsin(x)/dx=1/√(1-x²)
dy/dx=[cos (arcsin(x))]/√(1-x²)
Answer: d sin(arcsin(x))/dx=[cos (arcsin(x))]/√(1-x²)