Answer:
t = -d/50 + 2
0.5 hour
Step-by-step explanation:
Given the equation:
d = 50 - 100t
The inverse function:
A.) solving for t
d = 100 - 50t
d - 100 = - 50t
Divide both sides by - 50
d/-50 - (100/-50) = - 50t/-50
-d/50 - (-2) = t
t = -d/50 + 2
B) using the inverse function:
t = -d/50 + 2
Miles driven (d) = 75, find time (t)
t = - 75/50 + 2
t = - 1.5 + 2
t = 0.5
t is in hours, therefore time left to travel is 0.5 hours or 30 minutes
Answer:
all work is shown and pictured
X = quarters
y = dimes
0.25x + 0.10y = 6.95 or 25x + 10y = 695
x + y = 44
25x + 10y = 695
25 (x + y = 44)
25x + 10y = 695
25x + 25y = 1,100
-15y = -405
y = 27 dimes
and 17 quarters
Y'sinx=ylny, is equivalent to <span>dy / dx (sinx=ylny, and </span><span>dy sinx=ylny dx
it is similar to dy/</span>ylny = dx/sinx
so integral (dy/ylny = integral dx/sinx)
integral dx/sinx)= Ln{abs value ( tan(x /2 + pi /4)}
integral (dy/ylny= ln(lny)
final answer is lny = {abs value ( tan(x /2 + pi /4)}+C, you can find y, or x
