Minus 2 from bothsides
f-2=3g
divide both sides by 3
(f-2)/3=g
g=(f-2)/3
Answer:
r = 225 Mil/h speed of the airplane in still air
Step-by-step explanation:
Then:
d is traveled distance and r the speed of the airplane in still air
so the first equation is for a 4 hours trip
as d = v*t
d = 4 * ( r + 25) (1) the speed of tail wind (25 mil/h)
Second equation the trip back in 5 hours
d = 5 * ( r - 25 ) (2)
So we got a system of two equation and two unknown variables d and
r
We solve it by subtitution
from equation (1) d = 4r + 100
plugging in equation 2
4r + 100 = 5r - 125 ⇒ -r = -225 ⇒ r = 225 Mil/h
And distance is :
d = 4*r + 100 ⇒ d = 4 * ( 225) + 100
d = 900 + 100
d = 1000 miles
Answer:
f(w) = $100 + $15*w
Step-by-step explanation:
The first $100 she deposited remain always the same, they don't change depending on the weeks. What increases along the weeks are the $15.
In the first week she will deposit $15, so she will have $100 + $15 = $115.
On the second week she will deposit $15 more, so she will have $115 + $15 = $130. Another way of writing this is $100 + $15 + $15 = $100 + $15*2.
On the third week she will have $100 + $15 + $15 + $15 = $100 + $15*3.
Therefore, after w weeks, she will have $100 + $15*w.
The function we are looking for is f(w) = $100 + $15*w
