Answer:
Step-by-step explanation:
we have
we know that
The function composition is equal to
(r ∘ s )(x) = r(s(x))
In the function r(x) substitute the variable x by the function s(x)
so
For x=3
substitute the value of x=3 in the function composition
9514 1404 393
Answer:
(6.2, 4.5)
Step-by-step explanation:
We want, for some point P, ...
(P -A) / (B -P) = 1 / 3
3(P -A) = (B - P) . . . . . multiply by 3
4P = B +3A . . . . . . . . add P+3A
P = (B +3A)/4 . . . . . . .divide by 4
Filling in the coordinate values, we can find P to be ...
P = ((2.3, 5.4) +3(7.5, 4.2))/4 = (2.3+22.5, 5.4+12.6)/4
P = (6.2, 4.5)
Answer:
It would take 50 minutes
Step-by-step explanation:
<u>Distance, velocity and time</u>
The speed is the rate at which the distance changes with respect to time. If x is the distance, t is the time, the speed v can be obtained by
We know the trip takes 40 minutes when traveling at 50 miles/hour. The distance can be determined by isolating x in the above equation
The given time is expressed in minutes, we need to convert it to hours. 40 minutes is . The distance is
If the speed was 40 miles/hour, the same distance would be covered in t hours, taken from the above equation as