Answer:
6 knots
Step-by-step explanation:
Let the speed be v knots
then time taken to cover 500 M = 500 / v hrs
fuel consumption /hr = 216 + 0.5v^3
let F be the fuel consumption for trip
= [500/v][216 + 0.5v^3]
= 500[216/v + 0.5v^2]
dF/dv = 500[ - 216/v^2 + v]
d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve
so setting dF/dv will give a minima
500[ -216/v^2 + v] = 0
or v = 216/v^2
or v^3 = 216
solving, we get v = [216]^(1/3) = 6 knots
Step-by-step explanation:
Nadia's is 41 years old.
Since someone answered wrongly I'll try to give the correct answer without the given xs. It won't matter. We're looking for a set of points which satisfy
y = f(x) = x² + 3
A. f(7)=7² + 3 = 52, not -2, so not A.
B. f(-2)=(-2)² + 3 = 7, not 1, so not B
C. f(-2)=7, that's good so far.
f(-2)=(-1)²+3=1+3=4, good
f(0) = 0²+3 = 3, good
f(1)=1²+3 = 4, good
f(2) = 2²+3 = 7, good
Answer: C
We'll rule out D. f(1)=1²+3=4, not -2, so not D.
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Step-by-step explanation: