Answer:

Step-by-step explanation:
Given: 
We need to completely isolate
to solve.






Finally, multiply both sides by -2 to completely isolate
.

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
a/b * b/c * c/d * d/e is equal to a/e provided that b, c, d,
and e are not zero
PROVE
a/b * b/c * c/d * d/e
= (a/b *b/c) * (c/d * d/e)
= ab/bc * (c/d * d/e)
= a/c * (c/d * d/e)
= a/c * (cd/de)
= a/c * c/e
= ac/ce
= a/e
Therefore, a/b * b/c * c/d * d/e is equal to a/e provided that
b, c, d, and e are not zero
9514 1404 393
Answer:
y = -x +3
Step-by-step explanation:
The point-slope form can be a useful place to start.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
You require the line ...
y -(-4) = -1(x -7)
y = -x +7 -4 . . . . . . . . eliminate parentheses, add -4
y = -x +3 . . . . . . . . . slope-intercept form