Step-by-step explanation:
value of x is 7
hope this answer helps you dear....take care!
Answer:
96 km/hr
Step-by-step explanation:
Average number of kilometers per hour = 4,608 km / 48 hours
Average number of kilometers per hour = 96 km/hr
Answer:
That would be infinity. Both sides of the equation are 4x. Therefore anything you plug in for x would work
Answer:
1.5 =x
Step-by-step explanation:
3/4=6.5/13x
Multiply each side by 13/6.5 to isolate x
13/6.5 *3/4=13/6.5 *6.5/13x
1.5 =x
Take the deritivive
remember
the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/(g(x)^2)
so
deritiveive is ln(x)/x is
remember that derivitive of lnx is 1/x
so
(1/x*x-1lnx)/(x^2)=(1-ln(x))/(x^2)
the max occurs where the value is 0
(1-ln(x))/(x^2)=0
times x^2 both sides
1-lnx=0
add lnx both sides
1=lnx
e^1=x
e=x
see if dats a max or min
at e/2, the slope is positive
at 3e/2, the slope is negative
changes from positive to negative at x=e
that means it's a max
max at x=e
I realize I didn't find the max point, so
sub back
ln(x)/x
ln(e)/e
1/e
the value of the max would be 1/e occuring where x=e
4th option is answer (1/e) because that is the value of the maximum (which happens at x=e)