Answer:
the answer is 12-345
Step-by-step explanation:
14-6284
2057-358
2947-382
All you have to do is move -x to the right side and -12 to the left side to remove the negative sign.
-x<-12 (Original)
0<-12+x (Add x to both sides)
12<x (Add 12 to both sides)
The answer is 12<x, or you can write it as x>12.
Answer:
false
Step-by-step explanation:
Step-by-step explanation:
y = -x/2 - 1
the y-intercept is right there : -1.
it is the y-value when x = 0
the point of y-intercept is therefore (0, -1).
the x-intercept is the other way around. it is the x- value when y = 0.
0 = -x/2 - 1
1 = -x/2
-2 = x
the point of x-intercept is therefore (-2, 0)
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)
