Answer:
I'm kind of confused what the question is asking. If they are asking for an expression to represent JL then the answer is 14x -32. If they want to know the distance between J and L then the answer is 66
Step-by-step explanation:
First I set the 2 equations equal to each other (5x-2 = 9x -30) and solved this to get x =7. (ANSWER ONE)
Next I plugged 7 into one of the equations (in this case either one will work bc JK and KL are the same distance. so I plugged 7 into the first one ( 5(7) -2 ) and I got 33. This means the distance of JK (and KL since they are equal) is 33.
Next I multiplied 33 by 2 since JL is JK and KL combined ( JK and KL are both 33 and therefore adding them together (multiplying 33×2) will give you the length of JL) and I got 66 (ANSWER 2)
Sorry if this is super confusing
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)
Radius is half of the Diameter. If the Radius is 18 inches, that means the Diameter must be 36 inches. Circumference is all the way around the circle, That's all I can say about circumference since it was one of the things I never understood fully. I hoped I helped you!
Replace the x in the bracket W(x) with 9, W(9) then replace 60x with 60 times 9 to give you 540 words