Answer:
So we can write an equation to solve this:
12/100 = 36/x
And then we are going to solve for x
x(12/100) = 36
36 x (100/12) = 300
The total number of candy bars was 300
Let width of rectangle be "x"
L= 3x W=x
if width is diminished by 1 that means new width = (x-1)
similarly the new length would be (3x+3)
hence (x-1)*(3x+3)=72
(3x^2)-3=72
3x^2=75
x^2=25
x= +/- 5
reject -5 as you cant have negative length
hence x=5
so original dimensions of rectangle is
L= 15m W=5m
Answer:
f(x) = 3x + 1
Step-by-step explanation:
f(x) = 3x + 1
f(1) = 3+1 = 4
f(2) = 3*2 + 1 = 7
f(3) = 3*3 + 1 = 10
f(4) = 3*4 + 1 = 13
it's a linear function with slope 3 and y intercept 1
Answer:
f'(1)=150ln(1.5)
Step-by-step explanation:
I'm not sure why you would need a table since the limit definition of a derivative (from what I'm remembering) gives you the exact formula anyway... so hopefully this at least helps point you in the right direction.
My work is in the attachment but I do want to address the elephant on the blackboard real quick.
You'll see that I got to the point where I isolated the h's and just stated the limit equaled the natural log of something out of nowhere. This is because, as far as I know, the way to show that is true is through the use of limits going to infinity. And I'm assuming that you haven't even begun to talk about infinite limits yet, so I'm gonna ask you to just trust that that is true. (Also the proof is a little long and could be a question on it's own tbh. There are actually other methods to take this derivative but they involve knowing other derivatives and that kinda spoils a question of this caliber.)
The show of the five comedians should be around three