
Notice that if

, then

. Recall the definition of the derivative of a function

at a point

:

So the value of this limit is exactly the value of the derivative of

at

.
You have
Answer:
72
Step-by-step explanation:
Exhaustive search shows the numbers to be 12, 24, 36. The sum of these three numbers is 72.
154 text messages were sent
explanation:
0.25x+7=45.50
subtract 7 from both sides
0.25x=38.5
divide both sides by 0.25
x=154
154 text messages
Length of first bar = 1.75.
Length of second bar = 
Length of third bar =
.
Let us convert 

Therefore, 

<em>We can see that 1.75 is the longest out of 1.5833 and 1.667.</em>
<h3>Therefore,
length of longest bar is 1.75 feet.</h3>
Answer:
y + 10 = (-111/11)(x - 1)
Step-by-step explanation:
First find the slope. As we go from (-10, 101) to (1, -10), x (the "run") increases by 11 and y (the "rise") decreases by 111. Thus, the slope is
m = rise / run = -111/11.
Using the point (1, -10) and this slope, we get the equation
y + 10 = (-111/11)(x - 1)