Answer:
Step-by-step explanation:
Let the numbers be x and y
<h3>Given condition:</h3>x + y = 48 --------(1)
y = 7x -------------(2)
Put Eq. (2) in (1)
x + 7x = 48
8x = 48
Divide 8 to both sides
x = 48/8
<h3>x = 6</h3>Put x = 6 in Eq. (2)
y = 7 (6)
<h3>y = 42</h3>
I guess the function is . Then
and
.
The derivative is , but there is no
such that
This doesn't contradict Rolle's theorem because does not exists. In other words,
is not differentiable on (-27, 27), so the conditions of Rolle's theorem are not met. (Looks like that would be the last option, or the second to last option if the last one is "Nothing can be concluded")