Answer: Choice C
The vertical asymptote at x = -4 tells us that -4 is not part of the domain. This only applies to 1/(x+4). If we plug in x = -4, we get...
f(x) = 1/(x+4)
f(-4) = 1/(-4+4)
f(-4) = 1/0
f(-4) = undefined; because of the division by zero error
The value x = -4 is allowed in the other answer choices.
Answer:x=1
Step-by-step explanation:
y=y
y = -x + 10
y = 7x + 2
-x+10=7x+2
10=8x+2
8=8x
x=1
Answer:
1/2 now substitute 45 degrees
Step-by-step explanation:
A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.

B) Find general solution by separating variables and integrating

:
C) Initial condition is t=0, T = 87

D) Total time elapsed is 10 minutes, new temperature is 84

solve for alpha

E) Temperature function is:

solving for t

Plug in T = 98.6

This is approximately 32 minutes before he arrived or about 1:20 AM