Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
Answer:
m=-1
Step-by-step explanation:
Since you no what x is you can subst. it into the second equation so 2m+11-9=0 so 2m+2=0 then subtract 2 from both sides 2m=-2 than divide m=-1
Answer:
A
Step-by-step explanation:
Each guest pays 15 dollars and the fee is 200, so 15x+200 because adding to the cost.
Answer:
i think ur answer is a im not 100 percent sure let me know if im wrong
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-5*x+15-(35-10*x)=0
Pull out like factors :
5x - 20 = 5 • (x - 4)
_________________________________________
Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
_________________________________________
Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
