What is the equation of the function y=2/x translated 3 units to the left and 4 units up?

a. y=2/x-3 -4
b. y=2/x+3 -4
c. y=2/x-3+4
d. y=2/x+3 +4

Step-by-step explanation:

Equation :

Initially the graph of the given function is  translated 3 units to the left

Rule : When the graph is translated by b units to left

So,  

Since we are given that initially the graph is translated 3 units to the left

So, b = 3

So,  

Now,  

Now the graph is again translated by 4 units up.

Rule : When the graph is translated by b units up

So ,  

Since we are given that the graph is translated 4 units up

So, b = 4

So,  

Thus    

Hence Option D is correct:

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)