Answer:
f^-1 (x) = 1+ln( (x-3)/2)
Step-by-step explanation:
hello :
let f(x) = y so : y = 2e^(x-1) +3
calculate x : e^(x-1) = (y-3)/2
for : y-3 > 0 : x-1 = ln( (y-3)/2) so : x= 1+ln( (y-3)/2)
If(x)= 2e^(x-1) +3 , what is f^-1 (x) = 1+ln( (x-3)/2)
Answer:
a) 
b) 6.84 million
c) 2028.52
d) 47 years
Step-by-step explanation:
a)Here we know standard exponential growth rate is
In this put t=0 and a(t)=6.27 million
thus we get a = 6.27 million
now 
this is equal to(in 2012)=
b)Put t = 6
we get
=6.84 million
c) 
take log both sides
we get 16.52 years
d) 
take log both sides we get 47 years to get double the current population.
0 ≠ 4. The equation is wrong, and has no true solution.
8x + 3 - 10x = -2(x - 2) + 3
<em><u>Distributive property.</u></em>
8x + 3 - 10x = -2x + 4 + 3
<em><u>Combine like terms.</u></em>
-2x + 3 = -2x + 7
<em><u>Cancel like terms.</u></em>
<em><u>Subtract 3 from both sides.</u></em>
0 ≠ 4
Answer:
Emma was right to say that both packages are close to 2 pounds.
If we round-off the weights of both to the nearest whole number we would get 2 pounds on both. We look at the the difference of both from 2 pounds we get the following:
2.36 - 2.0 = 0.36
2.09 - 2.0 = 0.09
The smaller the difference the closer it is to the base value. So we can say that the closest one is 2.0 pounds is the package that weighs 2.09 pounds.
