Answer: Option B
Step-by-step explanation:
By definition, only those functions that are one to one have an inverse function.
A function is one by one if there are not two different input values,
and
, that have the same output value y
Note that the function
is not a one-to-one function
When x=2 
When x=8 
Note that the function
is not a one-to-one function
When x=1 
When x=-1 
Note that the function
is not a one-to-one function
When x=1 
When x=-1 
Then the answer is the option B.
You can verify that The function
is a one-to-one function and therefore its inverse is a function
Hi there! So the situation that we are talking about for this is compounding, because the population is growing.. The formula for compounding something is P(1 + r)^t, with P representing the initial amount, r representing the rate, and t representing the time in years. First off, let's add the rate into 1. 1.2% is 0.012 in decimal form. 1 + 0.012 is 1.012. Now, because we are looking for the population after 4 years. We raise 1.012 to the 4th power. 1.012^4 is 1.04887093274. It's a long decimal, but do not delete this number from your calculator. Now, we multiply that number by 38,300 in order to get 40,171.7567238 or 40,172 when rounded to the nearest whole number. There. The population of Huntersville will be 40,172 people in 4 years.
Answer:
66.42°
Step-by-step explanation:
Given
cos ? =
, then
? =
(
) ≈ 66.42° ( to the nearest hundredth )
29-4 = 25
29+4 = 33
So, from 25 to 33 minutes.
Answer:
50%: day 13
100%: day 26
Step-by-step explanation:
We are given two days and the amount of the moon that is illuminated. The two days are points on a straight line.
(1, 0.02), (2, 0.06)
y = mx + b
m = (0.06 - 0.02)/(2 - 1) = 0.04
y = 0.04x + b
0.02 = 0.04(1) + b
b = -0.02
y = 0.04x - 0.02
We want y = 50% = 0.5
0.04x - 0.02 = 0.5
0.04x = 0.52
x = 13
y = 100% = 1
0.04x - 0.02 = 1
0.04x = 1.02
x = 25.5