Answer:
A.) 0.33
Step-by-step explanation:
So the function is f(x)=2x+1
For the inverse function just replace f(x) with y and solve for x.
y=2x+1
y-1=2x
x=y/2 -1/2
Now to get the same labels replace x with f(x) and y with x to get
f(x)=x/2 - 1/2
Answer:
The number of people that received copies of the letter at the twentieth stage is<em> 9.537 × 10¹³ </em>.
Step-by-step explanation:
Using the discrete model,
a_k = r a_(k-1) for all integers k ≥ 1 and a₀ = a
then,
aₙ = a rⁿ for all integers n ≥ 0
Let a_k be equal to the number of people who receive a copy of the chain letter at a stage k.
Initially, one person has the chain letter (which the person will send to five other people at stage 1). Thus,
a = a₀ = 1
The people who received he chain letter at stage (k - 1), will send a letter to five people at stage k and thus per person at stage (k - 1), five people will receive the letter. Therefore,
a_k = 5 a_(k - 1)
Thus,
aₙ = a rⁿ = 1 · 5ⁿ = 5ⁿ
The number of people that received copies of the letter at the twentieth stage is
<em>a₂₀ = (5)²⁰ = 9.537 × 10¹³ copies</em>
The y's value is given in the first equation.
. Now to solve, we will, plug it's value in the second equation.
Now we have x's value, we will plug it's value in the first equation.(We can plug it in the second one too, but plugging it the first one will make it easier.)
