I'll use t for the messages Teresa sent, e for messages Eric sent, and r for messages Ryan sent.
Therefore we have, t+e+r=99.
From the text we also know:
e=3r ; r=t+6
If we substitute in the original equation we get:
t+3(t+6)+t+6=99; By simplifying it we get
5t=75 , therefore t=75/5=15.
Since Teresa send 15 messages,Ryan sent 6 more then here, so he send 21. Eric sent three times the
messages Ryan sent so he sent 63 messages. If we add them together 15+21+63, we get the total of 99 messages.
I think the independent variable is the number of people and the dependent is the wait time. I see it as the wait time DEPENDS on how many people are in line. This one is kinda confusing tho
Answer:
A = 
- B
Step-by-step explanation:
Given
R = x(A + B) ← divide both sides by x
= A + B ( subtract B from both sides )
- B = A
You can try to show this by induction:
• According to the given closed form, we have 
, which agrees with the initial value <em>S</em>₁ = 1.
• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume
and
We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or
From the given recurrence, we know
so that
which is what we needed. QED
well, -5/8 is -0.625.
the absolute value of -0.625 is 0.625.
and abs value of -5/8 is 5/8
