Answer:1/(3+x)=(1/3)
1
(1−(−x/3))
1/(3+x)=(1/3)1(1−(−x/3))
Use this fact that
1/(1−t)=
∑
∞
0
t
n
(∗)
1/(1−t)=∑0∞tn (∗)
where
|t|<1
|t|<1
. I mean take
t=−x/3
t=−x/3
and...
Note that
|−t|=|t|<1
|−t|=|t|<1
is the radius of convergence
Step-by-step explanation:
Answer:
17.75x + 5.25 
165
x 9
Step-by-step explanation:
The total cost can be represented by 17.75x + 5.25, where x is the number of people.
They can only spend a maximum of $165, so a less than or equal sign has to be used.
The inequality will be 17.75x + 5.25 165
Now, solve for x:
17.75x + 5.25 165
17.75x 159.75
x 9
So, x 9 is the answer, meaning 9 people or less can go to the amusement park.
Answer:
208 1/8 hours
Step-by-step explanation:
The amount of time saved on each trip is ...
(3/4 h) - (1/4)(3/4 h) = (3/4)(3/4 h) = 9/16 h
There are 2×5×37 = 370 trips in the school year, so the total savings in time is about ...
370×(9/16 h) = 208 1/8 h
Answer:
1) 32
2) x=9
4) 36
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
1000 + 2000 = 3000
