
The rows add up to

, respectively. (Notice they're all powers of 2)
The sum of the numbers in row

is

.
The last problem can be solved with the binomial theorem, but I'll assume you don't take that for granted. You can prove this claim by induction. When

,

so the base case holds. Assume the claim holds for

, so that

Use this to show that it holds for

.



Notice that






So you can write the expansion for

as

and since

, you have

and so the claim holds for

, thus proving the claim overall that

Setting

gives

which agrees with the result obtained for part (c).
Answer:
Alice can drive 147 miles
Step-by-step explanation:
At first you subtract $17.95 from $40.
Then you are left with $22.05
Finally, you divide $22.05 by $0.15
And you get 147, so she can drive 147 miles without going over her limit.
Answer:
2/3
Step-by-step explanation:
slope =(y1-y2)/(x1-x2)
slope=(1-(-1))/(6-3)
slope =2/3
Answer:
C
Step-by-step explanation:
Simply substitute the equations f(x) and g(x) for f and g.
(4x+1)-(
-5)
4x+1-
+5
Do some rearranging and:
+4x+6
Hope this helped!
B !!!!!!!!!!!!!!!!!!!!!!!!!