
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:
1) b 2) b
Step-by-step explanation:
1) Both expressions have (x+6). Rearrange them and you'll have one expression as (x+6) and the other as (5ab-4).
2) (4b - 7x)(a + b) factors to be 4ba + 8b - 7ax - 14x, which can be rearranged to 4ab - 7ax + 8b - 14x
Answer:
A = $1311 and 96cents
Step-by-step explanation:

P = $1200
r = 1.8% = 0.018
n = 1 (compounded yearly)
t = 5

7y - 3x = -5
-3x = -7y - 5
x = 7/3y + 5/3
Answer:
g=18.6
Step-by-step explanation:
-11-79+5g=3
-90+5g=3
5g=3+90
5g=93
g=93/5=18.6
g=18.6