Answer:
14
20
18
24
Step-by-step explanation:
36 = 6 x 6
16 = 4 x 4
25 = 5 x 5
All others are not square
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:
Step-by-step explanation:
It is necessary to isolate the term of x from one side of an inequality to find its solution.
<h3>-4x-8>-20</h3>
<u>First, add by 8 from both sides.</u>
<u>Solve.</u>
-20+8=-12
<u>Rewrite the problem down.</u>
<u>Multiply by -1 from both sides.</u>
(-4x)(-1)<(-12)(-1)
<u>Solve.</u>
<u>Multiply the numbers from left to right.</u>
(-12)(-1)=12
4x<12
<u>Divide by 4 from both sides.</u>
4x/4<12/4
<u>Solve.</u>
<u>Divide the numbers from left to right.</u>
12/4=3
<u>x<3</u>
- <u>Therefore, the correct answer is D. x<3 (last option).</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:x= 25
Step-by-step explanation:
504.2x + 29,165.8 is the number to divided by x.