Answer:
x = 1
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 5 when x = 3
k = yx = 5 × 3 = 15, thus
y = 
← equation of variation
When y = 15 then
15 = ( multiply both sides by x )
15x = 15 ( divide both sides by 15 )
x = 1
C because 9 x 12 is 108 and so it’s c but I’m sorry if this is wrong
The answer is: y = -3/2 x + 8
Graph:
To find the answer we use the formula;
y-y1 = M1 (x - x1)
y-2 = -3/2 (x-4)
When fully solved: the answer is:
y = -3/2 x + 8
A) is wrong because a measurable characteristics is called a basic
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).
