Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2.
126/32=(63*2)/(16*2)
The 2s in the top and bottom can cancel out, leaving the fraction 63/16.
In addition, since there are x terms on the top and bottom, they cancelled out as well.
x/x^3=1/x^2
This leaves an x^2 term on the bottom.
Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.
Step-by-step explanation:
Answer:
B. Geometric sequence.

Step-by-step explanation:
We have been given that Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.
The amount of contaminants remaining after each hour would be 2/3 of the previous hour amount as 1/3 of contaminants was filtered.
Since amount is not constant, therefore, the sequence would be geometric.
We know that explicit formula for geometric sequence is in form
, where,
a = First term,
r = Common ratio.
For our given scenario
and
, so our required formula would be:

Therefore, an explicit formula for the given geometric sequence would be
.
This is simply solving an equation...
You do this...
3x-7=14
+7 +7
---------------
3z=21
--- ----
3 3
z=7
hope this helped! Give me a 5-rate and a thanks if so!
A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2) = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is y = 1x + 48
Make standard form.
<span>x - y = -48</span>