Answer:
31
Step-by-step explanation:
50 - 2-3-6-3-5 = 31
Answer:

Step-by-step explanation:
Since our equation is
and we want to solve for G, first we divide both sides by the product
, which gives:

So we are left with:

Now we multiply both sides by
, which gives:

Which gives us our final formula:

So since -2, 0, 1 are the roots:
Therefore x = -2, x = 0 , x = 1
Implies that:
x = 2 x - 2 = 0
x = 0 x = 0
x = 1 x - 1 = 0
Therefore (x - 2)x(x - 1) = 0
(x - 2)(x - 1) = x(x - 1) - 2(x - 1) = x² - x - 2x + 2 = x² - 3x + 2
(x - 2)x(x - 1) = 0
(x - 2)(x - 1)x = 0
(x² - 3x + 2)x = 0
x*x² - x*3x + x*2 = 0
x³ - 3x² + 2x = 0
This is the polynomial with the least degree, because it possible for another polynomial with higher power to still have the same root.
x³ - 3x² + 2x = 0 is the polynomial.
I hope this helps.
Answer:
The measure of one angle is
, and the measure of the other one is 
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders 
We need to find the measure of two such angles whose difference is precisely
.
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:

We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":

So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":

The underlying arithmetic progression is
-15, 0, 15, 30, ...
starting with
and with a common difference of
between terms. Recursively, this sequence is given by

So we have



and so on, so that the explicit rule for the sequence is

for
.
The series consists of 15 terms, since

So we have

and the answer would be B.