Answer:
1. k=0
2. yes, result is still a polynomial.
3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)
Step-by-step explanation:
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)
for k=0 any polynomial f(x) will reduce f(k) to the constant term.
2. If we multiply a polynomial by a constant, is the result a polynomial?
Yes, If we multiply a polynomial by a constant, the result is always a polynomial.
3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?
Yes.
If
deg(f+g) < deg(f) and
deg(f+g) < deg(g)
then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.
Looks correct. :)...........
Let
x---------------> long side rectangle------------> 13.5 in
y---------------> wide side rectangle------------> 10 in
d--------------> <span>length of a diagonal
</span>
we know <span>applying the Pythagorean theorem
</span>d²=x²+y²-----------> d²=13.5²+10²-> d²=282.25
d=√282.25=16.80 in
the answer is 16.8 in
9514 1404 393
Answer:
$935.11
Step-by-step explanation:
The amount is given by the formula ...
A = P(1 +r/n)^(nt) . . . P invested at rate r for t years compounded n per year
A = $850(1 +0.024/2)^(2·4) = $935.11
The amount accumulated will be $935.11 after 4 years.
Answer:
7
Step-by-step explanation:
number of diagonals in a regular polygon = number of sides - 2.
A nonagon is a polygon having 9 sides.
Total number of diagonals in a regular nonagon
= 9 - 2
= 7