There are 12 outcomes. The coin can land on either heads or tails, and then you can extract any number from 1 to 6 from the box. So, the outcomes are
- Heads, 1
- Heads, 2
- Heads, 3
- Heads, 4
- Heads, 5
- Heads, 6
- Tails, 1
- Tails, 2
- Tails, 3
- Tails, 4
- Tails, 5
- Tails, 6
When the x-intercept solution of a system of two-variable equations is plugged in, the equations yield the same value. Thus, for the points to be solutions, F(x) = G(x)
The only option that shows this is C, where
F(8) = G(8) and F(24) = G(24)
Multiplicity
is how many times the root repeats
roots
r1 and r2 of a polynomial factor to
(x-r1)(x-r2)
so 3
multiplicty 2 means (x-3)^2 is in the factorization of that
polynomial
also,
for a polynomial with real coefients, if a+bi is a roots, a-bi is
also a root
5i is
a root, therefor -5i is a root as well
roots
are
(x-5i)(x+5i)(x-3)^2
if we
expand
x^4-6x^3+34x^2-150x+225
the
polynomial is
f(x)=x^4-6x^3+34x^2-150x+225
Each box had at most 13 apples
I hope that helps!!!!!!
: )
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