Answer:
It would be the 4th one and the last one I think
Step-by-step explanation:
See explanation below.
Explanation:
The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..
Assume we have some function of a single variable
x
;
we'll call this
f
(
x
)
Then we can form an equation:
f
(
x
)
=
0
Then the "roots" of this equation are all the values of
x
that satisfy that equation. Remember that these values may be real and/or imaginary.
Now, up to this point we have not assumed anything about
f
x
)
. To consider factors, we now need to assume that
f
(
x
)
=
g
(
x
)
⋅
h
(
x
)
.
That is that
f
(
x
)
factorises into some functions
g
(
x
)
×
h
(
x
)
If we recall our equation:
f
(
x
)
=
0
Then we can now say that either
g
(
x
)
=
0
or
h
(
x
)
=
0
.. and thus show the link between the roots and factors of an equation.
[NB: A simple example of these general principles would be where
f
(
x
)
is a quadratic function that factorises into two linear factors.
Answer:
1: 6
2: The initial amount of water in the fountain
3: The amout of water in the fountain over an amount of time
4: y= 3/2x+6
Step-by-step explanation:
1 m = 100 cm
1 m^3 = 1^6 cm^3
so 1 cm^3 = 10^-6 m^3
and 1 L = 1000 cm^3 = 10^-3 m^3
