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:
b = (d-c)/a
Step-by-step explanation:
ab + c = d
We want to solve for b, so we need to get b alone
Subtract c from each side
ab+c-c = d-c
ab = (d-c)
Divide each side by a
ab/a = (d-c)/a
b = (d-c)/a
Answer:
Yes.
Base: 4
Step-by-step explanation:
Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.
Answer:
Step-by-step explanation:
axis: x= 2
vertex: (2,3)
Answer:
The correct answer is "0.0000039110".
Step-by-step explanation:
The given values are:
then,
The required probability will be:
= 
= 
= 
= 
= 
By using the table, we get
= 
