Answer: The answer is 500 hope this helps!
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:
$108
Step-by-step explanation:
1 box = $12
18 boxes = 12×18 = $216
Total = 18×65 = 1170 pens
Cost price, Cp = $216
3 = $1
378 = 378/3 = $126
1170-378= 792 pens remaining
4 = $1
792 = 792/4 = $198
Total selling price, sp = 126+198 = $324
Profit = Sp - Cp = 324 - 216 = $108
Answer:
The Answer is: 64 oz.
Step-by-step explanation:
Convert 2 hours to minutes and then by 15 minutes:
(2 * 60) / 15 =
120 / 15 = 8
Multiply 8 time 8 = 64 oz.
Answer:
The width of the garden is 7 feet.
Step-by-step explanation:
If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.
Area = width * length
A = wl
Substitute variables.
56 = 8w
Divide by 8.
7 = w, or w = 7.
The width of the garden is 7 feet.
