P(x)=2x^2-4x
q(x)=x-3
(p*q)(x)
(2x^2-4x)(x-3)
2x^3-10x^2+12x
6 lbs x 1 kg/2.2 lbs = 6/2.2 kg = 2.727272 kg ≈ 2.72 kg
The coordinates are (2, -5)
what you need to do to find this is see where it falls on the x line. in this case it’s 2. if it were to be on the left of the y line it’d be a negative number. to find y see were it falls on the y line. in this case it’s -5. if it were to fall above the x line it’d be a positive.
i’m not too good at explaining things srry
=±22
x
=
±
2
x
2
Using the fact that 2=ln2
2
=
e
ln
2
:
=±ln22
x
=
±
e
x
ln
2
2
−ln22=±1
x
e
−
x
ln
2
2
=
±
1
−ln22−ln22=∓ln22
−
x
ln
2
2
e
−
x
ln
2
2
=
∓
ln
2
2
Here we can apply a function known as the Lambert W function. If =
x
e
x
=
a
, then =()
x
=
W
(
a
)
.
−ln22=(∓ln22)
−
x
ln
2
2
=
W
(
∓
ln
2
2
)
=−2(∓ln22)ln2
x
=
−
2
W
(
∓
ln
2
2
)
ln
2
For negative values of
x
, ()
W
(
x
)
has 2 real solutions for −−1<<0
−
e
−
1
<
x
<
0
.
−ln22
−
ln
2
2
satisfies that condition, so we have 3 real solutions overall. One real solution for the positive input, and 2 real solutions for the negative input.
I used python to calculate the values. The dps property is the level of decimal precision, because the mpmath library does arbitrary precision math. For the 3rd output line, the -1 parameter gives us the second real solution for small negative inputs. If you are interested in complex solutions, you can change that second parameter to other integer values. 0 is the default number for that parameter.
Answer:
Step-by-step explanation:
2^(-3) = 1/2^3 = 1/8
A minus means put the number in the numerator if it was in the denominator.
A minus means put the number in the denominator it was in the numerator.
If there is no denominator, create one.