Here you have two unknowns, so you would need two equations (system of equations). By using w to represent walnuts and c to represent chocolate chips your equations would be 5w + 2c = 10 and 3w + 8c = 23, the coefficients being the amount of pounds of walnuts and chocolate chips and the right hand side of the equations being the total price. From there you can either solve for one variable in terms of the other and plug in to the other equation, or you could subtract one equation from the other ( I personally prefer solving for one variable in terms of the other and then plugging in to the other equation).
Answer:
360°
Step-by-step explanation:
xjjdjdjdjedjejdjej
=±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: All the lines which are parallel to Y-axis including Y-axis must be parallel to the line x=7.
Explanation:
We can understand it by drawing the line x=7 on the graph.
In the graph, it has shown that x=7 is parallel to Y-axis.
And if we talk about a set of lines x=n, where n is a real number then these lines are parallel to y-axis.
since, we know that if one line is parallel to another line and that line is also parallel to a third line then these three lines must be parallel.
so we can say that, All lines which are parallel to y-axis as well as y-axis are parallel to x=7.
Answer: the difference has 4 terms and a degree is 6.
Step-by-step explanation
