Top:
x / (x + 1) - 1 / x
= [x^2 - (x +1)] / x(x+1)
= (x^2 - x - 1 ) / x (x+1)
Bottom:
x / (x + 1) + 1 / x
= [x^2 + (x +1)] / x(x+1)
= (x^2 + x + 1 ) / x (x+1)
Now you have:
(x^2 - x - 1 ) / x (x+1)
----------------------------
(x^2 + x + 1 ) / x (x+1)
= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )
= (x^2 - x - 1 ) /(x^2 + x + 1 )
Answer:
x^2 - x - 1
---------------------
x^2 + x + 1
Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

To find:
The current that will produce the maximum power.
Solution:
We have,

Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is
, then

In the given function, a=-12 and b=120. So,



Putting x=5 in the given function, we get




Therefore, 5 watt current will produce the maximum power of 300 amperes.
To answer this question, apply this formula <span>P(m and a) = P(m) + P(a) - P(m or a). Where m stands for marinara and a stands for alfredo.
</span><span>P(m and a) = P(m) + P(a) - P(m or a)
</span><span>P(m and a) = 0.64 + 0.56 - 0.89
</span><span>P(m and a) = 0.31</span>
Factor : 8y - 36
Go through all of the answer choices & see which one is correct.
a) -4 (2y + 9)
You don't even have to fully simplify this, just by looking at the -4, you already know that this is incorrect because you need to have a positive 8. So, A is incorrect.
b) 8 (y - 4)
Simplify.
8y - 32
Incorrect because it is not equal to the original equation.
c) 2 (4y - 18)
Simplify.
8y - 36
Correct answer because it is equal to the original equation.
d) 4(2y - 9)
Simplify.
8y - 36
D is also correct.
So, your answer is : (C) and (D) are your answers.
~Hope I helped!~