Response:
The outcome is 4144.
Detailed explanation:
We need to determine the peak value of f(x)=
when 
We can represent
as 
Plugging the value of y

= ![3x^{2}(8-x)^{2}[-x+8-x]+3[-x+8-x]](https://tex.z-dn.net/?f=3x%5E%7B2%7D%288-x%29%5E%7B2%7D%5B-x%2B8-x%5D%2B3%5B-x%2B8-x%5D)
= ![3(8-2x)[x^{2}(8-x)^{2}+1]](https://tex.z-dn.net/?f=3%288-2x%29%5Bx%5E%7B2%7D%288-x%29%5E%7B2%7D%2B1%5D)
To find the maximum, we'll set the equation to 0.
Thus, we find:
=> x = 4
And since
> y = 4
Hence, we will substitute these values into the equation to ascertain the maximum value.
= 
= 
= 
=
= 4144
A rational number refers to any number that can be written as a fraction, such as 2, -3, 2/3, etc.
Essentially, any non-repeating number found between 31.5 and 31.6 would suffice.
Examples include: 31.51, 31.52, 31.568, 31.599
I suggest 31.55 since it’s straightforward and can be expressed as the fraction: 361/20
In this scenario, we start with the following expression:

The first step involves evaluating the quadratic component.
Next, we have:

The following step is to subtract the two resultant values:

It is clear that the outcome of this operation is a negative value.
Answer:
The expression results in:

Answer:
The solution to this problem indicates that Hernry invested $18,000 in stocks and $6,000 in bonds.
Step-by-step explanation:
First, you need to multiply 6 by 3. The outcome is 18, meaning it is three times higher than the bond amount. Next, subtract $24,000 from $18,000, which gives you $6,000, representing the bond investment. Hence, it is three times less than the stocks as the question describes.
The question is as follows:
<span>In what ways does the graph of g(x)=1/x-5+2 differ from the graph of the parent function f(x)=1/x?
</span>
=================================================
Solution:
========
The given function ⇒

The parent function of the provided function ⇒

After graphing both equations, as illustrated in the attached image.
It can be concluded that
<span>g(x) is translated 5 units to the right and 2 units upwards from f(x).
</span>
Thus, the correct answer is option 2<span />