We are given the following information:
the sum of the first number cubed and the second number is 500
their product is a maximum
We are looking for the 2 missing numbers.
To answer this, let's represent the two numbers as x and w.
From the given, we can form the following equation:

We can then express y as:

We can express their product as:

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

Then we solve for the value of x where f'(x) = 0.

Then we use x = 5 to solve for the second number, w.

Therefore, the two numbers are 5 and 375.
Answer with explanation:
The number whose product we have to find is,

→Actual Product = -5.83
When, you will round it to nearest Hundredth it is equal to -6.
Now ⇒ starting from option A
0.44 when rounded to nearest whole number is equal to 0.
So,

is not closer to actual Product which is -5.83.
⇒Option B
0.44 when rounded up≠1
Incorrect Statement
⇒Option C
-5.83, is not greater than -3.
Incorrect Statement
⇒Option D
True Statement
It is less than
because multiplying a rational number by a number less than 1 gives a smaller number.
Answer:
See attachment for graph
Step-by-step explanation:
<em>See comment for correct question</em>
Given

Required
The corresponding points on 
On the graph, we have:





First, we solve for b in 
Using laws of logarithm, the equivalent of the above is:

implies that:


Rewrite as:

So, the equation
becomes:

Using the same values of x, we have:





<em>See attachment for graph</em>
Answer:
5x -1
Step-by-step explanation:
(6x – 8) + (–x + 7)
Combine like terms
6x -x -8+7
5x -1
Distribute 7 to n-3.4 which is 22.5 + 7n - 23.8