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.
To find 30% in decimal form, you do:
30/100=0.3
30% in decimal form is 0.3
A they should work on managing income what they spend and what they earn so they could spend less and make more make sense <span />
Answer:1 ounce
Step-by-step explanation:
This is a problem of
System of Equations. So in this problem we have two rental car companies. Thus, we can write a system of equation by analyzing the statements step by step:
<span>
One rental car company charges $65 per day with unlimited miles:
That is the final cost you will pay, in dollars, at the end of the day, by using the car will be:
</span>
This is true because this company offers you a plan for unlimited miles.
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Another rental car company charges $42 per day plus $0.20 per mile:
In a mathematical language that is:
</span>
<span>
Therefore, f</span><span>or a one-day rental, the mileage that makes the cost of the two options equal is</span><span>:
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