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masya89 [10]
3 years ago
11

The sum of two positive numbers is 12. what two numbers will maximize the product g

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Given two numbers x and y such that:

x + y = 12   ...    (1)


<span>two numbers will maximize the product g</span>

from  equation (1) 

y = 12 - x  

Using this value of y, we represent xy as

xy = f(x)= x(12 - x)

 f(x) = 12x - x^2

Differentiating the above function:

f'(x) = 12 - 2x

Maximum value of f(x) occurs at point for which f'(x) = 0.

Equating f'(x) to 0 we get:

12 - 2x = 0

 2x =  12

> x = 12/2 = 6

Substituting this value of x in equation (2):

y = 12 - 6 = 6

Therefore, value of xy is maximum when:

x = 6 and y = 6

The maximum value of xy = 6*6 = 36

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If B is supposed to be 3^(2x), it is equivalent to F and D and to the given expression.

Of course, D evaluates to 9^x, so is equivalent.

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Hi there!

Okay, so I was a bit confused by your question, but I tried to make it a bit easier and work out.

There was two ways I did this because I didn't want to NOT answer your question!

What about this:

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Next!

I solved 2/15, which also cannot be simplified down lower than what it is. It's decimal form is 0.133333 (another repeating decimal.)

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7 0
3 years ago
Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station o
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Step-by-step explanation:

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2 years ago
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AlladinOne [14]

Answer:

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Step-by-step explanation:

hope this helps

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