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Andrej [43]
2 years ago
5

6. Find the slope. Make sure to reduce.

Mathematics
1 answer:
zaharov [31]2 years ago
5 0

Answer:

the slope is -1/7 hope this helps

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The sum of two positive numbers is 12. what two numbers will maximize the product g
son4ous [18]

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:

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The maximum value of xy = 6*6 = 36

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