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STALIN [3.7K]
3 years ago
10

In the answer space below, provide one of the two positive integers whose sum is 200 and whose product is a maximum.

Advanced Placement (AP)
1 answer:
Zina [86]3 years ago
3 0
Yay for Calculus!
First, use the equation:
xy=S
This is x times y is equal to sum, or S.
Then, use the equation x + y = 200.
Then, solve for x or y. I will solve for y.
Doing so gives me the equation y = 200 - x
Next, use this value for y in the equation xy = S.
Give: x(200-x) = S
Simplify: 200x - x^2 = S.
Take the derivative: 200 - 2x = S'
Set it equal to 0 for critical numbers: 200 - 2x = 0
Solve: -2x = -200
Solve: 2x = 200
Sove: x = 100, which is one of your integers. The other is also 100.

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Need Assistance With This​
vaieri [72.5K]

Answer:

If the question is (2/3x) = -10,

x = -(1/15) = - 0.06667

The check is presented under the explanation below

If the correct question is (2/3)x = -10,

x = -15

The check is presented under the explanation below

Explanation:

If the question is rightly written as it is in the attached document,

(2/3x) = -10

We can cross multiply and obtain

2 = -10 × 3x

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To check

(2/3x) = -10,

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2 ÷ 3(-1/15) = 2 ÷ (-1/5) = 2 ÷ (-0.2) = -10 (Correct!)

If the correct question is

(2/3)x = -10

Divide both sides by (2/3)

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To check

(2/3)x = -10

If x = -15

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Hope this Helps!!!

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A mass of gas has a volume of 4 m3, a temperature of 290 K, and an absolute pressure of 475 kPa. When the gas is allowed to expa
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