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konstantin123 [22]
2 years ago
7

The expression below is the factorization of what trinomial-1(x+5)(x+6)

Mathematics
1 answer:
Nadya [2.5K]2 years ago
4 0

Answer:

-x^2 - 11x -30

Step-by-step explanation:

Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.

ie: x(x) and x(6)

ie: x^2 + 6x

Then do the 5 times the things in the second parenthesis.

ie: 5(x) and 5(6)

ie: 5x + 30

Then add what you got from multiplying the first value to what you got from multiplying the second.

ie: x^2 + 11x + 30

This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.

ie: -x^2 - 11x -30

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Maximum profits are earned when x = 64 that is when 64 units are sold.

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Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

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Differentiating P(x) with respect to x and equating to zero, we get,

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Equating it to zero we get,

x^2 + 36x - 6400 = 0

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