1 year ago

3.3 Factorise fully: 3.3.1 x²-x-6

Mathematics

1 answer:

Tom [10]1 year ago

3 0

Answer:

(x-3)(x+2)

Step-by-step explanation:

¹ you open brackets.

² you put the "x" in both brackets

³ you then check for factors, that will give you a "6" when you multiply them and give you the "x" when you add or subtract them.

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2 years ago

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2 years ago

Recall Marginal Cost is the derivative of Total Cost, and Fixed Cost is the cost of producing zero units.

olga nikolaevna [1]

Answer:

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

Step-by-step explanation:

The Marginal Cost is given by the following function

$MC(q) = 200*(q+9)^{-5}$

The total cost function is the integrative of the marginal cost function. So:

$TC(q) = \int {MC(q)} \, dq$

$TC(q) = \int {200*(q+9)^{-5}} \, dq$

$TC(q) = -50*(q+9)^{-4} + K$

In which K, the integrative constant, is the fixed cost. So $K = 4000$ .

1. Find the total cost of producing 91 units of ACME rocket fuel.

This is TC(91).

$TC(91) = -50*(91+9)^{-4} + 4000 = 3999.99$

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

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2 years ago

3.3 Factorise fully: 3.3.1 x²-x-6​

3.3 Factorise fully: 3.3.1 x²-x-6