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3 years ago

4xy+4x-6y-6 factored completely

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

(4x - 6)(y + 1)

Step-by-step explanation:

Group them: (4xy + 4x) (-6y - 6)

Take out the greatest common factor for both:

4x(y + 1) -6(y + 1)

Put it together: (4x - 6) (y + 1) (y + 1)

Since there are two (y + 1)'s, you can get rid of one, giving you:

(4x - 6) (y + 1)

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The production function f(x) gives the number of units of an item that a manufacturing com pany can produce from units of raw ma

makvit [3.9K]

Answer:

Step-by-step explanation:

Recall that the notion of the derivative of a function is the rate of change of it. So it kind of tells us how much the value of functioin changes as the independt variable increases or decreases. If it is positive, this means that the function will increase as the indepent variable increases, and if it is negative, that means that the function will decrease as the indepent variable increases.

a) Since f(x) is the number of units you can make out of x units of raw material, it is natural to think that the more material you have, the more units you can make, so we expect f'(x) to be positive.

b) The company buys each unit of raw material at the price w. So the product wx represents the total cost of the raw material used to produce f(x) units. Since each produced unit is sell at the price of p, then the product pf(x) represents the total income for selling all f(x) units.Recall that the profit is the difference between the total income and the total cost of production. Hence, the profit in this case is represented by the formula pf(x)-wx.

c) Recall that a function h(x) that is differentiable attains it's maximum when it's derivative is 0 and it's second derivative is negative.

In this case, we know that the derivative of the profit function, evaluated at x* must be 0, since it is a maximum. So, using the rules of derivation, we know that the derivative of the profit function is pf'(x)-w. Hence,

pf'(x*)-w =0. From where we know that f'(x*)=w/p.

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3 years ago

Solve the inequality x + 2 > 6.

Aloiza [94]

Answer:

x > 4

Step-by-step explanation:

x + 2 > 6

-2 -2

x > 4

7 0

3 years ago

Read 2 more answers

How can I calculate the angle of elevation from point A to B?

Sav [38]

If I remember correctly I’m pretty sure you need to subtract

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3 years ago

The basketball player Shaquille O'Neal is 7 feet 1 inch tall, which is equivalent to 216 centimeters a nanometer (nm) is a unit

Kamila [148]

Answer:

Shaquille O'Neal's height= 2,160,000,000 nm

= 2.16 × 10^9 nm

Completed question;

The basketball player Shaquille O'Neal is 7 feet 1 inch tall, which is equivalent to 216 centimeters a nanometer (nm) is a unit of measurement that is one-billionth of a meter, convert his height to nanometers.

Step-by-step explanation:

Given;

Shaquille O'Neal's height= 216cm = 216 × 1/100 m = 2.16m

Since, a nanometer (nm) is a unit of measurement that is one-billionth of a meter.

1 m = 1 billion nanometers

So,

2.16m = 2.16 billion nm = 2160000000 nm

Shaquille O'Neal's height= 2160000000 nm

= 2.16 × 10^9 nm

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3 years ago

The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum