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3 years ago

What is the expression in factored form?

Mathematics

2 answers:

zhuklara [117]3 years ago

8 0

Answer:

Choice d is correct answer.

Step-by-step explanation:

Given expression is :

-20x²-12x

As we have noticed that there are multiples of 4 in above expression.

taking 4 as common,we get

4(-5x²-3x)

we can also write it

4((-1)(5)x² + (-1)(3)x)

taking -1 as common,we get

4(-1)(5x²+3x)

-4(5x²+3x)

taking x common from above expression,we get

-4x(5x+3) which is the factored form of -20x²-12x.

LekaFEV [45]3 years ago

5 0

Answer:

$\boxed{-4x(5x+3)}$

Step-by-step explanation:

The given expression is $-20x^2-12x$

The highest common factor is $-4x$

We take the highest common factor out to obtain the completely factored form as:

$-4x(5x+3)$

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wlad13 [49]

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

Maximum Profit = P(64) = 2,08,490.666667$

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.

We will use double derivative test to find maximum profit.

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

$\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2$

Equating it to zero we get,

$x^2 + 36x - 6400 = 0$

We use the quadratic formula to find the values of x:

$x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}$ , where a, b and c are coefficients of $x^2, x^1 , x^0$ respectively.

Putting these value we get x = -100, 64

Now, again differentiating

$\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x$

At x = 64, $\displaystyle\frac{d^2(P(x))}{dx^2} < 0$

Hence, maxima occurs at x = 64.

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