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3 years ago

Evaluate the expression when x-6

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

7 0

If x=6 then that’s 5(6) =30+3 =33 and if your dividing 33/3 makes 11

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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

wlad13 [49]

Answer:

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.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

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

6 0

3 years ago

What is the distributive property of 12*12

NikAS [45]

144.

distributive property distributed a number outside of a parenthesis inside, i.e. x(12•12).

considering there is no given parenthesis, the answer is simply 144.

4 0

3 years ago

Is 3 tenths multiplied by 100 equals 300 thousandths

Gwar [14]

No. 3/10 X 100/1 = 300/10 = 30.

8 0

3 years ago

What is the middle integer?

Elanso [62]

Answer:

-56

Step-by-step explanation:

Hello!

Let's create an equation to figure out what the middle integer really is.

Creating an equation:

n + (n + 1) + (n + 2) = -168 (This is true because we must account for the <em>consecutive integers </em>part.)

Simplifying:

3n + 3 = -168

Subtracting:

3n = -171

Dividing:

n = -57

Now, we plug-and-chug:

-57, -56, -54 (this is because we accounted for adding <em>positive </em>one.)

Thus, the middle integer is $\boxed{-56}$ .

Check:

We can see if we are correct by adding up -57, -56, -54.

(-57) + (-56) + (-54) = -168

So we are correct!

Hope this helps!

7 0

3 years ago

What is the equation of the circle with center (0, 0) that passes through the point (–4, –6)?

Vadim26 [7]

If the center is in point P(a,b) and has a radius r then circle equation is:

(x-a)²+(y-b)²=r².

In your task we've got P(0,0) so the circle equation is x²+y²=r².

We have to find r. Radius start at (0,0) and end at (-4,-6) therefore

r=√((-4)²+(-6)²) and

r²=(-4)²+(-6)²=16+36=52.

So answer is x²+y²=52.

4 0

3 years ago