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katrin [286]
3 years ago
15

Very fast please! How do you work out: 5x3/4

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
4 0
As it is only 5, it is 5/1 so you do 5 x 3 = 15 then 1 x 4 = 4. So 15/4
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The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
What is the solution to this system of linear combination 3a+6b=45 2a-2b=-12 what is the solution to the system?
DanielleElmas [232]
Ok i tried and ig youre looking for what a and b equal for both systems..... it'll be 1) a=-2b+15 b=7.5-(1/2)a <-- fraction........2) a=-6+b b=6-a
3 0
3 years ago
What are the solutions to –2|x| = –6?<br><br> Show your work please
dmitriy555 [2]

Answer:

[See Below]

Step-by-step explanation:

✦ Divide by -2 on each side:

  ✧ -2 / -2 = Cancels Out

  ✧ -6 / -2 = 3

So x would be 3, -3.

- |x| Just means absolute value. Which in short just means if it's negative it becomes positive.

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

3 0
3 years ago
Read 2 more answers
over the past five weeks, the average daily temperature in Wellington has dropped 40 degrees Fahrenheit. Write and evaluate ab e
Westkost [7]
In five weeks, there are 35 days. So, the average drop in temperature per day is 40/35 = 8/7 degrees per week. Then in 1 week, 8/7 degrees per day * 7 days per week = 8 degrees per week.Therefore there are 8 degrees drop of temperature in 1 week.
7 0
3 years ago
A cube has a side length A. The side lengths ate decreased by 20%. Write an expression in simplest form.
vazorg [7]
The answer is: A-(20%)A
5 0
3 years ago
Read 2 more answers
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