Use substitution <img src="https://tex.z-dn.net/?f=w%20%3D%20z%5E%7B2%7D" id="TexFormula1" title="w = z^{2}" alt="w = z^{2}" ali

William is going to the amusement park, where he has to pay a set price of admission and another price for tickets to go on each

Mice21 [21]

The point (1, 20) means that the total money spent for purchasing one ticket is $20.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the total money spent for buying x number of tickets.

The point (1, 20) means that the total money spent for purchasing one ticket is $20.

Find out more on linear equation at: brainly.com/question/14323743

7 0

2 years ago

At the end of a recent year, Ready Maid Cleaning Service, a full-service house and office cleaning service, had total assets

torisob [31]

Answer:

Ready Maid Cleaning Service's liabilities were $2930.

Step-by-step explanation:

At the end of a recent year, Ready Maid Cleaning Service, a full-service house and office cleaning service, had total assets of $ 5,810 and equity of $ 2,880.

Liabilities = assets - equity

So, Liabilities = $5810-2880=2930$ dollars

Hence, Ready Maid Cleaning Service's liabilities were $2930.

3 0

3 years ago

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

18=3(1+12 x)-5(10x+11)

madreJ [45]

18=3+36x-50x-55

18=3-14x-55

18=-14x-52

70=-14x

x=-5

6 0

3 years ago

Merry christmas! my teachers gave me work. ill be happy if u help

Sauron [17]

Heyy merry christmas !
area of a triangle = base * height : 2
4 * 5 = 20 : 2 = 10
10 * 12triangles = 120cm^3

4 0

2 years ago