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3 years ago

X+y=8 and 3x+2y=14 for soliving system

1 answer:

7 0

X+y=8
multiply the first equation by 3 to get rid of x
3x+3y=24
3x+2y=14
subtract equation 1 from 2
y=10
substitute to find the value of x
x+10=8
x=-2

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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., $\left ( \frac{c(x)}{x} \right )'$

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

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

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

Marginal average cost:

Differentiate average cost with respect to $x$

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

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

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A plot of land is valued at $18,000.Land tax is charged at the rate of 0.70 per $100. What is the total amount of tax paid for t

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Proportions

The land tax charged is 0.7 per each $100 of the land value. For easy calculations, we find the ratio or proportion to be applied to the value of the land as:

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