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3 years ago

2x - 1y = -9 y = - 5 - 5x

Mathematics

1 answer:

WARRIOR [948]3 years ago

4 0

Answer:

x = - 7 and y = 30

Step-by-step explanation:

2x - y = -9

subtract 2x from either side

-y = -9 - 2x

divide either side by -1

y = 9 + 2x

Plug in 9 + 2x for y

9 + 2x = -5 - 5x

Add 5 to either side and subtract 2x from either side

14 = -2x

divide either side by -2

-7 = x

plug in -7 for x in one of the equations

y = -5 - ( 5 x -7 )

y = -5 - ( - 35)

y = -5 + 35

y = 30

plug in x and y

30 = -5 - ( 5 x -7)

30 = -5 - (-35)

30 = -5 + 35

30 = 30

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Answer:

$P(x) = 190 x -x^2$

In order to maximize the last equation we can derivate the function in term of x and we got:

$\frac{dP}{dx} = 190 -2x$

And setting this derivate equal to 0 we got:

$\frac{dP}{dx} = 190 -2x=0$

And solving for x we got:

$x = 95$

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

$P(x=95)= 95(190-95)= 95*95 = 9025$

Step-by-step explanation:

For this case we have the following function for the profit:

$P(x) = x(190-x)$

And we can rewrite this expression like this:

$P(x) = 190 x -x^2$

In order to maximize the last equation we can derivate the function in term of x and we got:

$\frac{dP}{dx} = 190 -2x$

And setting this derivate equal to 0 we got:

$\frac{dP}{dx} = 190 -2x=0$

And solving for x we got:

$x = 95$

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

$P(x=95)= 95(190-95)= 95*95 = 9025$

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<h3> Answer </h3>

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Answer:

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Step-by-step explanation:

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Let $x$ be the price at which Sara sells each bracelet to make a profit of $99.

$\text{Total sales done = Number of bracelets sold }\times \text{ Sales price of each bracelet}\\$

$\Rightarrow 15 \times x ...... (1)$

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$\text{Total sales price = Total Cost}+ \text{Total Profit} \\$

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Equating (1) and (2):

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