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Nesterboy [21]
3 years ago
15

Help plz im confused

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

x = 16

Step-by-step explanation:

Δ ABC and Δ ADE are similar , thus the ratios of corresponding sides are equal, that is

\frac{AB}{AD} = \frac{BC}{DE} , substitute values

\frac{x}{x+6} = \frac{8}{11} ( cross- multiply )

11x = 8(x + 6)

11x = 8x + 48 ( subtract 8x from both sides )

3x = 48 ( divide both sides by 3 )

x = 16

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The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in
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The company needs to sell either 30 or 40 items.

Step-by-step explanation:

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C(x)=40x+180

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The profit function is the cost function subtracted from the revenue function:

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Substitute and simplify:

\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}

To find how many items must be sold in order to obtain a weekly profit of $300, we can let <em>P</em> equal 300 and solve for <em>x</em>. So:

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We can divide both sides by -0.4:

x^2-70x+1200=0

Factor:

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Zero Product Property:

x-40=0\text{ or } x-30=0

Solve for each case:

x=40\text{ or } x=30

So, in order to obtain a weekly profit of $300, the company need to sell either 30 <em>or</em> 40 items.

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docker41 [41]

Answer:

It’s ok My main man

Step-by-step explanation:

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