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goldfiish [28.3K]
3 years ago
7

ABC is similar to DEC Find the length of x. The length of side x is m

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
<h3>Answer:</h3>

x = 18.75 m

<h3>Step-by-step explanation:</h3>

In the similar triangles, ...

... EC/ED = BC/BA

... (2.5 m)/(3.2 m) = x/(24 m)

Multiplying by 24 m gives

... x = (24 m)(25/32) = (75 m)/4 = 18.75 m

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We are given that revenue of Tacos is given by the mathematical expression -7x^{2}+32x+240.

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(B) Let us factor the given revenue expression.

-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\

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(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.


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