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Yanka [14]
2 years ago
6

Write the algebraic expression for "Five times the difference of x and 2

Mathematics
1 answer:
makvit [3.9K]2 years ago
5 0

Answer:

5 ( x-2)

Step-by-step explanation:

start by the "five times"- this is multiplication

"difference of x and 2" shows subtraction, put both together and you get 5 (x-2)

Hopefully this helps, let me know if you have any other questions!

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The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = −
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Given:

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

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To find:

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Solution:

We have,

P(x)=-15x(x-8)

P(x)=-15x^2+120x

Differentiate with respect to x.

P'(x)=-15(2x)+120(1)

P'(x)=-30x+120      ...(i)

To find the extreme point equate P'(x)=0.

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Divide both sides by -30.

x=4

Differentiate (i) with respect to x.

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P'(x)=-30 (Maximum)

It means, the given function is maximum at x=4.

Therefore, the current of 4 amperes will produce the maximum power.

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