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EastWind [94]
3 years ago
6

ASAP pleaseeeee Marty was renting a boat and wanted to get the best plan . Rental plan A charges a fee of $ 50 plus $ per hour P

lan B charges a fee of $ 10 plus $ 35 per hour , wrote a syatem of equations (be sure ti identify the variables )
Mathematics
1 answer:
GrogVix [38]3 years ago
7 0

Answer:

50(x) and 10+35(x)

Step-by-step explanation:

Because ypu are multiplying 50 by however many hours and then you are adding 10 to 35 foreveryhour

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Sin2x-sin2xcos2x=sin4x
yaroslaw [1]

It looks like the given equation is

sin(2x) - sin(2x) cos(2x) = sin(4x)

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

which lets us rewrite the equation as

sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)

Move everything over to one side and factorize:

sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0

sin(2x) - 3 sin(2x) cos(2x) = 0

sin(2x) (1 - 3 cos(2x)) = 0

Then we have two families of solutions,

sin(2x) = 0   or   1 - 3 cos(2x) = 0

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… … …   or   [2x = arccos(1/3) + 2nπ   or   2x = -arccos(1/3) + 2nπ]

(where n is any integer)

[2x = 2nπ   or   2x = π + 2nπ]

… … …   or   [2x = arccos(1/3) + 2nπ   or   2x = -arccos(1/3) + 2nπ]

[x = nπ   or   x = π/2 + nπ]

… … …   or   [x = 1/2 arccos(1/3) + nπ   or   x = -1/2 arccos(1/3) + nπ]

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