Match each expression to the scenario it represents.
Expressions
Scenario
the price of...
Mathematics, 09.12.2020 22:50 tishaadams2160
Match each expression to the scenario it represents.
Expressions
Scenario
the price of a game that’s been discounted
18% off its list price (x)
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the price of a toy that sells for 18% more
than the amount (x) needed to build the toy
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the volume of water remaining in a tank after
of its original volume (x) is drained out
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the total amount of flour in a bakery after receiving new stock equal to of its current stock (x)
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Answers: 2
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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