2 years ago

Prove that cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x).

Mathematics

1 answer:

strojnjashka [21]2 years ago

5 0

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After 4 days, a bookstore has 140 copies of a new title still on hand. After 9 days, the bookstore has 50 copies still on hand.

alexira [117]

Answer:

$c(t) =-18t +212$

Step-by-step explanation:

Given

$(t_1,c_1) = (4,140)$

$(t_2,c_2) = (9,50)$

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First, we calculate the slope (m)

$m = \frac{c_2 - c_1}{t_2 - t_1}$

$m = \frac{50 - 140}{9-4}$

$m = \frac{-90}{5}$

$m = -18$

The equation is then calculated as:

$c =m(t - t_1) + c_1$

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$c =-18t +72 + 140$

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Hence, the function is:

$c(t) =-18t +212$

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2 years ago