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3 years ago

Item 2 Solve the equation. 6.7x=5.2x+12.3

1 answer:

6 0

To solve for x, subtract 5.2x on both sides to get 1.5x=12.3. divide 1.5 on both sides to get x = $\frac{123}{15}$ or x = $\frac{41}{5}$ = 8.2

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3 years ago

Anybody know the right answer?

Dmitry_Shevchenko [17]

If we just have

$y = \cos x$

that's an amplitude of 1 and a period of $2\pi$

Let's modify this step by step.

Amplitude of 4. Four times the amplitude means a factor of 4 on the outside.

$y = 4 \cos x$

Period of π. Double the period means a factor of 2 on the inside.

$y = 4 \cos(2x)$

Horizontal shift of π/2 to the left. To the left means adding a positive number to x. The question appear ambiguous. It's not clear to me if we add to x or 2x; let's make it

$y = 4 \cos(2(x + \frac \pi 2))$

Vertical shift of 3:

$y = 3 + 4 \cos(2(x + \frac \pi 2))$

$y = 3 + 4 \cos(2x + \pi)$

Depending on the interpretation of the phase shift, that pi may be a pi/2.

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3 years ago