Someone help me please and explain how you got your answer.

Mathematics

1 answer:

zimovet [89]3 years ago

3 0

*I'm not exactly sure what it means by compare the percents of change*

From 2000 to 2005, that's 5 years.
After 5 years, the population decreased from 4.3 mil to 3.2 mil; 3.2 - 4.3 = -1.1; that's a decrease of 1.1 mil.
1.1 mil out of 4.3 mil is approximately 26%.
So from 2000 to 2005, the population decreased by 26%.

From 2005 to 2010, that's also 5 years.
After that 5 years, the population increased from 3.2 mil to 5.6 mil; 5.6 - 3.2 = 2.4; that's an increase of 2.4 mil. 2.4 mil out of 3.2 is 75%.
So from 2005 to 2010, the population increased by 75%.

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Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

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ANSWER

D.
$A=3,P=2\pi,PS=(4,9)$

EXPLANATION

The given function is

$f(x) = 3 \sin(x - 4) + 9$

Comparing to the general form of a trigonometric sine function,

$f(x) = A \sin(Bx-C)+D$

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The amplitude is absolute value of A

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$B=1$

The period is given by

$p = \frac{2\pi}{ B}$

$p = \frac{2\pi}{ 1} = 2\pi$

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and

$D=9$

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

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