The moon's illumination changes in a periodic way that can be modeled by a trigonometric function.

On the night of a full moon, the moon provides about 0.25 lux of illumination (lux is the SI unit of

illuminancel During a new moon, the moon provides 0 lux of illumination. The period of the lunar cycle is

29.53 days long. The moon will be full on December 25, 2015. Note that December 25 is 7 days before

January 1,

Find the formula of the trigonometric function that models the illumination L of the moon t days after

January 1, 2016. Define the function using radians.

your answer would be b

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb