The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trigonometric function.
Assume the length of the year (which is the period of change) is exactly 365 days long. The hottest day of
the year, on average, is January 7, when the average temperature is about 29°C. The average temperature
at the coolest day of the year is about 14°C
Find the formula of the trigonometric function that models the daily average temperature T in Santiago t
days into the year. (t = 1 on January 1) Define the function using radians.
T(t)
What is the average temperature in Santiago on January 31? Round your answer, if necessary, to two
decimal places

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

the answer is 48m^2!

step-by-step explanation: