For which pair of functions is (gof)(a) = al-2? O f(a) = a? – 4 and g(a) = Va o fla) = 3a-1 and g(a) = 2a - 2 O f(a) = 5 + a² an
d g(a) = a-5-2 O f(a) = 3 - 3a and g(a) = 4a - 5
2 answers:
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Answer:
The function for the outside temperature is represented by , where t is measured in hours.
Step-by-step explanation:
Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:
Amplitude
Mean temperature
Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:
Where:
- Mean temperature, measured in degrees.
- Amplitude, measured in degrees.
- Daily period, measured in hours.
- Time, measured in hours. (where t = 0 corresponds with 5 AM).
If ,
and
, the resulting function for the outside temperature is:
we are given
DEF is a line
so, sum of angles must be 180
angle(DEG)+angle(GEF)=180
now, we can plug values
.........Answer
vertically opposite angle must be equal
angle(GEF)=angle(DEH)
now, we can plug values
now, we can plug x=16
...................Answer