Answer:
1) Option B is correct.
The inverse of the function, T⁻¹(x), represents the The height above the surface (in kilometers) when the temperature is x degrees Celsius.
2) T⁻¹(x) = 12.2 - 0.4x
3) T⁻¹(15) = 6.2 m
Step-by-step explanation:
1) The inverse of a function is a function that reverses the effects of the original function on the variable that determines the original function's value.
T(h) = 30.5 - 2.5h
The original function takes the height in kilometres and converts it to temperature at that point in degree Celsius, So, the inverse function will take the temperature in degree Celsius and produce the corresponding height in kilometres.
So, it is the The height above the surface (in kilometers) when the temperature is x degrees Celsius.
The inverse functuon is given as T⁻¹ (x)
2) To obtain T⁻¹(x)
T(h) = 30.5 - 2.5h
We make h the subject of formula
2.5h = 30.5 - T
h = (30.5 - T)/2.5
h = 12.2 - 0.4T
T⁻¹(x) = 12.2 - 0.4x
3) T⁻¹(x) = 12.2 - 0.4x
when x = 15°C
T⁻¹(15) = 12.2 - 0.4(15) = 6.2 m
Answer:
8
Step-by-step explanation:
m2 - 2mn + n2 ,m = -2 and n = 4
= -2( 2 ) - 2( -2 )( 4 ) + ( -2 )2
= -4 + 4( 4 ) - 4
= -4 + 16 - 4
= 8
Answer:
72.225 $
Step-by-step explanation:
The price per pack: 5.00 $
When the amount of packs is > 10 :
90 % * 5 $ = 4.50 $ before tax.
The price of 15 packs:
4.50 $ * 15 = 45 + 22.5 = 67.5 $ before tax.
After tax:
107 % * 67.5 $ = 72.225 $ after tax.
You should put at least 400 in the savings Which impact did WWII have on the U.S?
A. The U.S. had to rebuild much of its own infrastructure due to the damages of the War
B. The U.S. had one of the highest death tolls of the War
C. The U.S. decided to not get involved in any
future wars
D. The U.S. experienced large economic growth as a result of their wartime economy
Answer:
A,D
Step-by-step explanation:
Swimming and Hockey can have either male or female players
