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:
Let width be x, then length be 2x – 2
Now, Area of rectangle = L × B
- x(2x – 2) = 40
- 2x² – 2x – 40 = 0
- 2(x² – x – 20) = 0
- x² – x – 20
- x² –5x + 4x – 20 = 0
- x(x – 5) + 4(x – 5) = 0
- (x + 4)(x – 5) = 0
- x = – 4; 5
Hence, width can't be negative.
So width = 5in.
And Length = 2 × 5 – 2
So, <u>Correct choice</u> - [D] Length is 8 in, Width is 5 in.
Answer:
Step-by-step explanation:
average 30
36+12+25+40+10+54+?=
177+?==ortalamax days
177+?=7*30
177+?=210
?=33
They are inverses.
The easiest way to solve this is to take the g(x) equation and switch the g(x) with the x. Then solve for your new g(x). Since it looks just like f(x) after doing that, it is an inverse.
Answer:
Step-by-step explanation:
