1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bas_tet [7]
3 years ago
6

Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is

the temperature in Celsius at a height of kilometers above the planet's surface. The relationship is as follows.
T(h)= 30.5- 2.5h

Complete the following statements.

Let T ^-1 be the inverse function of T. Take x to be an output of the function T.
1. Which statement best describes T^-1 (x)?

a. The reciprocal of the temperature (in degrees Celsius) at a height of x kilometers.
b. The height above the surface (in kilometers) when the temperature is x degrees Celsius.
c.The temperature (in degrees Celsius) at a height of x kilometers.
d. The ratio of the temperature (in degrees Celsius) to the number of kilometers, x.

2. T^-1(x)=_______
3. T^-1 (15)=______
Mathematics
1 answer:
Liula [17]3 years ago
6 0

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

You might be interested in
The field hockey team is holding several fundraisers to save up enough money to buy team jackets. Babysitting earns $6 per hour
Tamiku [17]
I think it's B... Hope this helps!
7 0
3 years ago
Same value as 40% of 84
nordsb [41]

Answer:

33.6

you are welcome :)

Step-by-step explanation:

4 0
3 years ago
How many solutions does the system of equations have?
SIZIF [17.4K]
The answer is d) none because substituting -1/4x + 5/3 for y in the first equation gives 3x - 3x + 5/3 = 20 so 5/3 = 20 which is not true. 
8 0
3 years ago
Insert parentheses to make the equation true then simplify
Liono4ka [1.6K]
10(4^2-(9)

Since 16-9 is 7
And 10 times 7 is 70
3 0
4 years ago
Harmons and Smiths are having a sale on apples. Harmons charges $1.25 for 5 apples. Smiths charges $2.04 for 6 apples. Find the
8090 [49]

Answer:

0.09

Step-by-step explanation:

Divide 1.25 by 5 which is 0.25, and 2.04 by 6 which is 0.34

Then subtract the answers 0.34-0.25=0.09

7 0
3 years ago
Other questions:
  • A city’s population, P, is modeled by the function P(x) = 78,500( 1.02 )x where x represents the number of years after the year
    12·1 answer
  • The claim is that for the population of adult​ males, the mean platelet count is μ>217. The sample size is n=50 and the test
    7·1 answer
  • I got 7. check my answer please :)
    9·2 answers
  • A student tries out for the track team and runs a lap in 45 seconds. The coach tells her she will have to cut her time by 50% to
    10·2 answers
  • What what is y = -3 x + 2 on a graph
    14·2 answers
  • What different equations = 52 I need lots please help with some stories behind them.
    13·1 answer
  • Please help!! Im super confused
    12·1 answer
  • jess travels 5 miles to school and pam travels 10 km. Who travels further? plz help i got 2 minutes ti answer​
    5·1 answer
  • Can someone help me please
    15·1 answer
  • Trent buys a playground slide priced at $583. If the sales tax is 5%, how much tax will
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!