The function g(x) can be expressed as the inverse of f(x) as;
g(x) = ¼x - 3
<h3>Inverse Functions</h3>
Complete question is;
If g(x) is the inverse of f(x) and f(x) = 4x + 12 what is g(x)?
- Now, for us to find the inverse of a function, we need to make the output the subject of the formula first and then switch the input and new output values.
Thus;
f(x) = 4x + 12
Thus;
(f(x) - 12)/4 = x
x = ¼f(x) - 3
Thus, switching as said above, we now have;
g(x) = ¼x - 3
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Answer:
11 kg
Explanation:
Given weight in kg ∝ d² where d is the distance of the object from the center of the earth
We can write this as an equatio
w = (k/d²) where is a constant
On the surface of the earth, d = 600, w = 80 so we get
80 = k/600² ==> k = 600² ( 80) = 600 x 600 x 80 (1)
At 1000 km altitude, the actual distance of the astronaut from the center of the earth is 1000 + 600 - 1600 km
So we get another equation w' = k/1600²
were w' is the weight of the astronaut at an altitude of 1000km
Using the value of k from (1) we get
w' = (600 x 600 x 80)/(1600 x 1600) = 11.25kg = 11 correct to the nearest kg
The portfolio margin requirement is mathematically given as
M = 15,000
This is further explained below.
<h3> What is the portfolio margin requirement?</h3>
Generally, the equation for Margin requirement is mathematically given as
M= 15% of 100,000
Therefore
M = 15,000
In conclusion, The portfolio margin requirement is mathematically given as
M = 15,000
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#SPJ1
The main idea of the passage "energy from the wind" is "how wind energy can be useful and helpful".
<h3>What is wind energy?</h3>
Wind energy is the the energy gotten from the wind. It is a renewable source of energy which does not cause pollution in the environment. Wind energy is cost efficient because you don't need to replace it from time to time unlike other sources of energy such as fossil fuels.
Wind energy is one of the oldest source of energy, it has been used by the Egyptians to sail ships and the people of the United States also used wind energy to pump water in their farms.
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Continental Drift was his theory
The continents were separating farther and farther from each other so he came up with the theory that were drifting away from each other but didn’t have proof of how
