The function that represents surviving people are X = 2m - d
Given that there are m married couples and d of the 2m of these couples have died, the total people that remain is expressed as:
Total people remaining = Total married couple - those that died
Total married couple = 2m
Total people that died = d
Taking the difference to get the remaining people;
Total people remaining = 2m - d
Hence the function that represents surviving people are X = 2m - d
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Answer: The correct answer is (A) - 60/7 :)
Step-by-step explanation: The answer is A because all of the other ones make absolutely no sense one bit at all...!
Direct variation is a relation that has the form
y = kx
where k is the constant of proportionality.
If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.
Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?
Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:
y = kx
We are given one data point, 5 gallons cost $15.
We plug in 5 for x and 15 for y and we find k.
y = kx
15 = k * 5
k = 3
Now that we know that k = 3, we rewrite the relation using our value of k.
y = 3x
This is the answer to part a).
Part b)
We use our relation, y = 3x, and we plug in 13.8 into x and find y.
y = 3x
y = 3 * 13.8
y = 41.4
The price of 15 gallons of gas is $41.40.
Given:
are in geometric sequences.
To find:
The value of x.
Solution:
If a, b, c are in geometric sequences, then

...(i)
It is given that
are in geometric sequences. By using (i), we get




On further simplification, we get



Therefore, the value of x is 0.
<span>B) Cubic Trinomial
It is cubic because it goes up to the 3rd power, as seen in 3x^3. A quadratic function would only go up to the 2nd power, and a quartic function would go to the 4th. It is a trinomial rather than a binomial as it has three terms. The constant is considered as a term. It would be a binomial only if there were two terms.</span>