Answer:
Answer: OPTION B
Step-by-step explanation
By definition, the parent function is the simplest form of a function. In this case, you have the quadratic parent function
As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:
Therefore, the equation of the function g(x) is:
Given:
The given sets are:
Set a : 200, 104, 100, 160.
Set b: 270, 400, 483, 300, x.
Mean of set a: mean of set b= 3:8
To find:
The value of x.
Solution:
Formula for mean:

The mean of set of a is:



The mean of set of b is:



It is given that,
Mean of set a: mean of set b= 3:8




Isolate the variable x.


Divide both sides by 3.


Therefore, the value of x is 427.
Answer:
x = 45
Step-by-step explanation:
Solution:
x - y = 30
x - 15 = 30 ( y = 15 given)
x = 30 + 15
Therefore, x = 45
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The person sleeps 8 hours a day.
There are 365 days in a year and 366 days in a leap year.
A leap year occurs every 4 years.
If we divide 75 by 4, we get 18.75. This number represents how many leap years occurred in 75 years. So, the person experienced approximately 19 leap years.
19 leap years has 6954 days.
The other 56 years, which have 365 days each year, have a total of 20,440 days.
That's a total of 27,394 days.
27,394 × 8 = 219,152 hours
This is approximately 24 years or 9,131 days.