Show work please 14 days = ______________ seconds 1 year = ______________ minutes
1 answer:
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Answer:
The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is .
The domain of the function is all real numbers and its range is between -4 and 5.
The graph is enclosed below as attachment.
Step-by-step explanation:
Let be the base formula, where
is measured in sexagesimal degrees. This expression must be transformed by using the following data:
(Period)
(Minimum)
(Maximum)
The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of radians. In addition, the following considerations must be taken into account for transformations:
1) must be replaced by
. (Horizontal scaling)
2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:
3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)
The new function is:
Given that ,
and
, the outcome is:
The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.
Answer: The age of the twins is 10 years.
Step-by-step explanation:
Suppose the age of older sister be x
Let the age of twins sister be x-9, as they are born after 9 years.
Product of their ages be
Sum of their ages will be
According to question,
So, Age of older sister will be 19 years.
Age of the twins will be
Hence, the age of the twins is 10 years.