Need on number 13 and 14
1.
a psychologist finds that the response to a certain stimulus varies with age group
according to
r= y^4 +2y^3 - 4y^2 -5y +14,
- where r is response in microseconds and y is age group in years. for what age
group is the response equal to 8 microseconds?
2. the profit of a football club after a takeover is modelled by
p(t)=t^3 -14t^2 +20t +120,
where t is the number of years after the takeover. in which years was the club
making a loss?

Question 13: For age groups y=1 and y=1.3 response is 8 microseconds.

Question 14: The club was making a loss between 11.28 and 4.88 years.

Step-by-step explanation:

Question 13:

The age group y for which the response rate R is 8 microseconds  is given by the solution of the equation

We graph this equation and find the solutions to be

Since only positive solutions for y are valid in the real world we take only those.

Thus only for age groups y=1 and y=1.3 the response is 8 microseconds.

Question 14:

The footbal club is making a loss when

Or

We graph this inequality and find the solutions to be

and

Since in the real world only positive values for t are valid, we take the the second solution to be true.

Thus the club was making a loss in years