The graph shows a quadratic function of the form P ( t ) = a t 2 + b t + c which represents the yearly profit for a company, where P ( t ) is the profit in year t . (a) Is the value of a positive, negative, or zero? Explain. (b) Write an expression in terms of a and b that represents the year t when the company made the least profit. (c) The company made the same yearly profits in 2008 and 2016. Estimate the year in which the company made the least profit.
The graph shows a quadratic function of the form P ( t ) = a t 2 + b t + c which represents the yearly profit for a company, where P ( t ) is the profit in year t . (a) Is the value of a positive, negative, or zero? Explain. (b) Write an expression in terms of a and b that represents the year t when the company made the least profit. (c) The company made the same yearly profits in 2008 and 2016. Estimate the year in which the company made the least profit.
Solution Summary: The author explains that the value of a is positive, since the graph of the function is symmetrical about its vertex. The year in which the company made the least profit is 2012.
The graph shows a quadratic function of the form
P
(
t
)
=
a
t
2
+
b
t
+
c
which represents the yearly profit for a company, where
P
(
t
)
is the profit in year
t
.
(a) Is the value of
a
positive, negative, or zero? Explain.
(b) Write an expression in terms of
a
and
b
that represents the year
t
when the company made the least profit.
(c) The company made the same yearly profits in 2008 and 2016. Estimate the year in which the company made the least profit.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.