Given:
$90 good for 3 pax for 1 week.
a) $90 / 3 = $30 cost to feed each person in a week
b) $30 cost to feed each person * 5 persons = $150
c) $30 cost to feed each person * 6 persons in a family = $180
The formula derived from the above facts is:
Total cost = cost per person * no. of person * no. of weeks.
Assuming = 6 persons for 2 weeks
Total cost = 30 x 6 x 2
Total cost = 180 x 2
Total cost = 360 cost to feed a family of 6 in 2 weeks.
as the exterior angle is known
sum of that angle and f angle = 180
142 + f = 180
f = 180 - 142
f = 38
Essentially, we are trying to find the missing constant term of
(remember that we are subtracting
due to the negative sign in front of the second term). Let's expand this to see what we can work with:


Now, we know the second term is
, so let's set the second term in the polynomial we just found equal to
:


- Divide both sides of the equation by


- Divide both sides of the equation by 2
We have found
. We know the missing constant term is
, according to the polynomial we found earlier. Thus, the missing term is:

The missing constant term is 36.
Answer:
(Since polinomial functions are continuous)
(As this quadratic function has an absolute minimum, represented by its vertex)
Step-by-step explanation:
Graphically speaking, quadratic functions are represented by parabolas. In this case, we have a parabola in factorized form. From Theory of Functions, we get that domains of function represents the set of values of
so that exist an image, whose set is known as range is represented by values of
.
is represented by horizontal axis in the figure, whereas
is represented by the vertical axis. By using this approach we get that domain and range of the function are, respectively:
(Since polinomial functions are continuous)
(As this quadratic function has an absolute minimum, represented by its vertex)
The volume is 446.4³ft.
Sam will need 446.4 cubic feet of cement.