financial planning does require preparation.
In the Figure below is shown the graph of this function. We have the following function:
![f(x)=x^3+2x^2-x-2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3%2B2x%5E2-x-2)
The
occurs when
, so:
![f(0)=(0)^3+2(0)^2-(0)-2=-2](https://tex.z-dn.net/?f=f%280%29%3D%280%29%5E3%2B2%280%29%5E2-%280%29-2%3D-2)
Therefore, the
is the given by the point:
![\boxed{(0,-2)}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%280%2C-2%29%7D%20)
From the figure we have three
:
![\boxed{P_{1}(-2,0)} \\ \boxed{P_{2}(-1,0)} \\ \boxed{P_{3}(1,0)}](https://tex.z-dn.net/?f=%20%5Cboxed%7BP_%7B1%7D%28-2%2C0%29%7D%20%5C%5C%20%5Cboxed%7BP_%7B2%7D%28-1%2C0%29%7D%20%5C%5C%20%5Cboxed%7BP_%7B3%7D%281%2C0%29%7D%20)
So, the
occur when
. Thus, proving this:
![f(x)=x^3+2x^2-x-2 \\ \\ For \ P_{1}:\\ If \ x=-2, \ y=(-2)^3+2(-2)^2-(-2)-2=0 \\ \\ For \ P_{2}:\\ If \ x=-1, \ y=(-1)^3+2(-1)^2-(-1)-2=0 \\ \\ For \ P_{3}:\\ If \ x=1, \ y=(1)^3+2(1)^2-(1)-2=0](https://tex.z-dn.net/?f=%20f%28x%29%3Dx%5E3%2B2x%5E2-x-2%20%5C%5C%20%5C%5C%20For%20%5C%20P_%7B1%7D%3A%5C%5C%20If%20%5C%20x%3D-2%2C%20%5C%20y%3D%28-2%29%5E3%2B2%28-2%29%5E2-%28-2%29-2%3D0%20%5C%5C%20%5C%5C%20For%20%5C%20P_%7B2%7D%3A%5C%5C%20If%20%5C%20x%3D-1%2C%20%5C%20y%3D%28-1%29%5E3%2B2%28-1%29%5E2-%28-1%29-2%3D0%20%5C%5C%20%5C%5C%20For%20%5C%20P_%7B3%7D%3A%5C%5C%20If%20%5C%20x%3D1%2C%20%5C%20y%3D%281%29%5E3%2B2%281%29%5E2-%281%29-2%3D0%20)
Answer:
Option D (r(t) = 3.50t +25
; r(8) = 53)
Step-by-step explanation:
The fixed cost to rent the kayak $25. This is the cost which remains fixed irrespective of the usage of the kayak. The variable cost of using the kayak is the cost which depends on the usage of the kayak. It is mentioned that the kayak is used for 4 hours and the company charges $3.5 for every half hour. The cost function is given by:
r(t) = 25 + 3.5t ; there r is the total cost of using the kayak and t is the number of half-hours the kayak is used.
4 hours means that there are 8 half-hours. Therefore, t=8. Put t=8 in r(t).
r(8) = 25 + 3.5*(8) = 25 + 28 = 53.
Therefore, Option D is the correct answer!!!
Letter D
1-sin^2(x) = cos^2(x)
= sin^2(x)/cos^2(x)
= tan^2(x)
Answer:
−
12
a
3
x
(
7
−
x
)
(
1
4
+
p
)
(
1
4
−
p
)
(
5
v
+
1
)
(
5
v
−
1
)
Step-by-step explanation:
I think these are the right answers