Answer:
3x^2 -3x - 3.
Step-by-step explanation:
Just subtract:
5x^2 - 3x + 2 - (2x^2 + 5)
= 5x^2 - 3x + 2 - 2x^2 - 5
= 3x^2 -3x - 3.
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
Find the first derivatives:
.
Solve the system
:
. The second equation has solutions
and then
and you have two points
.
Find the first derivatives:
and calculate
![\Delta=\left| \left[\begin{array}{cc}24&-24\\-24&12y\end{array}\right]\right |=24\cdot 12y-(-24)^2=288y-576](https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%7C%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D24%26-24%5C%5C-24%2612y%5Cend%7Barray%7D%5Cright%5D%5Cright%20%7C%3D24%5Ccdot%2012y-%28-24%29%5E2%3D288y-576)
.
Since
and
,
is a point of maximum and
.
Since
and
,
is a point of minimum and
.
Answer:
see below
Step-by-step explanation:
16x^2 − 8x + 1
(4x)^2 -8x +1
Factor
This is a perfect square trinomial
a^2 -2ab +b^2 = (a-b)(a-b)
(4x)^2 -8x +1 = (4x-1) (4x-1)
The area of a square is given by
A = s^2
(4x-1) ^2 = s^2
4x-1 = s
The side length is 4x-1
(81x^2 − 4y^2)
(9x)^2 - (2y)^2
This is the difference of squares
a^2 - b^2 = (a-b) (a+b)
(9x-2) (9x+2)
The area of a rectangle is
A = l*w
(81x^2 − 4y^2) = (9x-2) (9x+2)
The dimensions are (9x-2) (9x+2)
Answer:
t=18
Step-by-step explanation:
t-15=3
t=18
