Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0
answer is third one
Step-by-step explanation:
Pabula- ang pabula ay nang galing sa English world na parable na nang galing namn sa Greek world na parabol na ang ibig sabihin na maiksing sanaysay.
Emento-ang mga Elemento na ma tag puan sa parabulang kwento at banghay ng kwento.
Nilalaman-ang nilalaman ng parabula ay tungkol sa isang katiwala na nag lulustay ng ari-arian sa kanyang amo.
Kakanyahan-ang kakanyahan ng parabula ang tusong katiwala ay ang pagtitiwala at pag taksil.
!! Yan napo sana nakakatulong po!!
Answer:
<h2>The domain is all real values of x except

.</h2>
Step-by-step explanation:
The function,
.
g(x) = 5x - 4.
Hence, (f circle g) (x) =
.
We need to find the domain of (f circle g) (x) .
The domain means the set of values of x, for which we will get a real value of (f circle g) (x).
The function will not give a real value when, 5x - 4 = 0 that is
.
Hence, the domain of the function will be all real values of x rather than
.
Answer:
![\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5Cend%7Barray%7D%5Cright%5D%20%2A%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%261%5C%5C4%26-2%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3x%2B4y%26x-2y%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The general matrix representation for this transformation would be:
![\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5Cend%7Barray%7D%5Cright%5D%20%2A%20A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3x%2B4y%26x-2y%5Cend%7Barray%7D%5Cright%5D)
As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.
![\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5Cend%7Barray%7D%5Cright%5D%20%2A%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3x%2B4y%26x-2y%5Cend%7Barray%7D%5Cright%5D)
Solving the matrix product you have that the members of the result matrix are:
3x+4y = a*x + c*y
x - 2y = b*x + d*y
So the matrix A should be:
![\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D3%261%5C%5C4%26-2%5Cend%7Barray%7D%5Cright%5D)
Answer:
Initial Fee is $2.
Step-by-step explanation:
Given:
Stops Price (dollars)
3 6.50
7 12.50
11 18.50
Also Given:
The price of a train ticket consists of an initial fee plus a constant fee per stop.
So let the Cost of initial fee be 'x'.
Also Let the Cost of Constant fee be 'y'.
Now Equation can framed as;

Now According to table;
Number of stops = 3
Price = 6.50
So equation can be framed as;

Also According to table;
Number of stops = 7
Price = 12.50
So equation can be framed as;

Now Subtracting equation 1 from equation 2 we get;

Substituting the value of y in equation 1 we get;

Hence Initial Fee is $2.