Answer:
In order to have a consistent linear system represented by the augmented matrix:
![\left[\begin{array}{ccc}2&-3&h\\-6&9&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%26h%5C%5C-6%269%265%5Cend%7Barray%7D%5Cright%5D)
the value of h must be:
Step-by-step explanation:
A system is consistent if it has a solution, this solution can be unique or a set of infinite solutions.
First, you take the augmented matrix and find the equivalent row echelon form using Gaussian-Jordan elimination:
To do this, you have to multiply the 1st row by 3 and add it to the 2nd row, the resulting matrix is:
![\left[\begin{array}{ccc}2&-3&h\\0&0&5+3h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%26h%5C%5C0%260%265%2B3h%5Cend%7Barray%7D%5Cright%5D)
Now, write the system of equations:
The only way this system has a solution is if 5+3h=0, then, to satisfy this, the value of h must be:
Its + 5
That means the graph is moved 5 units to the LEFT
Given
Michonne's Phone service charges $18.09 for an activation fee plus $2 for every gigabyte(g) used
Show the graph model for the above sitution.
To proof
As given in the question
Michonne's Phone service charges = $18.09
activation fee plus for every gigabyte(g) used = $2
let the gigabyte used be = x
let the total charges of phone = y
Than the equation become in the form
18.09 + 2x =y
the graph is shown as below.
Hence proved
So just find the factors of 90
90=2 times 3 times 3 times 5
so the factors could be
2,3,15
2,9,5
6,3,5
10,3,3
there are 4our
$25.99x
Step-by-step explanation:
As, for 1 song = $0.99 + $25
So, 1 song = $25.99
So, x song = $25.99 multiplied by x
Which is = $25.99x
So answer = $25.99x
