Answer:
i dont get this but yea i wish i could bud sorry
Step-by-step explanation:
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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:

Answer:
Exponential form: 5^3
Expanded form: 5*5*5
Standard form: 125
Step-by-step explanation:
The exponential form is when we use the ^ symbol. The base is the number before the ^ and the exponent is the number after the ^. When five is cubed, the base is 5 and the exponent is 3.
Therefore, the exponential form is 5^3. We can also write it with a little 3 on the top right corner of the 5, that is
.
On the expanded form we use multiplications. The exponent number tells us how many times to multiply the base number by itself. When 5 is the base and 3 the exponent, we have to multiply 3 times the number 5 by itself. That is 5*5*5.
The standard form is the result of the calculations we wrote before. The easiest way is to get it from the expanded form.
5*5*5 = 25*5 = 125