Adding measurements? A microwave is placed on top of two boxes. One box is 3 feet 8 inches tall, the other box is 4 feet 10 inch
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Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.
<h3>What is a Quadratic Equation?</h3>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,
As we can see that the value of constants are,
a = 6
b = -31
c = 30
Therefore, the factors of the trinomial are (6x+5) and (x-6).
If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.
Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.
Learn more about Quadratic Equation:
Answer:
The reduced row-echelon form is
The solutions to the system of equations are:
Step-by-step explanation:
To solve this system of linear equations,
you must:
Step 1: Transform the augmented matrix to the reduced row echelon form.
In an augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.
This is the augmented matrix that represents the system.
It can be transformed by a sequence of elementary row operations to the matrix.
There are three kinds of elementary matrix operations.
- Interchange two rows (or columns).
- Multiply each element in a row (or column) by a non-zero number.
- Multiply a row (or column) by a non-zero number and add the result to another row (or column).
Using elementary matrix operations, we get that
Row Operation 1: add -2 times the 1st row to the 2nd row
Row Operation 2: add 1 times the 1st row to the 3rd row
Row Operation 3: multiply the 2nd row by -1/3
Row Operation 4: add -2 times the 2nd row to the 3rd row
Row Operation 5: add 4 times the 2nd row to the 1st row
Step 2: Interpret the reduced row echelon form
The reduced row echelon form of the augmented matrix is
which corresponds to the system
The system has infinitely many solutions.