Move −20-20 to the right side of the equation because it does not contain a variable.−9y+4x=20-9y+4x=20−7y+16x−80=0-7y+16x-80=0Move −80-80 to the right side of the equation because it does not contain a variable.−9y+4x=20-9y+4x=20−7y+16x=80-7y+16x=80Write the system of equations in matrix form.[4−92016−780][4-92016-780]Find the reduced row echelon form of the matrix.Tap for more steps...[105010][105010]Use the result matrix to declare the final solutions to the system of equations.x=5x=5y=0y=0The solution is the set of ordered pairs that makes the system true.(5,0)(5,0)Decompose a solution vector by re-arranging each equation represented in the row-reduced form of the augmented matrix by solving for the dependent variable in each row yields the vector equality.X=[xy]=[50]
Answer:
Step-by-step explanation:
The easiest way to do this is by using synthetic division (I really hope you know what I'm talking about!)
If the factor is x + 2 = 0, then the solution or the root is x = -2. We will put -2 outside the "box" and the coefficients from the terms of the polynomial inside the "box":
-2| 1 0 0 8
Bring down the first number and multiply it by the -2. Put the product up under the first 0 and add:
-2| 1 0 0 8
-2
1 -2
Now multiply the -2 by the -2, put the product up under the next 0 and add:
-2| 1 0 0 8
-2 4
1 -2 4
Now multiply the 4 by the -2, put the product up under the 8 and add:
-2| 1 0 0 8
-2 4 -8
1 -2 4 0
Those bold numbers are the coefficients to the quotient, which is another polynomial, but is one degree less than the one you started with:
x² - 2x + 4 = 0
Since there is no remainder, then x = -2 is a zero of x³ + 8, and (x + 2) is a factor.
There is a whole world of stuff to learn about quadratics!!
Annual salary = 47,980
If you are paid biweekly, you are paid 26 times per year, so
biweekly pay = 47,980 / 26 =
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1,845.38</span></span></span>
