Which statements are true about the ordered pair (10, 5) and the system of equations? (Look at the file to answer the question)

Answers:

The first and third options should be selected.

Explanation:

In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.

Let's try the first equation. Substitute 10 for x and 5 for y and solve:

-5 does equal -5, so (10,5) is a solution to the first equation.

Next, let's test the second equation. Do the same:

However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.

So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot  be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

ian gonna lie that is way to much