1. what is the solution to the system of equations? 3x-6y=-12 x-2y=-8 (a) use the substitution method to justify that the given system of equations has no solution. (b) what do you know about the two lines in this system of equations?

I know I am answering 3 years late but for the people who need help, this is the answer. I know because I go to k12. And FYI I am using the substitution method so you don't need to worry about that :)

A) 3x-6y=-12

x-2y=-8  

3(2y – 8) - 6y = -12  

 6y – 24 – 6y = -12  

 -24 ≠ -12  

There is no solution.  

B) If we were to graph them, the two lines would not intersect; they would be parallel.  

18.8 cubic inches.

step-by-step explanation:

volume of a cone = πr²h

r = 1.5 inches

h = 8 inches

pi = 3.14

volume of our cone = × 3.14 × 1.5² × 8 = 18.84 square inches

or equals to 18.8 square inches rounded up to nearest tenth.

(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