9. write an equation of your own that has infinitely many solutions. transform the equation to demonstrate that it has infinitely many solutions.

10. write an equation of your own that has no solution. transform the equation to demonstrate that it has no solution.

9. x=x

10. 4=5

9. Because a variable equals itself, any real number, positive or negative, can be put into the variable and it will always be true

10. Because the numbers on both sides of the equation do not truly equal each-other, it has no solutions.

the statemwnt is the company makes small and large snow cone cups.

large=it holds more then the small

small=it holds less then the large

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."