SOLUTION: find the values of a for which the statement is always true when x is a whole number. explain your reasoning. - 2x + a is odd - -ax^2 is nonnegative - 3x + a is divisible by

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: find the values of a for which the statement is always true when x is a whole number. explain your reasoning. - 2x + a is odd - -ax^2 is nonnegative - 3x + a is divisible by      Log On


   

Question 554159: find the values of a for which the statement is always true when x is a whole number. explain your reasoning.
- 2x + a is odd
- -ax^2 is nonnegative
- 3x + a is divisible by 3
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
-2x + a: Note that -2x is always even. Therefore a must be an odd integer.

-ax^2: x^2 is nonnegative, so -x^2 is non-positive; setting makes the expression nonnegative.

3x + a: 3x is already divisible by 3, so a must also be divisible by 3.