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.Com
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) (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.
RELATED QUESTIONS
Please help me with this question.
Determine if the following statement is true:
The... (answered by jim_thompson5910,lawdej)
Would you pls help me to answer this:
3. Arianna is trying to determine if the following (answered by jim_thompson5910)
Is the converse of a true conditional statement always true?... (answered by RAY100)
For a given whole number n , the expression n+3 represents an odd whole number . Tell... (answered by solver91311,DrBeeee)
for a given even whole number n, the expression n-2 represents and even whole number... (answered by richard1234)
Tell wether the following statement is always,sometimes,or never true. For a given whole... (answered by Edwin McCravy)
Which statement about the function ƒ(x) = 1/2x is always true?
A. The value of y is... (answered by MathLover1)
A student in your class says that a rhombus is regular because all the sides are... (answered by Edwin McCravy)