To tell whether r = 2 is a solution of the inequality, substitute 2 for r and see whether the inequality produces a true or a false statement.
(2) + 4 > 8, add 2 and 4.
6 > 8, this is a false statement, because 6 is not greater than 8, so the value r = 2 is not a solution of the inequality r + 4 > 8.
Answer:
Step-by-step explanation:
The rate of change is the slope. The rate of change is the greatest for the slope with the greatest absolute value. In the graph, this is shown with the steepest inclination. That occurs from x = 4 to x = 6.
Answer:
For a quadratic of the form
, we have the quadratic formula
,
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.
So, given
, we can get that
, and
. We substitute these numbers into the quadratic formula above.
This is our final answer.
If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the
symbol (read: plus or minus) represents the two possible distinct solutions, except for zero under the radical, which gives only one solution.