Answer:
-3/2
Step-by-step explanation:
the slope of a line is expressed as ratio y/x showing how many units y changes, when x changes a certain number of units.
so, going from A to B, x changes 4 units (from -3 to +1), and y changes 6 units (down, from +3 to -3). that makes the y change negative.
so, the slope is
-6/4 = -3/2
Answer:
Step-by-step explanation:
What they are asking for here is where the y-values are negative in interval format. Intervals are x things only, no y's allowed. So the interval of (-infinity, -3) indicates an x value of negative infinity to an x value of -3. The y's are negative from an x value of negative infinity to an x-value of -3, then again from an x value of almost -1 to an x value of almost positive 1. So your choice is the last one listed there.
Answer:
no
Step-by-step explanation:
The discriminant for a quadratic polynomial gives you information about the polynomial's roots.
Given
, the discriminant is given by
.
There are three possible conclusions you can draw. If
, then the quadratic has two distinct real roots. If
, then there is one repeated real root. If
, then there are two complex (non-real) roots.
Since you found
, that means that
has two distinct real roots.
