The discriminant of a quadratic equation is:
Plug in the values.
Since the discriminant is negative, you can tell that the quadratic has no real solutions.
Hope that helped!
~Cam943, Moderator
Answer:
A) y = 1/3x + 4
B) y = 1/2x - 9
Step-by-step explanation:
A) In order to find this, we must first solve the initial equation for y to get the slope.
-x + 3y = 6
3y = x + 6
y = 1/3x + 2
Now we know the slope to be 1/3 since parallel lines have the same slope. So we take this slope and the point and use point-slope form to find the equation.
y - y1 = m(x - x1)
y - 5 = 1/3(x - 3)
y - 5 = 1/3x - 1
y = 1/3x + 4
B) To find this line, we again have to find the slope of the initial equation by solving for y.
2x + y = -4
y = -2x - 4
Now we know our new slope to be 1/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use this and the point to solve in the same way.
y - y1 = m(x - x1)
y - - 8 = 1/2(x - 2)
y + 8 = 1/2x - 1
y = 1/2x - 9
When you graph the two functions given, the graph B) shift 1 unit to the right.
Graph the two functions, see attached pictures:
<em>~Rise Above the Ordinary</em>
There’s 14 rolls. The probability he lands on a 2 would be 2/14. Once you simplify it it would give you a probability of 1/7
