Answer:
x squared plus two times x minus one = zero.
Step-by-step explanation:
(This is a Quadratic equation in the variable x).
Its simple (n-12) because n is the variable and since it says fewer, then that means less than, which is subtracted by the number given which would be 12. Hope this helps! XD
Answer:
see below
Step-by-step explanation:
The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.
The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.
6x^2 - 8 = 4x^2 + 7x
6x^2 - 4x^2 - 7x - 8 = 0
2x^2 - 7x - 8 = 0
discriminant = b^2 - 4ac; where a = 2, b = -7 and c = -8
d = (-7)^2 - 4(2)(-8)
d = 49 + 64
d = 113
the discriminant is greater than zero, so there are two real roots
Answer:
(y1-y2)/(x1-x2)
Step-by-step explanation:
if you have two points from the graph then you can use them to find the slope, for example:
(2,3) and (0,5)
you would take the first point and put it in a fraction (and the second point) but the x goes on the bottom and the y goes on the top:
3/2 and 5/0
Next you put them together minusing one of the equations, but make sure that the two coordinates line up (it doesn't matter which one, in the order):
3-5/2-0
Then you solve:
-2/2
-1
which means that -1 is the slope for this
(the "/" is a fraction bar, in case you didn't already know that)