Line A is parallel to line B if line A and B have the same slope and have the same or different y-intercept.
Convert the standard form equation to slope-intercept form as it will be easier to see the slope.
Solve for y.
4x + 2y = 0
2y = -4x <-- Subtract 4x from each side
y = -2x <-- Divide both sides by 2
In the slope-intercept form y = -2x, a y-intercept of 0 is implied
Now find a slope-intercept form equation that has the same slope as y = -2x
So, the answer is C y = -2x + 3.
Notice those two points on the "linear graph", the first point is at (1965 , 140) and the second point is at (1990 , 100).
the rate or average rate of change, namely the slope will then be
9x^2 - 16x + 60
Find the discriminant, b^2 - 4ac, which is the same as the value of the radicand.
(-16)^2 - 4 * 9 * 60 = -1904
Since the discriminant is negative, there will be NO real solutions, and 2 complex solutions.
Part B.
4x^2 + 8x - 5 = 0
You can tell if a quadratic is factorable if you find the discriminant and it is a perfect square. The discriminant for this quadratic is 144 so it is factorable.
(2x + 5)(2x - 1) = 0
Set each factor equal to zero.
2x + 5 = 0 2x - 1 = 0
subt 5 from both sides add 1 to both sides
2x = -5 2x = 1
divide both sides by 2 divide both sides by 2
x = -5/2 <span> </span> x = 1/2
12*9= 108
4.5*4.5= 20.25
180-20.25= 159.75
answer is D
