Answer:
(-∞, -6] U [-2, ∞)
Step-by-step explanation:
To solve this, begin by factoring this quadratic equation into its factored form:
x² + 8x + 12 ≥ 0 becomes (x+6)(x+2) ≥ 0.
x = -6, and x = -2 are the zeros of this parabola. Therefore:
(-∞, -6] U [-2, ∞) are the parts of the graph above y = 0 because the graph
opens upward.
** Remember, when the '≥' sign is present, the
square brackets must be used.
Answer:
y = -2x - 4
Step-by-step explanation:
So we have the x intercept and a line perpendicular to the one we are trying to find.
Perpendicular deals with the slope. Perpendicular slopes are negative reciprocals of each other, or in other words, if the slope is m the negative reciprocal is -1/m.
the slope of the perpendicular line is 1/2 so that means the negative reciprocal is -2.
x intercept is when y=0, so the point is (-2, 0). So that means the equation to make this point with the slope of -2 will look like this
y = mx + b
0 = -2*-2 + b
-4 = b
Now to get into the line we just plug in m and b into y = mx + b
y = mx + b
y = -2x - 4
And to check if you plug in -4 you'll get y = 0
Answer:
$26,000 for all 52 weeks
Step-by-step explanation:
52 x 500 is 26,000
