Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.
There would be 80 women.
Here's the work:
120 divided by 3 = 40
If the ratio is 3:2, there is always one less woman then men, so you subtract the 40 men in a group and you get your answer of 80
Hope I helped!! :)
1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3 = 6/3
Answer:
I pretty sure the answer is <u>A</u><u>S</u><u>A</u>, I hope it's right!
The answer to the missing word on the statement in this problem is an outlier.An outlier is a value that lies outside most of the other values in a set of data. It also means it is much smaller or larger than most of the values in a set.For example, in this given score set {24,29,2,32,88,33,26,28}. The scores 2 and 88 are outliers.
