The third data table accurately represents data in the histogram.
If you draw the histogram, it looks like in the .jpeg image enclosed with this answer.
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.
Answer:
Step-by-step explanation:
10
Answer:
1 ≤ x < 7
Step-by-step explanation:
−2+3≤x−3+3<4+3 (Add 3 to all parts)
So if she bought 20 share of stock for $175 that means that she paid $8.75 for each stock so if she made $25 you add then you divide
175÷20 = $8.75
175+$25=$200 she sold them for
$200 ÷ 20= $10
