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:
Given that:
Distance traveled by seal to catch the fish = 15 below sea level
Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.
To find:
The expression to represent the position of the sea lion in the sea.
Solution:
If the distance traveled by seal is represented by 
then as per the question statement:
Twice of = 
6 lesser than twice of = - 6
Now, putting the value of = 15
Therefore, the expression to represent the sea lion's position w.r.to sea level.
Answer:55 CJ ^2
Step-by-step explanation:
P(2oranges and 1lemon)=2/3 (orange) · 1/2 (lemon)
P(2O and 1L) = 2/6 = 1/3
1/3 chance of getting 2 orange and 1 lemon out of the bag.
I have a simple but slightly time consuming way of doing this. Find 30% of 100 double it and then find 30% of 25, add the two together... In this case 60 + 7.5. After you do that subtract that number from 225. So subtract 67.5 from 225 and there is your answer. Your answer is 157.5
