This should mean that the machine will have a chance of choosing every number likely
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.
it is 12
Step-by-step explanation:
Answer:
She need 7 bags to cover the garden
Step-by-step explanation:
Diameter of circular garden = 16 feet
Radius of circular garden =
Area of circular garden =
30 sq.feet covered by no. of bags = 1
200.96 sq.feet covered by no. of bags = 
Hence She need 7 bags to cover the garden
Answer: 5
Step-by-step explanation:
The question is asking how many tenths are in one half. You need to divide one half by one tenth. To divide fractions you need to invert and multiply.
1/2 ÷ 1/10
Step 1: Invert and multiply
1/2 × 10/1 = 10/2
Step 2: Simplify
10/2 = 5
