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.
(f+g)(x)=f(x)+g(x)=3x+1+x²-6=x²+3x-5
answer is D
Answer:
Divide both sides by 2
Step-by-step explanation:
We have the equation
2(x + 14) = 40
We divide both sides by 2
2(x + 14) = 40/2
x + 14 = 20
x = 20 - 14
x = 6
Therefore, the most helpful first step for solving Ravi's equation is: Divide both sides by 2
Answer:
33/40
Step-by-step explanation:
1/5x8= 8/40
5/8x5=25/40
add them
reduce answer:
33/40
It the second one. the net for a square pyramid.
