Answer:
B is the correct one. Second.
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:
i belive it is the 3rd on
Step-by-step explanation:
sorry if wrong
Answer:
a) 16.66%
b) 5%
Step-by-step explanation:
a)
Since the teacher assumes each of the three possibilities are equally likely, then he assumes 33.33% to each one.
In this case the probability that you traveled to school that day by car would be
50% of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%
b)
In this case, the teacher would assume
90% ride on bicycle
0% take the bus
10% travel by car
So, in this case the probability would be
50% of 10% = (0.5)(0.1) = 0.05 = 5%
Answer:
y=3/2(x)+4
Step-by-step explanation:
Because line AB is perpendicular to line BC, the slope of AB is equal to 3/2. Substituting (-2,1) into the new equation gives us "1=3/2(-2)+b" which simplifies to 1=-3+b. This means that b=4.
