Answer: (0,1)
Step-by-step explanation:
Hope this helps
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.
<span>3(7 + 4)2 − 14 ÷ 7
First do the parenthesis
7 + 4 = 11
so the question looks like: 3(11)2 - 14/7
Then multiply 3, 11, and 2 together
3 x 11 x 2 = 66
66 - 14/7
14/7 equals to 2
66 - 2
Then just simplify
66 - 2 = 64
64 is your answer
hope this helps</span>
Answer:
1/7
Step-by-step explanation:
Plug in 2 for m, and 14 for n in the expression:
m/n = 2/14
Simplify. Factor out common factors from both the numerator and denominator:
(2/14)/(2/2) = 1/7
1/7 is your answer.
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