For the equation F(x) = ax² + bx + c we have:
- maximum value if a<0
- minimum value if a>0
F(x) = -3x² + 18x + 3 ⇒ a = -3, b = 18
a < 0 ⇒ the function has a maximum value
Quadratic function has the maximum value (or minimum) at vertex of its parabola.
The maximum value is k at x=h where: 
and k = F(h)
Therefore:
<h3>
The function has a maximum value of 30 at x = 3</h3>
The answer is never, that is, on a 2 dimensional plane. You can perform an experiment to see why it is the case. On curved surfaces though, two lines can intersect one another more than once. For instance, on the surface of planet Earth, two lines can intersect one another, both at the Earth's North Pole and South Pole.
Answer:
$2.40 for the video game and $14.8 for the DVDs
Step-by-step explanation:
1 video game = $2.40
4 DVDs = $14.8
$3.70 x 4 = $14.8
Answer:
x = - 1/6 + √-119/6, and, - 1/6 - √-119/6
Step-by-step explanation:
Using the quadratic formula which is: - b ± √b² - 4ac / 2a
a = 3, b = 1, c = 10
- 1 ± √1² -4 * 3 * 10 / 2 * 3
- 1 ± √1 - 120 / 6
-1 ± √-119 / 6
= -1/6 + √119/6, or - 1/6 - √-119/6
