To calculate minimum value, do -b/2a to get the x-value, and plug it in to get the y-value:
-6/8 = -3/4

So the minimum value of g(x) is -81/4
This shows that g(x) has a lesser minimum value than f(x)
Step-by-step explanation:
X = 47
you subtract 133 from 180
Answer:
y = x^2 - 4
Step-by-step explanation:
The vertex of a parabola is exactly halfway between the focus and the directrix. If the focus is at (0, -6) and the directrix is the line y = -2, then we do this to locate the vertex: Draw a vertical line through (0, -6) also crossing the line y = -2. The y value halfway between y = -6 and y = -2 is y = -4, and the vertex is thus (0, -4).
Using the vertex method, write out the equation of this parabola, starting with the general form y - k = (x-h)^2, where (h, k) is the vertex. Here h = 0 and k = -4
We get: y + 4 = (x - 0)^2, or y + 4 = x^2, or y = x^2 - 4. As a check, let x = 0; y = -4, which is the y-coordinate of the vertex.
Answer:
There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.
Step-by-step explanation:
a) What is the probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected?
The problem states that 40% of the travelers on vacation check work email. And 16% of them check both work email and use a cell phone.
So, the probability is the division of those who use both email and cellphone by those who use email.

There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.