Answer:
Step-by-step explanation:
∩
is asking for the intersection of sets
and
, or simply, which numbers can be found in both sets.
The numbers shared between the two sets are .
Next, we need to union this result with the set , or simply, combine the numbers in both sets together.
This would result in
Answer:
D. x = 0.5
Step-by-step explanation:
A graphing calculator is the quickest way to get to an answer here.
f(x) = g(x) for x = 0.5
__
We can find the y-intercepts of the two functions to be ...
f(0) = -3
g(0) = -2
We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)
Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:
x = 0.5
The radius of cone is 2 inches
<em><u>Solution:</u></em>
<em><u>The volume of cone is given by formula:</u></em>
Where,
"V" is the volume of cone
"r" and "h" are the radius and height of cone respectively
Given that, volume of a cone is 16 pi cubic inches
Its height is 12 inches
Therefore, we get,
V = cubic inches
h = 12 inches
r = ?
<em><u>Substituting the values in formula, we get</u></em>
Since, radius cannot be negative, ignore r = -2
Thus radius of cone is 2 inches