Answer:
1
Step-by-step explanation:
Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.
The average value of a function f(x) over an interval [a, b] is
f(b) - f(a)
ave. val. = ---------------
b - a
which in this particular case is
19 - 30
ave. val. = ----------------- = -11/11 = 1
6 - (-5)
The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.
We have on the top of the figure one semircle, on the bottom of the figure another semicircle, to the left of the figure a line segment, and to the right of the figure another line segment, then we have a total of two semicircles and two line segments.
Answer: Fourth option: two semicircles and two line segments
Answer:
2 * 21
3 * 14
6 * 7
Step-by-step explanation:
7 * 2 = 14
56 - 14 = 42
Multiples of 42 = 2,3,6,7, 14, 21
Answer:
Step-by-step explanation:
1) Three points are not in the same plane if and only if exactly one line passes through them.
It is biconditional and false because more than one plane can pass through three points
2)Exactly one line passes through three points if the points are in an infinite number of planes.
It is biconditional and true because three points on same line will be in more than one plane and if they are not in the same plane then connect them and it will form a triangle which is in only one plane
3). an infinite number of planes pass through the same three points if and only if the points are not on the same line.
It is biconditional and false because more than one plane passes through them So, infinite no. of planes passes through them
4). three points on the same line if and only if exactly one plane passes through them.
It is biconditional and false because more than one plane passes through them So, infinite no. of planes passes through them
