Answer:
<h2>The first graph in the second image is an odd function.</h2>
Step-by-step explanation:
An odd function has a graph that it's symmetric about the origin, that is, the origin is like a mirror. In other words, the graph of an odd function has a specific symmetry about the origin.
So, we have to look for those graph that has symmetrical points in opposite quadrants, I and III or II and IV.
You can observe that the first graph of the second image has this behaviour. You can see that the points are symmetrical across the origin. If you graph a line defined as y=-x, you will observe that such line acts like a mirror.
Therefore, the odd function is the first graph in the second image.
Answer:
The results don't make sense
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
"x" is the number of children's tickets
"y" is the number of adult tickets
Thus:
8 * x + 8.75 * y = 259
x + y = 35 => x = 35 - y
replacing we have:
8 * (35 - y) + 8.75 * y = 259
280 - 8 * y + 8.75 * y = 259
- 8 * y + 8.75 * y = 259 - 280
0.75 * y = -21
y = -21 / 0.75
y = -28
Thus:
x = 35 - (-28) = 63
With these results we notice that the problem has inconsistency, since the value of the tickets cannot be given a negative number, I recommend reviewing the problem, since the approach is correct.
Answer:
Only 7 people can play and 1 card will remain
Step-by-step explanation:
This is just another way of asking "what is the volume of a sphere of 6cm"
The volume of a sphere is

The R is 3cm in this problem since the diameter is twice the radius. For a 3cm radius sphere this is 113.1cm^3