Answer:
8
Step-by-step explanation:
let the number be n , then
n + 3 = n - 3 ( multiply through by 4 to clear the fraction )
n + 12 = 4n - 12 ( subtract 4n from both sides )
- 3n + 12 = - 12 ( subtract 12 from both sides )
- 3n = - 24 ( divide both sides by - 3 )
n = 8
That is the number is 8
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.
In radians this are
To find the complement of 3π/4, subtract it by π/2
To find the supplement of 3π/4, subtract it by π.
We conclude that the interval in which the function decreases is (1.5, 3]
<h3>
In which interval is the ball's height decreasing?</h3>
The ball is decreasing when the graph, reading from left to right, is going downwards.
Particularly, in this parabola that opens downwards, the graph will decrease after the vertex.
And we can see that the vertex is at x = 1.5
And we also see that the graph of the function ends at x = 3.
Then we conclude that the interval in which the function decreases is (1.5, 3]
If you want to learn more about parabolas:
brainly.com/question/4061870
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Answer:
47 rounds and Eve wins.
Step-by-step explanation:
If read right, the highest player, (player with the most tokens) has to lose 3 tokens each round, so starting off with Evelyn, 17 - 3 = 14, and the other two each have +1 added to them, so, E=14, A=17 V=16, now subtract three from A (Amelia) and don't forget that one token is always being discarded each round. So the toal number of tokens at the start was 48, (17 + 16 + 15) so right now the total tokens should be 47, which it is. now starting the second round, A gives up 3 tokens so, 17 -3, again equals 14 and each of the two other players get one token, so E=15, A=14 V=17. Now you know the general trend, so we can figure this out seeing that after each round the number of tokens decrease by one, so there will be a round till all tokens are out except one, so there will be 47 rounds and since E started with the highest number they will win.