Answer:
2
3
5
.................................................
-5 I think
Ignore this this is just for 20 words
Answer: f(x) = 1,024(0.50)^x
Step-by-step explanation:
Hi, to answer this question we have to apply a decreasing rate formula:
f(x)= P (1 - r) ^x
Where:
p = original number of players
r = decreasing rate (decimal form, since half of the players are eliminated the percent decrease is 50%)
x = rounds
f(x) = number of players after x rounds
Replacing with the values given:
f(x) = 1,024(1-50/100)^x
f(x) = 1,024(1-0.5)^x
f(x) = 1,024(0.5)^x
3x < -6
x < -6/3
x < -2
Therefore, the solution set is {x | x < -2}.
I believe you need to solve this using the quadratic formula!
To begin, this is what it is:
x= -b ± <span>√ b^2 - 4ac / 2a
Just plug in what you have in your problem...
2 being a, 13 being b, and -24 being c.
So we get:
x= -13 </span>± <span>√13^2 - 4(2)(-24) / 2(2)
x= -13 </span><span>± √169 - 8 (-24) / 4</span>
<span>x= -13 <span>± √169 + 192 / 4</span>
x= -13 </span>± √<span>361 / 4
The square root of 361 is 19.
So you have: -13 </span><span>± 19 / 4.
Here's where you take the equation </span>-13 <span>± 19 and put the addition and subtraction sign to use.
-13 - 19 = -32
and
-13 + 19 = 6
Now all is left to do is divide the two numbers by 4.
-32/4 = -8
and
6/4 = 3/2
x = -8, 3/2</span>
