Answer:
<em>Option A; the tournament did begin with 128 teams</em>
Step-by-step explanation:
We can see that this equation is represented by compound interest, in other words an exponential function, either being exponential growth or exponential decay;
f ( x ) = a + ( b )^x, where a ⇒ start value, b ⇒ constant, x ⇒ ( almost always considered ) time, but in this case rounds
Option A; The equation is given to be t ( x ) = 128 * ( 1/2 )^x. Given by the above, 128 should represent the start value, hinting that the tournament <em>did indeed begin with 128 teams</em>
Option B; As the rounds increase the number of teams approach 128. Now mind you 128 is the start value, not the end value, which would mean that <em>this statement is false</em>
Option C; The tournament began with 1/2 teams. Theoretically that would not be possible, but besides that the tournament began with 128 teams, only differed by 1/2 times as much every round. <em>This statement is thus false</em>
Option D; This situation actually represents exponential decay. If each round the number of teams differed by 1/2 times as much, the number of teams remaining is less than before, and thus this models exponential decay, not growth<em> ( statement is false )</em>
<em>Answer : Option A; the tournament did begin with 128 teams</em>
Answer: (3p^2 + 1) . (p^3 +4)
Step-by-step explanation:
Area of a rectangle equals length multiplied by width. Given length as 3p^2 + 1 and width as p^3 + 4
Area = 3p^2 + 1) . (p^3 +4)
This is so as 4 is not a cube and cannot be factored.
I hope this helps.
Answer:
A.
Step-by-step explanation:
First write the picture down like so:
x(8) divided by 10.9 - 7.9 then go down the row wel 10.9 x 8 = 87.2 divide that by 10.9 and youll get 8 then subtract 8 from 7.9 and you will get 0.1
F(x) = 2^x
(The ‘^’ means ‘to the power of’)
To find this function, you first need to notice that the y values are powers of 2, and you can tell because they are doubling each time x increases: 4 × 2 = 8, 8 × 2 = 16, etc.
Once you’ve noticed that they are powers of 2, you then need to find out which powers of 2 they are. The first y value is 4 which equals 2², and the second y value is 8 which equals 2³.
This means that the power is the x value, so you end up with f(x) = 2^x
I hope this helps!
