Write an equation that describes the function.

Mathematics

2 answers:

vlabodo [156]3 years ago

7 0

Find the slope, first:
$m = \frac{ y_{1} - y_{2} }{ x_{1} - x_{2} }$
Use any two points, for example (1,0) and (3, -2)
$m = \frac{-2 - 0}{3 - 1} = -1$
So, the slope is -1.
Then, use the formula for any given point, y and x are constants
$y - y_{1} = m(x - x_{1} )$
Use, for example, point (1, 0)
$y - 0 = (-1)(x - 1)$
$y = -x +1$
So, the equation is $y = -x +1$

Leona [35]3 years ago

5 0

From the points you get a slope of -1 using the slope in y=mx+b you get b=1 so y=-x+1

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The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 player, in rou

Aleks04 [339]

Answer:

$a_{n} = a_{1} (\frac{1}{2} )^{n - 1}$ where $a_{1} = 256$ .

The number of players compete in round 7 will be 4.

Step-by-step explanation:

The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 players, in round 2 there are 128 players, and so on.

So, the number of players is multiplied by $\frac{1}{2}$ gives the number of players in the next round.