Solve. if there are x teams in a sports league and all the teams play each other twice, a total of n(x) gamers are played, where n(x)=x^2-x. a soccer league has 10 teams, each of which plays the others twice. if the league pays $46 per game for the field and officials, how much will it cost to play the entire schedule?

Step-by-step explanation:

According to the problem, x refers to teams, and represents numbers of games played.

So, if there are 10 teams, we just have to replace this value for the x and calculate the number of games. Once we have it, we multiply all games by $46, which is the cost per game.

This means that in the entire schedule there are 90 games. If each one costs $46, the whole schedule will cost:

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step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is