Answer:
The inequality for each quantity described is given as follows;
0 ≤ A + B + C + D + E ≤ 50
Step-by-step explanation:
The given information are;
The number of players each team can have = between 3 and 5
The maximum number of points a player can score in each round of the game = 10 points
The number of players in Elena's team = Elena + 4 = 5 players
The total number of points Elena's team earns at the end of the round is given as follows;
0 ≤ A + B + C + D + E ≤ 5 × 10
Where the variables A, B, C, D, and E are the points each of Elena and are makes such that the minimum points is 0 + 0 + 0 + 0 + 0 = 0 and the maximum point is 10 + 10 + 10 + 10 + 10 = 5 × 10 = 50, which gives;
0 ≤ A + B + C + D + E ≤ 50.
See image for naming of the sides: the medians are
ab, bc, and ac; and sides are a, b, and c
Pick one median, say, ab. The following are true:
ab < a
ab < b
->
ab + ab < a + b
ab < 0.5*(a+b) | add 0.5*c to the right hand side (does not change inequality)
ab < 0.5(a+b+c) = half perimeter
so ab < half perimeter
Same argument for bc, and ac holds.
I had this question asked before lol
Answer:
y=x^2-13x+42
Step-by-step explanation:
y=(x-6) times (x-7)
y=x^2-7x-6x+42
collect like terms
y=x^2-13x+42
There you go