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mina [271]
3 years ago
7

A baseball team played 130 games in a season. If it won sixteen more games

Mathematics
1 answer:
egoroff_w [7]3 years ago
4 0

Answer:

The team has 92 wins and 38 losses.

Step-by-step explanation:

In a season 130 games are played by a baseball team.

Let us assume that the team wins x games and losses y games.

Therefore, we can write, x + y=130....... (1)

It is given that if the team won sixteen more games twice as many games as it lost.

So, we can conclude that x =2y+16 ......(2)

Hence, solving equations (1) and (2) we get, (2y+16) + y =130

⇒ 3y = 114

⇒ y =38

And from equation (2), x = 2×38 + 16 = 92

Therefore, the team has 92 wins and 38 losses. (Answer)

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sleet_krkn [62]

Answer:

a) The vertex of the graph is (h,k) = (0, 31), b) a = -16, c) The equation of the parabola is f(t) = -16\cdot t^{2}+31.

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is (h,k) = (0, 31).

b) If we know that (h,k) = (0, 31), f(t) = a\cdot (t-h)^{2} + k and (t,f(t)) = (1,15), then the value of a is:

f(t) = a\cdot (t-h)^{2} + k

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15 = a\cdot 1 + 31

a = 15-31

a = -16

c) The equation of the parabola is f(t) = -16\cdot t^{2}+31.

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