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worty [1.4K]
2 years ago
10

Tina was observing the changing heights of a ball as it bounced over time. She graphed the function on this coordinate grid to s

how f(x), the height of the dropped ball, in feet, after its xth bounce.
Part A: What does the value of f(3) represent in the given context?

A.
After 4 bounces the height of the ball is 3 feet.

B.
After 3 bounces the height of the ball is 4 feet.

C.
After 4 bounces the height of the ball is 4 feet.

D.
After 3 bounces the height of the ball is 3 feet.


Part B: Tina said that a possible range for the given function is y > 0. Based on the given scenario, do you agree or disagree?

A.
I disagree; because the graph has an asymptote at y = 0, the height cannot be 0.

B.
I disagree; although the graph has an asymptote at y = 0, the ball will stop bouncing and have a height of 0.

C.
I agree; although the graph has an asymptote at y = 0, the ball will stop bouncing and have a height of 0.

D.
I agree; because the graph has an asymptote at y = 0, the height cannot be 0.
Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Answer:

b then d

Step-by-step explanation:

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Find the center, vertices, and foci for the ellipse 25x^2+64y^2=1600
Ronch [10]

Answer:

Step-by-step explanation:

Answer:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                            25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                             x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                            

3.- Find a, b and c

   a² = 64             a = 8

   b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                  a² = b² + c²

-Solve for c

                  c² = a² - b²

-Substitution

                  c² = 8² - 5²

-Simplification

                 c² = 64 - 25

                 c² = 39

-Result

                 c = √13

4.- Find the center

         C = (0, 0)

5.- Find the vertices

         V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

         F1 = (-√13, 0)   F2 = (√13, 0)

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