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worty [1.4K]
3 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]3 years ago
5 0

Answer:

b then d

Step-by-step explanation:

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Answer:

a = p * q

b = p * s + q * r

c = r * s

Step-by-step explanation:

In the trinomial ax² + bx + c

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b is the coefficient of x

c is the numerical term

∵ The trinomial is ax² + bx + c

∵ Its factors are (px + r) and (qx + s)

∴ ax² + bx + c = (px + r)(qx + s)

∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)

∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs

∴ ax² + bx + c = pqx² + (ps + qr)x + rs

→ By comparing the two sides

∵ ax² = pqx² ⇒ divide both sides by x²

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