Tennis balls are sealed in a pressurized container to maintain the rebound percentage

Mathematics

1 answer:

Darina [25.2K]4 years ago

3 0

Answer:

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

Step-by-step explanation:

Rebound percentage = 55% = 0.55

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.605 meters

Bounce 3: 0.605 * 0.55 = 0.33275 meters

Bounce 4: 0.33275 * 0.55 = 0.1830125 meters

Bounce 5: 0.1830125 * 0.55 = 0.10065688 meters

Bounce 6: 0.10065688 * 0.55 = 0.05536128 meters

Bounce 7: 0.05536128 * 0.55 = 0.0304487 meters

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

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Determine the quotient, q(x), and remainder, r(x) when

Vinvika [58]

ANSWER

Quotient:

$q(x) = 4 {x}^{2} + 3x + 2$

Remainder:

$r(x) = 3x + 1$

EXPLANATION

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and

$g(x) = 3 {x}^{2} + 3x + 4$

We want to find the remainder and quotient when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

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The remainder is

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