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Ipatiy [6.2K]
3 years ago
15

You are traveling 180 miles back to your home town for a class reunion. About 60 miles of the trip are through areas where the s

peed limit is 45 miles per hour and the rest of the trip is through areas where the speed limit is 55 miles per hour . Assuming that you can travel at the speed limits to get the reunion, how long will it take you? Round your answer to the nearest tenth
Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

Answer:

2.5hour

Step-by-step explanation:

by adding both and substracting from total miles

Something
2 years ago
can you show the work necessary
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Answer:

The reasonable domain for the scenario is option 'a';

a) [0, 7]  

Step-by-step explanation:

For the projectile motion of the object, we are given;

The speed at which the object is launched, v = 29.4 meters per second

The height of the platform from which the object is launched, h = 34.3 meter

The equation for the height of the object as a function of time 'x' is given as follows;

f(x) = -4.9·x² + 29.4·x + 34.3

The domain for the scenario, is given by the possible values of 'x' for the function, which is found as follows;

At the height from which the object is launched, x = 0, and f(x) = 34.3

At the ground level to which the object can drop, f(x) = 0

∴ f(x) = -4.9·x² + 29.4·x + 34.3 = 0

-4.9·x² + 29.4·x + 34.3 = 0

By the quadratic formula, we have;

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∴ x = -1, or 7

Given that time is a natural number, we have the reasonable domain for the scenario as the start time when the object is launched, t = 0 to the time the object reaches the ground, t = 7

Therefore, the reasonable domain for the scenario is; 0 ≤ x ≤ 7 or [0, 7].

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