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Inessa [10]
3 years ago
12

Domain and range, please help and explain this to me Jim, thanks!!!

Mathematics
1 answer:
SpyIntel [72]3 years ago
7 0

Answers:

Domain = {-24, -6, -4, 4, 21, 47}

Range = {24, 55, 45, 77, 3, 93}

Don't forget about the curly braces.

The domain is the set of all allowed x inputs. So we simply list all the x coordinates of the points given. That's all there is to it. The range is the list of all possible y output values, so we just list the y coordinates. Toss out any duplicate y values. Sorting each set is optional because order doesn't matter in a set.

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Step-by-step explanation:

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Please help! 20 points
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a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-
Natalka [10]

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

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In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

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Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

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b) 9.00×5 = 45.00+4.00(hat) = 49.00

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