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sasho [114]
3 years ago
6

Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope

over each part
HELP ASP

Mathematics
1 answer:
Amanda [17]3 years ago
8 0

The attached image completes the question.

Answer:

- The part (0, 12000) is constant and the slope is zero

- The part (12000, 38000) is decreasing and slope is negative 0.26.

Step-by-step explanation:

Checking the given graph, we see that

For x = 0  to x = 12,000, the values of y are unchanged. For this, we say it is constant.

The slope here is: 0.85 - 0.85 = 0

For x = 12,000  to x = 38,000, the values of y are decreasing. For this, we say it is negative.

The slope here is: 0.59 - 0.85 = -0.26.

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
oksian1 [2.3K]

Answer:

17 seconds

Step-by-step explanation:

Solution:-

The trajectory of a rocket launched is modeled by a parabolic path via a quadratic equation as follows:

                               y = -16x^2 + 266x +102

Where,

                   y: The height of the rocket from ground

                   x: The time taken since rocket launch

We are to determine the time ( x ) it takes for the rocket to hit the ground. This can be determined by setting the quantity ( y ) to zero as follows

                             y = -16x^2 + 266x +102 = 0\\\\ -16x^2 + 266x +102 = 0

solve the quadratic equation using quadratic formula as follows:

                             x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-266 +/- \sqrt{266^2 - 4*(-16)*(102)} }{2*(-16)} \\\\x = \frac{-266 +/- 278 }{-32} \\\\x = 8.3125 +/- 8.6875\\\\x = 17 , -0.375

Answer: Ignore the negative value for time " -0.375 ". Hence, the rocket hits the ground at time t = 17 seconds

6 0
3 years ago
A librarian arranged some books on the shelf using the Dewey decimal system. Choose the group of book numbers that is listed in
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3 0
3 years ago
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The measure of an angle is 8 degrees less than three times the measure another angle. If the two angles are supplementary, what
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large angle - 3x-8
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check: 133+47=180



3 0
3 years ago
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