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irina1246 [14]
3 years ago
5

A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the

hill is given by any equals 7500 - 250 D where D can be any number from 0 to 6 find the slope and intercepts of the graph of this function explain what they mean in the context of the moving car​
Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.

Step-by-step explanation:

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Sorting Quadratic Function Discriminants
nataly862011 [7]

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

  • discriminant = 0: 1 Real number solution.
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<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
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Hence, for the given values of the discriminant, we have that:

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More can be learned about quadratic functions at brainly.com/question/24737967

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1 year ago
find two consecutive integers such that ten more than twice the smaller is seven less than three times the larger
Radda [10]
This is how I would work it out:

1st no. = x+1                 2x+10=3(x+1)-7
2nd no. = x                    2x+10=3x-4
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1st no. is 15; 2nd no. is 14 

To check: 28+10=38; three times the larger is 45; and 38 is 7 less than 45.


6 0
3 years ago
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