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1 answer:
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Answer:
(D)
Step-by-step explanation:
The graph shows the arm span lengths of the students, clearly we can see that the most of the students have arm span length in the initial points of the length.
Median = Middle frequency of the data. Here, median will be the length in the middle.
Mode = Most frequently occurring number in the data. Here the mode will be the length which most of the students has.
Clearly, most of the student has the length in the initial inches while the median will be in the middle.
Hence, mode will be less than the median.
Given:
The x- intercepts of a parabola are (0,-6) and (0,4).
The parabola crosses the y- axis at -120.
Lucas said that an equation for the parabola is and that the coordinates of the vertex are (-1, -125).
To find:
Whether Lucas is correct or not.
Solution:
The x- intercepts of a parabola are (0,-6) and (0,4). It means (x+6) and (x-4) are the factors of the equation of the parabola.
...(i)
The parabola crosses the y- axis at -120. It means the equation of the parabola must be true for (0,-120).
Divide both sides by -24.
Substituting in (i), we get
So, the equation of the parabola is .
The vertex of a parabola is:
In the equation of the parabola, .
Putting in the equation of the parabola, we get
So, the vertex of the parabola is at point (-1,-125).
Therefore, Lucas is correct.