9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.
y' = 2x -3
At x=3, the slope is ...
y' = 2(3) -3 = 3
The equation of the line through point (3, 1) with a slope of 3 is ...
y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line
y = 3x -9 +1 . . . . . eliminate parentheses, add 1
y = 3x -8
The answer is -|0.35 t -14| +14
<u>Step-by-step explanation</u>:
The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.
The list of scores from the given box-and-whisker plot are:
Lowest score: 20
Lower quartile (Q1): 30
Median: 60
Upper quartile (Q3): 80
Highest score: 100
The range = 80
<h3>How to Determine the Scores or Data Point from a Box-and-whisker Plot?</h3>There are specifically 5 values that are referred to as the five-number summary which are displayed by a typical box-and-whisker plot. As shown in the image attached below, these values include the following:
Thus, from the box-and-whisker plot that is given in this question, the five-number summary are:
Minimum value (lowest score): 20
Lower quartile value (Q1): 30
Median: 60
Upper quartile value (Q3): 80
Maximum value (highest score): 100
The range = max - min = 100 - 20
The range = 80
Learn more about the box-and-whisker plot on:
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