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Representing the given information mathematically, we have:
Let the number of candy pieces in the jar be
Since, it is given that:
John's guess of three times the number of candy pieces in the jar increased by is lower number than Keisha's guess of 250 less than twice the number of candy pieces.
Going to the John's guess, we get:
For the Keisha's guess, we have:
Therefore, according to the question, we get the inequality:
Anna did the mistake in comprehending the right side of the inequality correctly. Instead of comprehending she wrote:
(which is incorrect).
Thus, the correct inequality is:
Answer:
.
Step-by-step explanation:
The slope-intercept form equation of a slanting line is in the form , where
would be the slope of that line.
The equation of the original line is given in the slope-intercept form: . The slope of that line would thus be
.
Two slanted lines in a plane are perpendicular to one another if and only if their slopes are inverse reciprocals.
In other words, if the slope of two slanted lines are and
, those two lines would be perpendicular to one another if and only if
.
In this question, the slope of the given line is . Rearrange the equation
to find
, the slope of the line perpendicular to the given line:
.
In other words, the slope of the line perpendicular to the given line would be .
If a line of slope goes through the point
, the point-slope equation of that line would be
.
In this question, the requested line goes through the point . It was also deduced that the slope of this requested line is be
. The equation of this line in point-intercept form would be:
.
Rearrange to find the equation of this line in slope-intercept form:
.