A class has 17 girls and 4 boys. A teacher needs something from the front office, so selects a student at random to go. Before t
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For this case we have to;
We have that an equation in slope-intercept form is given by:
Where:
m is the slope
b is the cut point with the y axis
Also, by definition, two lines are perpendicular when the product of their slopes is -1. That is:
We have the line as data:
Then
We found:
Thus,
We must find :
We know that passes through the point
We substitute the point in the equation of :
Thus,
Then the equation in slope-intercept for the line that passes through (5,0) and is perpendicular to the line described by is:
Answer:
Answer:
a) Translate the graph of f(x) down 3 units.
b) (8,-1) is a point on the graph of g(x)
Step-by-step explanation:
The transformations that subtract a constant number of units from the functional expression f(x) are transformations that lower the graph of the function in those many units,
Therefore they correspond to a translation of the original graph down the number of units involved.
In this case, the number of units involved is "3" (due to the "-3" added to the expression for f(x). So he correct answer for the first part is: Translate the graph of f(x) down 3 units.
For the second part, one has to try each of the coordinate pairs given in the new function g(x) to see which one results in a true statement:
1) Testing (-8,-1) by checking if replacing x with the value "-8" renders "-1" for the y-value:
so this is NOT a point on the graph of g(x).
2) Testing (-1,-2) by checking if replacing x with the value "-1" renders "-2" for the y-value:
so this is NOT a point on the graph of g(x).
3) Testing (2,-1) by checking if replacing x with the value "2" renders "-1" for the y-value:
the cubic root of 2 is not a rational number, because 2 is not a perfect cube, so the expression cannot be reduced, so this is NOT a point on the graph of g(x).
4) Testing (8,-1) by checking if replacing x with the value "8" renders "-1" for the y-value:
Therefore this pair (8,-1) IS a point on the graph of g(x).