<u>Answer-</u>
<em>The statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.</em>
<u>Solution-</u>
It solely depends on b, whether the function will have one or two or zero x intercept.
This plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e V shape, with vertex translated to (-a, b), instead of origin.
1- If b is zero, the graph will have exactly one x-intercept, at x= -a
2- If b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.
3- If b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.
∴ The statement is sometimes true.
Question 7: $3945
78,900÷100×5= 3,945
or 789,00×0.05= $3,945
Question 8: I think it may be $675.46 ( but I'm not sure)
$1010 is her annual insurance premium so to find one month we need to divide $1010 by 12
$1010÷12= $84.20
also her annual real estate tax is $938 and to find one month we need to divide this by 12 as well.
$938÷12=$78.20
and in order to find out her combined monthly payment we need to add them all together
$513.12+$84.16+$78.16= $675.46
Question 9: is False
Question 10: I don't know
Hope this helps
You can express it as 24 / (8-2)
A method that always works is to find the slope of the given line, then find the negative reciprocal of that. Your result will be the slope of the perpendicular line. Using this slope and the given point, fill in the parameters of the point-slope form of the equation of a line.
For m = slope of given line and (h, k) = given point, the perpendicular line will be
y = (-1/m)(x -h) +k
Often, this equation can be simplified to another appropriate form, such as slope-intercept form (y = mx+b) or standard form (ax+by=c).
_____
The slope of a given line can be found by solving its equation for y. The slope is the coefficient of x in that solution. If the given line is characterized by two points, (x1, y1) and (x2, y2), then its slope is m = (y2-y1)/(x2-x1).
In the unusual case where the given line is vertical (x=<some constant>), the slope of the perpendicular line is zero, and the line you want becomes y=k.
