A solid dot on the graph of an inequality indicates that the number is contained within the inequality, so yo should use
or
to represent that situation, whereas a white dot indicates that the number is not contained within the inequality.
Our graph is telling us that
is greater or equal than -1, and also
is less than 3. So our inequality will be:
I Have made a table for you. You start by making a table, <span>To graph with a table you simply pick numbers for </span>x<span> and solve for </span>y<span> by plugging </span>x<span> into the equation. This gives you the points to graph.</span>
Check the picture below.
a)
so the perimeter will include "part" of the circumference of the green circle, and it will include "part" of the red encircled section, plus the endpoints where the pathway ends.
the endpoints, are just 2 meters long, as you can see 2+15+2 is 19, or the radius of the "outer radius".
let's find the circumference of the green circle, and then subtract the arc of that sector that's not part of the perimeter.
and then let's get the circumference of the red encircled section, and also subtract the arc of that sector, and then we add the endpoints and that's the perimeter.
b)
we do about the same here as well, we get the full area of the red encircled area, and then subtract the sector with 135°, and then subtract the sector of the green circle that is 360° - 135°, or 225°, the part that wasn't included in the previous subtraction.
Given:
The cost y (in dollars) of renting a segway for x hours is
To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get
The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.
