<span>x-intercept is when y = 0
0 = -1/2x - 2
1/2x = -2
x = -4
x-intercept = (-4,0)
y-intercept is when x = 0
y = -1/2(0) - 2
y = -2
y-intercept = (0, -2)
(note that in the form y = mx+b, b is the y-intercept, so in y = -1/2x - 2, -2 is the y-intercept)
Now to graph, simply plot these two points (-4, 0) and (0, -2) and draw a line between them.
Best of luck!</span>
Answer:
The standard form of the equation of the circle is
.
Step-by-step explanation:
A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form is
where <em>r</em> is the radius of the circle, and <em>h</em>, <em>k</em> are the coordinates of its center.
When the center of the circle coincides with the origin
, so

We are also told that the circle contains the point (0, 1), so we will use that information to find the radius <em>r</em>.

Therefore, the standard form of the equation of the circle is
.
Answer:
1245
Step-by-step explanation:
-Given the standard deviation is $9000 and the margin of error is $500.
-the minimum sample size at a 95% confidence level can be calculated using the formula:

Hence, the minimum sample size is 1245
*Since there's no data fromw which we are drawing our variables, we can manually input our parameters in excel and calculate as attached.