The first thing we are going to do is find the area of the field. To do this we are going to use the area of a square formula:
Were
is the area in square kilometers
is one of the sides of the square
We know for our problem that the side lengths of the field are 0.9 kilometers, so
. Lets replace that value in our formula to find
:
Now, to find the population density of the filed, we are going to use the population density formula:
where
is the population density in <span>in burrows per square kilometer
</span>
is the number of burrows
is the are of the field
We know that
and
, so lets replace those values in our formula:
We can conclude that the <span>density of prairie dog burrows is approximately
2444 burrws per square kilometer.</span>
About Slope Intercept Form:
- y = mx + b
- m represents the slope
- b represents the y-intercept or AKA the starting point
ABOUT PROBLEM:
- Since -3/2 is the slope, it represents m in Slope Intercept Form
- Since -5 is the y-intercept, it represents b in Slope Intrecept Form
y = mx + b
y = -3/2x + -5 --- IN Slope Intercept Form
Hope this helps you!!! :)
Answer:
a) maximum; the parabola opens downward
b) positive; it must lie above the x-axis
c) x = 1.5
Step-by-step explanation:
The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.
The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When <em>second differences are negative</em>, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the <em>curvature</em> of the function is <em>negatve</em>, and that it <em>opens downward</em>.
__
<h3>a, b.</h3>
If the graph of the parabola opens downward, and it crosses the x-axis, it must have a <em>maximum</em> that is a <em>positive value of y</em>.
__
<h3>c.</h3>
The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:
x = (-2 +5)/2 = 3/2
The x-coordinate of the vertex is x = 1.5.
______
<em>Additional comment</em>
The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.
Answer:
6
Step-by-step explanation:
=> -x+4
<u><em>Given that x = -2</em></u>
=> -(-2)+4
=> 2+4
=> 6
