Answer:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
<
3
+ x/2
Step-by-step explanation:
Answer:
Regression function: 
The function predicts that population will reach 14,000 in year 2068.
Step-by-step explanation:
We have to determine a function 
by applying linear regression. The data we have is 5 pair of points which relates population to year.
According to the simple regression model (one independent variable), if we minimize the error between the model (the linear function) and the points given, the parameters are:
We start calculating the average of x and y
The sample covariance can be calculated as
The variance of x can be calculated as
Now we can calculate the parameters of the regression model
The function then become:
With this linear equation we can predict when the population will reach 14,000:
Answer:
I assume that says 
, but that is the case because when we square a number, we can NEVER get a negative number. The smallest square we can get is 0. 1^2 is 1, and no real number squared gives us a negative number.
Step-by-step explanation:
First, solve for the slope. This can be found by looking at the y and x intercepts. At x = 0, y = 1.5. At x = 2, y = 0.
Slope is defined as Δy/Δx, or the change in y over the change in x. This means that in order to calculate the slope, you must find the difference between the values of y and divide it by the difference in the values of x for the two points to determine the slope between them.
(0 - 1.5)/(2-0) = (-1.5)/2 = -0.75 or -3/4
Now that you have the slope, we can write the equation in slope intercept form, y = mx + b, where m is the slope we calculated and b is the y intercept, 1.5.
y = (-3/4)x + 1.5
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