Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is

The solution is the shaded area above the solid line
so
The equation of the first inequality is

step 2
The equation of the dashed line is

The solution is the shaded area above the dashed line
so
The equation of the second inequality is

therefore
The system of inequalities could be


The Median is the middle value.
Arrange the numbers in order from smallest to largest:
Seattle: 23.78 , 32.46, 40.30, 45.79, 49.42, 55.14
Since there is an even number, the median is found by adding the 2 middle numbers and dividing by 2.
Median for Seattle: 40.30 + 45.79 = 86.09 / 2 = 43.045
Now do the same for Las Vegas:
2.33, 3.72, 3.84, 4.11, 5.62, 8.79
Median for Las Vegas: 3.84 + 4.11 = 7.95 / 2 = 3.975
Difference: 43.045 - 3.975 = 39.07
The answer is B.
Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
Answer:
12y-8
Step-by-step explanation:
If you distribute the 2 you will 12y-8
If it's just a vertical line, then it could be displayed as: x = 5.
A vertical line is not actually a function, and because of such, the entire line is just the value of the x value, as it will never have enough x value.