Answer: -4.25 ≤ x ≤ 6.25
Step-by-step explanation:
The midpoint of a segment is located at the same distance of each of the endpoints of the segment.
The midpoint is at x = 1.
The length of the segment is 10.5, if we divide it by two we have:
10.5/2 = 5.25
Now, if we want the endpoints to be at the same distance of the midpoint, then the endpoints will be:
Xmax = midpoint + 5.25
Xmin = midpoint - 5.25
Then the extremes are:
Xmax = 1 + 5.25 = 6.25
Xmin = 1 - 5.25 = -4.25
Then this segment can be written as:
Xmin ≤ x ≤ Xmax
-4.25 ≤ x ≤ 6.25
Answer:
( 1.5, 0)
Step-by-step explanation:
1. Find the coordinates ; in this case (7,-2) and (-4, 2)
2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)
3. ( 7 + -4 ÷2) = 1.5 And ( -2 + 2 ÷ 2) = 0
4. Therefore, the midpoint is ( 1.5, 0 )
The median is the middle-most number. First we need to put the numbers in order from lowest to highest:
81 84 88 94 94 96
The easiest way to find the median is to cross out the first and last number and then continue until you reach the middle.
So cross out 81 and 96:
84 88 94 94 are left.
Cross out 84 and 94:
88 and 94 are left.
Since we are left with 2 different numbers, we need to find the average of them and that’s our median. (88 + 94)/2 = 91
91 is the median.
The initial membership fee before any months are considered is 35.
Substitute 0 with x because no months have been considered. Like what was previously said, y is the total cost, so:
Y=12(0)+35
12 x 0 = 0
Y=0+35
Y=35
