Answer: Santa's speed in still air is 6 miles per minute
Speed of the wind is 1 mile per minute
Step-by-step explanation:
Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y
It takes Santa 5 minutes to fly 35 miles with the wind.
Speed = distance / time
It means that
x + y = 35/5 = 7
It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y
Speed = distance/time. Therefore,
x - y = 35 /5 = 5 - - - - - - 1
Substituting x = 7 - y into equation 1, it becomes
7 - y - y = 5
-2y = 5 - 7 = -2
y = -2/-2 = 1
x = 7 - y = 7 - 1
x = 6
0 is the only degree that cannot work
Answer:
Option 3 (C)
Step-by-step explanation:
Given the scores of the students: 3, 4, 4, 5, 5, 6, 8, 10, 10, 12, 15, 18
To find the box plot that represents the data set, we need to find:
Min, Q1, median, Q3, and Max, which are all represented on a box plot.
Min = 3
Max = 18
Median = the average of the 6th and 7th data value = (6+8)/2 = 14/2 = 7
Q1 = the average of the 3rd and 4th data values = (4+5)/2 = 4.5
Q3 = the average of the 9th and 10th data values = (10+12)/2 = 11
The box plot that closely represented all these values is the box plot in option 3.
Answer:
A] The slope of f(x) is greater than the slope of g(x).
Step-by-step explanation:
First, you need to calculate the slope of f(x) and g(x) using the slope formula
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are points of the functions.
To calculate the slope of f(x) you can choose two points from the graph, in this case (0, -1) and (3, 1). Remember you can choose the points you want as long they are on the graph.
m = 1 - (-1) / 3 - 0
m = 1 + 1 / 3
m = 2 / 3
m = 0.66...
To calculate the slope of g(x) you can choose two points from the table, in this case (0, 2) and (5, 4).
m = 4 - 2 / 5 - 0
m = 2 / 5
m = 0.4
So the slope of f(x) is greater than the slope of g(x).
