<h3>
Answer: (3, -1)</h3>
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Explanation:
The midpoint formula is 
This basically says to add the corresponding coordinates and divide by 2.
The given points (2,5) and (4,-7) have x coordinates of 2 and 4. They add to 2+4 = 6, and then that result cuts in half to 6/2 = 3. The x coordinate of the midpoint is 3.
The y coordinate of the midpoint is y = -1 since adding the y coordinates of the given points leads to 5+(-7) = -2 which cuts in half to -1.
So overall the midpoint is located at (3, -1)
Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)
Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short, we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:
The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.
Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.
y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.
The graph of a function is the set of all those point which when placed on a graph represents the data in unorganised manner.
In order to describe the function of a graph the first thing that we do is to stabilize a relationship between the co-ordinate axes.
We closely observe and analyse the change of one Axis with the changes of other. After this step we make a set of all the possible points which are describing the function properly within the range and domain of the function. One Axis represents the domain and the other access represents the range.
After this we finally conclude that the function of a graph is set of all those points which represents and shows the data on a diagram in a well organized and understandable manner.
To know more about graph of function, visit,
brainly.com/question/24335034
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Answer:
B
Step-by-step explanation:
Use the given functions to set up and simplify f(-3x)
substitute x with -3x
-2 (-3x) =6x remember a - x - = +
6x +5
Answer:The answer is D.
Step-by-step explanation:
