Which equation would have the restriction x ≠−3 on the solution?
1 answer:
Answer:
An example can be:
Step-by-step explanation:
Which equation would have the restriction x ≠−3 on the solution?
The restriction is usually applied when the function is undefined at that point, in this case x=3.
This can happen when the denominator of a fraction became 0 at x=3. This would turn the function undefined.
An example can be:
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Answer:
Mean:
Step-by-step explanation:
Given
See attachment for data
Solving (a): The mean
Mean is calculated as:
From the attached:
So, the mean is:
Solving (b): The median
; this is an even number. So, the median is:
This implies that the median is the average of the 7th and 8th item.
Next, is to order the data (in ascending order): <em>36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.</em>
The 7th and 8th items are: 40.2 and 40.2
The median is:
Solving (c): The mode
43.4 has the highest number of occurrence.
So:
Answer: The required co-ordinates of point C are (9, -3.5).
Step-by-step explanation: We are given the points A(3, -5) and B(19, -1).
We are to find the co-ordinates of point C that sit 3/8 of the way along AB, where the point P is close to A than to B.
According to the given information, we have
So, point C divides the line segment AB in the ratio 3 : 5.
We know that
if a point Q divides a line segment joining the points S(a,b) and T(c,d), in the ratio m : n, then the co-ordinates of Q are
Therefore, the co-ordinates of point C are
Thus, the required co-ordinates of point C are (9, -3.5).