Answer:
9(p + q)(9p + 9q - 1)
Step-by-step explanation:
Given
81(p + q)² - 9p - 9q ← factor out - 9 from these 2 terms
= 81(p + q)² - 9(p + q) ← factor out 9(p + q) from each term
= 9(p + q)(9(p + q) - 1)
= 9(p + q)(9p + 9q - 1)
Answer: 1/7
Explanation:
1. Use the formula, y2-y1/x2-x1
Plug in the points, (12, -8) and (-9, -11) into the formula.
Point (12, -8): 12 is the X1 and -8 is the y1.
Point (-9, -11): -9 is the X2 and -11 is the y2
So, -11--8/-9-12
2. -11--8/-9-12= -3/-21= 1/7
I hope this helps!!
Answer:
I don't really know if this is a trick question or not but, is 6363 minutes the answer?
Step-by-step explanation:
Answer:
Step-by-step explanation:
The total number of sums (not distinct) is 
, because we're removing without replacement.
Count the sums that fit the stipulation (sum 
5):
There are 8 sums that work. Therefore, the desired answer is 
<u>Given</u>:
Given that the data are represented by the box plot.
We need to determine the range and interquartile range.
<u>Range:</u>
The range of the data is the difference between the highest and the lowest value in the given set of data.
From the box plot, the highest value is 30 and the lowest value is 15.
Thus, the range of the data is given by
Range = Highest value - Lowest value
Range = 30 - 15 = 15
Thus, the range of the data is 15.
<u>Interquartile range:</u>
The interquartile range is the difference between the ends of the box in the box plot.
Thus, the interquartile range is given by
Interquartile range = 27 - 18 = 9
Thus, the interquartile range is 9.
