Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand both factors using FOIL
= + 6x² + 9 - (
- 2x² + 1) ← distribute by - 1
= + 6x² + 9 -
+ 2x² - 1 ← collect like terms
= 8x² + 8
Distance between
1 answer:
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Answer:
(a) There are outliers
(b) and
Step-by-step explanation:
Given
Solving (a): Check for outliers
This is calculated using:
--- lower bound of outlier
--- upper bound of outlier
Where
So, we have:
The lower bound of outlier becomes
The upper bound of outlier becomes
So, we have:
--- the range without outlier
Given that:
--- This represents the lowest data
--- This represents the highest data
-24 and 64 are out of range of .
Hence, there are outliers
Solving (b): The outliers
The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)
So, the outliers are:
and
True.
Since
, 
and the solutions are decreasing functions.
Since