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
Answer:
fill the 5l bottle up completely
pour the contents of the 5l bottle into the 3l until completely full
this should leave you with 2 litres in the 5 l bottle
empty out the water in the 3 litre bottle and then pour in the 2 litres
fill the 5 litre up completely and you have 7 litres
Step-by-step explanation:
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.
Answer:
9
Step-by-step explanation:
There would be 9 because 7 goes into 66 9 times