1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2
Pull out from each group separately :
Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)
Looking for common sub-expressions :
Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)
Answer:
1.625
Step-by-step explanation:
First we need to find the mean of this data set
29+32+33+28+30+30+29+33=244
Then we divide 244 by the amount of numbers in the set
244/8=30.5
Then we need to find the deviation of each number
29 | 32 | 33 | 28 | 30 | 30 | 29 | 33
1.5 | 1.5 | 2.5 | 2.5 | 0.5 | 0.5 | 1.5 | 2.5
Then we take the mean from this set of data
1.5+1.5+2.5+2.5+0.5+0.5+1.5+2.5=13
Then divide
13/8=1.625
I hope this helps :)
Answer:
The next two terms are: 1.05 and 1.20
Step-by-step explanation:
Given
Required
Write out the next two terms
Since it is a linear sequence; first, we calculate the common difference (d)
or 
Express as decimals
or 
(in both cases)
So, we add 0.15 to 9/10, to get the next term
Add 0.15 to 1.05, to get the next term
<em>The next two terms are: 1.05 and 1.20</em>
13 and -3
13+-3=10
13x-3=-39
