Answer:
Step-by-step explanation:
|x|=x,if x>0
|x|=-x,if x<0
(a)
|7-9|=|-2|=-(-2)=2
(b)
|7|-9=7-9=-2
Answer:
33 inches
Step-by-step explanation:
The problem above shows a <em>"direct proportion,"</em> which means that when one quantity increases <em>(days)</em>, the other quantity increases<em> (inches of rain).</em>
Step 1: Represent the amount of rain by n.
Step 2: Setup a proportion.
=
(where 14 refers to the number of days in 2 weeks)
Step 3: Cross multiply:
15 x 31 = 14n
465 = 14n
Step 4: Find n by dividing both sides by 14.
n = 33.21
Step 5: Round off to the nearest inch.
n = 33 inches
Your sequence
-8, 16/3, -32/9, 64/27
is a geometric sequence with first term -8 and common ratio
(16/3)/(-8) = (-32/9)/(16/3) = -2/3
The general term an of a geometric sequence with first term a1 and ratio r is given by
an = a1·r^(n-1)
For your sequence, this is
an = -8·(-2/3)^(n-1)