Answer:
<, -4
Step-by-step explanation:
-8x-20<12
add 20 to both sides
-8x=32
divide both sides by -8
x=-4
Answer:
100%
Step-by-step explanation:
An exponential equation with a growth rate can be expressed as:
where r is a positive number, and represents the growth rate.
In this case since the base of the exponent equals 2, that means r=1, since 1+1=2. This means it has a growth rate of 100%, which makes sense, since the base is 2, meaning it doubles or increases by 100% every time x increases by 1.
Answer:
144 ways
Step-by-step explanation:
Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.
THey can be arranged in 4! ways, which is:
4! = 4 * 3 * 2 * 1 = 24 ways
Now, the 3 persons themselves can be arranged in 3! ways, which is:
3! = 3 * 2 * 1 = 6 ways
Total ways = 4! * 3! = 24 * 6 = 144 ways
Answer:
102
Step-by-step explanation:
2(3)³ + 3(6-2)2
2 (27) + 3(4)2
54 + 48
102