As you know, the domain is the values "x" can safely take on.
well, for a logarithmic expression, it can never have an expression of 0, namely in this case, x + 4 must never be 0, since such a logarithm doesn't exist.
now, x + 4 = 0 ---> x = -4.
thus if "x" ever becomes -4, we'd end up with log₃(-4+4), or log₃(0), which is a no dice.
so the domain is all values except -4.
When you use the Distributive Property you're really just multiplying the number on the outside by all of the numbers on the inside of the parentheses.
(8 - 3p) (-2) Multiply -2 by 8 and -3p
-2(8) + (-2)(-3p) Multiply
-16 + 6p
Answer: 5 7\8
Step-by-step explanation:
Answer:
Q1
|a-b| = b-a when a<b
Q2
104159/33000
Step-by-step explanation:
Q1
If a<b then a-b will always be negative. To get the absolute value, we can take -(a-b) = -a+b = b-a.
Q2
Let x = 3.12789789789...
We isolate the repeating decimal to start after the decimal, so we multiply by 100.
100x = 312.789789789...
We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.
100000x = 312789.789789
Subtracting the two...
x(100000-100) = 312789.789789 - 312.789789
99900x = 312477
x = 312477/99000 = 104159/33000