Divide both sides by 2
|x-3|>4 and |x-3|<-4
ok so |x-3|<-4 is false, since |x|≥0 always
so we have
|x-3|>4
now assume
x-3>4 and
x-3<-4
x-3>
add 3
x>7
x-3<-4
add 3
x<-1
so
-1>x and x>7
so basically it is all numbers from -∞ to +∞ except from -1 to 7
in interval notaion
(-∞,-1)U(7,∞)
S={x|x<-1 or x>7}
Answer:
Part a) Is a growth function
Part b) The function's percent rate of change is 160%
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value or y-intercept
b is the base of the exponential function
If b> 1---> we have a growth function
if b< 1---> is a decay function
r is the percent rate of change
b=(1+r)
In this problem we have
The value of b >1
so
Is a growth function
Find the value of r
convert to percentage
It means that when both sides of an equation have the same number subtracted from them the remaining expressions are equal. ( ......Hope that I helped you...... )
Well the answer of 5+4 is nine so a double fact is not possible you have to a have a triple fact 3++3+3 equals 9 which is the sum of
Answer:
4/27
Step-by-step explanation:
The laws of exponent are used for the simplification of expressions with exponential powers. Considering the given expression, the applicable laws of exponents are
a^-x = (1/a)^x
and
a^(x/b) = b√a^x
Hence
9-3/2 · 82/3
= (1/9)^3/2 . 8^2/3
= √(1/9)³ . ∛8²
= (1/3)³ . 2²
= 1/27 . 4
= 4/27
