x is powering both numbers so it can be outside the parenthesis.
We have given that 3^x.
<h3>
What is the expression?</h3>
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
The first one isn't an answer because 3^x is exponential while x^3 is a cubic function.
If you draw them you will see that they are very different.
B is correct because we can divide both numerator and denominator by 6 and we get 3^x.
C is not correct because x is not powering 3 so we cannot divide both by 6D is correct because 3^(x-1) is the same as
and when multiplied by 3 we get 3^x
3^x*3^(-1) = 3^x/3
E is not correct.
will understand after the explanation in DF is correct.
x is powering both numbers so it can be outside the parenthesis.
The question is incomplete the complete question is,
Which expressions are equivalent to the one below? Check all that apply.
3^x
A. x^3
B.(18/6)^x
C.18^x/3
D.3(3^(x-1))
E.3(3^(x+1))
F.18^x/6^x
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g(x) = 4x − 5 is a linear function (graph is a straight line), with slope 4. Knowing how to identify the slope is an essential skill.
If g(x) is represented by this table:
x f(x)
−1 −6
0 −3
1 0
and we have a reasonable expectation that this is a linear function, then we can choose any 2 points and find the slope of the line connecting them. For example, we'll find the slope connecting (-1, -6) and (1,0).
0-(-6)
It is: m = ------------ = 3
1-(-1)
So the slopes of these 2 linear functions are not the same.
The equation of g(x) is y = 3x - 3. In the table, note that when x=0, y= -3.
The y-intercept -3 of g(x) is identical to the y-intercept -3 of f(x).