To simplify the function, we need to know some basic identities involving exponents.
1. b^(ax)=(b^x)^a=(b^a)^x
2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)
Now simplify f(x), where
f(x)=(1/3)*(81)^(3*x/4)
=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]
=(1/3)(3^(4*3*x/4) [ rule 1 above ]
=(1/3) (3^(3*x)
=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]
(A) Initial value is the value of the function when x=0, i.e.
initial value
= f(0)
=(1/3)(3^(3x))
=(1/3)(3^(3*0))
=(1/3)(3^0)
=(1/3)(1)
=1/3
(B) the simplified base base is 3 (or 27 if the other form is used)
(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).
(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).
Answer: a= -18/2
Step-by-step explanation:
2a + 2x3 = -12
2a + 6 = -12
2a + 6 - 6 = -12 - 6 ( subtract 6 from both sides)
2a = -18 (Divide 2 by both sides)
a= -18/2
The answer to the question is -x-7
Answer:
1 inch to 4: 12 to 28
the second one: 8 to 128
The third one: 5 to 125
The fourth one: 13 to 117
Step-by-step explanation:
if that makes sense, I hope this will help
A = 80/2 = 40
b = 100/2 = 50
d = 180 - (a+b)
d = 180 - (40+50)
d = 180 - 90
d = 90
