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, + ∞ ).
If it doesn't mean options as an added cost, it would be a total of $34,765.
If it means options as an added cost it would total to $35,140
85 yen are equivalent to 1 euro ⇒ answer O
Step-by-step explanation:
The given is:
- 1 dollar = 1.2 euros
- 1 dollar = 102 yen
We need to find how many yens are equivalent to 1 euro
∵ 1 dollar = 1.2 euros
∵ 1 dollar = 102 yen
- Equate the two right sides of 1 dollar
∴ 1.2 euros = 102 yen
- To find 1 euro equals how many yen divide both sides by 1.2
∵ (1.2 ÷ 1.2) euros = (102 ÷ 1.2) yen
∴ 1 euro = 85 yen
85 yen are equivalent to 1 euro
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1.89 * 10^12
1.89e +12
e is shorthand for *10^(
Answer:
?
Step-by-step explanation:
