1/4+5/4=1.5
1.5 divided by 4 = 0.5625
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:
1/6 < 1/2
Step-by-step explanation:
The larger the denominator, the smaller that fraction would be. Both of the numerators are equal, so we don't have to worry about that. Since 6 is larger than 2, we know that 1/2 is larger than 1/6. hope I helped:))
If Lee starts with 100 pennies and adds groups of 10, the operation is addition. Since she does this 5 times, there is 5 different numbers Lee said.
100 + 10 = 110
110 + 10 = 120
120 + 10 = 130
130 + 10 = 140
140 + 10 = 150
Thus, all of the numbers she said were 110, 120, 130, 140, and 150.
Hope this helps! :)
If 20 feet cost $36 then you can divide 36 by 20 to see how much one foot would cost. The answer is $1.80. Then multiply $1.80 x 15 feet and you get $27
