1 1/2 I think is the answer
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:
Draw a line directly through the center of the circle. That is the diameter.
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer: Length = 642 cm
Concept:
Here, we need to know the idea of how to find the area of a rectangle.
Area (rectangle) = l × w
l = length
w = width
Solve:
<u>Given information</u>
A = 24396 cm²
w = 38 cm
<u>Given expression</u>
A = l × w
<u>Substitute values into the expression</u>
24396 = l × (38)
<u>Divide both sides by 38</u>
24396 / 38 = l × 38 / 38

Hope this helps!! :)
Please let me know if you have any questions