Answer:
A
Step-by-step explanation:
Hello, please consider the following.
So the correct answer is the first one A.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
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, + ∞ ).
10 + 8 + 0.6 + 0.04 = 18.64
Answer:
x = 50.60 cm
Step-by-step explanation:
Given triangles ΔMAB and ΔMNP are smilar accordingly their corresponding sides are proportional.
But first we will determine the size of the side MA:
MA = MN - AN = 46.2 - 14 = 32.2 cm
Now we will make proportion:
MN : MA = MP : MB => 46.2 : 32.2 = 72.6 : x
When we multiply external and internal members we get:
46.2 x = 72.6 · 32.2 => x = 72.6 · 32.2 / 46.2 = 2337.72 / 46.2 = 50.60 cm
x = 50.60 cm
God with you!!!
Answer:
24
Step-by-step explanation:
because 120 divided by 5 is 24
