Answer:
C
Step-by-step explanation:
Because its right
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, + ∞ ).
Let’s designate the number of banana splits sold as x. That means the number of sundaes sold is x + 8.
Now if we put this into an equation, also keeping in mind their costs, we get:
3(x) + 2(x + 8) = 156
Now to solve for x:
3x + 2(x + 8) = 156
3x + 2x + 16 = 156
5x = 140
x = 28
That means you’ve sold 28 banana splits and 36 sundaes! :)
The answer you already have selected in the image is correct. Even eyeballing it, you can see that the smaller shape fits into the larger shape 4 times.
9514 1404 393
Answer:
90° CCW
Step-by-step explanation:
The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.
Point A' has been rotated 90° CCW about point B.
