Answer:
D
Step-by-step explanation:
I think it is D
I Also nenes help doing thank
Answer:
a.) Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )
b.) Total amount spent by Maria = $ 74.02
Step-by-step explanation:
As given,
Cost of gasoline = $ 3.95 gallon
Cost of oil per can = $ 4.45
Also given,
Maria bought g gallons of gasoline and c cans of oil
⇒ Total cost of g gallons of gasoline = g×3.95 = $3.95g
Total cost of c cans of oil = c×4.45 = $4.45c
Now,
a.)
Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )
b.)
As given ,
Maria buy gasoline , g = 8.6 gallons
Maria buy cans of oil , c = 6
So,
Total amount spent = $ 3.95(8.6) + 4.45(9)
= $ 33.97 + 40.05 = $ 74.02
⇒Total amount spent by Maria = $ 74.02
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, + ∞ ).
Put the argument value where the variable is, then evaluate.
For f(x), you want f(2).
f(2) = 2² + 1 = 4+1 = 5
For g(x), you want g(1).
g(1) = 3·1 +1 = 4
For [f(2) - g(1)] you want the difference of the above values.
[f(2) - g(1)] = [5 - 4] = 1
