Note that -5 = x, plug in -5 for x
g(x) = x + 3
g(-5) = (-5) + 3
Simplify
g(-5) = -5 + 3
g(-5) = -2
g(-5) = -2 is your answer
~
2c+5t=43
c=(43-5t)/2
8c+3t=36 and using c found above in this equation gives you:
4(43-5t)+3t=36
172-20t+3t=36
-17t=-136
t=8, and since c=(43-5t)/2
c=1.5
So a table costs $8.00 to rent and a chair costs $1.50
No ❤️ hahaha i can’t see anything
Okay so basically an integer is just a whole number that isn’t a fraction. Comparing integers is basically comparing whole numbers. For example, comparing the numbers 2 and 34 would be 2<34 and that’s comparing them to each other! :)
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, + ∞ ).
