The answer is 9x+8. if you distripute the 2, you get 2x-6. if you distribute the 7, you get 7x+14. then you combine like terms ans get 9x+8
You just have to plug in each thing:
So f(0):
3(0)^2 - 4 = -4
so its not A
f(-2) and f(2):
3(-2)^2 - 4
3(2)^2 -4
now we don't even have to calculate these, anything to the power of an even number is a positive number so -2^2 and 2^2 both equal 4
B is correct, so you can do the others if you want to check, but if B is true the others shouldn't be true.
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:
24 inches
Step-by-step explanation:
When dealing with 3-Dimensional objects such as a box, the depth of that object refers to the distance between the highest and lowest points of that object. Therefore since it the question it states that the length, width and depth is 24 inches. Then the height of the box (as well as maximum height) would be a total of 24 inches. This would be in the case that the entire box was cubed, if the box is triangular with a square base then this height would be shorter as all the points would meet in a shorter position.
