Answer:
The correct option is;
The ranges of f(x) and h(x) are similar and different from the ranges of g(x)
Step-by-step explanation:
Here we have the functions given as follows;
f(x) = -6/11 (11/2)ˣ
g(x) = 6/11 (11/2)⁻ˣ
h(x) = -6/11 (11/2)⁻ˣ
from the above equations, it can be seen that f(x) and h(x) are always negative while g(x) is always positive
f(x) and h(x) are symmetric about the y axis while g(x) and h(x) are symmetric about the x axis
Also h(x) is the inverse of f(x) hence the ranges of f(x) and g(x) are similar and are different from the ranges of g(x).
1/2 + 1/5(1/2) = 1/2 + 1/10 = 5/10 + 1/10 = 6/10....this leaves 4/10 (reduces to 2/5) for his children.
(2/5) / 3 = 2/5 * 1/3 = 2/15 for each child <== A
400 in each childs account.....thats (400 * 3) = 1200 ...
2/5 of what is 1200 =
2/5x = 1200
x = 1200 * 5/2
x = 6000/2
x = 3000 <== B
check...
total pay is 3000
1/2 for bills.....- 1500
1/5(-1500) = -1500/5 = -300 ....for savings
3000 - (1500 + 300) = 3000 - 1800 = 1200...remaining for the children
1200/3 = 400 ...for each child.
so ur answers are :
A. 2/15 in each childs account
B. original paycheck = $ 3000
3 x 10 to the sixth power
3 x 10 to the fifth power
7 x 10 to the fourth power
6 x 10 to the first power
I might be wrong though. If so, sorry!
