1a) The function has arrows on both ends and no place in the middle where it is not defined. Its domain is ...
All Reals
1b) The function gives no output values below -3, but it gives output values of -3 and all above that. Its range is ...
y ≥ -3
1c) For values of x less than -1, the function's output is 1. This matches g(x) and s(x). At x=0, the function's output is -3, which only matches g(x). The appropriate choice is ...
g(x)
2b) The function is only defined for 0 ≤ x < 8. This is its domain.
3) A definition might be ...
Answer:
109.2-23.6 = 85.6
Step-by-step explanation:
use bodmas
B=bracket
O=of or multiplication
D=division
M=multiplication
A=addition
S=subtraction
so when you are opening a bracket you multipli the number in the bracket with the one outside the bracket
I.E
4×27.3=109.3
4×5.9=23.6
109-23.6=85.6
Answer:
a) Suppose that F is ordered in ascending order: 
. Then, the complement of F can be written as
which is the union of a finite number of open intervals, then 
is an open set. Thus, F is a closed subset of the real numbers.
b) Take an arbitrary element of F, let us say 
. Now, choose a real number 
such that
there are not other element of F, because is less that the minimum distance between and its neighbors.
In case that 
we only consider 
, and if 
we only consider 
.
Then, all points of F are isolated.
Step-by-step explanation:
Answer:
Mrs. Barnes washed more.
Step-by-step explanation:
This is tricky because we are given the interest rate for the year but the problem is figureing the interest for 6 months or 1/2 year. We will have to double the difference before solving for the yearly interest.
572.60 - 560.00 = 12.60 interest added for 6 months x 2 = 25.20 for 12 months
(This problem assumes the interest will stay the same the next 6 months)
We need to find what percent 25.20 is to our original balance.
25.20/560 = x / 100
2520 = 560x
x = 4.5 percent interest
Check .045 x 560.00 = 25.20 interest in one year (or 12.60 in 6 months)
