Answers:
Domain =
Range =
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Explanation:
The domain is the set of allowed x value inputs. We note that the left-most point is when x = -5, and this point has a closed or filled in endpoint, so we're including this x value in the domain.
The left piece has its other endpoint at x = -2, so the interval is part of the domain. We write that as is part of the domain's answer. The other part is . We include x = 1 but exclude x = 5 as there's a hole here.
Use the union symbol to glue the two intervals together and we end up with as the full domain.
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The range is the set of possible y values. The lowest point is when y = -4, but we exclude this endpoint since there's an open hole here. The highest point is when y = 4. The range is which we write as
Since there are no gaps in the range, we don't use any union symbols here. Any y value between -4 and 4 is possible, other than y = -4 itself.
Answer:
.
Step-by-step explanation:
Answer:
126
Step-by-step explanation:
To calculate this, we need to assume at least one white marble will be picked... so let's take it out of the bag. Then we need to pick 4 more marbles... it's just then a combination calculation.
How many marbles is there in total? 4 + 3 + 2 + 1 = 10
We do just as if we had removed one white marble from the bag... so that leaves 9 in the bag.
We have to pick 4 out of those 9.... so, it's simple combination calculation:
C(9,4) = 9! / (4! (9--4)!) = 9! / (4! 5!) = 126
Some of those grabs will have 2 white marbles... but we're assured that there are 126 ways to combine the 10 marbles so there's at least one white in the 5 picked (since we forced it in our calculations).
9514 1404 393
Answer:
- $400 at 2%
- $900 at 3%
- $3600 at 4%
Step-by-step explanation:
Let x represent the amount invested at 3%. Then (x -500) is the amount invested at 2%, and 4x is the amount invested at 4%. The total interest income is ...
0.02(x -500) + 0.03x + 0.04(4x) = 179
0.21x -10 = 179 . . . . . simplify
0.21x = 189 . . . . . . . . add 10
x = 900 . . . . . . . . . . . divide by 0.21
x -500 = 400
4x = 3600
$400 is invested at 2%; $900 is invested at 3%, $3600 is invested at 4%.
Answer: Just pay attention in your class and then you’ll understand it! Other people shouldn’t do your homework for you!