Answers:
- Domain is (-4, 3]
- Range is (-5, 5]
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Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that
. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval
then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
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The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is
. This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answ, i just need 5 pts thanks!
Step-by-step explanation:
Answer:
19. 16%
21. C
Step-by-step explanation:
19.
To solve 19, add all the 'number' in the table. You should get 75. After that, divide by 12 because that's the yellow marble and to find the percentage, divide 12 by 75. 0.16. Now multiply by 100 because 0.16 is how you write percentages in expressions and equations (Math sentence) So, the answer is 16%.
21.
The initial value is a one-time addition. The one-time addition is 10.45. The rate is 5, because it's constantly changing by 5. So, 70.45-10.45 is 60. Divide by 12 (months) and you'll get 5. So, the answer for 21 is C.
A = 2π r2 + A
The surface area<span> of a </span>cylinder<span> can be found by breaking it down into three parts: The two circles that make up the ends of the </span><span>cylinder</span>