In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:
[-1, 3).
<h3>How to write the interval of values in the graph using interval notation?</h3>
First, remember that the symbols ( and ) are used for ends that do not belong to the interval.
For example, if our interval is 1 < x < 2
1 and 2 do not belong to the solution interval, thus, the solution interval is (1, 2).
While [ and ] are used when the ends belong. For example, in:
1 ≤ x ≤ 2
The interval notation is [1, 2]
And in:
1 < x ≤ 2
(1, 2]
And so on.
On the number line, the notation is:
- Colored dot: the point belongs to the interval.
- White dot: the point does not belong to the interval.
In this case, we have a colored dot at -1 and a white dot at 3, then the interval notation for that graphed interval will be:
[-1, 3).
If you want to learn more about interval notation.
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Answer:
I think the answer is $4.92.
Step-by-step explanation:
Although the answer seems a little unreasonable, I think this is the answer:
$82 * 60% = $49.2
49.2 * 10% = $4.92
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Answer:
First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

We can factor out 3^2 = 9 from both equations:

We know from a trigonometric identity that
, meaning we can reduce the equation to:


And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.
Hope this helped you.
Answer:
- 
Step-by-step explanation:
=
( cross- multiply )
6x = 5y ( divide both sides by 6 )
x =
y
Then
← substitute x =
y into the expression
= 
= 
= 
=
× - 
= - 
Answer:
£0.50
Step-by-step explanation:
t = one cup of tea
c = one piece of cake
t + c = £1.10
2t + c = £1.70
the cost increases by £0.60 (£1.70 - £1.10) when you order one more cup of tea which means that one cup of tea costs £0.60
substitute £0.60 into t + c = £1.10
£0.60 + c = £1.10
rearrange to get c = £1.10 - £0.60 = £0.50
so one piece of cake costs £0.50