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Brrunno [24]
3 years ago
5

Represent in Interval notation

Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0

Answer:  [5, \infty)

On a keyboard, you would write [5, infinity)

The square bracket means "include this value" and a curved parenthesis means "exclude this value". We cannot include infinity as it is not a number, so we always use parenthesis with either infinity.

y \ge 5 is the same as 5 \le y which is also the same as 5 \le y < \infty which may help lead to set up the interval notation answer.

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Find the domain and range
julia-pushkina [17]

Answer:

Domain: (-∞, ∞)
Range: [-2, ∞)

Step-by-step explanation:

The domain of any parabola is (-∞, ∞)
The range of this parabola is [-2, ∞) because the vertex is at (-2, -2).

7 0
2 years ago
Please help i need it for a test, don't mind the 2 points thing
alex41 [277]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Can someone help with this ??
White raven [17]

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Kipish [7]
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3 years ago
How many multiples of 4 are there in {n; 37&lt; n &lt;1001}?
s2008m [1.1K]
Let's begin by listing the first few multiples of 4:  4, 8, 12, 16, 20, 24, 28, 32, 36, 38, 40, 44.  So, between 1 and 37 there are 9 such multiples:  {4, 8, 12, 16, 20, 24, 28, 32, 36}.  Note that 4 divided into 36 is 9.

Let's experiment by modifying the given problem a bit, for the purpose of discovering any pattern that may exist:

<span>How many multiples of 4 are there in {n; 37< n <101}?  We could list and then count them:  {40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100}; there are 16 such multiples in that particular interval.  Try subtracting 40 from 100; we get 60.  Dividing 60 by 4, we get 15, which is 1 less than 16.  So it seems that if we subtract 40 from 1000 and divide the result by 4, and then add 1, we get the number of multiples of 4 between 37 and 1001:

1000
   -40
-------
 960

Dividing this by 4, we get 240.  Adding 1, we get 241.

Finally, subtract 9 from 241:  We get 232.

There are 232 multiples of 4 between 37 and 1001.

Can you think of a more straightforward method of determining this number? </span>

5 0
3 years ago
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