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taurus [48]
4 years ago
15

Given the following sets.

Mathematics
2 answers:
V125BC [204]4 years ago
7 0

Answer:

A∩C is:

{0,2}

Step-by-step explanation:

We are given :

A = {0, 1, 2, 3}

C = {0, a, 2, b}

We have to find :

A∩C

A∩C= {0, 1, 2, 3} ∩ {0, a, 2, b}

      ={0,2}

(Since, intersection(∩) of two sets contains the points which are common in both the sets)

Hence, A∩C is:

{0,2}

svet-max [94.6K]4 years ago
6 0
It looks like the ∩ sign may be missing from the question. If you mean to find A∩C, called the intersection, you're looking for elements that are both in A and C.

{0, 2} qualifies.
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maria bought 7 boxes. a week later half of all her boxes were destroyed in a fire. there are now only 22 boxes left. with how ma
VashaNatasha [74]

Answer:

29

Step-by-step explanation:

x=22+7

x=29

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3 years ago
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The quotient of a number and 7 is greater than or equal to 20
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Answer:

a is greater than or equal to 140

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2 years ago
Determine if the graph is a function then state the domain and range.
nignag [31]
<h3><u>Explanation</u></h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

<u>Line</u><u> </u><u>Test</u>

  1. Draw a vertical line. Make sure that a line passes through a graph.
  2. See if a line intercepts a graph more than one point or just only one.

<u>Result</u>

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

<u>Domain</u><u> </u><u>and</u><u> </u><u>Range</u>

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

<u>Determine</u><u> </u><u>Domain</u><u> </u><u>from</u><u> </u><u>Graph</u>

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

<u>Determine</u><u> </u><u>Range</u><u> </u><u>from</u><u> </u><u>Graph</u>

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3><u>Answer</u></h3>

<u>\begin{cases} x \in  \mathbb{R} \\ y \geqslant 0 \end{cases}</u>

<u>Domain</u><u> </u><u>is</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>all</u><u> </u><u>real</u><u> </u><u>numbers</u><u>.</u>

<u>Range</u><u> </u><u>is</u><u> </u><u>greater</u><u> </u><u>or</u><u> </u><u>equal</u><u> </u><u>to</u><u> </u><u>0</u><u>.</u>

8 0
3 years ago
If a right triangle has a hypotenuse of length 20 units and one leg of length 16 units, find the length of the other leg. A. 12
xxTIMURxx [149]

Answer:

12

Step-by-step explanation:

Use the Pythagorean theorem which is a^2 + b^2 = c^2

c is hypotenuse and a and b are the legs

we need to find a^2 so

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then subtract 256 from 400

a^2 = 144

square root 144

= 12

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Answer :

4.538 radians

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