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DENIUS [597]
3 years ago
14

A function is defined by y = 2x + 1. What is the range of the function if the domain is {0, 2, 3}?

Mathematics
1 answer:
Eva8 [605]3 years ago
7 0

9514 1404 393

Answer:

  {1, 5, 7}

Step-by-step explanation:

For x=0, y = 2·0 +1 = 1

For x=2, y = 2·2 +1 = 5

For x=3, y = 2·3 +1 = 7

The range is the list of y-values, so is {1, 5, 7}.

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Since it's a horizontal line the slope would be 0

Step-by-step explanation:

Horizontal Lines A horizontal line is a line whose equation is of the form =, where is a real number. All points that lie on the line have a -coordinate of . The slope of any horizontal line is zero, 0.

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3 years ago
Drag a drop a number into each box to create pairs of corresponding angles
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What boxes....

Step-by-step explanation:

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4 years ago
Two friends compete with each other and five other, equally good, violinists for first and second chair in an orchestra, in a bl
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Answer: 0.0476

Step-by-step explanation:

Given : Two friends and 5 other people compete with each other for first and second chair in an orchestra.

Total people in this competition= 2+5=7

By permutation , Number of ways to arrange 7 people= 7!

Also, number of ways for two friends end up as first and second chair together= 2 × 5!   [ 2 ways to arrange friends on first and second chair and 5! ways to arrange others]

I.e. Required probability = \dfrac{2\times5!}{7!}

=\dfrac{2!\times5!}{7\times6\times5!}\\\\=\dfrac{1}{7\times3}\\\\=\dfrac{1}{21}\\\\=0.0476

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4 0
4 years ago
Sets A and B are independent events and are mutually exclusive
Lynna [10]

The solutions are {P}({A} \text { and }B})=0 and P}({A} \text { or } {B})=\frac{7}{12}

Explanation:

Given that the sets A and B are independent events and are mutually exclusive events.

We need to determine the value of P(A \text { and } B) and P(A \text { or } B)

<u>The value of </u>P(A \text { and } B)<u>:</u>

Since, the sets A and B are mutually exclusive events, it is impossible for the two events to occur together.

Hence, we have,

{P}({A} \text { and }B})=0

Thus, the value of P(A \text { and } B) is 0.

<u>The value of </u>P(A \text { or } B)<u>:</u>

For mutually exclusive events, the value of P(A \text { or } B) is given by the formula,

P(A \text { or } B)=P(A)+P(B)

Substituting the values, we get,

P(A \text { or } B)=\frac{1}{4}+\frac{1}{3}

P}({A} \text { or } {B})=\frac{7}{12}

Hence, the value of P(A \text { or } B) is \frac{7}{12}

Thus, the solutions are {P}({A} \text { and }B})=0 and P}({A} \text { or } {B})=\frac{7}{12}

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