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Luba_88 [7]
3 years ago
13

Choose the solution set represented by the following graph.

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

{x | x∈ R, x < -2}

Step-by-step explanation:

Given

See attachment for graph

Required

Determine the inequality

From the attachment, we can see that there is an open circle or -2.

This represents either < or >

<u>Solving further:</u>

The arrow points to the left of -2.

This means that the number line represents numbers less than -2. i.e. < -2

If the numbers are represented with x.

The inequality is: x < -2

So, we have:  {x | x∈ R, x < -2}

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Step-by-step explanation:

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License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is
Helga [31]

Answer:

26^3\times10^2 = 1757600

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Step-by-step explanation:

We have 5 spaces in the license plate:

_ _ _ _ _

we have 26 available letters, and 10 available numbers.

starting with letters:

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26 _ _ _ _

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26 26 _ _ _

  • how many choices do i have to place the 3rd letter? 26

26 26 26 _ _

we've used all the places for letters, (note: the exact position of the letters doesn't matter here, the first letter could've been placed anywhere in _ _ _ _ _, but the amount of possible choices for letters would always be 26).

let's move on to numbers.

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26 26 26 10 _

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26 26 26 10 10

we've completed our number plate. Next we'll simply multiply all these numbers to get all the possible arrangements in which numbers and letters can be displayed on a license place.

26^3\times10^2 = 1757600

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