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viktelen [127]
3 years ago
15

Draw a number line and show all numbers that are 2/3 of a unit to the left of 1/2

Mathematics
1 answer:
zubka84 [21]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

Draw a number line and draw points corresponding to -1, 0, and 1.

Mark 6 equal divisions between -1 and 0. Mark 6 equal divisions between 0 and 1.

Now you have the units between 1 and 0 and between 0 and -1 divided into sixths.

Now look at the point that corresponds to 1/2. It is the middle one-sixth mark between 0 and 1. Start there. That is 3/6 which is the same as 1/2.

You need to go 2/3 of a units to the left of 1/2.

2/3 = 4/6, so starting at 1/2, go 4 one-sixth marks to the left.

Now you are 2/3 unit to the left of 1/2.

See the number line below.

                -1                              0                              1

<----+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+------>

Start with a mark on 1/2, S in bold below.

                -1                              0             1/2             1

<----+---+---+---+---+---+---+---+---+---+---+---S---+---+---+---+---+------>

Now go 2/3 unit to left. 2/3 = 4/6, so go 4 one-sixth divisions to the left.

The point labeled with a bold E is the result. It is -1/6

                -1                      -1/6   0             1/2             1

<----+---+---+---+---+---+---+---E---+---+---+---S---+---+---+---+---+------>

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A function assigns the values. The function for this model can be written as y=-4x+50.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

As it can be seen from the graph that the function is linear, therefore, we can write,

y = mx + c

Given two points of the graph, therefore, we can write for the first point,

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Also, for the second point,

y = mx + c

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Substitute the value of c,

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Learn more about Function:

brainly.com/question/5245372

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