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jek_recluse [69]
3 years ago
11

ALGEBRAIC EXPRESSION Jeremy had $103 but he is spending $10 per week

Mathematics
1 answer:
Pie3 years ago
5 0
103 ÷ 10 = x
x = how many weeks until all his money is gone? (besides the $3 at the end)
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What is the range of the function graphed below?
aleksandrvk [35]

Answer:       B.     [–4, 0)  ∪  [2, ∞)

To find the range, find out what y-values are possible for the function in the graph.

<h2>Symbols</h2>

We need to pay attention to what symbols to use.

<h3>Reading the diagram</h3>

Solid circle

  • The function touches the point.

Empty circle

  • The function gets close, but does not touch the point.

Arrow

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<h3>Writing range in set notation</h3>

Square brackets: [ and ]

  • These show that the function touches the point.

Curved brackets: ( and )

  • These show that the function gets close but does not touch the point.
  • Infinity always uses a curved bracket.

Union of sets: ∪

  • This symbol shows that sets of values are talking about the same thing. It's almost like the word 'and'.

<h2>Finding the range of the graphed function</h2><h3>Lower blue line</h3>

Let's start by looking for the lowest possible y-value at the bottom of the diagram. On the graph, the point (4, –4) marked with a solid circle.

The function touches the point and stops. Since the y-value is –4, the lowest possible y-value is:     -4

If we follow the blue line upwards, we find an empty circle at (0, 0). The y-value in (0, 0) is 0. This means that the function gets close, but does not include:     0

So, the first part of our range is:

  • [–4, 0)

<h3>Upper blue line</h3>

The blue line on the top starts where y = 2 at a solid circle. So, the function includes the y-value:    2

If we follow this blue line upwards, it ends with an arrow. This means it will keep going to infinity, which is the symbol:    \infty

So, the second part of our range is:

  • [2, ∞)

<h2>Putting it together</h2>

Put the lower and upper blue lines together with the union of sets symbol. The range is expressed as:    [–4, 0)  ∪  [2, ∞)

Learn more about domain and range here:

brainly.com/question/20349151

4 0
1 year ago
Melissa is helping her dad build a walkway in their backyard. The walkway will be 54 feet long and 1.5 by 1.5 feet wide. The loc
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54 dived by 1.5 is 36.

36 dived by 12 is 3.

You need 3 boxes.

6 0
3 years ago
The two lines graphed below are not parallel. How many solutions are there to
Galina-37 [17]

Answer:B

Step-by-step explanation:

simple, there is one point of intersection or where the lines meet

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A number with the same value as 32
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32*10=320 Hope you like and rate
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6 / 2 = 3
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Yes, 2/7 and 6/21 are equivalent ratios.  The second number is simply the first number tripled.  
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