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galina1969 [7]
1 year ago
11

Help me please I need to get this right to complete

Mathematics
1 answer:
Anton [14]1 year ago
8 0

Answer:

[-6, 8]

Step-by-step explanation:

Domain: set of all possible <u>input</u> values (x-values)

Range: set of all possible <u>output</u> values (y-values)

The <u>closed circles</u> on the <u>endpoints</u> of the curve mean that those points are <u>included</u> in the interval.

From inspection of the graph, the smallest y-value is -6 and greatest y-value is 8.  

To express this in <u>interval notation</u> write the beginning and ending numbers of the interval inside <u>square brackets</u> as the end values are <u>included</u>.  

(If the circles were open, and therefore the end values should not be included, use curved brackets).

Therefore the range of the given graph is:  [-6, 8]

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Answer:

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2 years ago
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If you add 21 to my number and then multiply the result by 3, you will get 84 more than two-thirds of my number. Find my number.
Ksivusya [100]

Based on the calculations, the unknown number is equal to \frac{-45}{7}

  • Let the unknown number be x.

<h3>How to find an unknown number:</h3>

Translate the word problem into an algebraic expression, we have;

Adding 21 to the unknown number:

21 +x

Multiplying the result by 3:

3\times (21+x)

84 more than two-thirds of the unknown number:

\frac{2x}{3} +84

Equating the equations, we have:

3\times (21+x) = \frac{2x}{3} +84\\\\43+3x=\frac{2x}{3} +84

Cross-multiplying, we have:

43+3x=\frac{2x}{3} +84\\\\129+9x=2x+84\\\\9x-2x=84-129\\\\7x=-45\\\\x=\frac{-45}{7}

Read more on word problems here: brainly.com/question/13170908

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2 years ago
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