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Mnenie [13.5K]
4 years ago
15

Simplify the expression

Mathematics
1 answer:
Darina [25.2K]4 years ago
4 0
The answer is D because the radical is cubed which means you have to break down whatever is in the inside and group it into 3s and take is out. Ex. 81 can be split into 9 and 9 and further 3x3x3x3. from here you can take out 3 3s and put them on the outside and have one 3 left in the inside.
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Step-by-step explanation:

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A number line going from negative 3 to positive 5. a closed circle is at negative 1.5. everything to the left of the circle is s
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The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x

Given, a number line is moving from ₋3 to ₊5 .

Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.

When we mark the point and shade the left part of it then we can start applying the inequality expressions.

And from that we can match the applicable inequalities while observing the graph.

  • For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.
  • Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
  • the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.
  • ₋1.5 ≥ x, here the values will satisfy the graph.
  • remaining inequality expressions does not support the graph.

Therefore the only inequalities the graph represents is  x ≥ ₋1.5 and ₋1.5 ≤ x

Learn more about "Linear Inequalities" here-

brainly.com/question/371134

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