See attachment for the graph of the inequality -1 ≤ x ≤ 3
<h3>What is a linear inequality?</h3>
A linear inequality is an inequality that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
<h3>How to determine the correct graph?</h3>
In this question, the expression of the inequality is given as:
-1 ≤ x ≤ 3
The above means that the set of values of x is between -1 and 3 (-1 and 3 are inclusive of the values of x)
So, the possible values of x are -1, 0, 1, 2 and 3
When the graph of the inequality is plotted, the graph would have the following properties:
- x values = -1, 0, 1, 2 and 3
- Double closed circles or thick lines
Next, we plot the graph of the inequality -1 ≤ x ≤ 3
See attachment for the graph of the inequality -1 ≤ x ≤ 3
Read more about inequality at
brainly.com/question/25275758
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A rational number stops and can be turned into a fraction and doesn’t repeat while an irrational number does the opposite
The volume of the cylindrical candle that has a base area of 12.56 inches is 12.56h inches³.
<h3>Volume of of cylinder</h3>
volume of a cylinder = πr²h
where
Therefore,
volume of a cylinder = πr²h
Area of the base = πr²
Therefore,
Area of the base = 12.56 inches²
volume of the cylindrical candle = 12.56h inches³
learn more on volume here: brainly.com/question/11459769
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<h3>
Answer: 81</h3>
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Work Shown:
a = first term
a*(2/3) = (2/3)a= second term
(2/3)a*(2/3) = (4/9)a = third term
note how I multiplied each previous term by the common ratio (2/3) to get the next term
Add up the three terms
a + (2/3)a + (4/9)a = (9/9)a + (6/9)a + (4/9)a = (19/9)a
Set this equal to 171, which is what we want the first three terms to sum to, then solve for 'a'
(19/9)a = 171
a = (9/19)*171
a = 81 is the first term
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Checking the answer:
a = 81 = first term
(2/3)*a = (2/3)*81 = 54 = second term
(4/9)*a = (4/9)*81 = 36 = third term
adding up the three terms gets us
81+54+36 = 171
so we have confirmed the answer