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3 years ago

Solve the inequality. Graph the solution

Mathematics

2 answers:

I am Lyosha [343]3 years ago

6 0

Answer: t≥−12

Step-by-step explanation: 4≥−t/3

4≥−1/3t

(3/−1)(−1/3t)≤(3/−1)(4)

t≥−12

Evgen [1.6K]3 years ago

3 0

Answer:

Step-by-step explanation:

4 ≥ -t/3 Original Equation

4 <em>(3</em>) ≥ -t/3 <em>(3) </em>Cancel out the division

12 ≥ -t

12 <em>(-1)</em> ≥ -t<em> (-1) </em>Canceling Negative on the variable, Flipping over Inequality Sign

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The equation of the trend line is ŷ = 0.15x - 23.21

<h3>How to determine the average rate of change of the trend line?</h3>

The points are given as:

hr =>808, 768, 655, 684, 637, 619, 613, 609, 563

w => 93, 94, 66, 81, 86, 75, 61, 69, 55.

Using a graphing calculator, we have the following calculation summary:

Sum of X = 5956
Sum of Y = 680
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Mean Y = 75.5556
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The regression equation is represented as:

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Where:

b = SP/SSX

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a = MY - bMX

a = 75.56 - (0.15*661.78)

a = -23.20961

This gives

ŷ = 0.14924X - 23.20961

Approximate

ŷ = 0.15x - 23.21

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2 years ago

The solution set to 6 + 2n > 12 is n > 3. Which are the correct representations of this solution? Select two options.

Alina [70]

The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation::

6 + 2n > 12

Subtracting 6 from both sides:

6 + 2n - 6 > 12 - 6

2n > 6

Dividing by 2:

n > 3

The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

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3 years ago

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Fittoniya [83]

Answer:

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Step-by-step explanation:

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