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Anna [14]
3 years ago
5

Solve the given inequality and graph the solution on a number line. -x/2+3/2<5/2

Mathematics
1 answer:
V125BC [204]3 years ago
5 0

: -x/2+3/2<5/2=x>-2

-x/2+3/2-3/2= -x/2<5/2-3/2=1

-x/2<1

-x/2/2= -x<1/2

-x can be transformed into -1/2x

-1/2x / -1/2=x

1/-1/2=-2

<span>x>-2</span>

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The value of the correlation is -0.0721 and it is a weak negative correlation

<h3>How to determine the correlation coefficient?</h3>

The points are given as:

(12, 28), (15, 50), (18, 14), (21, 28), (24, 36)

Enter the above points in a graphing calculator.

From the graphing calculator, we have the following summary:

<u>X Values</u>

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  • Mean = 31.2
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<u>R Calculation</u>

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

This gives

r = -18 / √((90)(692.8)) = -0.0721

So, the correlation coefficient is -0.0721

The above is a negative correlation because it is less than 0 and it is a weak correlation because it is closer to 0 than -1

Hence, the correlation is a weak negative correlation

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2 years ago
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As:

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The function is given as:

g(x) = |x - 7| +6

The above function is an absolute function, and the parent function is f(x) = |x|

Hence, the parent function of g(x) = |x - 7| +6 is f(x) = |x|

<h3>The reflection</h3>

When f(x) is reflected across the x-axis, we have:

f'(x) = -|x|

When f(x) is reflected across the y-axis, we have:

f'(x) = |x|

<h3>Stretching and Compression</h3>

When f(x) is stretched horizontally by a factor k

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When f(x) is stretched vertically by a factor k

g'(x) = k|x|

<h3>Horizontal Shift</h3>

When f(x) is shifted horizontally by k units

f'(x) = |x ± k|

<h3>Vertical Shift</h3>

When f(x) is shifted vertical by k units

f'(x) = |x| ± k

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Step-by-step explanation:

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