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jasenka [17]
3 years ago
8

Hello, I need help with this question, please and thank you.

Mathematics
1 answer:
dangina [55]3 years ago
5 0

Step-by-step explanation:

It appears that given geometrical shape is a HEXA-DECAGON or a 16 sided polygon.

Measure of one interior angle of hexa-decagon can be given as:

\frac{(n - 2) \times 180 \degree}{n}  \\  \\  =   \frac{(16 - 2) \times 180 \degree}{16} \\  \\  =   \frac{14 \times 45 \degree}{4} \\  \\ =   \frac{7 \times 45 \degree}{2} \\  \\  = \frac{315 \degree}{2}  \\  \\  = 157.5\degree \\

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F(x)=x^3 −9x <br> What is the average rate of change of over the interval [1,6]?
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Answer:

34

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 1, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change = \frac{162-(-8)}{6-1} = \frac{170}{5} = 34

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Please answer ASAP<br><br> 5x−29&gt;−34 OR 2x+31&lt;29
elena-14-01-66 [18.8K]

Answer:

x > -1 or x < -1

Step-by-step explanation:

For the first equation, 5x-29 > -3

Step 1: Move the constant to the right and change its sign

5x-29 > -34

5x > -34+29

Step 2: Calculate the sum

5x > -34+29

5x > -5

Step 3: Divide both sides of the inequality by <em>5</em>

5x > -5

x > -1

<em><u>Answer</u></em><em><u>:</u></em> -1

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Step 1: Move constant to the right and change its sign

2x+31 < 29

2x < 29-31

Step 2: Calculate the difference

2x < 29-31

2x < -2

Step 3: Divide both sides of the inequality by 2

2x < -2

x < -1

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