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3 years ago

Find the value of x in the image

Mathematics

1 answer:

Ber [7]3 years ago

4 0

Answer:

Step-by-step explanation:

a pentagon has a total of 540 degrees

105, 115, 110, 180-2x, 180-3x are the interior angles (subtract each from 180 because they're on lines)

540= 105+115+110+(180-2x)+(180-3x)

540=330 +(180-2x)+(180-3x)

210=360-5x

-150=-5x

50=x

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kirill [66]

$\boxed{\boxed{f(x)=6(5)^x}}$

<h2>Explanation:</h2>

An exponential function is given by the following form:

$y=ab^x \\ \\ Where: \\ \\ a \ is \ a \ constant \ and \ b \ is \ the \ base$

Here we know two points:

$(0,6) \ and \ (3,750)$

$\bullet \ (0,6) \\ \\ x=0, \ y=6 \\ \\ 6=ab^0 \\ \\ \boxed{a=6} \\ \\\ \\ \bullet \ (3,750) \\ \\ x=3, \ y=750 \\ \\ 750=6b^3 \\ \\ b^3=\frac{750}{6} \\ \\ b=\sqrt[3]{125} \\ \\ \boxed{b=5}$

Finally, our exponential function is:

$\boxed{\boxed{f(x)=6(5)^x}}$

<h2>Learn more:</h2>

Behavior of functions: brainly.com/question/12891789

#LearnWithBrainly

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3 years ago

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maw [93]

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