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3 years ago

Determine the solution to f(x) = g(x) using the following system of equations: (5 points)

Mathematics

1 answer:

densk [106]3 years ago

7 0

The answer is x=4
because
f(x) = g(x)
3X-23 = -4.5x + 7
3X+4.5x = 23+7
7.5x = 30
x= 30/7.5
so X = 4

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As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from 30° to 45°. Id

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EXPLANATION

Let the height of the chimney be x.

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Romashka [77]

Answer:

$\large \boxed{ \boxed{ \tt{g(4) = - \frac{16}{3} \longrightarrow \: \: Improper \: \: Fraction \: \: }}} \\ \large \boxed{ \boxed{ \tt{g(4) = - 5 \frac{1}{3} \longrightarrow \: \: Mixed \: \: Fraction \: \: }}}$

Step-by-step explanation:

We are given the function below:

$\large{g(x) = \frac{4x}{3x - 15} }$

To find g(4), we simply substitute x = 4 in the equation.

$\large{g(4) = \frac{4(4)}{3(4) - 15} }$

Then evaluate the value and simplify in the simplest form.

$\large{g(4) = \frac{16}{12 - 15} } \\ \large{g(4) = \frac{16}{ - 3} } \\ \large{g(4) = - \frac{16}{3} }$

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