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3 years ago

If g(x) = 2(x − 4), find the value of x if g(x) = 20. 32 12

Mathematics

2 answers:

nlexa [21]3 years ago

6 0

Answer:

The value of x is $14$

Step-by-step explanation:

we have

$g(x)=2(x-4)$ ------> equation A

In this problem we have

$g(x)=20$

Substitute the value of g(x) in the equation A and solve for x

$20=2(x-4)$

Divide by $2$ both sides

$20/2=2(x-4)/2$

$10=(x-4)$

Adds $4$ both sides

$10+4=(x-4)+4$

$x=14$

AleksandrR [38]3 years ago

3 0

Answer:

Step-by-step explanation:

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notka56 [123]

Answer:

$y = \frac{32}{3}$

Step-by-step explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

$\frac{y}{8} = \frac{7}{12} + \frac{3}{4}$

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

$\frac{3*3}{4*3} = \frac{9}{12}$

Now add this to the other fraction:

$\frac{9}{12} + \frac{7}{12} = \frac{16}{12}$

This can be simplified down by dividing both the numerator and denominator by 4:

$\frac{4}{3}$

Which now simplifies the original equation to:

$\frac{y}{8} = \frac{4}{3}$

Remove the y out of the fraction:

$\frac{1}{8}y = \frac{4}{3}$

Now multiply both sides by 8:

$(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8$

$y = \frac{4*8}{3}$

$y = \frac{32}{3}$

Hope this helps!

5 0

3 years ago

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In the year 2000, there were 5,000 people living in the town of Clairmont. By 2010, the population had grown to 5,600. What is t

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$sin(EDG )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{10\sqrt{3}}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{sin(EDG )=\cfrac{\sqrt{3}}{\sqrt{3^2}}\implies sin(EDG )=\cfrac{\sqrt{3}}{3}} \\\\[-0.35em] ~\dotfill$

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