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3 years ago

F(x) = 9x + 6 g(x) = 3x + 2 find (f/g)(x)

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

Step-by-step explanation:

= (9x + 6) / (3x + 2)

= 3 (3x + 2) / 1 (3x + 2)

= 3/1

= 3

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3 years ago

Which of the following relations is a function?

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3 years ago

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2 years ago

What is an equation of the line that passes through the points (0, -4) and (-4, 6)?

olganol [36]

Answer:

The equation of the line is.

$y=-\frac{5}{2}x-4$

Step-by-step explanation:

Given:

The given points are (0, -4) and (-4, 6)

The equation of the line passing through the points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is.

$\frac{x-x_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{y_{2}-y_{1}}$

Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is

$\frac{x-0}{(-4)-0}=\frac{y-(-4)}{6-(-4)}$

$\frac{x}{-4}=\frac{y+4}{6+4}$

$-\frac{x}{4}=\frac{y+4}{10}$

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

$-10x=4y+16$

$4y=-10x-16$

The above equation is divided by 2 both sides.

$2y=-5x-8$

$y=-\frac{5}{2}x-4$

Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is $y=-\frac{5}{2}x-4$

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3 years ago