Name the constant of proportionality for the equation below: y = -2/3 x

Mathematics

1 answer:

worty [1.4K]2 years ago

8 0

Answer:

$-\dfrac{2}{3}$

Step-by-step explanation:

When variable y is said to be proportional to another variable x, it is written as:

$y \propto x$

To introduce the equality sign, we introduce what is called the constant of proportionality, say k and write the above as:

y=kx

Comparing the given equation:

$y=-\frac{2}{3}x$

We can see that our constant of proportionality:

$k=-\dfrac{2}{3}$

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A function has y-intercept of -2 and a slope of -1. which equation below describes the function?

ozzi

The correct equation should look something like this:
y= -1x - 2

Consider the equation for a line:
y = mx + b,
Where ‘m’ is the slope
Where ‘b’ is the y-intercept.

From there you can plug in your known values for ‘m’ and ‘b’, and get the equation above. If you are still not convinced, I suggest you graph the function and observe its slope and y-intercept.

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8 0

2 years ago

What is (x+4)(3x+7)/(x+4)(x+2) simplified?

iren2701 [21]

Answer:

$\frac{3x+7}{x+2}$

Step-by-step explanation:

Given the following question:

$\frac{(x+4)(3x+7)}{(x+4)(x+2) }$

In order to simplify the expression given we can only cancel the common factor which is four.

$\frac{(x+4)(3x+7)}{(x+4)(x+2) }$
$cf=(x+4)$
$\frac{x+4}{x+4}$
$=\frac{3x+7}{x+2}$

Cannot be simplified further due to it not having any more common factors. Your answer is "3x + 7 / x + 2."

Hope this helps.