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3 years ago

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

Mathematics

1 answer:

worty [1.4K]3 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:

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

You might be interested in

Solve the following inequality. n-16<-29

leonid [27]

Answer:

n < -13.

Step-by-step explanation:

. n - 16 < -29

Add 16 to both sides of the inequality:

n < -29 + 16

n < -13.

5 0

3 years ago

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

pogonyaev

Answer:

The small balloon bouquet uses 7 balloons and the large one uses

18 balloons.

Step-by-step explanation:

Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:

6S + 6L= 150

S+L= 25 ----> 1st equation

For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:

6S + 1L= 60

1L= 60- 6S ----> 2nd equation

We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:

S+L = 25

S+ (60-6S)= 25

-5S= 25-60

-5S= -35

S= -35/-5

S=7

Then we can find L by substitute S value to 1st or 2nd equation.

S+L=25

7+L=25

L=18

5 0

4 years ago

I need help I put 30 points for whoever helps me

artcher [175]

Answer:

$y=-x+1$

Step-by-step explanation:

Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be $\frac{-2}{2}=-1$ .

In slope-intercept form $y=mx+b$ , $m$ represents the slope of the line, $b$ represents the y-intercept, and $(x, y)$ represent the coordinates of any point the line passes through.