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3 years ago

What is the constant of proportionality in y=5x

Mathematics

1 answer:

-BARSIC- [3]3 years ago

8 0

Answer:

Step-by-step explanation:

General equation of direct variation:

y = kx,

where k is the constant of proportionality.

In your case, you have

y = 5x, so 5 is the constant of proportionality.

You might be interested in

Which point is an x-intercept of the quadratic function f(x)=(x-4)(x+2)

Mademuasel [1]

Answer:

x = - 2 or x = 4

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

The x- intercepts are at x = - 2, x = 4

3 0

3 years ago

Solve the system of linear equations using multiplication.

Anna71 [15]

Answer:

$(8,-1)$

Step-by-step explanation:

The given system is:

$3x+3y=21$

$6x+12y=36$

Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

$x+y=7$

$x+2y=6$

We could solve the first equation for $x$ and replace the second $x$ with that.

Let's do that.

$x+y=7$

Subtract $y$ on both sides:

$x=7-y$

So we are replacing the second $x$ in the second equation with $(7-y)$ which gives us:

$(7-y)+2y=6$

$7-y+2y=6$

$7+y=6$

$y=6-7$

$y=-1$

Now recall the first equation we arranged so that $x$ was the subject. I'm referring to $x=7-y$ .

We can now find $x$ given that $y=-1$ using the equation $x=7-y$ .

Let's do that.

$x=7-y$ with $y=-1$ :

$x=7-(-1)$

$x=7+1$

$x=8$

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

$3x+3y=21$ with $(x,y)=(8,-1)$ :

$3(8)+3(-1)=21$

$24+(-3)=21$

$21=21$ is a true equation so the "solution" looks promising still.

$6x+12y=36$ with $(x,y)=(8,-1)$ :

$6(8)+12(-1)=36$

$48+(-12)=36$

$36=36$ is also true so the solution has been verified since both equations render true for that point.

5 0

3 years ago

Read 2 more answers

What is the slope of the line through the points (6,-8)And (3,- 4)

Nina [5.8K]

Answer:

y=(-4/3)x

Step-by-step explanation:

you put the points into this equation to find the slope

(y2-y1)/(x2-x1)

now lets label the points

(6,-8)

x1=6 and y1=-8

(3,-4)

x2=3 and y2=-4

Input into equation

(-4-(-8))/(3-6)=

(-4+8)/(3-6)

4/-3

7 0

3 years ago

Hats Off

Zinaida [17]

Answer:

So they have a 24 dollar design fee, and 2 dollars per hat. You have to calculate the cost of 4 hats that are 2 dollars each, plus the design fee of 24 dollars

Step-by-step explanation:

8 0

3 years ago

In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Deter

anygoal [31]

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

$x_1 = 2009;\ y_1 = 10,002$

$x_2 = 2013;\ y_2 = 17,884$

The rate of change is calculate as follows;

$m = \frac{y_1 - y_2}{x_1 - x_2}$

$m = \frac{10002 - 17884}{2009 - 2013}$

$m = \frac{-7882}{-4}$

$m = 1970.5$

Hence, the average rate of change is 1970.5 thousand

6 0

4 years ago