All categories

3 years ago

What is the constant of variation for this relationship?

Mathematics

2 answers:

____ [38]3 years ago

4 0

The constant is -12. I think of constant as the "lonely little number".... Hope this helped =)

densk [106]3 years ago

3 0

-12 that is the right answer

You might be interested in

Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4

kvasek [131]

Answer:

The correct answer is:

$4 x -3 y = 16$ and

$8 x -6 y = 34$ are the equations that have no solution.

Step-by-step explanation:

First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.

Let the equations be:

$a_1x+b_1y+c_1=0$ and

$a_2x+b_2y+c_2=0$

1. There exists exactly one solution:

$\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}$

2. There exists infinitely many solutions i.e. lines are identical.

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$

3. There exists No solutions i.e. lines are parallel and will never intersect.

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}$

Now, let us have a look at the given pair of lines:

Option a)

$2 x + 8 y = 15\\4 x + 16 y = 30.$

The ratio:

$\dfrac{2}{4}=\dfrac{8}{16}=\dfrac{15}{30} = \dfrac{1}{2}$

Hence, the lines are identical, infinite solutions.

Option b)

$2 x - y = 18\\4 x + 2 y = 38$

The ratio:

$\dfrac{2}{4}\neq \dfrac{-1}{2}$

Hence, exactly one solution.

Option c)

$4 x + 7 y = 17\\8 x -14 y = 36$

The ratio:

$\dfrac{4}{8}\neq \dfrac{-7}{14}\\\dfrac{1}{2}\neq \dfrac{-1}{2}$

Hence, exactly one solution.

Option d)

$4 x - 3 y = 16\\8 x - 6 y = 34.$

The ratio:

$\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}$

Hence, There is no solution.

The correct answer is:

$4 x -3 y = 16$ and

$8 x -6 y = 34$ are the equations that have no solution.

8 0

3 years ago

Read 2 more answers

How to show the work for x4-y4

Juli2301 [7.4K]

I think you can solve it by
=(x^2 - y^2) *( x^2 + y^2)
= (x -y)*(x+y)*(x^2 + y^2)

6 0

3 years ago

The variables y and x have a proportional relationship, and y = 5 when x = 4. What is the value of x when y = 8? Enter your answ

Charra [1.4K]

Answer

Find out the what is the value of x when y = 8 .

To prove

As given

The variables y and x have a proportional relationship.

$y \propto x$

y = kx

Where k is the constant of proportionality.

As y = 5 when x = 4

Put in the above

5 = 4k

$k = \frac{5}{4}$

Now find out the value of x , when y = 8

$8 = \frac{5\times x}{4}$

$x = \frac{8\times 4}{5}$

x= 6.5

Therefore when y = 8 than x = 6.4

7 0

3 years ago

Read 2 more answers

Glenn ate 2 apples a day for a week. In addition to the apples, he ate 3 pears during the week. write the expression that shows

Mama L [17]

Answer:

17 pieces of fruit in total

Step-by-step explanation:

2x7=14+3=17

7 0

3 years ago

Suppose a DVD costs $19 and a CD cost $14. Right in the inequality to find how many CDs you can buy along with one DVD if you ha

andrezito [222]

Answer: 19 + 14x ≤ 65

Explanation:

$19 is only added once because there is only one DVD purchased. $14 is added an unknown number of times, thus the variable X is included. We know that that the total number of dollars spent for both items is either less than or equal to 65. (Depending on your teacher, they may want you to write "19 + 14x < 65" if they want you to write the answer only for discrete numbers).

4 0

2 years ago