laksiaosisi laksiaosisi
  • 23-04-2021
  • Mathematics
contestada

The variables x and y vary inversely, and y=6 when x=2. Write an equation that relates x and y. Then find y when x = 3

Respuesta :

Leora03
Leora03 Leora03
  • 23-04-2021

Answer:

[tex]y = \frac{12}{x} [/tex]

y= 4

Step-by-step explanation:

Since x and y are inversely proportional to each other,

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k.

When y= 6, x= 2,

[tex]6 = \frac{k}{2} [/tex]

k= 6(2)

k= 12 (×2 on both sides)

Substitute the value of k back into the equation:

[tex]y = \frac{12}{x} [/tex]

When x=3,

[tex]y = \frac{12}{3} [/tex]

y= 4

Answer Link

Otras preguntas

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!! FACTOR the expression over the COMPLEX numbers.
Matt drives his car 20km to work everyday. What type of car insurance will he need?
If 3 3/4 lb of candy costs 20 .25 how many would 1 lb of candy cost
OF MICE AND MEN CHAPTER 6 QUESTIONS
If you if you traveled 52 ft to -43 feet how far is that
Write the decimal as a fraction or a mixed number in simplest form -0.258 -0.312 -2.32 -1.64 6.012 -12.405
4= q+13 • q= 4 • q= 17 • q= -9 • q= -2
What is 10 less 1 less of 15, 23, 30, 64, 10, 87, 90, 41?
A creative story about the process of cellular respiration.
Finding the Bisects need ASAP