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

What are some camparisions of weathering and erosion and also what are some differences? I will give you over 10 pts.
What chemical weathering called oxidation causes
which Robber Baron became one of the wealthiest people in the world by creating a trust that controlled most of the oil refineries in the United States
How many grams of water will be required to completely react with 1.00 mol of CaO according to the following reaction CaO+H2O__Ca(OH)2
There are 13 _____ used by the human body to maintain health.
Which words BEST describe an analytical essay? A. explanatory and evaluative B. comparative and descriptive C. interpretive and persuasive D. descriptiv
The lot that Dana is buying for her new one story house is 35 yards by 50 yards. Dana's house plans show that her house will cover 1,600 square feet of land. Wh
If you were to write a paper on the Red Scare of the 1920s, on which person might you focus your thesis?
Anarchy is to virtuous as
Marriage to multiple partners.