All categories

3 years ago

If x varies inversely with y and x = 4 when y = 9, find x when y = 6.

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

x = 6

given x varies inversely with y then

xy = k ← k is the constant of variation

to find k use the condition x = 4 when y = 9, hence

k = 4 × 9 = 36

x = $\frac{36}{y}$ ← inverse variation equation

when y = 6, then x = $\frac{36}{6}$ = 6

You might be interested in

How do you do this equation? 9x+(y)i-5=-12+4

Vaselesa [24]

$9x+yi-5=-12+4\\\\(9x-5)+yi=-13\iff9x-5=-13\ and\ y=0\\\\9x=-13+5\\9x=-8\\x=-\frac{8}{9}\\\\Answer:x=-\frac{8}{9}\ and\ y=0.$

3 0

3 years ago

Help. Urgent. Skenekeks

9966 [12]

Answer:

Step-by-step explanation:

Plug in the numbers for the x-value and solve the equation.

| 3(80/3)/4 + 1 | = 16

| 3(-40/3)/4 + 1 | = 16

6 0

3 years ago

8x - 2 = -9 + 7x what does x equal

Nimfa-mama [501]

Answer:

x = - 7

Step-by-step explanation:

8x - 2 = -9 + 7x (add 2 to both sides)

8x - 2 + 2 = -9 + 7x + 2

8x = 7x - 7 (subtract 7x from both sides)

8x - 7x = 7x - 7 - 7x

x = - 7

4 0

3 years ago

Read 2 more answers

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

lana66690 [7]

Answer:

x = 7

Step-by-step explanation:

Start by solving for $(y+x)^2$ which is a common expression for both equations. Then in the first equation:

$3\,x5\,(y+x)^2=16\\3x-16=5\,(y+x)^2\\(y+x)^2=\frac{3\,x-16}{5}$

and in the second equation:

$4\,x+2\,(y+x)^2=30\\2\,(y+x)^2=30-4\,x\\(y+x)^2=15-2\,x$

Now we make the two $(y+x)^2$ expressions equal so we get:

$\frac{3\,x-16}{5} =15-2\,x\\3\,x-16=75-10\,x\\13\,x=75+16\\13\,x=91\\x=7$

8 0

3 years ago

which is not a result of multiplying the height of a rectangular prism by a scale factor of 1/2 and I need work to

chubhunter [2.5K]

C is the answer

for example

assume that the height of a rectangular prism is 2, width is 1 and length measures 3

the volume will be 6
(2*1*3)

if we multiply height with the scale factor of 1/2
it becomes 1

so the volume will be 3
(1*1*3)

this situation goes for other examples, too

good luck

5 0

3 years ago