3 years ago

If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.

Mathematics

1 answer:

Alex73 [517]3 years ago

6 0

Answer:

Step-by-step explanation:

Given y ∝ $\frac{1}{x}$ then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = - 2 when x = 14 , then

- 2 = $\frac{k}{14}$ ( multiply both sides by 14 )

- 28 = k

y = - $\frac{28}{x}$ ← equation of variation

You might be interested in

The sum of 2 time a number and -7, added to 5 times the number

DIA [1.3K]

Answer:

7x - 7

Step-by-step explanation:

Variable: X = the unknown number

2x + (-7) + 5x

= 7x - 7

4 0

4 years ago

What is 111.98 times 28%??

Vlada [557]

The answer is 31.3544.

7 0

3 years ago

Carmelo's employer matches 15% of carmelos contributions to his 401(k) plan. if carmelos employer contributed $300 to the plan l

Rzqust [24]

300 is 15% of 2000. The answer is $2000.

6 0

3 years ago

Read 2 more answers

BD is the angle bisector of ZABC \sx-y B 2x+y D 14+y /x+13 x=[?]

NemiM [27]

Answer:

x = 7

Step-by-step explanation:

BD is an angle bisector of ∠ABC,

Therefore, by angle bisector theorem,

∠ABD ≅ ∠CBD

m∠ABD = m∠CBD

(2x + y) = (14 + y)

2x = 14

x = 7

3 0

3 years ago

Heather is considering purchasing an item that costs $17. The sales tax in Heather's area is set at 7.5%. What is the total purc

bija089 [108]

Answer:

$18.28

Step-by-step explanation:

To get the answer all I did was take 7.5% of 17 which is 1.275

I then rounded 1.275 to 1.28. When you round up the number after the 7 has to be 5 or above. Seeing as the number was 5 we rounded it up to 1.28.

Then I took $17+$1.28= $18.28.

I hope this helps!!!

3 0

3 years ago