All categories

3 years ago

If y varies inversely with x and y = 6 when x = 3, then what is y when x = 2?

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

Answer:

Correct answer is A. 9

Step-by-step explanation:

If y varies inversely with x the formula reads y = k/x

where the k is coefficient of proportionality

Now we will replace x=3 and y=6 to find value of k

6 = k / 3 => k = 6 · 3 = 18 => k = 18

Now we will replace x=2 and get y

y = 18/2 = 9 => y=9

God with you!!!

You might be interested in

True or false: the equation tan^2x+1=sec^2x

zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

${ \tan}^{2} x + 1 = { \sec}^{2} x$

We take the LHS and simplify to arrive at the RHS.

${ \tan}^{2} x + 1 = \frac{{ \sin}^{2} x}{{ \cos}^{2} x} + 1$

Collect LCM on the right hand side to get;

${ \tan}^{2} x + 1 = \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x}$

This implies that

${ \tan}^{2} x + 1 = \frac{1}{{ \cos}^{2} x} .$

${ \tan}^{2} x + 1 = {( \frac{1}{ \cos(x) }) }^{2}$

${ \tan}^{2} x + 1 = { \sec}^{2} x$

This identity has been verified .Therefore the correct answer is true.

3 0

3 years ago

Which of the following is a line in the drawing?

Luba_88 [7]

Answer:

Step-by-step explanation:

It is the only segment that does not have a bend.

8 0

3 years ago

Kesha rode her bike 12 miles from home to the store. She rode her bike back towards home from the store for 8 miles then walked

stellarik [79]

Answer:

0 Kesha is already home 8+4 is 12 and it's 12 miles from the store to her house .-.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

There are 12 boys and 8 girls in a class.

Serga [27]

Answer:12:10

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the sum. (–7b + 8c) – (12a + 14) + (5a + 5b)

Semmy [17]

Combine like terms
Then you’ll get -7a-2b+8c-14 which is the answer.

3 0

3 years ago

Read 2 more answers