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Effectus [21]
3 years ago
14

For each equation, determine whether it represents a direct variation, an inverse variation, or neither.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

we know that in direct variation as x increase y also increases.

in indirect variation x decreases y increase and vice versa.

in part a we have x at top (numerator ) and y at denominator it mean indirect variation (as x increases y decreases).

to find k we know that for indirect variation xy=k

if we rewrite the equation x=9/y we get xy=9

which mean k=9 .

in part b we have 4xy=20 if we simplify this equation we get

xy=20/4=5

so here if we rewrite in terms of x.

we get x=5/y which represents indirect variation.

and we know xy=k

we have xy=5 .so k=5

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Please help me i don’t understand this question at all.
Maru [420]

9514 1404 393

Answer:

  D.

Step-by-step explanation:

The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)

When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.

The only reasonable choice is D.

__

Your calculator can check this for you.

  √12/(√3 +3) ≈ 3.4641/(1.7321 +3)

  = 3.4641/4.7321 ≈ 0.7321 = -1 +√3

__

If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.

  \displaystyle\frac{\sqrt{12}}{\sqrt{3}+3}=\frac{\sqrt{12}}{(\sqrt{3}+3)}\cdot\frac{(\sqrt{3}-3)}{(\sqrt{3}-3)}=\frac{\sqrt{36}-3\sqrt{12}}{3-9}\\\\=\frac{6-3\cdot2\sqrt{3}}{-6}=\boxed{-1+\sqrt{3}}

_____

<em>Additional comment</em>

We "rationalize the denominator" in this way to take advantage of the relation ...

  (a -b)(a +b) = a² -b²

Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.

We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).

3 0
3 years ago
What is (16x+9)+(−9x−5) ?
seropon [69]

Answer:

7+4

Step-by-step explanation:

hope it helps

8 0
2 years ago
Read 2 more answers
I need help with math plz
forsale [732]

Answer:

you need to put the diagram

Step-by-step explanation:

5 0
3 years ago
Re-posting because I need help.. Please help and show how you got the answer..
Nesterboy [21]

Answer:

Explicit: -2*2^(n-1)

Recursive: 2*aₙ₋₁

Step-by-step explanation:

To write a explicit formula for this geometric sequence you follow the following formula/template

Firstnumber*commonratio^(n-1)

Seeing that the common ratio is 2 we can start plugging numbers in and get

-2*2^(n-1)

For a recursive formula we follow the following template

common ratio * the n-1 term

So we could write this as

2*aₙ₋₁

8 0
3 years ago
Which is not a correct name for the line shown?<br><br> A.m<br> B.PQ<br> C.mP<br> D.QR
tensa zangetsu [6.8K]
C is not correct

You can call it line m
You can call it PR or QR
3 0
3 years ago
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