1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fynjy0 [20]
1 year ago
14

Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse

variation equation to represent the relationship,

Mathematics
1 answer:
Natasha_Volkova [10]1 year ago
3 0

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}

Removing the proportionality sign and introducing a constant k, we have

\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}

So, if it's an inverse variation, the relationship would be

y=\frac{-14}{x}

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

y=\frac{-14}{x}

You might be interested in
Find the volume of the sphere. Round your answer to the nearest tenth.
dusya [7]

Answer:

Step-by-step explanation:

Remark

All you need do is find the radius and put it into the formula V = (4/3) pi r^3.

Givens

d = 12 yards

r = d/2

Solution

r = 12 yds/2 = 6 yds

V = 4/3 pi r^3

V = 4/3 * 3.14 * 6*6*6

V = 904.32

Answer 904.4 yd^3

8 0
2 years ago
Find the area of the striped sector if ∠ A = 45° and the circle has a radius of 10 inches.
Pie
A diagram must be provided along with the question above. Based on my research, here is what I got.

<span>100 pi is the area of the entire circle
 That makes :
</span><span>∠ A = 45°/360 = 1/8
</span> 100pi/8 = 25 pi / 2
 
The answer is option D)25π over 2. I hope this answer helps.
4 0
3 years ago
Read 2 more answers
What is the simplified form of squared root 140?
kompoz [17]
Its 2 square root of 35
6 0
3 years ago
Read 2 more answers
A jet travels for 410 miles in 2 hours. at this rate how far could the jet fly in 14 hours? What is the rate of speed of the Jet
Kobotan [32]

410/5 = ?

410/5 = 82

82 miles per hour

82*12 = ?

82*12 = 984

Answer: 984 miles in 12 hours

3 0
3 years ago
Andrew purchased some drinks and some chips. Each bag of chips cost $2.00 and
skad [1K]

Answer:

2.5y=amount spent on drinks

Step-by-step explanation:

If chips are $2 and drinks are $2.50 and we do not know how many he bought of each, we put this into an equation which is

2x+2.5y

x=number of bags of chips while the 2 is two dollars per bag

so, if he bought 2 bags of chips 2(2)= $4 spent.

y= number of drinks and 2.5 is $2.5 per drink, so if he bought 4 drinks:

2.5(4)= $10 spent on drinks.

4 0
3 years ago
Other questions:
  • <img src="https://tex.z-dn.net/?f=%20%28%7B%207v%7D%5E%7B2%7D%20%29" id="TexFormula1" title=" ({ 7v}^{2} )" alt=" ({ 7v}^{2} )"
    11·1 answer
  • I am a number between 60 and 100 My ones digit is 2 less than my tens digit. I am a prime number. What number am I?
    13·1 answer
  • If two lines intersect in a 90° angle what can you save up lines
    13·1 answer
  • 4(3 • 2) + (8 – 3)2 – 62 + 3 • 9 - 23 + 1
    10·1 answer
  • Saturn's average distance from then sun is about 900 million miles.what is that distance in scientific notation?
    6·1 answer
  • Find r, the common ratio.<br> {-252, 126, -63, 31.5, ...}
    11·1 answer
  • What is the mean of the measures of the three exterior angles of a triangle if two of the interior angles have measures of 63 an
    10·1 answer
  • Two stores carry a similar stereo for the same original price of $573. One store offers a 16% discount and the second store sell
    11·2 answers
  • Evaluate the given​ third-order determinant.
    13·1 answer
  • Wevel 3:<br> 12<br> What is the result when the number 81 is decreased by 7%?<br><br> pls help
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!