identify the type of variation represented by y=3/x

Answers

Answer 1

Answer:

Inverse variation

Step-by-step explanation:

Given equation is [tex]y=\frac{3}{x}[/tex].

Now we need to identify the type of variation represented by  [tex]y=\frac{3}{x}[/tex].

We know that there are two type of variations direct and inverse.

If y and x are in direct variation then we write equation as  [tex]y=kx[/tex].

where k is the constant of variation.

If y and x are in inverse variation then we write equation as   [tex]y=\frac{k}{x}[/tex].

Given equation  [tex]y=\frac{3}{x}[/tex] looks similar to  [tex]y=\frac{k}{x}[/tex].

So that means finala answer is "Inverse variation".


Related Questions

Identify a and b in the binomial expression (2x3 + 3y2)7.​

Answers

[tex]\text{Hey there!}[/tex]

[tex]\text{Distribute the value of 7 in each of your terms}[/tex]

[tex]\text{(2x}^3+\text{3y}^2)(7)[/tex]

[tex]\text{2x}^3\times7=\text{14x}^3[/tex]

[tex]\text{3y}^2\times7=\text{21y}^2[/tex]

[tex]\text{We cannot combine like terms because they AREN'T any in this equation}[/tex]

[tex]\boxed{\boxed{\bf{Answer:14x^3+21y^2}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

[tex]a=2x^3[/tex] and [tex]b=3y^2[/tex]

Step-by-step explanation:

The given binomial expression is:  [tex](2x^3+3y^2)^7[/tex]

A standard binomial expression is like  [tex](a+b)^n[/tex]

Comparing the given expression with the standard binomial expression.....

[tex](a\ \ +\ \ b)^n \Longleftrightarrow (2x^3\ +\ 3y^2)^7\\ \\ So,\ \ a=2x^3\\ \\ and\ \ b=3y^2[/tex]

Brett rolls a number cube labeled from 1 to 6 and tosses a penny at the same time. What is the probability that he will roll an even number and toss heads?

Answers

Answer:

1/4

Step-by-step explanation:

We are informed that a cube labeled from 1 to 6 is rolled. The numbers on the faces of the cube are;

1, 2, 3, 4, 5, 6

The probability of rolling an even number is;

(total number of faces with even numbers) / (total number of faces)

The even numbers are;

2, 4, 6

The probability of rolling an even number is thus;

3/6 = 1/2

If a penny is tossed, the probability of landing heads is simply;

1/2

This is because there are only two possible outcomes; heads or tails with equal probability assuming the penny is fair.

now, the probability that he will roll an even number and toss heads is;

1/2 * 1/2 = 1/4

we simply find the product of the probabilities of the individual events since they are independent.

there are two trianagles triangle a has a base of 8 cm and a height of 10 cm triangle b has a base of 5 cm and a height of 13 cm which triangle has a larger area

Answers

Answer:

Step-by-step explanation:

Since angle A is 36°, then angle B is 90° − 36° = 54°.

To find an unknown side, say a, proceed as follows:

1.   Make the unknown side the numerator of a fraction, and make the known side the denominator.

Unknown

Known  =   a

10

2.   Name that function of the angle.

Unknown

Known  =   a

10  = sin 36°

3.   Use the trigonometric Table to evaluate that function.

Unknown

Known  =   a

10  = sin 36° = .588

4.   Solve for the unknown side.

a = 10 × .588 cm = 5.88 cm

Answer:

Triangle a is larger than triangle b

Step-by-step explanation:

Triangle a

8x10=80

80 divided by 2=40

Triangle b

5x13=65

65 divided by 2=32.5

80 > 32.5

Can I pls have brainliest?

Find the total monthly cost for this plan to buy.

Loan Rate Insurance Repairs Gas Extra Miles Misc. Total Cost
$670.60 $200.00 warranty $82.00 $100.00 $62.50

Answers

Answer:

maybe this Total cost

=383.17+200+82+300+62.50

=1,027.67

Step-by-step explanation:

Answer:

$1115.10

Step-by-step explanation:

Total cost  will be the sum of all individual expenses i.e.

[tex]670.60 + 200.00 + 82.00 + 100.00 + 62.50 = 1115.10[/tex]

∴ The total cost will be $1115.10

Which of the following are true statements about a regular polygon? Check all that apply.

Answers

The correct statements about any regular polygon are:

A. It is convex.D. Its sides are line segments.E. All of its sides are congruent.F. All of its angles are congruent.

What is true about the regular polygon

A regular polygon is convex, meaning all its interior angles are less than 180 degrees.

Its sides are straight line segments.

In a regular polygon, all sides are of equal length (congruent).

Regular polygons have congruent interior angles, meaning all angles within the polygon are equal in measure.

Will Give Brainliest. Type the correct answer in each box. Round your answers to the nearest whole number.

Answers

Answer:

Part 1) 53%

Part 2) 44%

Part 3) The record label sold a higher percentage of album 1 as digital downloads than album 2

Step-by-step explanation:

First we need to find the total sales of each album

Album 1:

[tex]540+470=1010[/tex]

Album 2:

[tex]571+452=1023[/tex]

Part 1)

In order to find the percentage of copies of album 1 sold as CDs, we need to create a fraction with the number of CD sales over the total number of sales

[tex]\frac{540}{1010} =0.534\\\\0.534*100=53.4\\\\53[/tex]

Part 2)

We must now do the same thing with the number of digital downloads for album 2

[tex]\frac{452}{1023} =0.441\\\\0.441*100=44.1\\\\44[/tex]

Part 3)

We can now do this again with the number of digital downloads for album 1 and compare it to the answer in Part 2

[tex]\frac{470}{1010} =0.465\\\\0.456*100=46.5\\\\47[/tex]

As the % for album 1 is 47% while the % for album 2 is 44%, album 1 sold a higher percentage of digital downloads than album 2

A bakery bakes 6 batches of cookies every morning . Each batch contains the same amount of cookies. A total of 144 cookies are baked every morning. The first 4 batches of cookies are chocolate chips cookies and the last 2 are macadamia. 5/6 of the first 4 batches are sold by the end of the day. 1/2 of the last two batches are sold by the end of the day. How many chocolate chips cookies remain at the end of the day?

Answers

Answer:

16 remain

Step-by-step explanation:

144 divided by 6 = 24

24 in each batch

24 x 4 = 96

96 cookies in 4 batches

5/6 of 96 = 80

96-80=16

Answer:

16 chocolate cookies was left.

Step-by-step explanation:

Well first 144/6=24 and 24x4=96; 24x2=48. So 96x0.833333333=16.

Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure

Answers

Answer:

yes 1 : 8

Step-by-step explanation:

To determine if the figures are similar calculate the ratio of corresponding sides.

[tex]\frac{24}{3}[/tex] = 8

[tex]\frac{32}{4}[/tex] = 8

[tex]\frac{112}{14}[/tex] = 8

Since all 3 ratios are equal the figures are similar (SSS )

and the ratio small : large = 1 : 8

which statement describes the term salary

Answers

Answer:  Best described as a fixed amount of income that is paid to an someone weekly, every other week, or on a  monthly basis. it could also be described as annual earnings paid out over a year.

Step-by-step explanation:

The SI prefix hecto- is used to designate what value of any unit?

A. 10 × 102
B. 10–5
C. 102
D. 106

Answers

Answer:

optioc C [tex]10^{2}[/tex]

Step-by-step explanation:

we know that

Hecto (h) is a decimal unit prefix in the metric system denoting a factor of one hundred

so

[tex]h=100=10^{2}[/tex]

Which function has zeros at x = −2 and x = 5?

f(x) = x2 + 2x − 10
f(x) = x2 − 2x − 10
f(x) = x2 + 3x − 10
f(x) = x2 − 3x − 10

Answers

f(x)=X2+3x-10 for X=-2

why? 2*2+3*2-10

4+6-10=0

Answer: f(x) = x2 - 3x -10

Step-by-step explanation:

putting x= -2

f(-2) = (-2)^2 - 3(-2) - 10

=4 + 6 -10

f(-2)=0

f(5) = x2 - 3x - 10

= (5)^2 - 3(5) -10

=25 - 15 - 10

f(5) =0

Solve for x in the equation ? 2x^2 +3 x-7 =x^2 +5x +39

Answers

Answer:

1 ± √47

Step-by-step explanation:

Combine like terms in 2x^2 +3 x-7 =x^2 +5x +39:

2x^2 - x^2 = x^2 (first term);

3x - 5x = -2x (second term);

-7 - 39 = -46 (third term)

Then we have, all on the left side, x^2 - 2x - 46, which is a quadratic equation.  Here the coefficients are a = 1, b = -2 and c = -46.

Then the discriminant, b^2 - 4ac, is:

(-2)^2 - 4(1)(-46) = 4 + 184.

The roots are:

     -(-2) ±√188         2 ± √4√47

    ------------------- = -------------------

              2                         2

                             = 1 ± √47 (last of the answer choices)

=

x = ------------------

Help on this question. This is on Khan Academy ​

Answers

Answer:None of the above it would have to be that's what he pays in 9 months

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Akash is paying $79.99 each month for 3 months.  239.97 is the result of that, so there would be 239.97 less in his checking account.  

Jim’s work evaluating 2(3/5)^3 is shown below.

2(3/5)^3 = 2(3^3/5)
=2(3*3*3/5)
=2(27/5)
= 54/5

Which statement best describe Jim’s first error?

a: He did not multiply 3/5 by 2 before applying the power.
b: He did not apply the power to the denominator of 3/5
c: He did not evaluate 3^3 correctly.
d: He did not multiply 27/5 by 2 correctly.

Answers

Answer:

Option b.

Step-by-step explanation:

we have

[tex]2(\frac{3}{5})^{3}[/tex]

Evaluate

[tex]2(\frac{3}{5})^{3}=2(\frac{3^{3}}{5^{3}})\\ \\=2(\frac{27}{125})\\ \\=\frac{54}{125}[/tex]

therefore

He did not apply the power to the denominator of 3/5

I need help on this question plz.

Answers

Answer:

[tex]\large\boxed{A.\ 3^2-16+36\div3}[/tex]

Step-by-step explanation:

[tex]3^2-(5-3)^4+4\times3^2\div3\\\\=3^2-(2)^4+4\times9\div3\\\\=3^2-16+36\div3\to\boxed{A}[/tex]

Which value of x is in the solution set of 2x-3>11-5x

Answers

7x>14,x=2። is right answer i think

7x>14,x=2። is right answer i think

Answer:

Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.

Step-by-step explanation:

We need to find the value of x for the equation 2x-3>11-5x

2x-3>11-5x

Adding +5x on both sides:

2x+5x-3>11-5x+5x

7x-3>11

Adding +3 on both sides

7x-3+3>11+3

7x>14

Dividing by 7 on both sides:

7x/7>14/7

x>2

Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.

Find the value of h for the parallelogram

Answers

Answer:

h = 5.488 in

Explanation:

Area of a parallelogram is calculated as follows:

Area = base * height

In the given parallelogram, we can note that the base is 9.8 in and the corresponding height is 5.6 in

This means that:

Area of parallelogram = 9.8 * 5.6 = 54.88 in²

This same area can be calculated using the other base (10 in) and its corresponding height (h)

This means that:

Area of parallelogram = 10 * h

54.88 = 10 * h

h = 5.488 in

Hope this helps :)

Regina bought $1.25 pounds of apples for $1.10. What was the price per pound?

Answers

Answer:

The price per pound was $0.88

Step-by-step explanation:

If $1.10--------------> 1.25 Pounds

     x <---------------  1 Pound

x = ($1.10)(1 Pound)/1.25 Pound

x = $0.88

B = 7, a + b = 8, a+7 = 8 is an example of which property?

Multiplication property of equality

Addition property of equality

Subtraction property of equality

Division property of equality

Reflexive

Substitution

Distributive

Symmetric

Transitive



Answers

the answer is the substitution property

Answer:

The answer on edge is

A. the addition property of equality

D. the substitution property of equality

Step-by-step explanation:

cause its the answer

Katrina earns $9.25 per hour plus a 12% commission on any sales she makes. In one day, she worked for 11 hours, and she made $385 in sales. About how much money did Katrina earn that day?

Answers

Katrina earned approximately $147.95 that day.

To calculate how much money Katrina earned in one day, we need to take into account her hourly wage as well as her commission from sales. The first part is straightforward: She works 11 hours at an hourly rate of $9.25. To find this portion of her earnings, we multiply the number of hours by her hourly rate:

11 hours * $9.25 per hour = $101.75

Next, we calculate the commission from her sales. Katrina made $385 in sales and gets a 12% commission on these sales:

12% of $385 = 0.12 * $385 = $46.20

To find Katrina's total earnings for the day, we add her hourly earnings to her commission earnings:

$101.75 (hourly earnings) + $46.20 (commission) = $147.95

Therefore, Katrina earned approximately $147.95 that day

Express the square root of -80 in its simplest terms.

A- cannot be determined
B- 8i sqrt 10
C- 4i sqrt 5
D- 2i sqrt 20

Answers

Answer:

C

Step-by-step explanation:

noting that [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-80}[/tex]

= [tex]\sqrt{16(-1)(5)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{-1}[/tex] × [tex]\sqrt{5}[/tex]

= 4i[tex]\sqrt{5}[/tex] → C

The square root of -80, expressed in simplest terms, is 4i sqrt 5, where 'i' is the imaginary unit.So,option C is correct.

To express the square root of -80 in its simplest terms, we need to use the imaginary unit i, which is defined as the square root of -1. We can rewrite -80 as -1  imes 80, and thus the square root of -80 as the square root of -1 times the square root of 80. We know that the square root of -1 is i, and the square root of 80 can be simplified to the square root of 16 times the square root of 5, which is 4 times the square root of 5. Combining these, we get:
√-80 = √(-1 times 80)
      = √-1 times √80
      = i times 4√5
      = 4i√5.

The correct answer is C- 4i sqrt 5.

which expression is equivalent to 16c+24d​

Answers

Answer:

8(2c + 3d)

Step-by-step explanation:

Given

16c + 24d ← factor out 8 from each term

= 8(2c + 3d) ← in factored form

8(2c+3d)

Hope this helped

Which type of correlation is suggested by the scatterplot?

Answers

Answer:

There is no correlation

Step-by-step explanation:

There is no pattern with the points on the scatter plot.

Solve for the variable: 3.5x=32.2
What’s the variable?

Answers

Answer:

The variable is x.

The value of the variable is 9.2.

Step-by-step explanation:

The equation shows the variable x multiplied by 3.5 with the result of that multiplication being 32.2. In order to solve for x, you must "undo" that multiplication.

The definitions of the multiplicative inverse and of the multiplication identity element tell you how to do that. The multiplicative inverse of a number is its reciprocal: the multiplicative inverse of 3.5 is 1/3.5. Multiplying a number by its multiplicative inverse gives a result of 1. Here, that means ...

3.5 × (1/3.5) = 1

The property of the multiplicative identity element (1) is that anything multiplied by that is just that thing:

x · 1 = x

So, to solve this equation, you multiply both sides by the multiplicative inverse of 3.5:

3.5x = 32.2

(1/3.5)(3.5)x = (1/3.5)(32)

1x = 9.2 . . . . . carry out the multiplication

x = 9.2 . . . . . . recognize 1x = x

___

You will recognize that multiplying by 1/3.5 is the same as dividing by 3.5. In other words, we solve this equation by dividing it by the coefficient of x.

Answer:

The variable is x and x is equal to 9.2

Step-by-step explanation:

Keep in mind that a variable is a symbol put in place to represent an unknown value. In this case, our variable is "x."

In order to solve for x, we must isolate it. We can do this by dividing both sides of the equal sign by 3.5

3.5x ÷ 3.5 = 32.2 ÷ 3.5

Simplify.

x = 9.2

Factorise:-
x^3 - 6x^2 + 11x - 6

Answers

Answer:

(x - 1)(x - 2)(x - 3)

Step-by-step explanation:

Note the sum of the coefficients

1 - 6 + 11 - 6 = 0

hence x = 1 is a root and (x - 1) is a factor

dividing x³ - 6x² + 11x - 6 by (x - 1) gives

(x - 1)(x² - 5x + 6)

To factor the quadratic

Consider the factors of + 6 which sum to give - 5

The factors are - 2 and - 3, since

- 2 × - 3 = 6 and - 2 - 3 = - 5, hence

x² - 5x + 6 = (x - 2)(x - 3) and

x³ - 6x² + 11x - 6 = (x - 1)(x - 2)(x - 3)

Answer:

(x - 1)(x - 2)(x - 3).

Step-by-step explanation:

f(x) = x^3 - 6x^2 + 11x - 6

f(1) = 1 - 6 + 11 - 6 = 12 - 12

= 0 so by the Factor Theorem (x - 1) is a factor.

Also, by the Rational Root theorem, as the last term is -6 and the leading coefficient is 1  some of -1, 2,-2, 3 -3, 6,-6  might be zeroes of the function.

f(-1) = -1 + 6 - 11 - 6 = -12 so  -1 is not a zero and (x+ 1) is not a factor.

f(2) = 8 - 24 +22 - 6

= 30 - 30 = 0  so (x - 2) is also a factor)

Since the last term is -6 the last  factor must be  (x - 3)

=Checking:  f(3) = 27 -6(9) + 33 - 6

= 27 - 54 + 33 - 6

= 60-60 = 0.

So the factors are (x - 1)(x - 2)(x - 3).

Solve for x.
y=4+bx^2

A) x=±y−4b‾‾‾‾√

B) x=y−42b

C) x=y−4b

D) x=±y−4√b

Answers

Answer:

±[tex]\sqrt{\frac{y-4}{b} }[/tex] = x

Step-by-step explanation:

to solve y = 4 + bx², we want x alone, so lets subtract 4 from both sides to start

y - 4 = bx² < now divide both sides by b to get x alone

[tex]\frac{y-4}{b}[/tex] = x² < we can square root both sides to get rid of the x² in the equation

±[tex]\sqrt{\frac{y-4}{b} }[/tex] = x

the equation above is our answer. looking at the answer choices, they look a bit messed up, but I would have to say the answer is A if that line above the b is a division symbol

HELP IMPORTAINT!! Part A and B quick!!!​

Answers

Answer:

Part A, the chances of hitting the black circle are closer to zero than 1. Reason: the black circle has an area of around 3.14 while the white has 10^2-3.14 (area of circle = πr^2). Part B, the chances of hitting the white are closer to one than zero as they are 100-3.14= around 96.86

Step-by-step explanation:

Loook up

Need help please answer this question

Answers

Answer:

C

Step-by-step explanation:

Substitute the given values for x and y into the expression

5 × ([tex]\frac{60}{6(5)}[/tex]) - 1

= 5 × ([tex]\frac{60}{30}[/tex]) - 1

= (5 × 2)  - 1

= 10 - 1

= 9 → C

Which of the following ratios are equivalent to 4:5?


12:15


36 to 40
16 to 20

Answers

Answer:

12:15

16:20

Step-by-step explanation:

Note that what you multiply to one side, you multiply to the other (same with dividing) for ratios.

4:5 => 4 * 3: 5 * 3 = 12:15

4:5 => 4 * 4: 5 * 4 = 16:20

~

Answer:

12:5 and 16:20 are equalevent to 4:5

Step-by-step explanation:

12 divided by 3 = 4 (Because 3 x 4 = 12)

15 ÷ 3 =5 (because 5 x 3 = 15, we basicly raised the ration by a scale factor of 3)

12:15 = 4:5

16 ÷ 4 = 4 (because 4 x 4 = 16)

20 ÷ 4 = 5 (4 x 5 = 20 This ratio was raised by a scale factor of 4)

16 : 20 = 4:5

12:5 and 16:20

Hope this helped!

What are the solutions to the quadratic equation 6x2 + 24x = 0?
X = 0 and x = 4
x = 0 and x = -4
x = 6 and x = 4
x = 6 and x = -4

Answers

X=0 and x=-4 is the answer.

6(0)^2=0+24(0)=0

(6(-4)^2= 96) + (24(-4)=-96)=0.

Hope this helps and hope you have a great day and brainiest is always appreciated

Answer:

Solutions are x =0 and x= -4

Second option is correct.

Step-by-step explanation:

The given quadratic equation is [tex]6x^2+24x=0[/tex]

Factored out GCF

[tex]6x(x+4)=0[/tex]

Apply the Zero product property

[tex]6x=0,x+4=0[/tex]

Solve for x

[tex]x=0,x=-4[/tex]

Therefore, the solutions are x =0 and x= -4

Second option is correct.

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When speaking to Parliament, Queen Elizabeth appeals to pathos to make members feel ashamed of their request.When speaking to her troops, Queen Elizabeth appeals to pathos to convince the troops of her capabilities as a leader. When speaking to Parliament, Queen Elizabeth appeals to logos to make members feel ashamed of their request.When speaking to her troops, Queen Elizabeth appeals to logos to inspire and encourage her army. When speaking to Parliament, Queen Elizabeth appeals to pathos to provide rational explanations that convince lawmakers.When speaking to her troops, Queen Elizabeth appeals to pathos to inspire and encourage her army. When speaking to Parliament, Queen Elizabeth appeals to logos to provide rational explanations that convince lawmakers. Human interaction affects the physical environment at many different levels, from something as simple as watering the lawn to clear-cutting thousands of acres of forest for farmland. Which of the following statements is true regarding human impact on the physical environment? A. Eliminating human interaction with the environment will result in a better, safer planet Earth. B. Geographers and scientists cannot know the consequences of human activity on the environment. C. Human interaction with the environment can have both positive and negative consequences. D. Even when there are positive results, the environment is harmed by human activities. What is the equation (4, 5) m=-1/4 solved in point slope form? m^2-10m+9=(m-9)( ) filling the missing factor to complete the equation Suppose you roll a regular 6-faced die. What is the probability of rolling: a 6?, a 2?, and a 4? PLEASE HELP BRAINLY AND MAX POINTS!!!You bought a car that was 25,500 dollars and the value depreciates by 4.5% each year. How much would the car be worth after 5 years? Be sure to give the equation and the answer. Which statement correctly compares protists to prokaryotes? What Does Sir Gawain advise King Arthur to do? Question 2 options: Talk peace with Modred, then wait for Launcelot Surrender to Modred Attack Modred by night Challenge Modred to single combat in front of both armies State government have the power to? A radius is _____ the diameter. The probability that a fair coin tossed 10 times will land heads up on all ten tosses is 1 out of ____.A.)2B.)10C.)210 What is the range of possible sizes for side x? pls HURRY 12 Points!!! what is the area of this trapezoid?A:96 inB:132 inC:168 inD:1344 in