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

A) y = –28x
B) y = –7x
C) y = –28∕x
D) y = –7∕x

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Given y ∝ [tex]\frac{1}{x}[/tex] then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

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

- 2 = [tex]\frac{k}{14}[/tex] ( multiply both sides by 14 )

- 28 = k

y = - [tex]\frac{28}{x}[/tex] ← equation of variation


Related Questions

Find the sum of 12.351 and 0.5362

Answers

Question:-

Find the sum of 12.351 and 0.5362

Answer:-

12.351 + 0.5362 = 12.8872

expand the function f(x)=(x+5)^3

Answers

The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125

How to expand the function?

The function in the equation is given as

f(x) = (x+5)^3

Rewrite this function properly

So, we have the following representation

f(x) = (x + 5)³

Solving further, we need to expand the expression into factors

So, we have the following representation

f(x) = (x + 5)(x + 5)(x + 5)

Next, we expand the first two brackets in the equation

This gives

f(x) = (x² + 5x + 5x + 25)(x + 5)

Evaluate the like terms

This gives

f(x) = (x² + 10x + 25)(x + 5)

Solving further, we need to expand the last two brackets

So, we have the following representation

f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)

Evaluate the like terms

This gives

f(x) = (x³ + 15x² + 75x + 125)

Remove the brackets

So, we have

f(x) = x³ + 15x² + 75x + 125

Hence, the function is f(x) = x³ + 15x² + 75x + 125

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What is this in simplest form?

Answers

40/50

80 divided by 2
100 divided by 2

1) write the measurement 4009 mm into the place value table below

a) what is 4009 mm in cm
b) what is 4009 mm in m

2) how many millimeters is 6 liters​

Answers

Answer:

a)400.9 cm

b)4.009 m

c) 181.71 mm

Step-by-step explanation:

a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm

so 4009mm/10 = 400.9cm

b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009

c) 1litre= 1000000mm³

6litre= x

xlitre= 6000000 litre mm³

divide by litre

x= 6000000 mm³

but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root

x= 181.71 mm

: . c)181.71 mm

100 points please help will give brainliest

Answers

Answer:

The two angles ADB and BDC are congruent since they are both right angles.

The segment AD and CD are congruent since D is the midpoint of AC.

Segment BD is in common for the two triangles.

The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED

How many roots will the function f(x)= -3x³ - x² + 7x + 6 have?

Answers

Answer:

It will have 3 roots

The number of roots in an equation equals the highest power of that equation.

Step-by-step explanation:


Question 6
You have been asked to set up chairs for the school concert.
The first row will have 10 seats, and each additional row has 4
seats more than the previous row. /(10 pts)
What is the total number of chairs needed to set up 25 rows?

Answers

Answer:

1500

Step-by-step explanation:

we can do simple triangle numbers to do this. 4 more seats per row. we take 10 which is the first row and add the last row which 110 because 4*25 rows is 100 more. now we can half the rows to 12.5 and multiply that by the 120 and we get 1500 and we are done

at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male

Answers

✍ Question:

at euclid school, there are 14 female teachers and 11 male teachers, what fraction of the teachers are male

✍ Answer:

>> The total number of teachers in school would be

14 + 11 = 25

>> Thus, the fraction of male teachers in school would be;

11/25

#CarryOnLearning

- Happy Holidays! -

The required fraction of male teachers in teachers is 11/25.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total number of teachers = female + male
                                       = 14 + 11 = 25 teachers

Fraction of male teachers = male teachers / teachers = 11 / 25

Thus, the required fraction of male teachers in teachers is 11/25.

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Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?

Answers

Answer:

Jose has 36 outfits in total, just multiply all the numbers together

Step-by-step explanation:

NO LINKS!!!!!

Describe the x-values for which (a) f is increasing or decreasing, (b) f(x)>0 and (c) f(x) < 0.

a. The function is increasing when _______ and __________ and decreasing when
__ < x < __.

b. The function is greater than zero when _______.

c. The function is less than zero when
___ < x < ____ and _____​

Answers

A: . The function is increasing when X<-1 and x>1 and decreasing when

-1 < x < 1.

B:The function is greater than zero when x>2

C: The function is less than zero when

-1 < x < 2 and X<-1

In the typing World 120 words in 3 minutes is average how many words could they type in 2 hours

Answers

Answer:

7,200 words

Step-by-step explanation:

Answer: 4,800

I multiplied 120 by 20 because 60 divided by 3 is 20. Then I multiplied my answer by 2 because the question is asking how many words could they type in 2 hours

Consider continuous functions f, g, h, and k. Then complete the statements.
The function that has the least minimum value is function (options) F, H, G, K
The function that has the greatest minimum value is function (options) F, H, G, K
.

Answers

It wouldn't let me post the answer. See images for the answer and explanation

The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

What are the minimum values of the functions?

Given:

Consider continuous functions f, g, h, and k.A graph is given in the attached image.

Find:

The function that has the least minimum value is function.the function that has the greatest minimum value is function.

Solution:

From the question, we get;

[tex]h(x) = 2(x-1)^{2}[/tex]

⇒ h(x)min = 0

⇒ g(x)min = -5

⇒ f(x)min = -7

⇒ k(x)min = 7

So,  f(x)min < g(x)min < h(x)min <  k(x)min

Therefore, The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

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6. What is the value of the underlined digits?
504,405,623
Math

Answers

Answer:

Which one is underlined?

Step-by-step explanation:

the frist 5 is in the 100 millionth place

the frist 0 is in the 10 millionth place

the frist 4 is in the 1 millionth place

the second 4 is in the 100 thousand place

the second 0 is in the 10 thousand place

the second 5 is in the 1 thousand place

the 6 is in the 100s place

the 2 is in the 10s place

and the 3 is in the 1s place

simply the problem pls answer quick

Answers

[tex]\\ \sf\Rrightarrow 1\dfrac{2}{5}m-\dfrac{3}{5}(\dfrac{2}{3}m+1)[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{7}{5}m-\dfrac{3}{5}(\dfrac{2m+3}{3})[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{7m}{5}-\dfrac{6m+9}{15}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{21m-6m-9}{15}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{15m-9}{15}[/tex]

[tex]\\ \sf\Rrightarrow m-\dfrac{3}{5}[/tex]

The simplified form of the expression is m - 3/5

Given the expression 1 2/5 m - 3/5 (2/5m + 1)

We need to simplify the term. Expand the bracket to have:

1 2/5 m - 3/5 (2/3m + 1)

1 2/5 m -2/5 m - 3/5

7/5 m - 2/5 m - 3/5

(7m-2m)/5 - 3/5

5m/5 - 3/5

m - 3/5

Hence the simplified form of the expression is m - 3/5

Learn more on expansion here: https://brainly.com/question/13800206

What is the greatest common factor of 12 and 18?
A. 2 B. 6 C. 4 D. 12

Answers

Answer:

B. 6

Step-by-step explanation:

D. 12 cant be multiplied to get 18

C. 4 cant be multiplied to get 18

A. 2 is a common factor of 12 and 18 but not the greatest.

B. 6 times 2 is 12 and 6 times 3 is 18 so 6 is the greatest common factor.

Answer:

B

Step-by-step explanation:

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 18: 1, 2, 3, 6, 9, 18

The common ones are 1, 2, 3, and 6. The greatest one among these is 6.

Factors are numbers you multiply with another natural number to get another number. For example, the factors of 16 will be all the numbers that can be multiplied with an integer to get 16. 1* 16 is 16, so 1 will work. 2 *8 is 16, so 2 will work. But, 3 * 16/3 is 16 so 3 won't work. You get the point. Hope this helps and pls give brainliset.

Components inside a computer such as CPU and motherboard are all examples of _____. software hardware

Answers

Answer:

it's hardware.

.

hope I helped!

Which 2 colours are the ones for this?

Answers

Answer:

Step-by-step explanation:

red and green

you know this because the red line has an X intercept at 1.5,0 which can be seen on the graph, as well as a Y intercept of 0,-3 which means that 2x-3 is represented by the red line

the green line passes through 0.8, 0 for its x intercept and 4,0 for its y intercept which is also seen on the graph by the green line.

to prove this, set each equation equal to zero and solve-

so 2x-3=0

2x=3

x=1.5

4-5x=0

-5x=-4

x=0.8

also the whole number in each equation (-3 and the 4) are y intercepts since when x is zero they are themselves

How can you simplify this expression?

Answers

Answer:

add the exponents

Step-by-step explanation:

What is the value of the expression

Answers

Answer:

Step-by-step explanation:

2 1/2

Use the distributive property to multiply 4,345 x 2

Answers

Answer:

8690

Step-by-step explanation:

there is no distributive property just multiply using a regular calculator

which is greater?
1.4 or 1.41421356237

Answers

Answer:

1.41421356237

Step-by-step explanation:

After every decimal place value, or decimal point, there are infinite rows of invisible 0's

In 1.4, there are countless invisible 0's, which would look like this

1.40000000000000000...

Same for 1.41421356237

1.4142135623700000000...

So now, you can compare and see that 1.41421356237 has a 1 in the hundredths place, while 1.4 has a 0 in the hundredths place

Thus, 1.41421356237 is greater than 1.4

Windstrong has an elevation of -28.7 feet, and Kennington has an elevation of 28.7 feet. Which of the following is true?
A.
Windstrong's elevation < Kennington's elevation
B.
Windstrong's elevation = Kennington's elevation
C.
Windstrong's elevation > Kennington's elevation

Answers

Answer:

b

Step-by-step explanation:

13/83.2, I have the answer but not the work

Answers

Answer:

6.4 is the correct answer

If a line crosses the y-axis at (0, -3), what is the y-intercept?

Answers

Answer:

Isnt it -3?

Step-by-step explanation:

i need help with this pleaseeeeeeee

Answers

Answer:

BEF

Step-by-step explanation:

Yeah-ya.............. right?

Answer:

TAY I THINK ITS TAY C PART TAY

Find all solutions of cos()=−1/2 on the interval [−

Answers

Answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10!!

Step-by-step explanation:

{x|x is an odd integer between -3 and 7}

Answers

Answer:

x={-1,1,3,5}

Step-by-step explanation:

x={-1,1,3,5}

You need to graph the linear function plz help hurry

Answers

Step-by-step explanation:

I'll try to get this out as as quickly as I can! In this scenario, we have a function m(x). We can also view m(x) as y to make everything easier to understand. It is said that m(x) = 1, which can also be interpreted as for whatever value x may be, the y value is 1. Whether x is -9, 0, 3, 1, or 2/3, the y-value will be 1. The table can be filled out with as many x-values as needed, with corresponding 1's for each.

Next, we have to graph. Try to visualize what this graph might look like. For whatever x-value given, the y-value will be 1. Our graph will have to be a horizontal line through the y-value (0, 1). This represents that for whatever x-value, the y-value will be 1.

Hopefully that's helpful! :)

Talon read 30 pages last night in 20 minutes. If Drake read twice as fast, what was Drake's reading speed?

Answers

Answer:

3m/s

Step-by-step explanation:

s=v/ts=60/20s=3m/s

What is the radical form of the expression 4 3/2?

Answers

Answer: D

Step by Step explanation:

Answer:

[tex]\sqrt{4^{3} }[/tex]

Step-by-step explanation:

4 to the power of 3/2 is the same thing as [tex]\sqrt{4^{3} }[/tex]

since the numerator (3) represents the exponent, and the denominator (2) is the root

think of it like this: [tex]4^{2}[/tex] is (4x4) and [tex]4^{1}[/tex] is just 4 and so [tex]4^{\frac{1}{2} }[/tex] is 2 since it is the inverse of [tex]4^{2}[/tex] and the inverse of a power is a root, so the denominator always is the root and the numerator is the power

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