The varlables x and y vary Inversely. Use the given values to wrke an equation relating X and y

The Varlables X And Y Vary Inversely. Use The Given Values To Wrke An Equation Relating X And Y

Answers

Answer 1
x and y vary inversely means y is inversely proportional to x, this means:

y=k/x, where k is a constant.

We are given that when x=-4, y=7/2, we replace these values to find k.

7/2=k/-4
k= (-4*7)/2=-14

So we have y=-14/x

Therefore, when x=4, y=-14/4= -7/2

Related Questions

for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.

Answers

9514 1404 393

Answer:

  yes, SAS

Step-by-step explanation:

Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).

The ratios of short to long sides are ...

  39/52 = (3·13)/(4·13) = 3/4

  63/84 = (3·21)/(4·21) = 3/4

The sides are proportional and the angle between them is congruent, so ...

  the triangles are similar by SAS.

I’m bout to have a mental break down can some one help
Me with this question pls

Answers

Answer:

X=3

Step-by-step explanation:

Give the other person the brainliest since they asked for it >> also I saw your had ray as your pfp yesssss

What is ( x3 )4 in expanded form?

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

(x^3)4  equation

step 2

(x^3)4  simplify

answer

4x^3

can i get brainliest if you dont mind

What is the answer to. 114-x=102?

Answers

Answer:

The answer is

x = 12

Answer:

x = 12

Step-by-step explanation:

-x = 102 - 114

-x = - 12

cancel the minuses

x = 12

5x + 10 = 15
1. 3
2. 1
3. 5
4. 25

Answers

Answer:

[tex]5x = 15 - 10 \\ 5x = 5 \div 5 \\ 5x = 1[/tex]

The Math Club is sponsoring a bake sale. If their goal is to raise at least $200, how many pies must they sell at
$4.00 each in order to meet that goal? Write, solve, and graph an inequality that represents this situation.

Answers

D because if it is greater than or equal the dot on the line will be filled and the arrow has to be facing right

I need help with This

Answers

Answer:  20 songs is the initial value.

Step-by-step explanation: The graph shows that at the beginning of January was 20. She adds 5 songs per month.

The equation would be y = 5x + 20  where y is her total number of songs and x is the number of months that have passed.

Answer:

I think the answer is a

Step-by-step explanation:

The grocery store is having a sale. For every 3 sticks of butter purchased, customers receive 1 free wedge of cheese. If the Crazy 80s Baby Jr. Buys 12 sticks of butter, how many free wedges of cheese will she receive?

Answers

Answer:

4 free wedges of cheese

Step-by-step explanation:

From the above question:

3 sticks of butter purchased = 1 free wedge of cheese

12 sticks of butter purchased = x

Cross Multiply

3 × x = 12 × 1

x = 12/3

x = 4 free wedges of cheese

Therefore, when Baby Jr. Buys 12 sticks of butter, she will receive 4 free wedges of cheese.

Una maquina que fabrica tornillos produce un 3% de piezas defectuosas. Si hoy se han apartado 51 tornillos defectuosos cuantos tornillos ha fabricado la maquina?

Answers

Answer:

1700 tornillos

Step-by-step explanation:

Dado que la máquina produce un 3% de tornillos defectuosos en un día. Produjo 51 tornillos defectuosos en un día.

Deje que el número total de tornillos producidos ese día sea x

Por lo tanto;

3% de x = 51

3/100 * x = 51

x = 51 * 100/3

x = 1700 tornillos

Find f(2) if f(x) = (x+1)^2

Answers

Answer:9

Step-by-step explanation: f(2)  ((2)+1)^2

Answer:

f(2) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = (x + 1)²

f(2) is x = 2

Step 2: Evaluate

Substitute in x:                    f(2) = (2 + 1)²(Parenthesis) Add:              f(2) = 3²Exponents:                          f(2) = 9

The highest point in a park is 235 feet above sea level. The lowest point is 32 feet below sea level. What is the distance between the highest and lowest points in the park? _____ feet

Answers

Answer:

The distance between the points is equal to 267 feet

Step-by-step explanation:

In order to find the distance between the highest and the lowest points in the park we just have to subtract the the lower height from the higher height and the resulting difference will be equal to the distance between the two points. And so we get..........

235 - (-32) = 235 + 32 = 267

(Notice that the 32 feet are written as (-32) because the lowest point is 32 feet below the sea level).

267 feet
add above sea level and below sea level

Question 5 of 10
How many solutions are there to the equation below?
6x +35+ 9x = 15(x + 4) -
- 25
A. 0
O B. 1
C. Infinitely many
SURMIT

Answers

Answer:

6x +35 +9x = 15(x+4)

6x +35 +9x = 15x + 60

15x +35 =15x +60

0x= 25

0x= no solution

Step-by-step explanation:

The equation has no solution.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given is an equation, 6x +35 +9x = 15(x+4), we need to find the solution,

6x +35 +9x = 15(x+4)

6x +35 +9x = 15x + 60

15x +35 =15x +60

0 = 25

Since, 0 ≠ 25, this is a contradiction.

Therefore, the equation has no solution.

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can someone help me this is due like in 15 min

Answers

I need to see quadrant 3

Answer:

Step-by-step explanation:

(-3, -3)

the third quadrant has x values negative and y values negative

75 + 10x = 225 solve for x

Answers

Answer:

x = 15

Step-by-step explanation:

75 + 10x = 225

subtract 75 from both sides

10x = 150

divide both sides by 10

x = 15

Answer:

x = 15

Step-by-step explanation:

75 +10x = 225                 Given

75-75+10x = 225-75       Subtract 75 from each side (to isolate x)

10x = 150                         After

10x/10 = 150/10               Divided each side by 10 (to get the unite rate of x)

x = 15                               Answer

Write in point-slope form the equation of a line that has a slope of -5 and passes through the point (-1, 3).

Answers

Answer:

y - 3 = - 5(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 5 and (a, b) = (- 1, 3 ), then

y - 3 = - 5(x - (- 1) ) , that is

y - 3 = - 5(x + 1)

Answer:

Step-by-step explanation:

point slope formula is:   y-y1 = m(x-x1)  ( memorize this formula there is also slope intercept)

now plug in your point and slope where m = slope and the number of the given point are (x1,y1)

y-3 = -5(x-(-1))

y-3 = -5(x+1)

what is three-fourths times a square of a number

just write the equation

Answers

Answer:

3/4(x^2)

Step-by-step explanation:

........................

Which expression is equivalent to -8(x-4)-1/4(12x-8)

Answers

Answer:

Step-by-step explanation:

-8(x-4)-1/4(12x-8)=

=-8x+32-1/4(4)(3x-2)=

=-8x+32-3x+2=-11x+34

-11x=-34

x=34/11=3 1/11

Which of the following is not a polynomial

Answers

Answer:

C. In a polynomial, you are not allowed to have a variable in a denominator.

Answer:

c

Step-by-step explanation:

because you can't have an exponent in the denominator

How to express each of the following pairs of
simultaneous inequalities in the form
a * x * b where a and b are numbers and #
may be < or <,
(a) x > 3, 2x - 3 < 15
(b) 25 > 1 - 6x, 1 > 3x + 7
(c) 2x - 7<3< 27 + 4x
(d) 3x + 8 <0 < 21 + 4x
(e) 5x - 36 < -1 < 2x – 1​

Answers

Answer:

a) 3<x<8

b) -4<x<-2

c) -6<x<5

d) -21/4 < x-8/3

e) 0<x<7

Step-by-step explanation:

Given the following inequalities

a)  x > 3, 2x - 3 < 15

Solve 2x - 3 < 15

2x < 15+3

2x<18

x<18/2

x<8

Combine x>3 and x<8

If x>3, then 3<x

On combining, we have:

3<x<8

b) For the inequalities 25 > 1 - 6x, 1 > 3x + 7

25 > 1 - 6x

25-1>-6x

24>-6x

Divide through by -6:

24/-6 > -6x/-6

-4 <x

For the inequality 1 > 3x + 7

1-7>3x

-6>3x

-6/3 > 3x/3

-2 > x

x < -2

Combining both results i.e -4 <x and x < -2, we will have:

-4<x<-2

c) For the inequalities 2x - 7<3< 27 + 4x

On splitting:

2x - 7<3 and 3< 27 + 4x

2x < 3+7

2x<10

x<5

Also for 3< 27 + 4x

3-27<4x

-24<4x

-24/4 < 4x/4

-6<x

Combining both solutions i.e x<5 and -6<x will give;

-6<x<5

d) For the inequalities 3x + 8 <0 < 21 + 4x

3x + 8 <0

3x < -8

x < -8/3

Also for 0 < 21 + 4x

0-21<4x

-21<4x

-21/4 < 4x/4

-21/4 < x

Combining -21/4 < x and x < -8/3 will give;

-21/4 < x-8/3

e) For the inequalities 5x - 36 < -1 < 2x – 1​

Split:

5x - 36 < -1

5x < -1+36

5x<35

5x/5 < 35/5

x < 7

For the expression -1 < 2x – 1​

-1+1 < 2x

0 < 2x

0<x

Combining both inequalities 0<x and x < 7 will give:

0<x<7

Factorise: (a^4 - 8a^2b^2 + 16b^4) -81

Answers

Answer:

[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

This can be written as the difference of 2 squares:

(a^4 - 8a^2b^2 + 16b^4) -81

= (a^2 - 4b^2)^2 - 81

=[(a^2 - 4b^2) + 9] [(a^2 - 4b^2) - 9]

= [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

The factorized form of the given expression will be as:

[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

What is the Factorization?

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The expression is given in the question as:

(a⁴ - 8a²b² + 16b⁴) - 81

We have to determine the factorized form of the given expression

As per the given question, the required solution would be as:

(a⁴ - 8a²b² + 16b⁴) - 81

This can be written as the difference between 2 squares:

⇒ (a² - 4b²)² - 81

⇒ [(a - 4b²) + 9] [(a² - 4b²) - 9]

⇒ [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

Learn more about the Factorization here:

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Diana's father is 28 years older then Diana. The sum of their ages is 64. How old is Diana ?

Answers

Answer:

Diana is 36

1

64

-

28

--------

3  6

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

64-28= 36

I think my math is right I hope this helps good luck!

HELP I NEED THOS FASSTTTT A
What is the domain of the function?

Answers

Answer:

A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

domain -are all values of x

c -because x can take any value except 1

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Circle 1=6x+2y

Rectangle 4 = 3x+y

Circle 4 = 5x

Step-by-step explanation:

4x+3y and 2x-y can be added to find result for the circle.

Let C1 represent circle 1

4x+3y+2x-y=C1\\

Combining\:like\:terms\\

4x+2x+3y-y=C1

6x+2y=C1

So, The result is: C1=6x+2y

Now, We need to solve:

Let R1 represent rectangle 4

x+4y + R1 = 4x+5y

R1=4x+5y-(x+4y)

R1=4x+5y-x-4y

R1=4x-x+5y-4y

R1=3x+y

So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y

Now, We need to solve the equation:

Let C4= Circle 4

2x-y+3x+y=C4

Combining the like terms

2x+3x-y+y=C4

5x=C4

So, Solving 2x-y+3x+y=C4 we get C4 = 5x

Find the slope of the line.
Print
12
10
9
4
2
1
0
.
5
2
12
5 6 7 8 9 10
The slope is
Turn it in

Answers

Answer:

The slope of the line is 3.

Step-by-step explanation:

Remember:

[tex]Slope = \frac{rise}{run} [/tex]

PLEASE HURRY!!!!!!
Express [tex](\frac{\sqrt{2} }{5} +\frac{5}{2}i)^{2}[/tex] in simplest a+bi form.

Answers

Expand the binomial:

(√2/5 + 5/2 i )² = (√2/5)² + 2i (√2/5) (5/2) + (5/2 i

… = 2/25 + √2 i + 25/4 i ²

… = -617/100 + √2 i

How much tax willl be added to the price of the car

Answers

Answer: See explanation

Step-by-step explanation:

You didn't give further information that will be useful in solving the question but let me help out.

Let's say the price of a car is $30,000 and the sales tax is 4%, the tax that will be added to the car would be:

= 4% × $30,000

= 4/100 × $30,000

= 0.04 × $30,000

= $1200

A student inscribes a triangle within a semicircle. What is the measure of
XYZ?

Answers

Answer:

Step-by-step explanation:

for a triangle inscribed in a semicircle that angle is always 90 degrees

9514 1404 393

Answer:

  C.  90°

Step-by-step explanation:

A triangle inscribed in a semicircle is always a right triangle. The measure of angle Y, which subtends an arc of 180°, is half the measure of the arc it subtends, so is 180°/2 = 90°.

Evaluate (−23)×(−23)3 by using the Laws of Exponents

Answers

Given:

[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]

To find:

The value of given expression by using the Laws of Exponents.

Solution:

We have,

[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]

Using the Laws of Exponents, we get

[tex]=\left(-\dfrac{2}{3}\right)^{1+3}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]=\left(\dfrac{-2}{3}\right)^{4}[/tex]

[tex]=\dfrac{(-2)^4}{(3)^4}[/tex]      [tex][\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}][/tex]

[tex]=\dfrac{(-2)\times (-2)\times (-2)\times (-2)}{(3)\times (3)\times (3)\times (3)}[/tex]

[tex]=\dfrac{16}{81}[/tex]

Therefore, the value of given expression is [tex]\dfrac{16}{81}[/tex].

solve the equation 2x+5=13 Graph the solutions, if possible.

Answers

Answer: x = 4

Step-by-step explanation:

Write a real-word problem that can be represented by the inequality s<20. Represent the solution on the number line

Answers

Answer:

An elevator can hold up to about 2000 pounds of weight.The combined weight of everyone currently in the elevator is 1980 pounds. Write an inequality showing the possible amount of weight that can be added to the elevator. S can be your variable hope this helps.

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