Mathematics High School

Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. y = 2.5 when x = 9 answer asap plaese

Answers

Answer 1

the correct answer is 1. k = 22.5
2. xy=k

Answer 2

Answer:

k = 22.5; xy = 22.5

your welcome

Related Questions

Reggie currently has a square rug in his living room. He is moving soon and has determined that for his new living room, he will need a rug that has a width that is two feet shorter than his current rug and a length that is five feet longer than his current rug. Let x represents the side measure of Reggie's current rug, in feet. Determine the equation that represents the area, y, in square feet, of the rug needed for his new living room.

y = x2 + 3x - 10

y = x2 - 7x + 10

y = x2 - 3x - 10

y = x2 + 7x + 10

Answers

Answer:
y = x² + 3x - 10

Explanation:
Reggie's current rug has a square shape.
This means that:
length of rug = x ft
width of rug = x ft

For the new rug:
1- the length is 5 ft longer than the current rug. This means that:
new length = x + 5 ft
2- the width is 2 ft shorter than the current rug. This means that:
new width = x - 2 ft

The area of the new rug can be calculated as follows:
area of new rug = new length * new width
area of new rug = (x + 5)(x - 2)
area of new rug = x(x) - 2(x) + 5(x) - 5(2)
area of new rug = x² - 2x + 5x - 10
area of new rug = x² + 3x - 10 ft²

Hope this helps :)

Answer:

C. y = x² + 3x - 10

Step-by-step explanation:

Reggie's current rug has a square shape.

This means that:

length of rug = x ft

width of rug = x ft

For the new rug:

1- the length is 5 ft longer than the current rug. This means that:

new length = x + 5 ft

2- the width is 2 ft shorter than the current rug. This means that:

new width = x - 2 ft

The area of the new rug can be calculated as follows:

area of new rug = new length * new width

area of new rug = (x + 5)(x - 2)

area of new rug = x(x) - 2(x) + 5(x) - 5(2)

area of new rug = x² - 2x + 5x - 10

area of new rug = x² + 3x - 10 ft²

Just took the test <3.

BRAINLIESTTT ASAP!!!!!!!!!

Answers

find where the blue and red lines touch
the answer would be -3.5 and -0.5

the first choice is the correct one

Suppose that F(x) = x^3 and G(x) = (4x)^3 − 5. Which statement best compares the graphs of F(x) and G(x)?

A.The graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units down.
B.The graph of G(x) is the graph of F(x) stretched horizontally and shifted 5 units down.
C.The graph of G(x) is the graph of F(x) compressed vertically and shifted 5 units down.
D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.

Answers

Final answer:

The graph of G(x) is the graph of F(x) stretched horizontally by a factor of 4 and shifted 5 units down.

Explanation:

Comparing the functions [tex]F(x) = x^3[/tex] and [tex]G(x) = (4x)^3 - 5[/tex]reveals the relationship between their graphs. G(x) is a horizontal stretch of F(x) by a factor of 4 due to the presence of "4x." Additionally, the constant term "-5" shifts the graph downward by 5 units. Consequently, G(x) can be accurately characterized as a horizontal stretching of F(x) and a vertical shift downward by 5 units, altering the shape and position of the original cubic function F(x).

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△JKL∼△QRS , JK is 8 centimeters, QR is 12 centimeters, and RS is 9 centimeters.

What is KL ?

Enter your answer in the box.

Answers

Answer:

The measure of KL is 6 centimeters.

Step-by-step explanation:

It is given that △JKL∼△QRS.

The corresponding sides of two similar triangles are proportional.

[tex]\frac{JK}{QR}=\frac{KL}{RS}[/tex]

[tex]\frac{8}{12}=\frac{KL}{9}[/tex]

[tex]8\times 9=KL\times 12[/tex]

Divide both sides by 12.

[tex]KL=\frac{72}{12}[/tex]

[tex]KL=6[/tex]

Therefore we can say that if △JKL∼△QRS, then the measure of KL is 6 centimeters.

Answer:

Step-by-step explanation:

He did too much math lol, a simple way of this is by dividing both sides initially.

12/9 = 1.5
9/1.5 = 6

How could you find an equation of a quadratic function with the zeroes of -3 and 1?

Answers

Hello,

The simpliest quadratic function is y=(x+3)(x-1)
or y=x²+2x-3

Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos. Based on this data, what is a reasonable estimate of the probability that the next customer does not get an arm tattoo?

Answers

Answer:

346/389

Step-by-step explanation:

correct on khan academy!

The reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

Here, Based on the given conditions, formulate

Probability = Favorable outcome / Total outcome

Calculate the sum or difference: (389-43)/389

get the result: 346/389

Thus.the reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

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1. Write using exponents. (–4)(–4)

Answers

Exponents are used as a shorthand notation for repeated multiplication.
[tex] (-4)(-4) = (-4)^{2}[/tex]

Jenna throws a stone off a pier and into the ocean. The graph models how the height of the stone, above sea level, changes over time.

Select from the drop-down menu to interpret the decreasing interval of the graph.

The stone was falling toward the water from

https://static.k12.com/nextgen_media/assets/8090396-NG_AL1_O_07_012_Quiz_05.png

Answers

0.5 after it was thrown until 1.5 after it was thrown

This should get you a hundred on the 4.11 quiz. :)

What are the solutions to the equation?

n^2−8n+16=25

Enter your answers in the boxes.

n1=

n2=

Answers

To factor the equation, first make sure the right hand side is equal to 0. Do this by subtracting 25 from both sides of the equation.
The equation becomes,
n^2-8n-9 = 0

Factoring the equation now gives you (n-9)(n+1) = 0.
In order to find the solutions to this equation, find values of 'n' that make the equation equal to 0.

In this case, if n is 9 or -1, we get the answer 0.

Proof: (9-9)(n+1) => (0)(n+1) = 0
or (n-9)(-1+1) => (n-9)(0) = 0.

Hope this made sense! If it didn't, please ask questions!

Answer:

help

Step-by-step explanation:

Sue's Sushi placed two orders with its fish supplier. One order was for 15 pounds of salmon and 8 pounds of tuna; the order totaled $259. The other order was for 12 pounds of salmon and 6 pounds of tuna; this order totaled $204. What is the cost for one pound of salmon and one pound of tuna?

Answers

x= salmon cost per pound
y= tuna cost per pound

$15x + $8y= $259
$12x + $6y= $204

Solve for one variable in one equation and substitute it in the other equation.

15x + 8y= 259
subtract both sides by 8y
15x= 259 - 8y
divide both sides by 15
x=(259-8y)/15

Substitute in second equation

12x + 6y= 204
12((259-8y)/15) + 6y= 204
multiply everything by 15 to eliminate fraction

(15)(12(259-8y)/15) + (15)(6y)= (204)(15)
(12*259) + (12*-8y) + 90y= 3060
multiply inside parentheses

3108 - 96y + 90y= 3060
combine like terms & subtract 3108 from both sides

-6y= -48
divide both sides by -6

y= $8 cost of tuna per pound

Substitute y=8 in either equation
15x + 8y= 259
15x + 8(8)= 259
15x + 64= 259
15x= 195
x= $13 cost of salmon per pound

CHECK:
12x + 6y= 204
12(13) + 6(8)= 204
156 + 48= 204
204= 204

ANSWER: One pound of salmon costs $13 and one pound of tuna costs $8.

Hope this helps! :)

A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
$500,000.00
$4,862.03
$4,600.00
$20,250.00
24.
A $6,000.00 principal earns 8% interest, compounded semiannually. After 35 years, what is the balance in the account?
$22,800.00
$39,600.00
$88,712.07
$93,429.71
25.
A tractor costs $15,450.00 and depreciates in value by 14% per year. How much will the tractor be worth after 3 years? $22,889.85
$15,408.00
$8,451.28
$9,827.07

Answers

4000(1.05)⁴=$4862.03

6000(1+ .08/2)^35(2)=$93429.71

15450(.86)³=$9827.07

the first one is a
the second one is b
the third is a

Analyze the key features of the graph of the quadratic function f(x) = -x2 + 2x + 10. A. Does the parabola open up or down?
B. Is the vertex a minimum or a maximum?
C. Identify the axis of symmetry, vertex and the y-intercept of the parabola.

Answers

see the attached graphic

the parabola open down
the vertex is a maximum
the axis of symmetry is the y axis
the y-intercept of the parabola.is the point (0,10)

SOS

Answer

A: Down

B: Max

AOS: x = 1Vertex: (1, 11)Y-Int: (0, 10)

Step-by-step explanation:

A: If the leading coefficient (a) is positive, the graph opens UP. If it is negative, the graph opens DOWN.

B: Anytime the graph goes UP, there's a minimum. Anytime the graph goes DOWN, there's a maximum

AOS: [tex]x = \frac{-b}{2a}, a=-1, b=2, c=10[/tex]

Vertex: [tex](\frac{-b}{2a}, y)[/tex]

Y-INT: let x=0 and solve for y. The coordinate of the y-intercept is (0, y).

Hope this helps!!

PLEASE HELP ME QUICKLY!!!

BRAINLIEST AVAILABLE TO CORRECT ANSWER

Answers

I would like to know the possible answers since I can’t infer whether the total price is changed, but i would assume that m would need to increase if that’s the case when b is halved, and that when m is tripled b and mx would increase since prices would be going up

What is the value of 0.36 repeating times 11/2?

Answers

The value of 0.36 repeating times 11/2 is 2.

What is Fraction?

A fraction represents a part of a whole.

To find the value of 0.36 repeating (which we can write as 0.36363636...) times 11/2.

Convert the repeating decimal to a fraction.

Let x = 0.36363636...

Then 100x = 36.36363636...

Subtracting x from 100x, we get:

99x = 36

x = 36/99 = 4/11

Now Multiply the fraction by 11/2.

(4/11) x (11/2) = 2

Therefore, the value of 0.36 repeating times 11/2 is 2.

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One of the factors of 6x3 − 864x is

A. 4
B. X^2
C. X + 12
D. X - 8

Answers

The answer is C. X+12

Consider the expression [tex]6x^3-864x.[/tex] This expression consists of two terms: [tex]6x^3[/tex] and [tex]-864x.[/tex]

These two terms have common factors 6 and x, because:

[tex]6x^3=6x\cdot x^2;[/tex][tex]-864x=6x\cdot (-144).[/tex]

Then

[tex]6x^3-864x=6x(x^2-144).[/tex]

You know that [tex]144=12^2.[/tex] Use the formula for the difference of squares:

[tex]x^2-144=x^2-12^2=(x-12)(x+12).[/tex]

Therefore,

[tex]6x^3-864=6x(x-12)(x+12).[/tex]

Answer: correct choice is C.

Please help me, will give thanks, lots of points, friend request, and brainliest. Alongside that, I will help you with any questions in science, english, or history that you may have.

Assume a and b are nonzero rational numbers and c and d are irrational numbers. For each of the following expressions, determine whether the result is irrational, rational, or both. Justify your answers.
Part A: b(a + d)
Part B: left parenthesis b square root of five end square root right parenthesis cubed
Part C: a + (cb)

Answers

Part A: Well product of two rationals is always rational. And the sum of a rational and an irrational is irrational.

They give you too much freedom in your choice though. Like for part A, what if we let b=-1 (rational) c=pi (irrational d=pi (irrational) Then bc+d = -pi + pi = 0 (rational) Maybe they didn't want you to consider 0 because otherwise all of these options can be rational.

Do you understand the difference between a rational and irrational number? Rationals can be written as a fraction containing whole numbers. Irrationals can not. Here are some examples of rational numbers: 3/2 is rational because its a whole number divided by a whole number. 7 is a rational number because it can be written as 7/1. −4 is a rational number, it also can be written in this form −4/1. This next one maybe seem surprising, but, 0 is a rational number. It also can be written as 0/1, but not as 0/0 (Which is not a number).

So in the end
A: virtually any sum or product involving an irrational number will be irrational.
B. (√7)^2 = 7 ... rational
C. all numbers involved are rational, so this result is rational

All results are irrational.
You have the following "rules."
- the sum of rational and irrational is irrational
- the product of rational and irrational is irrational

A. The first rule applies inside parentheses. The second rule applies then.

B. The result is (rational)*(5^(3/2)). The latter factor is irrational, so the second rule applies.

C. The second rule applies inside parentheses. The first rule applies then.

I need to spend exactly £200, how?

Answers

You can just rent dancers for 4 hours 4 * 50 = 200

Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year. Choose the equation that can be used to solve the problem.
A.) y=42000(1+.08)^6
B.) y=42000(1+6)^8
C.) y=42000(1−.08)^6
D.) y=42000(1−.8)^6
And then: What is the value of the car expected to be 6 years from now?
This is the only question I don't understand, someone help please!

Answers

i think the correct answer is

C.) y=42000(1−.08)^6

as for what it will cost in six years:

25466.91

not sure if you have to include the decimal or round it.

Answer:

Option (c) is correct.

[tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

Step-by-step explanation:

Given : Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year.

We have to choose the equation that can be used to solve the given problem.

We know

Depreciation formula given as,

[tex]A=P(1-\frac{r}{100} )^n[/tex]

Where A is the amount value after depreciation.

P is present value

r is depreciate rate.

n is time period.

Given : P = 42000 and r= 8% also given time period is 6.

Substitute , we have,

[tex]y=42000(1-\frac{8}{100} )^6[/tex]

Simplify , we have,

[tex]y=42000(1-0.08)^6[/tex]

Simplify we get,

[tex]y=25466.91[/tex]

Thus, [tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

help me please asap and plz be correct :)

Answers

The radii are all equal, so
.. AI = BI
.. 3x +7 = 5x -11
.. 18 = 2x
.. 9 = x

Then
.. AI = 3x +7
.. = 3*9 +7
.. = 34

AI = 34

Using the graph below, what is the 10th term of the arithmetic sequence?

A.a10 = 26

B.a10 = 31

C.a10 = 30

D.a10 = 436

Answers

Final answer:

The 10th term of an arithmetic sequence can be found using the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference. Without the graph or additional information, we cannot compute the 10th term for the given sequence.

Explanation:

The question asks us to determine the 10th term of an arithmetic sequence using a provided graph. Unfortunately, the actual graph is not provided in the question. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference. To find the 10th term of an arithmetic sequence, we would use the formula:

an = a1 + (n - 1)d

where an is the nth term of the sequence, a1 is the first term, n is the term number, and d is the common difference. However, without the graph or additional information such as the first term or the common difference, we cannot accurately determine the 10th term, and any answer from the provided options would be purely a guess.

Final answer:

To find the 10th term of an arithmetic sequence, we need to use the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference. In this case, the common difference is -3. Substituting the values into the formula, the 10th term is -24.

Explanation:

To find the 10th term of an arithmetic sequence, we need to identify the common difference and use the formula:

an = a1 + (n-1)d

where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference.

In this case, the given sequence is 3; 14; 11; 5; 16; 17; 28; 41; 31; 18. By comparing the terms, we can see that the common difference is -3.

Substituting the values into the formula:

a10 = 3 + (10-1)(-3) = 3 - 27 = -24

The 10th term of the arithmetic sequence is -24.

a cylinder has a circumgerence of 12pi cm and a height that is half the radius. what is the total surface

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\quad \begin{cases} r=radius\\ -----\\ C=12\pi \end{cases}\implies 12\pi =2\pi r\implies \cfrac{12\pi }{2\pi }=r\implies 6=r\\\\ -------------------------------\\\\ \textit{total surface of a cylinder}\\\\ S=2\pi r(h+r)\quad \begin{cases} r=6\\ h=\stackrel{half~of~r}{3} \end{cases}\implies S= 2\pi (6)(3+6)[/tex]

and surely you know how much that is.

What is the interior angle if the outside equals 110?

Answers

Interior and exterior angles are supplementary. The corresponding interior angle is 180° -110° = 70°.

please someone help me!

Answers

The perimeter is double the sum of the sides.
.. P = 2(3x/(x +10) +x^2/(x -5))
.. = 2(3x(x -5) +x^2(x +10))/((x +10)(x -5))
.. = 2(x^3 +13x^2 -15x)/(x^2 +5x -50)

[tex]P=\frac{2x^{3}+26x^{2}-30x}{x^{2}+5x-50}[/tex]

What is the next number in the sequence? 55, 34, 21, 13, 8…?

Answers

The next number is 5.

Each number in the sequence is the (positive) difference of the previous two numbers.

helppppppppppppppppppppppp

Answers

Answer:
log base 2 of 100 is about 1/4 the value of log base 6 of 20

Explanation:
We will get the value of each of them separately and then compare these values.
log base 2 of 100 = 6.6438
log base 6 of 20 = 1.6719

Comparing these values, we will find that:
log base 2 of 100 is about 1/4 the value of log base 6 of 20

Hope this helps :)

algebra 2 unit 2 question. connexus.

Answers

From the graph we can infer that our function crosses the x-axis at -2.5, 0.5, and 1.5, so those are the zeroes of the function.
Next, lets convert those decimals into fractions by adding a denominator 1 to each decimal and multiply both its numerator and denominator by a power 10 that lets us get rid of the decimal point:
[tex]( \frac{-2.5}{1} )( \frac{10}{10} )= \frac{-25}{10} =- \frac{5}{2} [/tex]
[tex]( \frac{0.5}{1} )( \frac{10}{10} )= \frac{5}{10} = \frac{1}{2} [/tex]
[tex]( \frac{1.5}{1} )( \frac{10}{10} )= \frac{15}{10} = \frac{3}{2} [/tex]

Since we know that each one of those points is a zero of the function ([tex]x=0[/tex]), we can replace each value into our [tex]x=0[/tex], and work backwards to get our binomials:
[tex]x=- \frac{5}{2} [/tex]
[tex]2x=-5[/tex]
[tex]2x+5=0[/tex]
So, our first binomial is [tex](2x+5)[/tex]

[tex]x= \frac{1}{2} [/tex]
[tex]2x=1[/tex]
[tex]2x-1=0[/tex]
So, our second binomial is [tex](2x-1)[/tex]

[tex]x= \frac{3}{2} [/tex]
[tex]2x=3[/tex]
[tex]2x-3=0[/tex]
So, our next binomial is [tex](2x-3)[/tex]

Now lets put all together to find the equation of our function:
[tex]y=(2x+5)(2x-1)(2x-3)[/tex]
And of course, we can rewrite it in a different order:
[tex]y=(2x-1)(2x-3)(2x+5)[/tex]

We can conclude that the equation that most likely represents the graph of the function is [tex]y=(2x-1)(2x-3)(2x+5)[/tex]

Final answer:

The subject of this question is Mathematics, specifically Algebra 2.

Explanation:

The subject of this question is Mathematics, specifically Algebra 2.

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Choose the correct box of the best buy available.
a .a box of cookies for $1.89
b. two boxes of cookies for $3.69

Answers

1.89 times 2 is $3.78 which is more than 3.69, so the answer is b.

The correct answer is B because if you do the multiplication between 1.89 times 2 and it will give you $3.78 which is more than 3.69

△ABC∼△LMN , AB is 8 inches, BC is 14 inches, and LM is 12 inches.

What is MN ?

Answers

Similar triangles have side lengths that are proportional.
We setup a proportion using the given information.

AB/LM = BC/MN

8/12 = 14/MN

8(MN) = 12 * 14

8(MN) = 168

MN = 168/8

MN = 21

16 might be your answer if not I am truly dearly sorry

Which pair of measurements is equivalent?
8,600 mg, 86 g
2,500 g, 250 kg
3.4 kg, 3,400 g
480 g, 4.8 mg

Answers

Let's look at each pair and change it so the first one in the pair will be what the second one will be converted to.
8,600 mg = 86,000 mg; So now, the first one is not equivalent.
2,500 g = 250,000 g; Not that one either.
3.4 kg = 3.4 kg; This one is correct. We can check by checking the last pair.
480 g = .0048 g; Nope.
So 3.4 kg, 3400 g would be the correct answer.

Answer:

3.4 kg, 3,400 g

A rectangle is 1/2 feet long and 3/4 feet wide. What is the area of the rectangle?

Answers

3/8 because to find the area you multiply both numbers so 1*3 is 3 and 2*4 is 8 so your answer should be 3/8

The area of the rectangle having a length of 1.2 feet and a width of 3/4 feet is 3/8 sq feet.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the area of a rectangle is (length×width).

Given, A rectangle is 1/2 feet long and 3/4 feet wide.

Therefore, The area of this rectangle is,

= (1/2×3/4) sq feet.

= 3/8 sq feet.

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