Find an equation for the inverse for each of the following relations. y= (2/3)x-5

Answers

Answer 1

Answer:

y = 3/2x + 15/2

or

y = [tex]\frac{3x+15}{2}[/tex]

Step-by-step explanation:

To solve inverse functions, switch the x and y in the equation, then

solve for y.

original equation :

y = (2/3)x - 5

switch x and y

x = (2/3)y - 5

add 5 to both sides

x + 5 = (2/3)y

Multiply both sides by the reciprical of (2/3)

(3/2)(x+5) = (3/2)(2/3)y

distribute and simplifiy

(3/2x +15/2) = y

or

y = (3/2x) +(15/2)


Related Questions

1) What are the domain and range of f(x)=-*+7?

Answers

Answer:

not clear but it should be 0 because it doesnt make sense

Step-by-step explanation:

work out 9 over 13 of 182 (9 over 13 is supposed to be a fraction)

Answers

Answer:

126

Step-by-step explanation:

In math, "of" usually means multiplication.

9/13 of 182 means 9/13 × 182.

9/13 × 182 = 9/13 × 182/1 = (9 × 182)/(13 × 1) = 1638/13 = 126

Answer: 126

Answer:

126

Step-by-step explanation:

To find 9/13 of 182, we would divide 182 by 13 and multiply the quotient by 9.

182 ÷ 13 = 14

14 • 9 = 126

To double-check our answer, we can divide 126 by 182 and see if the fraction is congruent to 9/13.

126 ÷ 182 = 0.6923

9 ÷ 13 = 0.6923

I hope this helps.

4.) Which is a statistical question?
(a) How many weeks are in November?
(b) How many students are on the roster for Morehouse Homeroom?
(c) How tall is Reggie?
(d) How many minutes do students wait in line to go home after school?

Answers

Answer:

How many students are on the roster for Morehouse Homeroom?

35. Mathematical Connections A streamer is
launched 3 s after a fuse is lit and lands 8 s
after it is lit.
у
100
80
60
Height (ft)
40
20
0
0
X
8 10
2 4 6
Time (s)
a. What is a quadratic equation in factored
form that models the situation?

Answers

Launching the fuse is an illustration of a quadratic model, and the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)

How to model the quadratic equation?

From the complete question, the zeros of the quadratic function are:

x = 3 and x = 8

Rewrite as:

x - 3 = 0 and x - 8 = 0

So, the quadratic equation is:

f(x) = a(x - 3)(x - 8)

Also from the graph, we have the following point

(x,y) = (4,60)

Substitute 4 for x and 60 for f(x) in the function

a(4 - 3)(4 - 8) = 60

Evaluate the difference

a(1)(-4) = 60

Evaluate the product

-4a = 60

Divide both sides by 4

a = -15

Substitute a = -15 in f(x) = a(x - 3)(x - 8)

f(x) = -15(x - 3)(x - 8)

Hence, the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)

Read more about quadratic models at:

https://brainly.com/question/8649555

What is the simplest form of [tex]\sqrt[3]{7} -\sqrt[5]{7}[/tex]

Answers

Here is the forms of the problem

Answer 1 and 2 and I'll mark you brainliest

Answers

1.
Is 300 because 4x75 you get how many bottles of water.

2.
4.47 if you subtract.


. Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?

Answers

Answer:

not answered this question

What is the area of this trapezoid?

168 ft
221 ft
248 ft
261 ft

Answers

Answer:

248

Step-by-step explanation:

18-13 =5

16*5=80/2 because it is a triangle = 40

40+16*13=

40+208+

248

Answer:

248

Step-by-step explanation:

k12 :)

What is the area, in square meters, of the trapezoid below?

Answers

Step-by-step explanation:

A = 1/2*h(base + base)

Plugging everything in gives you:

1/2*(6.8)(7.5 + 13.7 + 5.3)

((13.7 + 5.3) gives you the bottom base)

First, adding inside the parentheses:

1/2*(6.8)(26.5)

Multiply 6.8 by 26.5(h times bases):

1/2*(180.2)

Lastly, multiply:

A= 90.1 m^2

Hope this helps :)

If the dimensions of a rectangular prism are 3 cm , 4 cm, and 10 cm, then it’s surface area is

Answers

Answer:

As Per Provided Information

Dimensions of rectangle prism are 3 cm , 4 cm and 10 cm .

We have been asked to determine it's surface area.

[tex] \underline{\boxed{\bf \: Surface \: Area_{(Rectangular \: Prism)} = 2(lw + hl + hw}}[/tex]

where,

w denote width

h denote height

l denote length

[tex] \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \: 2(3 \times 4 + 4 \times 10 + 10 \times 3) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(12 + 40 + 30) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:2(82) \\ \\ \\ \longrightarrow\sf \: Surface \: Area_{(Rectangular \: Prism)} = \:164 \: {cm}^{2} [/tex]

Therefore,

Surface area of rectangular prism is 164 cm².

Answer:

Surface area of rectangular prism is 164cm²

Step-by-step explanation:

Given :-

Dimensions of rectangular prism is 3cm , 4cm, and 10cm

To find:-

Surface area of rectangular prism

Solution:-

Surface area of rectangular prism :-

2(lb + bh + hl)

putting the known values ,

Surface Area = 2(3×4+4×10+10×3) cm²

Surface area = 2(12+40+30) cm³

Surface area = 164cm²

4. What is the height of a triangular sail whose base is 4 meters and area is 20 square meters? ​

Answers

Answer:

pa branliest

Step-by-step explanation:

The height of a triangle is 4 inches more than twice the length of the base

can you help with this please?​

Answers

The Answer would be E

If the area of a circle measures 16cm2 what is the circumference

Answers

Answer:

14.18 cm

Step-by-step explanation:

Area = pi r^2

sqrt ( area/pi)  = r

diameter is 2 x r     and circumference is pi * d

circumference      pi *   2 * ( sqrt area/pi)  = 14.18 cm

24 1/2 feet by 12 4/5 feet=?

Answers

Covert 24 & 1/2, and 12 & 4/5 into decimal form.

Which would give you 24.5 and 12.8.

“by” would mean you have to multiply the two together. And by doing that you get

313.6 or 313 3/5 feet.

Hope this helps.

Jeffrey’s recipe for oatmeal muffins calls for 2 1/2 cups of oatmeal and makes one dozen muffins. If he makes 3 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he uses.

Answers

Your answer should be 13 3/4 cups

What are the steps you would have to do to make the original triangle into the new triangle?

Answers

Answer:

I don't clearly understand your question, but if this is on a graph or relating to math simply check the difference in the y intercept. OR see the difference and revers it such as if was mulltiplied by an EXPONENT.

Step-by-step explanation:

Graph:

Check y intercept and the differences in both values.

Regular triangle:

Imagine te steps being taken or revers the original steps.

f(x)=-2x^2-10x
Find (-5)

Answers

Answer:

Hi! this is the answerThe length of the third side is a-2. :))))))))

Step-by-step explanation:

The data set shows the number of cats owned by the members of Taylor's basketball team.
2,0, 1, 2, 4, 1,4,0,3,2
The value that could best measure the center of this data is


Answers

Answer:

Mean

Step-by-step explanation:

2,0, 1, 2, 4, 1,4,0,3,2

in ascending order we have

0 0 1 1 2 2 2 3 4 4

There are no outliers here so I would say the mean.

Actual mean = 1.9

Which fraction is between 0.8 and 0.82?

Answers

0.81 is in between 0.8 and 0.82.

0.81 as a fraction is 81/100.

So, the fraction between 0.8 and 0.82 is 81/100.

A group of tourists travels 4 hours by car and 7 hours by train. In this time, they go a total of 640 km. What is the speed of the train, if it is 5 km greater than the speed of
the car?

Answers

55 kph hope this helps

The speed of the train is given by T = 60 km/hr

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let's call the speed of the car "x" (in km/h).

And the speed of the train is "x+5" (also in km/h).

We can use the formula:

distance = speed x time

To write two equations, one for the distance traveled by the car and one for the distance traveled by the train:

The distance traveled by car C = x × 4

The distance traveled by train T = (x+5) × 7

We know that the total distance traveled is 640 km, so we can write:

x × 4 + (x+5) × 7 = 640

Expanding the brackets and simplifying, we get:

4x + 7x + 35 = 640

11x = 605

x = 55

So the speed of the car is 55 km/h. Using this, we can find the speed of the train:

The speed of train T = speed of car C + 5

The speed of train = 55 + 5

The speed of train = 60 km/h

Hence , the speed of the train is 60 km/hr

To learn more about speed click :

https://brainly.com/question/19930939

#SPJ2

Find the value of
46
83

Answers

An outside angle equals the sum of the two opposite inside angles.


x = 83 + 46 = 129

I need Help ASAP !!!!!!!!!!!!!

Answers

Answer:if I’m not mistaken I think it’s -4 I did this assignment too just look around to see I’m not 100% sure

Step-by-step explanation:

Which of the following is a geometric series? 40 50 60 70 40 42 44 46 40 80 40 120 40 20 10 5

Answers

The given series  40 + 20 + 10 + 5 is a geometric series.

What is the geometric series?

The geometric series the ratio of consecutive terms is equal and the ratio is called the common ratio of the geometric series.

Let us find the ratio of consecutive terms of each of the given series.

For the series 40 + 50 + 60 + 70

50/40 = 5/4

60/50 = 6/5

Since, 5/4 ≠ 6/5 hence, it is not a geometric series.

For the series 40 + 42 + 44 + 46

42/40 = 21/10

44/42 = 22/21

Since, 21/10 ≠ 22/21 hence, it is not a geometric series.

For the series 40 + 80 + 40 + 120

80/40 = 2

40/80 = 1/2

Since, 2 ≠ 1/2 hence, it is not a geometric series.

For the series 40 + 20 + 10 + 5

20/40 = 1/2

10/20 = 1/2

Since, 1/2 = 1/2 hence, it is a geometric series.

Therefore, D is the correct option.

To learn more about the geometric series visit:

https://brainly.com/question/24643676

Which answer is correct?

Answers

Answer:

D and B

Step-by-step explanation:

Because D is saying the negative number is less than, we know it is true.

Because B states that -7.1 is more, it is correct. -7.1 is closer to zero than -7.8, making it a larger number.

Answer:

B. -7.1 > -7.8

D. -6[tex]\frac{3}{5}[/tex] < 6[tex]\frac{2}{5}[/tex]

both B. and D. are correct!

The mass of substances left in a sample
after the liquid is evaporated is called
the total dissolved solids. Kim split up
2 liters of water into three different
samples and boiled all the liquid away
in each. The masses of solids left in the
three samples were 2.025 grams, 457 mg
and 589 mg. Using the table at the right
how should Kim classify the water?

Answers

This question tests one's knowledge of states of matter. Kim would have to classify the water as gaseous matter in this case.

Why should Kim classify the water as gaseous?

Remember, she boiled all the liquid away. Hence in their evaporated state, the water now assumes a gaseous form.

Matter can exist in various states. They are:

Solids;Liquids;Gaseous;Plasma; andBose-Einstein condensate. (which is Man-made).

Learn more about states of matter at:
https://brainly.com/question/16982523

Help Asap!!!! No Links!

Answers

Answer: 18

Step-by-step explanation:

Start by evaluating in the parenthesis

First simplify the exponents

[tex]\frac{3}{4} (2^3+4^2)\\\frac{3}{4} (8+16)[/tex]

Now simplify in the parenthesis

[tex]\frac{3}{4} (8+16)\\\frac{3}{4} (24)[/tex]

Now multiply

[tex]\frac{3}{4} (24)\\\frac{72}{4} \\18[/tex]

Please help!!! I dont understand this

Answers

Answer:

x=120

Step-by-step explanation:

so if you look at a angle ruler you will see it's 120 so now if you look one up and put it to 120 it would match i wouldn't know how accurate it is but from what i know its 120

If the volume of a prism is 30m3 and it’s height is 5m what is the area of the base

Answers

Answer:

6[tex]m^{2}[/tex]

Step-by-step explanation:

Any prism volume is V = BH where B is area of base and H is height of prism,

B = 1/2 h(b1+b2) since B is the area of the base

[tex]\frac{v}{h}[/tex]=B if we solve for B from the volume formula

which gives: [tex]\frac{30m^{3} }{5m}[/tex] and the units cancel out to leave 6[tex]m^{2}[/tex] is the area of the base

3. Write an equation to represent the situation:
A taxi ride costs $6.50 total. The fare was
charged at $1.25 per mile., How many miles did the
taxi travel?

Answers

Answer:

Equation would be 1.25m = 6.50.

The taxi traveld 5.2 miles.

Step-by-step explanation:

So we know that they charge 1.25 per mile but we dont know how many miles they traveld.

Our total cost was 6.50. This is imediatly enough information to help build an equation.

Since the amount of the miles travels is unkown, we leave it as "m" but we know it cost 1.25 per mile therfore it makes it 1.25m

Next we do, 1.25m = 6.50 since 6.50 was our total cost.

Now, we solve it! We solve it by simply dividing 1.25 on both sides:

[tex]\frac{1.25m}{1.25}[/tex] = [tex]\frac{6.50}{1.25}[/tex]

When we divide 1.25 by 1.25 we get 1 which leaves it at 0. When we divide 6.50 by 1.25 we get 5.2.

m = 5.2

miles = 5.2

Which is the better buy?

A. 8 oz for $2.88

B. 10 oz for $4.19

C. 6 oz for $1.98

D. 5 oz for $2.75

Group of answer choices

D

B

A

C

Answers

Answer:

C

Step-by-step explanation:

It's more profitable to buy the 6 oz for 1.98 due to the price range and how much you can get with just one purchase of 1.98. Instead of 10 oz for 4.19 or anything else you can double or even triple the amount by buying just the 6 oz more than 1 at a time :)

Other Questions
research shows that the probability of a person being right handed is 0.77 how many left handed people would you expect in a population of 25000? Can someone please help me? Which one of the following statements concerning the random walk hypothesis is correct?Question content area bottomPart 1A.Stock prices in general follow repetitive patterns but the actions of individual investors are random in nature.B.Random price movements indicate that investors can earn abnormal profits on a routine basis.C.Stock prices respond to new information.D.Stock price movements are predictable but only over short periods of time. 10. Boron has two naturally occurring isotopes, 10B with an atomic mass of 10.0129370amu and 11Bwith an atomic mass of 11.0093054amu. The atomic mass of boron is 10.81 (from the periodic table). The percent abundances of the boron isotopes are __________% 10Band __________% 11B. Give your answer in minutes. How do I find the SURFACE AREA of the shape below. (I WILL GIVE BRAINLIEST) Which of the following are included in a typical budget? Select all that apply. expenses, actual amount, budget amount, income The term "tee" is used commonly in which among the following sport?a. Tennis b. Poloc. Golfd. Racing Write an argumentative essay about The Strange Case of Dr. Jekyll and Mr. Hyde. Which expression is equivalent to 36 a minus 27? a quadrilateral with all sides congruent and the shape of a baseball diamond is called:rectangle, trapezoid or rhombus(to help you out: I got it wrong on the trapezoid..) A state agency wants to release endangered hawks but needs to determine the best site for their release. The state would like to know how many rabbits are in each area to determine which area has the largest prey population. Create a plan to determine how many rabbits are in each area to determine which site is the best location. Your plan should include specific information on how many animals will be tagged and how many samples should be taken to get the most accurate results. Use your simulation data to help you develop this plan CAN ?? SOMEONE ?? HELP ?? ME WITH THIS??ACTIVITY TITLE: WHEN CRUSTAL PLATES MOVEQUESTIONS:1). what happened when you pushed the two books towards each other? 2). what are your observation and how do you relate them to real life? 3). how would you plan and prepare in case an earthquake occurs in your place? Which of these isdescribed as "the takingof carbon dioxide out ofthe atmosphere andlocking it into glucosemolecules''?A. decompositionC. respirationB. photosynthesisD. biomagnification Simplify2 (3 1) + 3 Which of the following choices was not a result of World War I?A. the creation of IsraelB. the Armenian GenocideC. the spread of an influenza epidemicD.the destruction of most of a generation of young men Which expression is equivalent to -8(x+2)-(x+4) A figure is composed of two cubes. The side lengths of the larger cube are twice the side length of the smaller cube. If the total volume of the cubes is 1,944 m3, what are the side lengths of the two cubes? Enter the smaller dimension first In the first paragraph, the author supports her claim that writers should go to writers workshops (sentence 1) byassessing whether workshops can improve writers ability to judge their own worksassessing whether workshops can improve writers ability to judge their own worksnoting that workshops provide opportunities to write for diverse media, including televisionnoting that workshops provide opportunities to write for diverse media, including televisionexplaining how workshops can help writers learn unpleasant but valuable lessonsexplaining how workshops can help writers learn unpleasant but valuable lessonshighlighting the value of workshops for writers at different stages in their careershighlighting the value of workshops for writers at different stages in their careersdispelling the misperception that workshops may stifle writers creativity Need help with at least these questions. Please. I can give 100 points and brainliest to the person who gives a VALID answer