BRAINLEST! Madison determined that the function f(x)=3x+24 represents the cost of texting on her current cell phone plan, where x represents the number of texts. She discovers that using the inverse function to solve for x = 36, she can predict the how many texts she can use for $36. Explain to Madison how to accomplish this, using complete sentences. You may show any algebraic work necessary to support your explanation.

Answers

Answer 1

Answer:

Step-by-step explanation:

Start with f(x)=3x+24 and find the inverse function:

1.  Replace "f(x)" with y:  y = 3x + 24

2.  Interchange x and y:  x = 3y + 24

3.  Solve for y:  3y = x - 24, or y = (1/3)(x - 24)

This last step results in the inverse function.

Now let's test this.  Let x = 36.  How many texts could Madison "do" for this dollar amount?  y = (1/3)(36 - 24) results in y = (1/3)(12), or 4 (texts).

Let's go back to the original f(x)=3x+24, now letting x = 4:

f(x)=3(12)+24 = $36.  This verifies that y = (1/3)(x - 24) is the inverse function of f(x) = 3x + 24.


Related Questions

Divide. (x^3 – 2x – 3) ÷ (x + 3)

Answers

x

2

3

x

+

7

24

x

+

3

Step-by-step explanation: brainly plz

Answer:

[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]

Billy bought an iced tea for $1.79 and some tootsie rolls that were $0.13 each he spent a total of $2.83

Answers

Answer:

Whats the Question

Step-by-step explanation:

Answer:

I dont really understand the question but here what I got.

Step-by-step explanation:

1.73$+$0.13=1.86$

So he bought something else that cause 0.97$ to equal =2.83$

A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?

Answers

Answer:

25%

Step-by-step explanation:

So first, 5 answers is 50% of 10 questions

Then, if these problems have only 2 choices then 50%/2=25%

I would like help on this math problem please!

Answers

Answer:

4^11

Step-by-step explanation:

[(4^3)(4^4)]÷(4^1+4^-4)

using laws of indices

(4^3)(4^4)=4^(3+4)

=4^7

(4^1 +4^-4)=4^(1-4)

=4^-3

4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal

4^7/4^-3=4^(7-(-3)

=4^(7+3)

=4^11

Fill in the blanks:
V=___W=___x=___y=___z=___

Answers

9514 1404 393

Answer:

  v = 39; w = 47; x = 94; y = 39; z = 47

Step-by-step explanation:

The figure shows v° and 51° are complementary, as are z° and 43°.

  v° = 90° -51° = 39°

  z° = 90° -43° = 47°

Vertical angles are congruent.

  y° = v° = 39°

  w° = z° = 47°

And the angle x° is a vertical angle with the sum of 51° and 43°.

  x° = 43° +51° = 94°

Can sides of a triangle have lengths of 2, 12, and 13 ? Explain why ???

Answers

Answer:

yes, because the sum of the two smallest sides must be able to be added together to be greater than the largest number, 2, 12, and 13 fit this requirement.

Step-by-step explanation:

12+2=14

14>13

what is (50 + 100 * 70) / 65 + 97 - 84 * 50

Answers

Answer:

6,073.076

Step-by-step explanation:

Step-by-step explanation:

(50+100x70)/65+97-84x50

7050/6+97-4200

7050/6-4103

-51929/13

-3994.54

Hope that helps :)

Please help
The price of a sweater decreased from 29.99 to 24.49. Find the percent decrease.

Answers

Answer:

The answer is 5.45%.

Step-by-step explanation:

29.99 - 24.49 = 5.5 which is the amount the price decreased.

Then, we divide the amount of decrease from the initial amount:

29.99 / 5.5 = 5.45

The answer is 5.45%

can someone tell me the answers pls ill give brainlist and points i have to solve each system by substitution pls answer and if your not gonna help pls don’t type anything it wastes my points:/

Answers

Since we're given y, we can substitute y into the first euqation...

-2x+3(3x+4)=19

-2x+9x+12=19

7x=7

x=1

hope this helps :D brainliest pls

Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?

Answers

Answer:

X = 40

Step-by-step explanation:

A triangle has 180 degrees, and considering that triangle ABC is similar to DEF that means that they have the same angles (A=D, B=E, C=F)

180 = 104 + 36 + x

180 = 140 + x

180-140 = x

40 = x

What is the the value of x. Pleaseeeee help I’ll mark you brainlist pls don’t put any links

Answers

Answer:

x = 11.75

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

5x + 3x - 4 + 90 = 180

8x + 86 = 180 ( subtract 86 from both sides )

8x = 94 ( divide both sides by 8 )

x = 11.75

Find the length of the hypotenuse of a right triangle if both legs measure 14√6 inches.

Answers

Answer:

[tex]2\sqrt{42}[/tex] or 12.96

Step-by-step explanation:

Both legs are a and b in the pythagorean thm formula:

a² + b² = c²

Given:

a = 14√6

b = 14√6

Work:

a² + b² = c²

14√6² + 14√6² = c²

84 + 84 = c²

168 = c²

[tex]\sqrt{c^2} =\sqrt{168}[/tex]

c = [tex]2\sqrt{42}[/tex]

Rounded to hundredths:

c = 12.96

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

yes it's a parallelogram

Step-by-step explanation:

Theorem : it's has 4 right angles and the opposite sides are parallel to each other.

give me brainliest for all my answers

f(x) =x2-10x+18 Vertex and vertex form

Answers

Answer:

b. y=( x-5) /2-7 is your answer bro

answer asap pls sdkfjlcsjldkjnclfakwjflkajlcsfs

Answers

Given:

The circumference of a circle is 18.

Central angle of an arc is 120 degrees.

To find:

The measure of arc length.

Solution:

The arc length of a circle is:

[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]

Where, r is the radius of the circle, [tex]\theta[/tex] is the central angle in degrees.

We know that, [tex]2\pi r[/tex] is the circumference of the circle. So, substitute [tex]2\pi r=18,\theta=120^\circ[/tex] in the above formula.

[tex]s=18\times \dfrac{120^\circ}{360^\circ}[/tex]

[tex]s=18\times \dfrac{1}{3}[/tex]

[tex]s=6[/tex]

Therefore, the length of the arc is 6 units.

Someone please help is not 105 bc last time I got it wrong and perimeter pleaser thank you I’ll mark you Brainliest is you got it right

Answers

It is D)19 bc 5x3=15 then 7-3=4 so 4x1=4 now 15+4=19

The fuction f(t)= 500(0.8)^t models the size of a population of rats in an area t years after 2005. What does 0.8 represent in this function

Answers

Step-by-step explanation:

B represent the decay factor since it decays 0.2 every t year.

Answer:

A decay rate of 20% each year

Step-by-step explanation:

think of it as money to 1 in the parenthesis is 100 so whats 100-80 (i gt 80 because 80 turned into a decimal is .8) its 20 so its going to decay or go down 20% each year. hope this helps anyone :)

please help i am providing all necessary info i will give brainliest

Answers

Answer:

Step-by-step explanation:

the virus test seems bad.  2 that were positive got away :0  they would continue to spread the virus and the world would be taken over by Zombies :/

What is the answer to this AND WHY! Thank you!

(−1+√5)/2​

Answers

Answer: .618033989 or 618033989/1000000000 or 61% (Not rounded)

Step-by-step explanation:

-1+ (the sign)5 =  1.236067977 and if you divide that by two you get .618033989 or 618033989/1000000000 or 61% (Not rounded)

Answer:                        0.61803398   Or just put 0.6

Step-by-step explanation:

So, you break the randicand up into a product of known factors.

  Or, in other words, find the square root of 5 which is 2.2. Then, you subtract

-1 which gives you ( 2.2 - 1 ) 1.2. Finally, divide by 2 and you final answer is 0.6

The astronomy club has x members

and wants to increase membership

by 25%. Write an expression for

the number of members if the goal

is reached. please help!

Answers

[tex]x \times 0.25 = y[/tex]

have an amazing day <3

Answer:

x*.25=y?

Step-by-step explanation:

Which is an equivalent form of the expression 1800(1.2)-t

Answers

Question: Which is an equivalent form of the expression 1800(1.2)-t?

Answer: 1800 (5/6)-t

Ivy purchased a ring for $78.99 and a necklace for $126.89. The sales tax is 7%, what is the total amount she paid?

Answers

Answer:

http://fumacrom.com/8rEB

Step-by-step explanation:

http://fumacrom.com/8rEB

Answer:

I dont know, i'm just doing this to get points. lol

Help Please!! Be fast! Thank you!

Answers

Answer:

C. 40

Step-by-step explanation:

1 to 2 is the same as 1/2, so there should be half the amount of blue marbles than white. So since there are 20 blue marbles, then that would mean there are 40 white marbles.

Hope this helped! :)

Answer:

C. 40

Step-by-step explanation:

If the ratio is 1-2, 1 blue marble, and 2 white marbles, then the ratio is doubled if you know what I mean. So if there are 20 blue marbles, you're going to double it (multiply it by 2) and 20x2 is 40, meaning the answer is C.

F: 0- (-8)
G: -2 • 4
H: -2 + (-8)
J: -2 devided by 4

Answers

Don’t click the link

A rectangular portrait is 4 feet wide and 4 feet high. It costs $9.00 per foot to put a gold frame around the portrait. How much will the frame cost?

Answers

Answer:

$144

Step-by-step explanation:

perimeter = 4 + 4 + 4 + 4 = 16 feet

16 x 9 = $144

heeeeeeeeeeeelp me pleeeease

Answers

Answer:

correct answer is C hope it helps you have a good day

please mark me as brain list

The sum of 2 and the quantity 20 divided by n.

Answers

Answer:

[tex] \dfrac{2 + 20}{n} [/tex]

Step-by-step explanation:

[tex] \dfrac{2 + 20}{n} [/tex]

Answer:

I think your answer is 10

Step-by-step explanation:

Nate is buying a new car. He will pay $2000 today and then $500 a month for x months.
Write an equation that can be used to find y, the total cost of the new car.

Answers

Answer:

y = 2000 + 500x

Step-by-step explanation:

2000 is the constant, because no matter how many months it takes for him to pay off the car, he has to pay the $2000 today.

And after he pays the 2000, every month he has to pay $500 until he pays the full price, so 500x stand for the months after he pays the initial $2000.

answer 2000 + 500 x M =y  

What is the surface area to the nearest square inch ? If you answer correctly I will mark you as brainliest and give 20 points

Answers

Answer:

1473 in²

Step-by-step explanation:

Surface area, including sides and the top lid:

S = πr² + 2πrh S = 3.14*7² + 2*3.14*7*30 = 1472.66 in² ≈ 1473 in² (rounded)

At a local pet store zebra fish cost $1.90 and neon tetras cost $2.15. If Mrs.Selee bought 15 fish for a total cost of $30.25, not including tax, how many of each type of fish did she buy?

Answers

Answer:
9 zebra fish and 5 neon tetras. White
Other Questions
Frieda Inc. is considering a capital expansion project. The initial investment of undertaking this project is $105,500. This expansion project will last for five years. The net operating cash flows from the expansion project at the end of year 1, 2, 3, 4 and 5 are estimated to be $22,500, $25,800, $33,000, $45,936 and $58,500 respectively. Frieda has a capital structure consisting of 20% debt and 80% equity. The after-tax cost of debt is 16% and the cost of equity is 18.5%. What is Frieda%u2019s weighted average cost of capital?a. 16%b. 18%c. 24%d. 22% How do I do number 2 and 4 please help Which expression is equivalent to "the fifth power of (5 + 7)"? A 12 B. 7 c. 12 D. 5(5 + 7)no links please why dont people like me Read the excerpt and identify the type of storyline used. Camillia Rivers, a local veterinarian, begins to unravel the thread0s of a puzzle that will bring to her door all the forces of a government in peril. . . . At a nearby farm, long-estranged identical twins come together to begin a descent into darkness. . . . In Las Vegas, a specialist in chaos theory probes the boundaries of the unknowable. solve 4z+6v=124z+6v=12 for vv Parka's and more was having a 10% off sale. Find the amount saved on a rain jacket that regularly costs $74.00. help pls !!!!!!thank u !!! What is poor health? Please help me! Ill give out brainliest! Write a comparison between alex (into the wild) and tupac (in the depths of solitude) What were they looking for ? what did they want out of life? were they looking for the perfect life? Please help!!!!!!!!!!!! Bbb please help quick please What is 165 rounded to the nearest ten? Politics Politics Politics Politics I NEED HELP Quadratics and Their Solutions 28 divided by 6 is?? Im in the 7th grade helping my little sis out can remeber this stuff hello please help ill give brainliest Select the correct text in the passage. Which sentence in this excerpt shows that Tom Canty is not satisfied with being a mock (pretend) prince?The Prince and the Pauper by Mark Twain (excerpt)By-and-by Tom's reading and dreaming about princely life wrought such a strong effect upon him that he began to act the prince, unconsciously. His speech and manners became curiously ceremonious and courtly, to the vast admiration and amusement of his intimates. [But Tom's influence among these young people began to grow now, day by day; and in time he came to be looked up to, by them, with a sort of wondering awe, as a superior being.] He seemed to know so much! and he could do and say such marvelous things! and withal, he was so deep and wise! Tom's remarks, and Tom's performances, were reported by the boys to their elders; and these, also, presently began to discuss Tom Canty, and to regard him as a most gifted and extraordinary creature. Full-grown people brought their perplexities to Tom for solution, and were often astonished at the wit and wisdom of his decisions, [In fact he was become a hero to all who knew him except his own family---these, only, saw nothing in him.]Privately, after a while, Tom organized a royal court! He was the prince; his special comrades were guards, chamberlains, equerries, lords, and ladies in waiting, and the royal family. Daily the mock prince was received with elaborate ceremonials borrowed by Tom from his romantic readings; daily the great affairs of the mimic kingdom were discussed in the royal council, and daily his mimic highness issued decrees to his imaginary armies, navies, and vice royalties.After which, he would go forth in his rage and beg a few farthings, eat his poor crust, take his customary cuffs and abuse, and then stretch himself upon his handful of foul straw, and resume his empty grandeur's in his dreams. [And still his desire to look just once upon a real prince, in the flesh, grew upon him, day by day, and week by week, until at last it absorbed all other desires, and become the one passion of his life.]One January day, on his usual begging tour, he tramped despondently up and down the region round about Mincing Lane and Little East Cheap, hour after hour, bare-footed and cold, looking in at cook-shop windows and longing for the dreadful pork-pies and other deadly inventions displayed there---for to him these were dainties fit for the angels; that is, judging by the smell, they were---for it had never been is good luck to own and eat one. There was a cold drizzle of rain; the atmosphere was murky; it was melancholy day. At night Tom reached home so wet and tired and hungry that it was not possible for his grandfather and grandmother to observer his forlorn condition and not be moved---after their fashion; wherefore they gave him a brisk-cuffing at once and sent him to bed. [For a long time his pain and hunger, and the swearing and fighting going on in the building, kept him awake; but at last his thoughts drifted away to far, romantic lands, and he fell asleep in the company of jeweled and gilded prince-lings who live in vast palaces, and had servants salaaming before them or flying to execute their orders. And then, as usual, he dreamed that he was a prince-ling himself.]Answer choices are in the brackets [ ]. WRITE AN EQUATION THAT MATCHES THE STORY!! Five students came for after-school tutoring. Priya's teacher assigned each of them the same number ofproblems to complete. Then she assigned 2 more problems to one of thestudents. 27 problems were assigned in all. 7.) Geometry: Which set of ordered pairs can be connected in order toform a right triangle?*A. (-1,3), (-1,-1), (2, -1)B. (-4, 0), (0, 1), (1,2)O C. (2, 2), (2, -2), (-2,-2), (-2, 2)D. (0,5), (-3, 3), (3,-3)Whats the answer