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

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

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

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]

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

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)

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.

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

heeeeeeeeeeeelp me pleeeease

Answers

Answer:

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

please mark me as brain list

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%

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

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 :/

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

Answers

Answer:

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

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

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

Answers

Don’t click the link

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$

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.

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 :)

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

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°

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%

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

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 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:

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

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

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

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

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 :)

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  

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:

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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. 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