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

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  

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

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Answers

Answer:

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

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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°

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

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

Answers

Answer:

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

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 :)

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

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

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

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

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

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:

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

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 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:

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%

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.

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.

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

Answers

Don’t click the link

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

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 :)

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)

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

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$

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 :/

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.

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]

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%

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