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5/4(-20) + 26 =

The inverse of a function reverses the operation of a function

The statement that provides the correct analysis of Maggie's claim is the following option;

Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)

Question: The functions in the question are presented as follows;

[tex]g(x) = \dfrac{x}{3} - 4[/tex]

f(x) = 3·x + 4

Required:

The statement that provides a correct analysis of Maggie's claim

Solution:

The inverse of f(x) is found as follows;

y = 3·x + 4

[tex]x = \dfrac{y - 4}{3}[/tex]

Therefore;

[tex]f^{-1}(x) = \dfrac{x - 4}{3}[/tex]

The inverse of a function above was found by making x the subject of the

function f(x), therefore, when the inverse f⁻¹(x) is substituted into all

occurrence of x in f(x), we get x

However, when g(x) is substituted into every occurrence of x in g(x), we get;

[tex]f \left (g(x) \right) = 3 \times \left (\dfrac{x}{3} - 4 \right)+ 4 = x - 8 \neq x[/tex]

Therefore, the given function g(x) is not the inverse of the function f(x) and the correct option is as follows;

Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)

Learn more about inverse of a function here:

https://brainly.com/question/4218791

Answer:

Step-by-step explanation:

i graphed it and made a table for ya :)

Answer:

Step-by-step explanation:

At a Baseball Match.

35% of spectators are New York Yankees fan

The rest are Boston Red Sox fan = 100 - 35% = 65%

30% of fans in both teams are females.

30% of 35% of spectators are New York Yankees fan = 0.105 females

30% of 65% of spectators are Boston Red Sox fan = 0.195 females

The number of males in New York Yankees fan = 1 - 0.105 females

= 0.895 males

The number of males in Boston Red Sox fan = 1 - 0.195 females

= 0.805 males

Given :

An airplane cuts through the morning sky for every 1,000 feet that he climbs the outside temperature drops 20° F.

To Find :

The rate of the temperature change in degrees Fahrenheit per foot.

Solution :

Let, rate of the temperature change in degrees Fahrenheit per foot is x.

So,

[tex]x = \dfrac{20}{1000}\ ^oF/foot\\\\x = 0.02 ^oF/foot[/tex]

Therefore, rate of the temperature change in degrees Fahrenheit per foot is 0.02.

Hence, this is the required solution.

Answer:

this is really late, but for the people who need it now the real answer is

Step-by-step explanation:

The airplane is rising, so the change in elevation is +1,000 feet. The temperature is dropping, so the change in temperature is -20 degrees Fahrenheit.

-------------------------------------------------------------------------------------------------------------this is edmentum's sample answer so make sure to word it differently.

Answer:

56 and 16

Step-by-step explanation:

Set up equations!

x+y=72

x-y=40

You can solve for this by crossing out y as it becomes eliminated. You are left with 2x= 112. Then solve, so x= 56. Take 56 for x and plug it into one of the equations and solve for y. 56-y=40-----> y= 16. The numbers are 16 and 56.

Using a system of equations, it is found that the numbers are 16 and 56.

Their sum is of 72, thus:

[tex]x + y = 72 \rightarrow y = 72 - x[/tex]

Their difference is of 40, thus:

[tex]x - y = 40[/tex]

Since [tex]y = 72 - x[/tex]

[tex]x - (72 - x) = 40[/tex]

[tex]2x = 112[/tex]

[tex]x = \frac{112}{2}[/tex]

[tex]x = 56[/tex]

Then:

[tex]y = 72 - x = 72 - 56 = 16[/tex]

The numbers are 16 and 56.

A similar problem is given at https://brainly.com/question/24778333

Answer:

that means it goes through the y axsis

Step-by-step explanation:

it is a y entercept sorry wrong thing

Answer:

It is y = mx + b.

m is slope, x is the number of times slope occurs, b is y intercept.

An example would be y = 3x + 4. The "+" could also be a "-".

Please mark me Brainliest, I need it to move onto the next level.

Answer:

14k-8

Step-by-step explanation:

8k - 2(4-3k)

distributive property

8k - 8  + 6k

add like terms

8k + 6k -8

14k - 8

14k - 8

If anyone will look for the value of k, k is 4/7 btw but the answer to simplify the expression would be 14k-8.

Answer

14k-8

Step-by-step explanation:

combine like terms

Answer:

Step-by-step explanation:

2/3(6x-3)>6

4x-2>6

4x>8

x>2

Anything more than 2, so 3,4,5, etc

Answer:48 dollars

32 divided by 8= 4 dollars each.

12 books multiply by 4 dollars a book to get 48 dollar.

Answer:

$48

Step-by-step explanation:

You take 32 divided by 8 and get 4. Now take that 4 times 12 and get 48. Which makes it so you get 12 books for $48 dollars.

Answer:

La oferta 2 oferce el mayor valor final. Es la que debería ser aceptada.

Step-by-step explanation:

Dada la siguiente información:

Oferta 1:

$150.000 hoy y $200.000 dentro de 10 años.

Oferta 2:

$30.000 al final de cada uno de los próximos 10 años.

Tasa de interés= 14%

Para decidir cuál de las dos ofertas es mejor, debemos calcular el valor final:

Oferta 1:

VF= VP*(1+i)^n

VF= 150.000*(1,14^10) + 200.000

VF= $2.261.523,48

Oferta 2:

VF= {A*[(1+i)^n-1]}/i

A= cash flow anual

VF= {30.000*[(1,14^20) - 1]} / 0.14

VF= $2.730.747,83

Answer:

P=2.25x-----------1

M=2.25y----------2

Step-by-step explanation:

Step one:

given data

we are told that the cost of pears= $2.25 each

       and cost of mango= $2.25 each

Step two:

the chef bought x pears and y mangoes

let the total cost of pears be P

and for mango be M

P=2.25x-----------1

M=2.25y----------2

Answer:

7

Step-by-step explanation:

Answer:

84:48

Step-by-step explanation:

7:4 = x:48

7*48 = 4x

7*48/4 = x

x = 7*12 = 84

So, the equivalent ratio is 84:48

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Answer:

The other answer is right. I got it wrong.

Step-by-step explanation:

Answer:

The rate of change in graph b is greater than the rate of change in graph a

Step-by-step explanation:

The rate of change is slope. The rate of change in B is three, and the rate of change in A is 2.

Answer:

d

Step-by-step explanation:

...........

..........

correct ans is D

Answer:

Robin's basket!

Step-by-step explanation:

Ted's

7 1/4 * 5 = 36 1/4

Robin's

6 1/2 * 6 = 39

Answer:

[tex]T(x)=84-2x[/tex]

Step-by-step explanation:

Linear Modeling

The initial temperature outside is 84 degrees.

We are told the temperature drops 2 degrees every hour.

Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.

That drop is subtracted from the initial temperature to produce the linear model as follows:

[tex]\mathbf{T(x)=84-2x}[/tex]

This is the linear equation that represents the described situation.

Answer:  I will help you but if you try first.

Step-by-step explanation:

Answer:

y = 4x + 3

[ x ][ -2 ][ -1 ][ 0 ][ 1 ][ 2 ]

[ y ][ -5 ][ -1 ][ 3 ][ 7 ][ 11 ]

y = 4(-2) + 3 y = 4(-1) + 3 y = 4(0) + 3 y = 4(1) + 3 y = 4(2) + 3

y = -8 + 3 y = -4 + 3 y = 0 + 3 y = 4 + 3 y = 8 + 3

y = -5 y = -1 y = 3 y = 7 y = 11

Answer:

3rd number line

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

they are not the same answer so 30/240 = 50/-160 is false

Answer:

50 Zeros

Step-by-step explanation:

Since 10 is the exponent number and 5 is the base, then 5 would be written out 10 times but since you multiply that by 5, it's 50 zeros in total

Answer:

5 zeros because 5 × 10 is 50 if you multiply 5 by 10 5 times then there are 5 zeros.

Step-by-step explanation:

Answer:

10 to the 3rd power!!!!

Answer:

10 with an exponent of 3 i believe.

Step-by-step 10^2 * 10 = 10^3

Answer: greater than or <

Step-by-step explanation:

It’s < on edgen. For the comparing unlike fractions using models section.

Answer: To find the percentage of the down payment to the purchase price, just multiply the down payment by 100 and divide the result by the   purchase

i.e 15,000 x 100/ 150,000= 10%

Also for the second part, multiply the down payment by 100 and divide by the purchase price

i.e 67,500 x 100 / 150,000= 45%

Step-by-step explanation:

Step-by-step explanation:

8x-7+3x-11=180

11x-18=180

x=18

2y+23=4y+8

2y=15y=15/2

4y+8=3z²-5

y=15/2=> 30+8=3z²-5

43=3z²

z=±√(43/3)

Answer:

- 81/2  or -40 1/2

Step-by-step explanation:

3 4/5 (-10)-2 1/2

Answer:

Communitive property of multiplication :)

Step-by-step explanation:

Answer:

[tex]\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1[/tex]

Step-by-step explanation:

Given the expression

[tex]\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)[/tex]

Remove parentheses:  (a)=a

[tex]=-t^4-5t^3-10t^2+9t^3+3t^2-1[/tex]

Group like terms

[tex]=-t^4-5t^3+9t^3-10t^2+3t^2-1[/tex]

Add similar elements        

[tex]=-t^4-5t^3+9t^3-7t^2-1[/tex]         ∵ [tex]-10t^2+3t^2=-7t^2[/tex]

Add similar elements        

[tex]=-t^4+4t^3-7t^2-1[/tex]                  ∵  [tex]-5t^3+9t^3=4t^3[/tex]

Thus, the equivalent expression in simplified form:

[tex]\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1[/tex]