If f(x) = 3x and g(x) = 1/3x, which expression could be used to verify that g(x) is the inverse of F(x)?

Answers

Answer 1

Greetings from Brasil...

Given the function:

F(X) = 3X

We know that F(X) = Y, so rewriting the function:

Y = 3X

Let's check what is the inverse function of F(X). Just change the X for the Y and vice versa

Y = 3X

X = 3Y     isolating Y

Y = X/3

So the inverse of function F(X) is

F⁻¹(X) = G(X) = X/3


Related Questions

Simplify a - b - [C- (d - e) - f] - g).
O a-b+C - d+e+f-g
O a - b + C-d + e-f+g
O a + b + C-d + e-f+g
O a+b+c+d+e-f+g

Answers

Answer:

a-b-C+d-e+f-g

Step-by-step explanation:

Steps

$a-b-\left(C-\left(d-e\right)-f\right)-g$

Show Steps

$-\left(d-e\right):\quad-d+e$

$=a-b-\left(C+e-d-f\right)-g$

Show Steps

$-\left(C-d+e-f\right):\quad-C+d-e+f$

$=a-b-C+d-e+f-g$

1) Create a box plot comparing the score of the boyd and girls as best you can
2) write a brief report of these results, write the shape, center, and spread.​

Answers

Answer:

dk man

Step-by-step explanation:

b(n) = -1 (2)^n-1 What is the 5th term in the sequence?

Answers

Answer:

The answer is - 16

Step-by-step explanation:

[tex]b(n) = - 1 ({2})^{n - 1} [/tex]

where

n is the number of terms

From the question since we are finding the 5th term

n = 5

Substitute the value into the above formula and solve

We have

[tex]b(5) = - 1({2})^{5 - 1} \\ = - 2 ^{4} [/tex]

We have the final answer as

- 16

Hope this helps you

The purchase price of an iPad is $650. What is the total price if the sales tax rate is 8% and there is a 15% off sale today?

Answers

Answer:

Original cost + tax = Total cost

650+0.08(650) =  

650+52 = $702

Answer:

$599.72

Step-by-step explanation:

8% of 650 is $52 so you add that to $650 which comes up to $702, then you find 15% of the total price, which is $105.30 you subtract that from the total price and you come up with $599.72.

Ohio's license plates have 4 letters followed by 3 numbers. If the same number CANNOT be repeated, how many license plates can be made?

Answers

Answer:

175,760, 000 plates

Step-by-step explanation:

There are 3 spots where there are 26 choices each

(=26^3)

and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:

26^3 x 10^4 = 175,760,000 plates

Hope this helps!

List the smallest three values in the set below. {x | x ∈ N and 20 < x}

Answers

Answer:

21, 22 and 23

Step-by-step explanation:

Given the set A = {x | x ∈ N and 20 < x} , from the set it can be seen that the element of the set are natural numbers where  20< x.

If 20< x

reciprocating both sides will change the sense of the inequality

1/20>1/x

cross multiply

x > 20

This means that the values of x are values grater than 20.

The smallest three values will be the smallest three natural numbers greater than 20 and they are 21, 22 and 23. Note that natural numbers are whole numbers.

Write an equation that represents the line.

Answers

Answer:

Hey there!

The equation would be y=-1/2x-3.5

Hope this helps :)

D=xlx is a whole number)
E = {xlx is a perfect square between 1 and 9)
F={xlx is an even number greater than or equal to 2 and less than 9)
Which of the following is an element of D n (E n F)?
16
3
6
4

Answers

Answer:

Option (4)

Step-by-step explanation:

D = {x| x is a whole number}

D = {1, 2, 3, 4..........}

E = {x | x is a perfect square between 1 and 9}

E = {4}

F = {x | x is an even number greater than 2 and less than 9}

F = {2, 4, 6, 8}

(E ∩ F) = Set of common numbers of E and F

           = {4}

D ∩ (E ∩ F} = Set of common numbers in the sets of D and (E ∩ F)

                   = {4}

Therefore, Option (4) will be the answer.

Evaluate the expression. Drag the answer into the box to match the expression. 27•((3^3)^-1) a. 27 b.3 c.1 D.1/9 100 POINTS help 100!

Answers

Answer:

[tex]\Huge \boxed{\mathrm{C. \ 1}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]27 \cdot ((3^3)^{-1})[/tex]

Multiplying exponents.

[tex]27 \cdot 3^{-3}[/tex]

Rewriting 27 with base 3.

[tex]3^3 \cdot 3^{-3}[/tex]

Adding exponents since bases are the same.

[tex]3^0 =1[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

C.  1

Step-by-step explanation:

27 * {(3³)⁻¹}

=      27    

       3³

=      27    

       27

= 1

An employee earns $2,300 each pay period. He is paid on the first and fifteenth
of each month. How much does he earn in one year?

Answers

Answer:

55,200

Step-by-step explanation:

The employee is paid twice a month. There are 12 months in a year. He is paid 12x2=24 times a year.

Multiply the pay per period by the number or pay periods

=2,300x24

=55,200

56k Salary ($55,200)

Write the slope-intercept form of the line passing through (–8, –5) and (4, 4).

Answers

Answer:

[tex]\Huge \boxed{y=\frac{3}{4} x+1}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the slope through two points.

m = (y2 - y1)/(x2 - x1)

m = (4 - -5)/(4 - -8)

m = 9/12 = 3/4

The slope of the line is 3/4.

Slope-intercept form of a line is y=mx+b. Where m is the slope and b is the y-intercept.

y = 3/4x + b

A point on the line is (4, 4). x = 4 and y =4.

4 = 3/4(4) + b

4 = 3 + b

b = 1

The y-intercept is 1.

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]\huge\boxed{y = \frac{3}{4}x+1}[/tex]

Step-by-step explanation:

Finding the slope (m) first:

Given the coordinates (-8 , -5) and ( 4 , 4 )

Slope = [tex]\sf \frac{Rise}{Run}[/tex]

Slope = [tex]\sf \frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{4 + 8}{4+5}[/tex]

Slope = [tex]\frac{12}{9}[/tex]

Slope = m = [tex]\frac{3}{4}[/tex]

Finding y - intercept (b) :

Taking a coordinate say (4,4)

And putting it in slope intercept form along with b

y = mx+b

Where y = 4 , m = 3/4 and x = 4

4 = (3/4)(4) + b

4 = 3+b

4-3 = b

1 = b

So,

b = 1

Putting m and b now in slope-intercept equation:

y = mx+b

[tex]y = \frac{3}{4}x+1[/tex]

how to find the area​

Answers

Step-by-step explanation:

multiple height by width

Answer:

Area of a square: side × side

Area of a circle: π[tex]r^{2}[/tex]  

Area of a triangle: [tex]\frac{1}{2}bh[/tex] (1/2 × base × height)

pleaseee anybody help me with this question it’s more than one answer

Answers

Hey buddy
3 rd part is correct
Hope it helps :)

Solving these Quadratics for x using factoring 2x^2+5x = 3

Answers

Answer:

x = 1/2 ; x = -3

Step-by-step explanation:

To solve this problem, we first need the quadratic to be set equal to x.  Then, we can use factoring to solve for the values of x.

2x^2 + 5x = 3

2x^2 + 5x + -3 = 3 + -3

2x^2 + 5x + -3 = 0

Note that the first term's coefficient is 2.  This factors into 1 and 2.

Note that the third term's coefficient is -3.  This factors into 3 and -1.

From here, we will simply create the binomial factors for the quadratic.

(2x - 1) (x + 3) = 0

2x - 1 = 0  ;  x + 3 = 0

2x - 1 + 1 = 0 + 1  ;  x + 3 + -3 = 0 + -3

2x = 1  ;  x = -3

2x * 1/2 = 1 * 1/2  ;  x = -3

x = 1/2  ;  x = -3

So our solutions for this quadratic equation are x = 1/2 or x = -3.

Cheers.

Solution:

2x²+5x=3

Using Factorisation method,

2x²+5x-3=0

2x²+6x-x-3=0

2x(x+3)-1(x+3)=0

(2x-1)(x+3)=0

2x-1=0 and x+3=0

x=1/2 and x=-3

Use the commutative and associative properties as needed to simplify the expression. (12+a)+14

Answers

Answer:

26+a

Step-by-step explanation:

(12+a)+14

(12+14)+a

26+a

6. Find the areas of the rectangles with the following side lengths.
a. 5 in and 1/3 in
c. 5/2 in and 4/3 in
b. 5 in and 4/3 in
c. 2/5 in and 4/3 in
d. 7/6 in and 6/7 in
I need an explanation on how you got the answer

Answers

7/6 in and 6/7 in is the answer

A library charges $0.25 a day for a late book plus
a $050 service charge. A book is 7 days late
How much money is owed?
Write a algebraic expression and evaluate​

Answers

Answer:

y = 0.50 + 0.25x

y = 2.25

Step-by-step explanation:

[tex]y = 0.50 + 0.25x\\x = 7\\y = 0.50 + 0.25(7)\\y = 0.50 + 1.75\\y = 2.25[/tex]

where y is the money owed, and x is the number of days a book is late.

There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing of the pieces of fruit at random. 1)What is the probability that all 4 are peaches! 2)what is the probability that all 4 are bananas?

Answers

Answer:

10.2% chance

Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

[tex]\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}[/tex] =  [tex]\frac{11880}{116,280}[/tex] = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

six people working for five days were paid a total of sh 6000.how many more money could the same number of be paid for 12 days???​

Answers

Let’s work out how much they would be paid in one day:
6000/5 = 1200 for six people in one day.

Now to find 12 days, just times 1200 by 12:
1200*12 = 14400 for six people in 12 days.

Now to find the difference:
14400-6000 = 8400 is how much more money they could’ve made

Answer: 8400

Answer:

6000

Step-by-step explanation:

6 people paid for 5 days= 6000

1 person paid for 1 day= 6000/6

                                    =1000

6 people paid for 12 days= 1000x 12

                                         = 12000

12000- 6000= 6000

25-(√16-1)·(3-9)² what is the answer?

Answers

Answer:

-155

Step-by-step explanation:

25-(√16-1)·(3-9)²

25 - (1 * 6 - 1)(3 - 9)^2

(1 * 6 -1)(3 - 9)^2 = 6^2 * 5

25 - 6^2 * 5

5 * 6^2 = 180

25 - 180

= -155

The answer to the given expression 25-(√16-1)·(3-9)² will be -83.

What is an expression?

A mixture of variables,n umbers, addition, subtraction, multiplication, and division are called expressions.

A mathematical expression serves as proof that two mathematical expressions are equal.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

25-(√16-1)·(3-9)²

Since √16 = 4

⇒ 25-(4-1)·(3-9)²

⇒ 25 - 3(-6)²

⇒ 25 - 3 ×36

⇒ -83

Hence, the answer to the given expression 25-(√16-1)·(3-9)² will be -83.

To learn more about expression

https://brainly.com/question/14083225

#SPJ2

Solve for a: 3/5a = 1/4​

Answers

Answer: [tex]a=5/12[/tex]

Multiply both sides by 5/3

[tex](5/3)*(3/5a)=(5/3)*(1/4)\\a=5/12[/tex]

Answer:

a=12/5=2.4

Step-by-step explanation:

We cross multiply first

3/5a=1/4

5a×1=4×3

5a=12

Divide both sides by 5

5a/5=12/5

a=12/5

a=2.4

Simplify (9x-1)^-1/2 - (x+2)(9x-1)^-1/2

Answers

Answer:

Step-by-step explanation:

(9x-1)^-1/2 - (x+2)(9x-1)^-1/2

= (9x-1)^-1/2( 1 - (x + 2))

= (9x-1)^-1/2(-1 - x)

= -(x + 1)(9x-1)^-1/2

= -(x + 1) / (9x-1)^1/2

Which of the following is the definition of the Distributive Property?
O A. For all real numbers a, b, and c, if a = b, then a+c=b+C.
O B. For all real numbers a, b, and c with c# 0, if a = b, then ca = cb.
O C. For all real numbers a, b, and c, a(b + c) = ab + ac.
a
OD. For all real numbers a, b, and c with c# 0, if a = b, then
-
C
nt

Answers

Answer:

Option C

Step-by-step explanation:

The distributive property states that:

[tex]a(b+c)=ab+ac[/tex]

You have to multiply 'b' and 'c' by 'a' to completely distribute.

Example using Distributive Property:

[tex]4(3+5)\\\\\rightarrow\text{Distribute: }4(3+5)=4(3)+4(5)\\\\4(3+5)=12+20\\\\4(3+5)=32[/tex]

Hope this helps.

Answer:

I'm pretty sure its C.

Step-by-step explanation:

cause a would be distributed into b and c. so

a(b+c)

ab +ac

which will then become ab+ac

im bad at explaining sorry

x + 2y = 33
x-y = 11

Answers

Answer:

[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]

Step-by-step explanation:

Solve by Elimination

[tex]\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}[/tex]

[tex]\begin{bmatrix}x+2y=33\\ -3y=-22\end{bmatrix}[/tex]

[tex]-3y=-22[/tex]

Divide -3 on both sides

[tex]y=\frac{22}{3}[/tex]

[tex]x+2\cdot \frac{22}{3}=33[/tex]

[tex]\mathrm{Subtract\:}2\frac{22}{3}\mathrm{\:from\:both\:sides}[/tex]

[tex]x+2\cdot \frac{22}{3}-2\cdot \frac{22}{3}=33-2\cdot \frac{22}{3}[/tex]

[tex]x=\frac{55}{3}[/tex]

[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]

"When comparing the means of two independent samples, the population standard deviations will almost always be"

Answers

Answer:  Check this answer!

Step-by-step explanation:

                                                   The comparison of two independent population means is very common and provides a way to test the hypothesis that the two groups differ from each other. Is the night shift less productive than the day shift, are the rates of return from fixed asset investments different from those from common stock investments, and so on? An observed difference between two sample means depends on both the means and the sample standard deviations. Very different means can occur by chance if there is great variation among the individual samples. The test statistic will have to account for this fact. The test comparing two independent population means with unknown and possibly unequal population standard deviations is called the Aspin-Welch t-test.

In simple terms, The population standard deviation is a parameter, which is a fixed value calculated from every individual in the population. A sample standard deviation is a statistic. This means that it is calculated from only some of the individuals in a population. Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population

Because: reason:

                                   Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population.

HOPE IT HELPS YOU, IF IT HELPS PLEASE MARK THE BRAINLIEST BECOZ IT TOOK ME QUITE WHILE TO WRITE TO YOU...

The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks? –270 cents per week –90 cents per week –87 cents per week –30 cents per week

Answers

Answer:

30 cents per week

Step-by-step explanation:

The average is the sum of the numbers divided by how many there are.

60 + 10 + 20 = 90

90/3 = 30

Answer:

-30 per cents week !

Step-by-step explanation:

The length of a new rectangular playing field is 4 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 488 yards, what are its dimensions?​

Answers

Answer:

w = 48

w = 196

Step-by-step explanation:

Width = w

Length = l = 4 + 4w

Use the values for length and width above along with the given value for perimeter in the formula for perimeter.

P = 2l + 2w

488 = 2(4 + 4w) + 2w

488 = 8 + 8w + 2w

488 = 8 + 10w

488 - 8 = (8 + 10w) - 8

480 = 10w

(480)/10 = (10w)/10

48 = w

w = 48

The width is 48 yards.  Use this value to solve for length.

l = 4 + 4w

l = 4 + 4(48)

l = 4 + 192

l = 196

The length is 196 yards.

la empresa Delta Energy cobra a sus consumidores de energía eléctrica una tarifa de $5 por mes más $0,10 por cada kilowatt-hora. exprese el costo mensual "C" en función de la energía "E" consumida.

Answers

Answer:

C=0,10E+5

Step-by-step explanation:

De acuerdo a la información dada, la expresión debe indicar que el costo mensual "C" es igual al resultado de multiplicar la energía "E" consumida por el precio de cada kilowatt-hora y a esto se le debe sumar la tarifa por mes. De acuerdo a esto, el costo mensual se debe expresar de la siguiente forma:

C=0,10E+5

I don’t have a clue on what to do need help

Answers

Answer:

5x+2.25v=c

Step-by-step explanation:

$5 member fee and 2.25per video add then mutiply

Choose the appropriate symbol to indicate the relationship
between the numbers:
24___240
O A. 24 < 240
O B. 24 >240
O C. 24 = 240

Answers

Answer:

a

Step-by-step explanation:

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