If the sales tax of a state is 7.55% what is the price of a $125 pair of shoes?

Answer:

log 3 x +1 = f^-1(x)=[tex]\frac{10^x^-^1}{3}[/tex]

log 3 (x-1) = f^-1(x)=[tex]\frac{x}{log(3)} +1[/tex]

log 3 x - 1 = f^-1=[tex]\frac{10^x^+^1}{3}[/tex]

The inverse of the function f(x) = 3x - 1 is f⁻¹(x) = (x + 1)/3.

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, f(x) = 3x - 1.

Or y = 3x - 1.

3x = y + 1.

x = (y + 1 )/3.

f⁻¹(x) = (x + 1)/3.

learn more about the inverse of functions here :

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Answer:

Step-by-step explanation:

your answer will be 0.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following functions :

sin^4 (x) = f(g(x)) where f(x) = and g(x) =

Sin⁴(x) = sin(x)⁴

g(x) = sin(x),

f(x) = f(g(x)) = f(sin(x)⁴) = x⁴

2.) sin(sin(x)) = f(g(x)) where f(x) = , and g(x) =

g(x) = sin(x) ; sinx = x

g(x) = sin(x)

f(x) = f(g(x)) = sin(x) ; sin(x) = x

f(x) = f(g(x)) = f(sin(x))

f(x) = sin(x)

3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .

Here,

g(x) = x⁴

f(x) = f(g(x)) = sin(g(x)) = sin x

f(x) = sinx

The functions are illustrations of composite functions, where multiple functions are combined in one.

(1) sin^4 (x) = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin^4(x)[/tex]

So, we have:

[tex]f(g(x)) = (\sin(x))^4[/tex]

From the above equation, we have:

[tex]g(x) = \sin(x)[/tex]

So, we have:

[tex]f(g(x)) = (g(x))^4[/tex]

Substitute x for g(x)

[tex]f(x) = x^4[/tex]

Hence, the functions are:  [tex]f(x) = x^4[/tex] and [tex]g(x) = \sin(x)[/tex]

2.) sin(sin(x)) = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin(\sin(x))[/tex]

From the above equation, we have:

[tex]g(x) = \sin(x)[/tex]

So, we have:

[tex]f(g(x)) = \sin(g(x))[/tex]

Substitute x for g(x)

[tex]f(x) = \sin(x)[/tex]

Hence, the functions are:  [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = \sin(x)[/tex]

3. sin x^4 = f(g(x))

Rewrite the above function as:

[tex]f(g(x)) = \sin(x^4)[/tex]

From the above equation, we have:

[tex]g(x) = x^4[/tex]

So, we have:

[tex]f(g(x)) = \sin(g(x))[/tex]

Substitute x for g(x)

[tex]f(x) = \sin(x)[/tex]

Hence, the functions are:  [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = x^4[/tex]

Read more about composite functions at:

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Answer:

for the first question, the answer is B

6 × 6 (faces of a dice) = 36, there are 6 way to add 1-6 to 7 (1+6, 2+5, 3+4), so the answer is 6/36 or simplified into 1/6

for the second question, the answer is B

3/4 = 15/20, 3/5 = 12/20 (least common multiple is 20)

15/20 - 12/20 = 3/20

Answer:

draw the line from the -6 in the y axis to the 3 in the x axis

-7x=63

-x=63/7

-x=9

-9x

Answer:3.5:80

Step-by-step explanation:

common sense

Step-by-step explanation:

Hey there!!

You can simply use midpoint formulae to find midpoint of the coordinates.

Here, Given that;

G(3,3) and H(-7,7).

Using midpoint formulae,

[tex]midpoint \: of \: gh = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex])

[tex]midpoint \: of \: gh = (\frac{3 - 7}{2} ,\frac{3 + 7}{2} [/tex])

After simplifying it we get,

= (-2,5).

Therefore, midpoint of GH is M(-2,5).

Hope it helps....

Answer:

C

Step-by-step explanation:C

Answer:

agree with previous answer

Answer:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

Step-by-step explanation:

Given the following numbers, [tex] \sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3} [/tex], let's express each as whole or decimal numbers, to find out the least to the greatest.

[tex] \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} [/tex]

[tex] \frac{3}{2} = 1.5 [/tex]

[tex] \sqrt{5} [/tex] ≈ 2.2

2.5 (already in decimal form)

[tex] \frac{5}{3} [/tex] ≈ 1.7

From the least to the greatest, we have:

[tex] \sqrt{\frac{9}{4}} [/tex] < [tex] \frac{5}{3} [/tex] < [tex] \sqrt{5} [/tex] < 2.5

Answer:

you cant solve that y=x-6 is not a solve able question it's just a function,do you mean how to graph it

Answer:

125/y

Step-by-step explanation:

Answer:

[tex]\frac{125}{y}[/tex]

Step-by-step explanation:

If you have 125 pencils and you have [tex]y[/tex] amount of containers, then you want to get an equal number of pencils in each container.

What operation do we know of that finds an equal distribution across a certain number of groups? Division! That can help us equally split a number into how many parts we need.

Division can be represented in two ways: with a division sign [tex]\div[/tex] or as a fraction [tex]\frac{x}{y}[/tex].

You'll find the that the division sign will be used a lot less during Algebra and you'll mainly stick to fractions.

If we are dividing 125 into [tex]y[/tex] groups, then our fraction is [tex]\frac{125}{y}[/tex].

Hope this helped!

it is 3.875

if you subract the two fraction it makes 31/8. then devide it which makes 3.875

Answer:

x = 8/3

Alternative form

x = 2 2/3, x = 2.6

Step-by-step explanation:

First, simplify the equation using cross-multiplication

3x = 8

then divide both sides of the equation by 3 and there's your answer

x = 8/3

Answer:

x = 6

Step-by-step explanation:

find the x value for one triangle then times it by 2

Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

[tex]c=\sqrt{13}[/tex]

[tex]a=2[/tex]

Square c and subtract a from it.

[tex]13-4 = 9[/tex]

square root 9 to get have of the x value, then multiply it by 2

[tex]2\sqrt{9}=6[/tex]

[tex]x=6[/tex]

Answer:

200,000cm

Step-by-step explanation:

1m = 100cm

2000m = ?

2000 × 100 = 200,000cm

2,00,000cm

Step-by-step explanation:

1m= 100cm

2000m=?

2000m= 2000× 100 cm

= 2,00,000cm

Answer:

1

Step-by-step explanation:

:)

Maybe use a calculator?

Answer:

-243

Step-by-step explanation:

-(3)^5

-3 x -3 x -3 x - 3 x - 3

=>-243

Answer:

all real numbers

Step-by-step explanation:

the domain will always be all real numbers

Answer:

about 0.00645 pounds

Step-by-step explanation:

3.225 / 500 = 0.00645

Answer:

A single paper should weigh about 0.00645

Step-by-step explanation:

All you really need to do is divide 3.225 by 500.

Answer:

12.5 =x

Step-by-step explanation:

15 = 2x – 10

Add 10 to each side

15+10 = 2x – 10+10

25 = 2x

Divide by 2

25/2 = 2x/2

12.5 =x

Answer:

25/2

Step-by-step explanation:

2x-10=15

  +10 +10

2x=25

divide both sides by 2 to get 25/2

Answer: x=y/(12-5c)

Step-by-step explanation:

To solve for x, we need to use algebraic properties.

We notice that each term on teh right side contains an x. We can factor out an x.

y=12x-5cx                      [factor out x]

y=x(12-5c)                      [divide both sides by 12-5c]

x=y/(12-5c)

Answer:

(0,0)

Step-by-step explanation:

Let's think about how the graph of this would look.

We know that y will be [tex]x^2[/tex], meaning that if x was 0, y would be 0.

If x was 1, y would be 1

If x was 2, y would be 4.

Now let's think about negative numbers.

If x was -1, y would be 1 (since [tex]-1^2 = 1[/tex]

If x was -2, y would be 4 (since [tex]-2^2 = 4[/tex]).

This means that our graph would turn at the point where x and y are equal (excluding 1,1)

This is 0,0.

So 0,0 is the turning point of this graph.

Hope this helped!