Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The following graph gibes the amount of money, in dollars, Tom owes his friend, as a function of the amount of time, in years.

Answer:

Step-by-step explanation:

12) f(x) = 3x

y = 3x

x = 3y

x/3 = y

13) f(x) = 4x-10

y = 4x - 10

x = 4y - 10 (isolate y)

(x+10)/4 = y

The required inverse function would be f⁻¹(x) = x / 3.

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

f(x) = 3x

So after switching x and y,

Now, we solve for y regularly.

f(x) = x = 3y

Solve for y :

⇒ x = 3y

⇒ x / 3 = y

⇒ y = x / 3 = f⁻¹(x)

Therefore, the required inverse function would be f⁻¹(x) = x / 3.

Learn more about the inverse functions here:

brainly.com/question/2541698

#SPJ7

Complete question is ;

Which of the following functions is the inverse of f (x) = 3x? A. F (x) = -3x. B. F (x) = X3. C. F (x)=x/3 D. This function does not have an inverse.

Answer:

number 3 is right

Step-by-step explanation:

this equation has infinitely many solutions

Answer:

The answer is D.

Step-by-step explanation:

Answer:

The choice D)

[tex]2 \sqrt{2} [/tex]

Step-by-step explanation:

Sin = Opposite/ hypotenuse

[tex] \sin(45) = \frac{x}{4} \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4} \\ \\ \sqrt{2} x = 4 \\ \\ x = \frac{4}{ \sqrt{2} } \\ \\ x = \frac{4}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ x = \frac{4 \sqrt{2} }{2} = 2 \sqrt{2} \\ \\ \\ x = 2\sqrt{2} [/tex]

I hope I helped you^_^

Answer:

2

Step-by-step explanation:

it dot number 2 to click

Answer:

0 ≤ months ≤ 12

Step-by-step explanation:

Domain is the x-values and axis, so it is 0 to 12.

Hopefully this helps!

Brainliest please?

Answer:

nice pfp hehe genshin player here >○<

constant is 5

coefficient is 6 7

terms: 5, 6m2, 7m

Answer:

Question a:

[tex]{ \rm{kinetic \: energy = \frac{1}{2} m {v}^{2} }} \\ [/tex]

• then let's make m the subject:

[tex]{ \rm{E = \frac{1}{2}m {v}^{2} }} \\ \\ { \rm{m {v}^{2} = 2E }} \\ \\ { { \green{ \boxed{ \boxed{ \bf{m = \frac{2E}{ {v}^{2} } }}}}}} \\ [/tex]

Answer: m = 2E/v²

Question b:

[tex]{ \rm{m = \frac{2E}{ {v}^{2} } }} \\ \\ { \rm{m = \frac{(2 \times 2500)}{ {10}^{2} } }} \\ \\ { \rm{m = \frac{5000}{100} }} \\ \\ { \boxed{ \boxed{ \rm{ \: m = 50 \: kg \: }}}}[/tex]

Answer: mass is 50 kg

Answer:

4.6x3=13.8

0.46x3=1.38

Step-by-step explanation:

Answer:

The correct choice is option B.  3,429

Step-by-step explanation:

When rounded to the nearest hundred, 3429 becomes 3400.

Answer:

3,429 --- right answer

The domain of a function is the set of possible input value, the function can take.

The domain is [0,10]

The given parameters are:

[tex]Flat\ Fee = 15.25[/tex]

[tex]Rate = 3.45[/tex]

So, the function f(x) is:

[tex]f(x) = Flat\ Fee + Rate \times x[/tex]

[tex]f(x) = 15.25 + 3.45 \times x[/tex]

[tex]f(x) = 15.25 + 3.45x[/tex]

Because x represents the number of orders, the value of x cannot be negative.

The teacher budgets $49.75.

This means that: f(x) = 49.75

So, we have:

[tex]49.75 = 15.25 + 3.45x[/tex]

Collect like terms

[tex]49.75 - 15.25 = 3.45x[/tex]

[tex]34.5 = 3.45x[/tex]

Divide both sides by 3.45

[tex]10 = x[/tex]

Rewrite as

[tex]x = 10[/tex]

Hence, the domain is [0,10]

Read more about domains at:

https://brainly.com/question/21853810

Answer:

Y=-5/8X+6

Step-by-step explanation:

Answer:

the answer is 1.

Step-by-step explanation:

x²-2xy-4z²+y²

given:

x=1 y=2 z=0

now,

=1^2-2*1*2-0+2^2

=1

hope it helps ..thank u

Interpreting the scatterplot, it is found that the correct option is:

Springside weakens the correlation shown in the scatterplot.

Springside weakens the correlation shown in the scatterplot.

A similar problem is given at https://brainly.com/question/13961820

Answer:

Here’s the answer:

Step-by-step explanation:

The sum of the four numbers divided by 4 is equal to the mean.

the sum/4 = mean

(12 + 50 + 48 + n)/4 = 30

(110 + n)/4 = 30

(110 + n) = 30 × 4

(110 + n) = 120

n = 120 - 110

n = 10

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{m^2 - 5m - 4}}\\\large\boxed{\mathsf{= 6^2 - 5(6) - 4}}\\\large\boxef\large\boxed{\mathsf{= 36 - 30 - 4}}}\\\large\boxed{\mathsf{= 6 - 4}}\\\large\boxed{= \textsf{2}}}\\\huge\boxed{\text{Therefore, your answer is: \textsf 2}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: 7(3x+1)

Step-by-step explanation:

there is a common factor of 7 in both 21 and 7. therefore you can take a 7 out of the equation to get 7(3x+1)

extra: 7 times 3x = 21x and 7 times 1 = 7. this is how you verify your answer is correct.

Answer:

i thinks it on a app

Step-by-step explanation:

yea the wedsite is

Answer:

B, D, and E

Step-by-step explanation:

The functions f(x) and g(x) combine to form a composite functions

The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

The functions are given as:

[tex]f(x) = \sqrt{2x[/tex]

[tex]g(x) = \sqrt{8x[/tex]

To calculate (fg)(x), we have:

[tex]f(x) = \sqrt{2x[/tex]

This gives

[tex]f(g(x)) = \sqrt{2g(x))[/tex]

Substitute [tex]g(x) = \sqrt{8x[/tex]

[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]

Simplify

[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]

Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]

Read more about composite functions at:

https://brainly.com/question/10687170

Answer:

f.g x = 4x

Step-by-step explanation:

Answer:

90 miles per hour

Step-by-step explanation:

Divide distance by time to get speed.

[tex]\frac{120}{80}[/tex]=1.5 miles per minute

60 minutes in an hour

1.5(60)=90 miles an hour

x=25 because 30+25=55. and 55-25=30

x = -1

Step-by-step explanation:

2(x - 1) + 4 = -(x + 6) + 5

2x - 2 + 4 = -x - 6 + 5

2x + 2 = -x - 1

2x + x = -1 - 2

3x = -3

x = -1

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Move all terms that don't contain [tex]x[/tex] to the right side and solve.

Answer:

refer to the attachment

Step-by-step explanation:

hence x is 2

Answer:

How do you write a number to the power of something ?

( ex : 125 to the power of 5 )

125⁵

thats it easy as much

Answer:

very easy just follow instruction

Answer:

1.b (2+x)*(2-x)-4

2.a 3*(x^2-2x+1)=3x^2+3