Use f(x) = 12x and f -1(x) = 2x to solve the problems.

f(2) =

f−1(1) =

f−1(f(2)) =

Answers

Answer 1
Use f(x) = 12x and f -1(x) = 2x to solve the problems.

f(2) = 12(2) =24

f−1(1) = 2(1) =2

f−1(f(2)) = f-1(12(2)) =f-1(24) = 2(24) =48

Related Questions

Laila needs 6 1/4 feet of chain to complete a project an outdoor project. She has two small pieces measuring 1 1/4 feet and 2 1/2 feet. How many feet of chain does laila need to purchase?

Answers

First you want to make the fractions have equal denominators. So you want to convert 1/2 to 2/4. Now you can add 1 1/4 to 2 2/4. After adding that subtract it from 6 1/4. Whatever your answer is will be how much more she needs.

Suppose that you are playing blackjack against a dealer. in a freshly shuffled deck, what is the probability that neither you nor the dealer is dealt a blackjack?

Answers

The probability that neither you nor the dealer is dealt a blackjack will be 1/26.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Suppose that you are playing blackjack against a dealer. In a freshly shuffled deck.

Then the total number of the event will be

Total events = 52

Then the probability that neither you nor the dealer is dealt a blackjack will be

Favorable event = 2 {Spade of Jack and Club of Jack}

Then the probability of that events will be

P = 2 / 52

P = 1 / 26

The probability that neither you nor the dealer is dealt a blackjack will be 1/26.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ4

Are -345° and 2185° co-terminal?​

Answers

Answer:

  No

Step-by-step explanation:

You want to know if angles -345° and 2185° are coterminal.

Coterminal angles

Angles are co-terminal when their terminal sides are coincident. Each angle will have the same measure modulo 360°.

  -345° / 360° = -1 remainder 15°

  2185° / 360° = 6 remainder 25°

These angles have different values, modulo 360°, so are not co-terminal.

The sum of 2, 6, and a number amounts to 15. Find the number.

Answers

Given the numbers, let’s set up an equation:

2 + 6 + n = 15

We can solve this using steps:

1. Simplify

8 + n = 15

2. Subtract 8 from both sides

(8 - 8) + n = 15 - 8

3. Simplify

n = 7

Let’s plug in 7 to see if it makes sense:

2 + 6 + 7 = 15

Because this equation is true, we have found our number.

Our unknown number is 7.

450 divisible by 2,3,4,5,6,8,9
or 10 explain why ! EXPLAIN WHY !?

Answers

Answer: 450 is divisible by 2, 3, 5, 6, and 9

Step-by-step explanation: 450 is divisible by 2 because the last digit (0) is an even number.

Divisible by three because the sum of all the digits in 450 is a multiple of three: 4+5+0 = 9 which is 3*3.

Divisible by 5 because it ends with a 0 (could also end in 5)

Divisible by 6 because it is divisible by both 2 and 3 (2*3=6)

Divisible by 9 because 45 is divisible by 9.

Rubén put an empty cup underneath a leaking faucet after 1 1/2 hours Ruben had collected 1/4 cup of water. What is the rate in cups per hour at which the water is leaking from the faucet

Answers

The rate of water leaking from the faucet is 0.167 cups per hour.

What is defined as the flow rate?The volume of fluid which flows through with a given cross-sectional unit of time is defined as flow rate.The volume per time unit offered to the flow of gases or even other fluid substances that emerge from an orifice, pump, turbine, or pass through a conduit or channel is referred to as flow rate.

For, the given question;

Divide the amount of water accumulated by the number of hours to find the rate that the water is leaking out from faucet.

Let 'r' be the flow rate.

The formula for flow rate is;

Flow rate = volume / time

r = 0.25 cup / 1.5 hours

r = 0.167 cup/hour

As a result, the rate of water leaking from faucet is roughly equivalent to 0.167 cup/h.

To know more about the flow rate, here

https://brainly.com/question/1154328

#SPJ9

what is the value of a?

A.-16
B.-3
C.3
D.16​

Answers

Answer:

Which equation do I refer to?

Step-by-step explanation:

Find the amount in jay's account after 6 years when the principal deposit was $285 and is compounded annually with a rate of 1.9%.

Answers

The amount in Jay's account after 6 years is $357.20.

Given that, the principal=$285, time period=6 years and rate of interest =1.9%.

We need to find the amount in Jay's account after 6 years.

How to calculate the compound interest?

Compound interest, or 'interest on interest', is calculated using the compound interest formula. The formula for compound interest is  [tex]A=P(1+\frac{r}{100} )^{nt}[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.

Now, [tex]A=285(1+\frac{1.9}{100} )^{6}=285(1.019)^{6}[/tex]

=285×1.1195=$357.20

Therefore, the amount in Jay's account after 6 years is $357.20.

To learn more about compound interest visit:

https://brainly.com/question/26457073.

#SPJ4

x-7=15 answer please

Answers

Answer:

22.

Step-by-step explanation:

22-7=15.

Answer:
22
Step-by-step explanation:
well, X is 22 because to get 15, you have to subtract 22 from 7. hope this helps!

Three angles are shown, ZHRM, ZHRD, and ZDRM.
D
M
H
If m/HRM = 54°, m/HRD =
m/DRM =
(²7*+11) ².
4
R
(1/22 +22), ar
x
and
what is the value of x?

Answers

Answer:

28

Step-by-step explanation:

By the angle addition postulate,

[tex]54=\frac{1}{2}x+22+\frac{1}{4}x+11 \\ \\ 54=\frac{3}{4}x+33 \\ \\ 21=\frac{3}{4}x \\ \\ x=28[/tex]

3x + 2.3 = 11.6 help please

Answers

Solution:

[tex]x=3.1[/tex]

Hope this helps!

Answer:

x = 3.1

Step-by-step explanation:

3x + 2.3 = 11.6

3x = 11.6 - 2.3

3x = 9.3

x = 9.3/3

x = 3.1

Check:

3*3.1 + 2.3 = 11.6

9.3 + 2.3 = 11.6

Kyrie and Jayla were trying to describe parts
of the expression (5p+ 3)(p+1).
Jayla said, "The entire expression is the
sum of 5 terms."
Kyrie said, "The entire expression is the
product of 4 factors."

Answers

Step-by-step explanation:

did you leave something out ?

(5p + 3)(p + 1) = 5p×p + 5p×1 + 3×p + 3×1 =

= 5p² + 5p + 3p + 3 = 5p² + 8p + 3

at no point do we have 5 terms to sum up. but 4 and then finally 3, yes.

but we always have also additions, not only multiplications (products).

so, none of the 2 options is correct.

we could, of course. start with the initial expression, that shows the product of 2 factors and multiply by 1×1

(5p + 3)(p + 1)×1×1

then we have the expression as product of 4 factors.

in the same way we could bump up the sum scenario by adding one or 2 0s : tadah ! sum of 5 terms.

I strongly suspect there is something missing in the problem description.

Answer:

Neither is correct.

Step-by-step explanation:

On the following number line, what number would you plot at point C?
A
+++
6
06.038
6.408
6.82
6.983
6.1
6.2 6.3
B
++++
6.4 6.5 6.6
6.7
C
D
++++
6.9
7
6.8

Answers

The correct option is 6.82; the value of C on the number line is 6.82.

How do you defines the number line?

A number line is a straight line to numbers positioned at equal intervals or sections along its length in mathematics.

A number line can be stretched in any direction indefinitely and is typically represented horizontally.The numbers here on number line rise as one moves left to right and fall as one moves right to left.A number line can be employed to depict both negative and positive integers.Creating numbers on the a number line facilitates number comparison. The numbers on the left of the number line have been smaller than numbers on the right.

For, the given number line in the question;

As, the point C is situated between the points 6.8 and 6.9; thus the value of point C must lie in between these two values.

Thus, the only option which shows this condition is 6.82.

Therefore, the value point C on the number line is 6.82.

To know more about the number line, here

https://brainly.com/question/12399107

#SPJ9

2x+3=7
this equation has multiplication and addition in it. to solve this equation you need to get x by itself which means you need to get 2x by itself first. how can you do this?

Answers

Answer:

Subtract 3 from both sides.

Step-by-step explanation:

Doing this will leave 2x by itself.

Answer:

read below

Step-by-step explanation:

2x + 3 = 7

To isolate 2x, subtract 3 from both sides of the equation.

 [tex]2x + \frac{3}{-3} = \frac{7}{-3}[/tex]

3 - 3 = 0

7 - 3 = 4

[tex]2x = 4[/tex]

divide both sides by 2

[tex]x = 2[/tex]

A water well drilling rig has dug to a height of -30 feet after one full day (24 hours),of continuous use. assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours (5/8 days)?

Answers

The Height of the drill after 15 hours was 18.75 feet deep or (-18.75) feet.

Given that in 24 hours

the water well drilling rig dig -30 feet .

we know that ,

24 hours = 1 day

So,

1 hour =1/24 day

15 hours = [tex]\frac{15}{24} =\frac{5}{8} day[/tex]

Now according to the question ,

in 1 day the drilling rig dug -30 feet

So in [tex]\frac{5}{8} day[/tex] the drilling rig will dig =[tex]\frac{5}{8} *(-30)=-18.75feet[/tex]

in 15 hours (5/8 days ) drilling rig dig -18.75 feet.

Therefore , The Height of the drill after 15 hours (5/8 days) was 18.75 feet deep or (-18.75) feet.

Learn more about Ratio here https://brainly.com/question/17423776

#SPJ4

Simplify this expression

12g+9g

Answers

Answer:

21g

Step-by-step explanation:

12 + 9 = 21 then add the variable.

After Simplify this expression 12 g + 9 g. We get, 21g.

To simplify this expression

12 g + 9 g,

Add ( 12 + 9) ,which is 21

So, 12 g + 9 g = 21 g.

Therefore, the final answer is 12 g + 9 g = 21 g.

Learn more about expression here;

https://brainly.com/question/28519328

#SPJ6

One pipe can fill a tank in 8 minutes, a second can fill it in 12 minutes and a third can fill it
in 24 minutes. If the tank is empty how long will it take the three pipes, operating together,
to fill it?

Answers

20 minutes I hope this helps

4. What is the slope of the line that passes through the given points?
(3, 2) and (5, 12)
05
0-5
0-1
O
5

Answers

Answer:

5

Step-by-step explanation:

Use slope formula.

y2-y1/x2-x1

12-2/5-3=

=10/2=5

The slope is 5.

Hope this helps!

Please mark as brainliest if correct!

A boat travels upstream the Missouri River for 3.5 hours. The return trip takes only 2.5 hours because the boat travel 2 miles per hour faster downstream due to the current. How far does the boat travel downstream? PLEASE HELP PLSPLSPLSPLS

Answers

The distance traveled by boat upstream would be 5 miles because downstream, the boat moves 2 miles per hour more quickly.

What is the speed?

Speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

We have been given that the boat takes 3.5 hours to move upstream on the Mississippi River.

And 2.5 hours are used traveling back.

Downstream, the boat moves 2 miles per hour more quickly.

Let the speed of travel upstream would be x

⇒ 3.5x = 2.5(x + 2)

⇒ 3.5x = 2.5x + 5

⇒ 3.5x - 2.5x = 5

⇒ x = 5

So the distance traveled by boat upstream would be

= 3.5 × 5

= 17.5 miles per hour

Therefore, the boat travels 5 miles downstream.

Learn more about the speed here :

brainly.com/question/12322912

#SPJ1

Use structure find the perimeter of equilateral triangle klm given the vertices k(-2, 1) and m(10, 6).

Answers

Perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

As given in the question,

Coordinates of vertices K(-2,1) and M(10,6)

KM = [tex]\sqrt{ (10-(-2)^{2} +(6-1)^{2} }[/tex]

      = [tex]\sqrt{12^{2}+5^{2} }[/tex]

      = 13units

In equilateral triangle  KL = LM = KM = 13 units

Perimeter of equilateral triangle KLM = 13 +13 +13

                                                           = 39 units

Therefore, perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

Learn more about perimeter here

brainly.com/question/6465134

#SPJ4

In anova, by dividing the mean square between groups by the mean square within groups, a(n) _____ statistic is computed.group of answer choices

Answers

In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

With the help of the statistical analysis approach known as ANOVA, apparent aggregate variability within a data set is explained by separating systematic components from random factors. Systematic influences, but not random ones, statistically affect the data set that is being presented.

What are some instances where ANOVA has been applied?

An ANOVA demonstrates the link between the dependent variable and the level of the independent variable. For illustration: In order to determine whether there is a difference in the number of hours of sleep each night as your independent variable, you divide the groups into low, medium, and high social media use categories.

Learn more about Analysis of variance

brainly.com/question/28274784

#SPJ4

help a soon as possible i don't know how to work this out

Answers

Answer:

the answer of finding highest common factor is 286286

Answer:

24167    ( or   11 x 13^3)

Step-by-step explanation:

x = 2 x 7 x 11 x 11^2 x 13^3 x 13^2

y = 3       x 11            x 13^3  

The underlined are common factors of x and y

     11 x 13^3 = 24167   is the GCF

We know circle A is a congruent to circle B because

Answers

Since the radii of Circle A and Circle B are the same length, we know they are congruent.

What is defined as the congruent circles?

Congruency is a geometric term that refers to objects that share the same size and shape (dimension).

Two circles, as well as other geometrical shapes such as triangles, quadrilaterals, or polygons, can be congruent. The center and radius of a circle are the two properties that define it. Because congruency is independent of location and then a circle remains the same irrespective of rotation and reflection, the radius of a circle determines its congruence.Again, because a radius 'r' is a constant (its value does not change) and is only equal to some other constant, all circles that have the same radius (and any value dependent on radius) are congruent to each other.

For the given two circles, A and B are said to be congruent if the radii of both the circles are equal.

Thus, for circles to be congruent, the radii must be equal.

To know more about the congruent circles, here

https://brainly.com/question/12044225

#SPJ9

A random sample of 10 subjects have weights with a standard deviation of kg. What is the variance of their​ weights? be sure to include the appropriate units with the result.

Answers

The variance of their​ weights is 128.87270 kg².

It is required to find the variance of their​ weights.

What is standard deviation ?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Let n=sample size=10 subjects

Standard deviation=11.352211.3522 kg

Using this formula

Variance=(Standard deviation)²

By the formula we get,

Variance=(11.352211.3522 kg)²

Variance=128.87270 kg²

Therefore, the variance of their​ weights is 128.87270 kg².

Learn more about standard deviation here:

https://brainly.com/question/16555520

#SPJ4

The domain and the range of the reciprocal function are the set of all real numbers. True or false?.

Answers

False. All real numbers, with the exception of 0 because f (0) = 1 0, fall inside the reciprocal function's domain and range. Y cannot be 0 if x cannot, either.

What are real numbers?

In mathematics, a real number is a quantity that may be represented by an endless number of decimal expansions. In contrast to the natural numbers 1, 2, 3,... that result from counting, real numbers are used in measurements of continuously varying quantities such as size and time. They are distinguished from imaginary numbers, which use the symbol I or the square root of 1, by the word "real." A complex number has a real (1) and an imaginary I component, like 1 + i. The positive and negative integers, as well as the fractions created from them (also known as rational numbers), as well as the irrational numbers, are all real numbers.

Contrary to rational numbers, whose decimal expansions always contain a digit or group of digits that repeats itself, such as 1/6 = 0.16666... or 2/7 = 0.285714285714, irrational numbers have decimal expansions that do not repeat themselves. Since there is no regularly repeating group in the decimal produced as 0.42442444244442, it is irrational.

To learn more about the, real numbers visit:

https://brainly.com/question/9876116

#SPJ4

ASSOCIATIVE PROPERTIES
COMMON CORE ALGEBRA I HOMEWORK
FLUENCY
Combine the expressions below. Replace subtraction by addition of opposites, if needed.
(a) 7x+3+6x+11
(b) 12x+10+3+8x
(c) 10y+12-7y-8-3y

Answers

What is an associative property?

According to the associative property, if three or more integers are classified differently, the total or product does not change. It is possible to apply this associative characteristic to addition and multiplication. Both (A + B) + C = A + (B + C) and (A + B) C = A + (B C) are used to represent it.In accordance with the associative property, it is irrelevant how the integers are grouped when adding or multiplying them, i.e., where the parenthesis are placed.

Given expressions with rearrangement as per associative property are:

(a) 7x+3+6x+11

  =(7x+6x)+(3+11)

(b) 12x+10+3+8x

  =(12x+8x)+10+3

(c) 10y+12-7y-8-3y

 =(10y-7y-3y)-(-12+8)

Learn more about the associative property here:

https://brainly.com/question/13181

#SPJ9

The following histogram summarizes the amount spent on plane tickets to travel home, in dollars, for a group of 30 college students

Answers

The sum of the frequencies

Let’s assume hypothetical data, various values occur multiple times and we have divided that given data or values into a certain interval that interval is termed a class, and the lower value is called the lower limit and the upper interval is called the lower limit of that class respectively.

Since various values occur multiple times in that data, then the number of times a certain value occurs is called the frequency of that class. This means all the classes have their own respective frequency and that represents the repetition of that values when we add all these frequencies, we will get the number of elements in the given data.

For more information on histograms click on the link below:

https://brainly.com/question/2962546

#SPJ4

Although part of the question is missing the question is the following histogram summarizes the amount spent on plane tickets to travel home in dollars for a group of 30 college students. If the interval size is decreased from $200 to $100 which of the following must remain the same on the new histogram?

What is a major area of jurisdiction for local law enforcement agencies

Answers

Answer:

Patrolling Communities.

Step-by-step explanation:

Bit much for this lol

What is 6+42 for gcf

Answers

Answer:

48

Step-by-step explanation:

Essay writers are okay but seriously just gotta include the answer ;-;

Answer: 6 should be your answer

Explanation: Depending on how many and how large the numbers are, there are a variety of approaches to compute the GCF of a collection of integers.

Simply look at each number's components or multiples to get its largest common multiple for lesser numbers.

These factors look like this for 6 and 42:

1, 2, 3, and 6 are the six factors.

1, 2, 3, 6, 7, 14, 21, and 42 are the 42 factors.

Can someone help me with this please?

Answers

since you said please: 127*

Other Questions
Sana gill deposited $3,500 into a new business checking account to begin her new bookkeeping firm, gill bookkeeping. this business transaction would:__________ The rapid increase in human population during the past several centuries is an example of __________ growth Can you please help me with this ? With regard to research involving decisionally impaired adults, hhs regulations:______. Describes how the cause of a disease leads to anatomical and physiological changes in the body that ultimately result in the disease. a. etiology b. idopathic c. pathogensis d. sequela The trace error button is an example of a _____, which may display near the active cell when data is being typed or edited in a worksheet. 8. in the preparation of methyl benzoate what is the purpose of washing the organic layer with saturated sodium chloride? ____ sites are web sites that individuals and businesses use to conduct social interactions online. Exercise 2 Underline the adverb or adverbs in each sentence. The visiting team arrived late for the big game. Identify at least three ways in which kendra scott sought to differentiate itself from rival jewelry firms. The acting out of sincere beliefs in genuine ways of making a particular religious faith visible is called:_______ The length of time recommended in the emergency response module to flush your eyes in an eye wash following an ocular exposure to a biohazard is? the points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 5 : 3. if LO = 11, find NO diffention of window vista Exercise 1 Draw one line under each compound subject and two lines under the simple predicate they share. Circle the conjunction or conjunctions. Either Lani or Tessa will speak first. Compare the relative advantages of the american and british militaries. how was george washington able to secure a victory over the most powerful nation in the world? Exercise 2 Circle each prepositional phrase in the sentences below and draw an arrow to the word or words it modifies.When Jo forgot her key, she knocked on the window. What do I write for 23??? Heritability does not refer to the__ __of heredity and environment in a particular individual.O relative influenceO behavioral geneticsO statistical elementO statistical extent how many major according to the edicts what did Asoka do to improve health