What is the range of the inverse function f − 1?

Answer:

the answer is 42 I believe ;)

Answer:

x=12 or x=2

Step-by-step explanation:

Therefore , the solution of the given problem of angles comes out to be

∠m  = 140° for the given question.

An angle in Euclidean geometry is a form comprised of two rays, known as the flank of the hooking, that converged at the summit of both angles, which is situated in the middle. In the plane where they are positioned, two rays may come together to make an angle. An angle is also produced when two planes collide. They are referred to as dihedral angles. There are many different ways to arrange line segment ray with dismissals in order to make an angle in two dimensions.

Here,

Given : ∠m/∠JKL = 60° , JK=LM=21 feet and  KL =JM=9 feet.

Thus ,

to find the value of m :

From the given information we can say that

=> JKL = 21/9

=> JKL = 7/3

So,

=> 3∠m/7  = 60

=> 3∠m  = 60 * 7

=> ∠m  = 140°

Therefore , the solution of the given problem of angle comes out to be

∠m  = 140° for the given question.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

The equation for the parabola is y = -2x2 - 4x + 5.

To find the equation for the parabola, we need to first substitute the three given points into the general equation y = ax2 + bx + c and solve for the constants a, b, and c.

Substituting the point (?1, ?9):

?9 = a(?1)2 + b(?1) + c

Substituting the point (1, ?3):

?3 = a(1)2 + b(1) + c

Substituting the point (2, ?6):

?6 = a(2)2 + b(2) + c

Solving the three equations for a, b, and c gives us the equation of the parabola:

y = -2x2 - 4x + 5.

The equation for the parabola that passes through the points

(?1, ?9), (1, ?3), and (2, ?6) is y = -2x2 - 4x + 5.

To find the equation, we first substituted the three given points into the general equation y = ax2 + bx + c and solved for the constants a, b, and c. We then rearranged the three equations to form a system of equations that could be solved for a, b, and c. The solution to the system of equations gave us the values of a, b, and c, which when substituted into the original equation gave us the equation of the parabola. Thus, the equation of the parabola that passes through the three points is y = -2x2 - 4x + 5.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.

Now, According to the question:

What is Inverse Function?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^-^1[/tex] or [tex]F^-^1[/tex].

Hence, If any horizontal line intersects the graph of f more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.

Learn more about Inverse function at:

https://brainly.com/question/2541698

#SPJ4

The area of the chalkboard is 1.53 m^2 (option A)

The area of a rectangle is found by multiplying the length by the width.

So, the area of the chalkboard is 1.7 m * 0.9 m = 1.53 m^2.

Therefore, The area of the chalkboard is 1.53 m^2 (option A)

The area of a rectangle is a measure of the amount of space inside the rectangle. It is calculated by multiplying the length of the rectangle by its width. The formula for finding the area of a rectangle is:

Area = Length x Width

For example, if a rectangle has a length of 4 meters and a width of 2 meters, the area of the rectangle would be 4 x 2 = 8 square meters.

To learn more about the area of a rectangle,

Visit; brainly.com/question/20693059

#SPJ4

An exponential function for a graph that includes (-1,12.5) and (4,4.096) is,

⇒ y= 10(0.80)ˣ

A relation between a set of inputs having one output each is called a function.

Given that;

An exponential function is,

⇒ y= abˣ

Here, An exponential function for a graph includes (-1,12.5) and (4,4.096).

Hence, The points must satisfy the exponential function.

So, Put x = - 1, y = 12.5,

⇒ y = abˣ

⇒ 12.5 = ab⁻¹

⇒ 12.5b = a  .. (i)

And, Put x = 4, y = 4.096,

⇒ 4.096 = ab⁴

⇒ 4.096 = ab⁴

From (i), put the value of a in above equation we get;

⇒ 4.096 = (12.25b) b⁴

⇒ 4.096 = 12.25b⁵

⇒ 4.096 /12.25 = b⁵

⇒ b = ⁵√0.33

⇒ b = 0.80

And, from (i);

⇒ 12.5b = a

⇒ 12.5 × 0.80 = a

⇒ a = 10

Hence, An exponential function for a graph that includes (-1,12.5) and (4,4.096) is,

⇒ y= abˣ

⇒ y= 10(0.80)ˣ

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ1

JKP = 35°

If P is the incenter of jkl find each measure?

Given P is the incentre of the triangle,

ie., P is the point of intersection of all 3 angular bisectors.

so, from vertex J we have the angular bisector JN dividing the ∠J such that ∠KJN = ∠NJL

ie, (7x-6) = 5x+4

=> 7x-5x = 4+6

=> 2x = 10

=> x= 10/2 = 5

so, the angles are ∠KJN = 7(5)-6 = 35-6 = 29°

and ∠NJL = 5(5)+4 = 25+4 = 29°

adjacent to the vertex J, we have L with angular Bisector LM dividing the ∠L such that ∠KLM = ∠MLJ

so, given that ∠KLM = 26° => ∠MLJ = 26°

so, we have ∠J = 29°+29° = 58°

and ∠L = 26°+26° = 52°

In the given ΔJKL, we know ∠J + ∠K + ∠L = 180°

=> 58°+ ∠K + 52° = 180°

=> ∠K + 110° = 180°

=> ∠K = 180° - 110°

=> ∠K = 70°

we have angular bisector, KO bisecting ∠K such that ∠JKO = ∠OKL

we know, ∠K = ∠JKO +∠OKL

also, 70° = ∠JKO +∠JKO ( as angular bisectors)

70° = 2∠JKO

=> ∠JKO = 70°/2 = 35°

from the diagram, ∠JKO = ∠JKP

and hence ∠JKP = 35°

To learn more about incenter refers to;

https://brainly.com/question/2279756

#SPJ1

60 minute tapes: $4.00 each

90 minute tapes: $4.80 each

An algebraic equation is an equation that can be written using only algebraic operations.

This question is an example of an algebraic equation.

Step 1: Calculate the cost of 1 sixty minute tape.

We know that the cost of 5 sixty minute tapes and 9 ninety minute tapes is $71.40.

Total cost = 71.40

Number of sixty minute tapes = 5

Cost of 1 sixty minute tape = 71.40/5 = 14.28

Step 2: Calculate the cost of 1 ninety minute tape.

We know that the cost of 8 sixty minute tapes and 7 ninety minute tapes is $74.65.

Total cost = 74.65

Number of ninety minute tapes = 7

Cost of 1 ninety minute tape = 74.65/7 = 10.66

Therefore, the cost of 1 sixty minute tape is $14.28 and the cost of 1 ninety minute tape is $10.66.

To learn more about Algebraic equation refer to:

brainly.com/question/30294173

#SPJ1

Headlines should be clear and specific, telling the reader what the story is about, and be interesting enough to draw them into reading the article.

How do headlines work?

Headlines are the primary headers on an article or other piece of material that sum up the main points. The purpose of a headline is to draw attention to the main idea or type of information so that readers are aware of the broad subject matter.

In the internet age, headlines are getting more and more significant. They act as sources for search engines in addition to drawing the reader's attention. Today, browsing a list of search engine results is just as likely to lead a reader to an article as quickly skimming a newspaper page.

Know more about Headlines at:

https://brainly.com/question/943780

#SPJ4

Mikaela's average speed for the entire race is (5 + 20) / (0.5 + 0.8) = 15 kilometers per hour.

Mikaela can bike 25 kilometers in 1 hour. This is because she biked 20 kilometers in 0.8 hours, which can be converted to 25 kilometers in 1 hour (20 kilometers / 0.8 hours = 25 kilometers / 1 hour).

The factor of 10abcd is  2 x 5 x a x b x c x d.

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Given:

We have the phrase: Factor of 10abcd.

To find the factor of 10abcd:

Simplifying,

10abcd,

= 2 x 5 x a x b x c x d.

Therefore, the factor is  2 x 5 x a x b x c x d.

To learn more about the factorization;

https://brainly.com/question/28187946

#SPJ1

The total price of the flower bouquet and box of chocolates that the customer bought after a 20% discount and including 8.25% tax is $46.80.

The original cost of the flower bouquet and box of chocolates that the customer bought was $36 + $18 = $54. The customer then used a 20% off coupon, reducing the cost to $54 - ($54 * 20%) = $43.20. This new total was then subject to an 8.25% tax, which added $43.20 * 8.25% = $3.58 to the final cost. The final price of the items, including both the discount and tax, was $43.20 + $3.58 = $46.80.

Learn more about Discount:

https://brainly.com/question/27519306

#SPJ4

The quotient of x³ - 3x² + 3x - 2 divided by x² - x + 1 is x - 2.

The given polynomial is x³ - 3x² + 3x - 2.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x^2) (x) = x^3

Thus, we multiply the divisor (x² - x + 1) by x which gives x^3 - x^2 + x

Now we subtract this from the polynomial which gives -2x^2 + 2x - 2.

Repeating the same we multiply the divisor by -2 which gives

-2x^2 + 2x -2. Subtracting the same from -2x^2 + 2x - 2, we get the remainder 0.

Thus, we get the quotient as x - 2.

To know more about polynomial division:

https://brainly.com/question/12137844

#SPJ4

The area of each dilated rectangle is k² times the area of each original rectangle.

When a shape is dilated by a factor of k, its dimensions increase by a factor of k.

The formula for the area of a rectangle is length times width, so when the length and width of a rectangle increase by a factor of k, its area increases by a factor of k².

So, if a blob is dilated by a factor of k, the rectangles covering the blob also get dilated by a factor of k, and their areas increase by a factor of k².

This means that the area of each dilated rectangle is k² times the area of each original rectangle. This relationship holds true for any shape that is being dilated, not just rectangles.

Learn more about dilation of shapes on:

brainly.com/question/29634911

#SPJ1

Therefore , the solution of the given problem of triangle comes out to be length of each side is √61 and perimeter = 3√61 unit.

An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.

Here,

Given : ABC with vertices A (-2,3) B (3, -3), and C (-2, -3)

To calculate the length :

length = √(x2 -x1)² + (y2-y1)²

=> AB =  √(3 -(-2))² + (-3-(3))² = √61 unit.

=> BC = √(-2 -(3))² + (-3-(-3))² = √61 unit.

=> AC = √(-2 -(3))² + (-3-(-3))² = √61 unit.

and the perimeter of the given triangle = √61 +√61+√61 =3√61 unit.

Therefore , the solution of the given problem of triangle comes out to be

length of each side is √61 and perimeter = 3√61 unit.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

To graph a log function by hand, you need to determine the type of log function you are graphing, what the base of the function is, and what the x and y values of the function are.

Then, determine the range of x and y values that you want to graph. Plotting points on the graph for each x and y value will give you the graph for the log function.

To graph a log function by hand, you need to determine the type of log function, the base, and the x and y values. Then, plot points on the graph for the given x and y values to create the graph.

To graph a log function by hand, you need to determine the type of log function you are graphing, what the base of the function is, and what the x and y values of the function are.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

One can solve basic algebraic expressions by following these steps.

Students typically learn to solve basic algebraic expressions by following these steps:

Identify the variable and the coefficient (number in front of the variable) in the expression.

Use the order of operations (PEMDAS) to simplify any arithmetic within the expression.

Use the distributive property to combine like terms.

Isolate the variable on one side of the equation by using inverse operations (such as adding or subtracting the same value from both sides, or dividing or multiplying both sides by the same non-zero value).

Substitute in a value for the variable to find the numerical value of the expression.

It's good to practice with a lot of examples and check the solutions and ask for help if needed.

Example:

Solve for x: 3x + 2 = 12

variable is x, coefficient is 3

nothing to simplify

nothing to combine

subtract 2 from both sides: 3x = 10

divide both sides by 3: x = 10/3 or 3.3333

x = 3.3333

It's important to note that solving algebraic expressions can become more complex as the student progresses, but the basic steps remain the same.

Thus, One can solve basic algebraic expressions by following these steps.

To learn more about algebraic expressions,

Visit; brainly.com/question/953809

#SPJ4

The probability that randomly selected individuals will have a mean weight of at least  170 pounds will be 31.56% when men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected.

Given,

Mean, μ = 172 lb

standard deviation, s = 29 lb

n = 50

and we have to determine: P(x < 170 lb)

Initially, Using the z score formula we find the z value corresponds to a sample mean of 170

z = (x - μ)/([tex]s/\sqrt{n}[/tex]) = [tex]\frac{170-172}{\frac{29}{\sqrt{50} } }[/tex]  = -0.48

Now, using the z table to locate the probability:

P(x < 170) = P(z < -0.48)

or P(z < -0.48) = 0.3156 = 31.56 %

Therefore, the probability that randomly selected individuals will have a mean weight of at least  170 pounds will be 31.56% when men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected.

To read more about the z score:

https://brainly.com/question/15016913

#SPJ4

The complete question is:

Assume that men's weights are normally distributed with a mean of 172 lb and a standard deviation of 29 lb (National Health Survey) If 50 men are randomly selected, what is the probability that randomly selected individuals will have a mean weight of at least  170 pounds?

When the polynomial 2x³-3x²+4x+7 is divided by x+3, the remainder is -86.

The given polynomial is 2x³ - 3x² + 4x + 7.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x)(2x^2) = 2x^3

Thus, we multiply the divisor (x+3) by 2x^2 which gives 2x^3 + 6x^2

Now we subtract this from the polynomial which gives -9x^2 + 4x + 7.

In the same way we multiply the divisor by -9x which gives -9x^2 - 27x. Subtracting the same from -9x^2 + 4x + 7we get 31x + 7.

Now we multiply the divisor with 31 which gives 31x + 93. Subtracting it from the remaining polynomial 31x + 7 leaves the remainder -86.

The question is incomplete, the complete question is:

When the polynomial 2x³ - 3x² + 4x + 7 is divided by x + 3 The remainder is?

To know more about polynomial division:

https://brainly.com/question/1581527

#SPJ4

The expected winnings from one flip are the possibility that an unfair coin will land on heads with a probability of $2.

Measurement of the likelihood that an event will occur or a claim is true is done via probability theory, a branch of mathematics. The probability of an event is a number between 0 and 1, with 1 denoting certainty and 0 roughly indicating how likely it is that the event will occur. A probability is a numerical representation of how likely it is that a certain event will take place. Probabilities can also be expressed as ranges of 0% to 100% or 0 to 1. the proportion of occurrences in a full set of equally likely possibilities that lead to a particular occurrence relative to the total number of outcomes.

given

expected value,  E(x) = 0.6*4 + 0.2*-1 + 0.2*-10

= 2.18

≈ $2

The expected winnings from one flip are the possibility that an unfair coin will land on heads with a probability of $2.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

The probability that the number chosen is 1 is 1/3

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

For example if there are 15 fruits In bag and 3 are banana. The probability of choosing banana is 3/15 = 1/5.

Probability is given as sample space /total outcome

The total outcome = 12

The sample space of number 1 is 4. This is because 1 appeared 4 times in the experiment.

Therefore the probability of chosen a ball that has number 1 is

= 4/12

= 1/3

learn more about probability from

https://brainly.com/question/24756209

#SPJ1

Answer: 0.6 mm

Step-by-step explanation:

An algebraic expression is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

What is algebraic expression ?

An algebraic expression is a mathematical phrase that includes variables, constants, coefficients, and algebraic operations. For example, 5x2+6xy−c is an algebraic expression. Unlike algebraic equations, algebraic expressions do not have equal signs.

Types of algebraic expression ,

There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.

1) A monomial is an algebraic expression with a single term but can have multiple variables and a higher degree too.

2) Binomial expressions are common English phrases that include a pair of words usually joined by “and” or “or”.

3) A polynomial is composed of variables, constants and exponents, that are combined using mathematical operations.

An algebraic expression is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

To learn more about algebraic expression visit : brainly.com/question/953809

#SPJ4

Answer:

-3 x + 8

Step-by-step explanation:

Simplify the following:

-2 x - x + 8

Grouping like terms, -2 x - x + 8 = (-2 x - x) + 8:

(-2 x - x) + 8

-2 x - x = -3 x:

Answer: -3 x + 8

Answer: f(x)=-3x+2

Step-by-step explanation:

The investment compounded periodically will be worth more than the investment compounded annually.

To learn more about the time value of money refer to:

https://brainly.com/question/3811399

#SPJ1

Option C is correct interpretation. The publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.

In this example a book publisher published both fiction and nonfiction books, let F for fiction and N for nonfiction,

the standard deviation of total amount F+N=S=195.3,

Standard deviation is a measure which shows, how much variation such as spread, dispersion from the mean exists. the standard deviation indicates the typical deviation from the mean.

so, in this particular case we have standard deviation of total amount S=195.3.The interpretation of this value is the publisher can expect the total number of words per chapter to vary by approximately 195.3 word from the mean.

option C is correct interpretation for this case.  

learn more about standard deviation.

https://brainly.com/question/23907081

#SPJ4

Answer:

5a+13

Step-by-step explanation:

17-7a+12a+6

combine like terms

-7a+12a+7+6

simplify

5a+13

Answer: 5

Step-by-step explanation:

17 - 7a + 12a + 6  

1. Combine similar terms:

17 - 7a + 12a + 6 = 23 + 5a = 5a+23

The number that goes into the green box is 5.