pls help me

Drag the tiles to the boxes to form correct pairs.
Consider functions f and g.

Pls Help MeDrag The Tiles To The Boxes To Form Correct Pairs.Consider Functions F And G.

Answers

Answer 1

(a) The answer of (g.f)(2) is [tex]\sqrt{23}[/tex] .

(b)The answer of (g + f) (2) is [tex]\sqrt{3}[/tex] -  3 .

(c)The answer of  (g - f) (-1) is [tex]\sqrt{15}[/tex] .

(d)The answer of [tex]\frac{f}{g}(-1)[/tex] is 0 .

The composition of functions f(x) and g(x) on which g(x) acts first is denoted by f(g(x)) or (f ∘ g)(x). It combines two or more functions to provide another function. In function composition, the output of the function inside the parentheses becomes the input of the outer function.

We have given two functions f(x) = [tex]1-x^2[/tex] and g(x) = [tex]\sqrt{11-4x}[/tex]

(a) Put x = 2 in f(x) we get  f(2) = 1 - 4 = -3

  (g.f)(2) =  g(f(2))

             = g(-3)

              [tex]=\sqrt{11-4(-3)}\\=\sqrt{11+12} \\=\sqrt{23}[/tex]

which is option (c) .

(b)  Put x = 2 in f(x) we get f(2) = 1 - 4 = -3 and g(2) = [tex]\sqrt{11-8} =\sqrt{3}[/tex]

(g + f) (2) = g(2) + f(2)

              = [tex]\sqrt{3}[/tex] + (-3)

               = [tex]\sqrt{3}[/tex] - 3

which is option (a)

(c) Put x = -1 in f(x) we get f(-1) = 1 - 1 = 0 and g(-1) = [tex]\sqrt{11+4} =\sqrt{15}[/tex]

(g - f) (-1) = g(-1) - f(-1)

              = [tex]\sqrt{15}[/tex] + 0

               = [tex]\sqrt{15}[/tex]

which is option (b)

(d) Put x = -1 in f(x) we get f(-1) = 1 - 1 = 0 and g(-1) = [tex]\sqrt{11+4} =\sqrt{15}[/tex]

[tex]\frac{f}{g}(-1)[/tex] = f(-1) / g(-1)

          = 0 / [tex]\sqrt{15}[/tex]

           = 0

which is option (d)

Learn more about composite function here :

https://brainly.com/question/10687170

#SPJ9


Related Questions

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve the following equation algebraically. Show your work.

17=−13−8x

Answers

Answer:

-15/4 = x

Step-by-step explanation:

17 = -13 -8x

Solving for x

Add 13 to each side

17 +13 = -13+13-8x

30 = -8x

Divide each side by -8

30/-8 = -8x/-8

Simplify by dividing the top and bottom by 2

-15/4 = x

ole has $1,750 to invest. His bank offers two different types of accounts to choose from. Cole will not make any additional deposits or withdrawals. Which account will earn the most interest at the end of 3 years?

Answers

At the end of 3 years second account will earn the most interest, that is $148.38

Given,

The amount Cole has with him = $1750

Two types of account bank offered:

First account has simple interest rate = 2.75% annually

Second account has compound interest rate = 2.75% compounded annually.

Number of years = 3

We have to find the account which earn the most interest at the end of 3 years.

Simple interest = PRT/100

Compound interest = A - P

A is the amount

A [tex]=P(1+\frac{R}{N} )^{NT}[/tex]

Where,

P is the principal amount

R is the rate of interest

T is the time period

N is the number of times interest compounded yearly.

Here,

P = 1750

R = 2.75%

T = 3 years

N = 1

Now,

First account:

Simple interest = PRT/100

SI = (1750 × 2.75 × 3) / 100

SI = 14437.5/100

SI = 144.375

First account offers $144.375 as interest for 3 years.

Second account:

Compound interest = A - P

A  [tex]=P(1+\frac{R}{N} )^{NT}[/tex]

A = 1750 [tex](1+\frac{0.0275}{1} )^{1(3)}[/tex]

A = 1750 (1 + 0.0275)³

A = 1750 × 1.0275³

A = 1750 × 1.084789547

A = 1898.381707

A ≈ 1898.38

Compound interest = A - P

CI = 1898.38 - 1750

CI = 148.38

Second account offers $148.38 as interest for 3 years.

So, we can conclude that second account will earn the most interest at the end of 3 years.

Learn more about Simple interest and Compound interest here:

https://brainly.com/question/27262876

#SPJ1

The normal cruising speed of a certain airplane is about 250 ​m/sec. What is this speed in miles per​ hour? Round to a whole number.

Answers

Answer:

900,000 mph

Step-by-step explanation:

I am assuming the m in he problems is standing for miles.

250m/sec x 60 sec/min x 60min/hour  The sec cross out and the minutes cross out and you are left with miles be hour.

ASAP pls help .....
11 Points

Answers

Answer:

0.008 3repeating

Step-by-step explanation:

0.008 repeating is going to be the answer

Write the number name and expanded form for the number of driver ants that could be in two colonies.
Up to 22000 000 driver ants can live in a single colony

Answers

Number name = 22 million

Expanded form = 20,000,000 + 2,000,000

How to write a number in expanded form?

To write the number name and expanded form for the number of driver ants that could be in two colonies.

Given that Up to 22,000,000 driver of ants can live in a single colony

Now, from number expressions, we know that;

1, 000, 000 = 1 million

Thus number name is;

22,000,000= 22 million

Expanded form of 22,000,000 = 20,000,000 + 2,000,000

Thus, we conclude that;

Number name = 22 million

Expanded form = 20,000,000 + 2,000,000

Read more about Expanded form at; https://brainly.com/question/567952

#SPJ1

O LINEAR EQUATIONS AND INEQUALITIES
Finding a percentage of a total amount: Real-world situations
Das
A file that is 244 megabytes is being downloaded. If the download is 18.5% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
megabytes

Answers

The size of the file that has been downloaded is 50 megabytes.

Given total size of the file is 244 megabytes

The percentage that completed the download till now = 18.5%

We have to determine the size of the file downloaded till now can be written as

= 18.5 % of 244

= 18.5 / 100 * 244

= 45.14 megabytes

≈ 50 megabytes

The size of the file that has been downloaded is 50 megabytes.

To learn more about percentage calculations refer below

https://brainly.com/question/23180641

#SPJ9

The number of words in books are discrete or continuous

Answers

Continuous hoped that helped uu

I need help with this please

Answers

Answer: m<ABC = 45 degrees, m<DBC = 36 degrees

Step-by-step explanation:

set both equations equal to 81 because they add up to form one angle:

5x + 6 + 9x - 9 = 81

Combine like terms

14x - 3 = 81

Add three to both sides

14x = 84

Divide by 14 to find x

x = 6

To find the angles:

Measurement of angle ABC:

9(6) - 9 = 45 degrees

Take the original angle of 81 and subtract the angle you just found to find the remaining angle:

81 - 45 = 36

Therefore, the angle of DBC is 36 degrees

Find the smallest positive integer, n,such that 168n is a square number.​

Answers

Answer:

n = 42 and the square number is 7056

==============================

Prime factors of 168 are:

168 = 2*2*2*3*7

In order to make 168n a square number we need to use each prime factor even number of times.

Add 2, 3 and 7 to the prime factors (as a minimum) to get:

168*2*3*7 = 168*42 = 2⁴*3²*7² = (2²*3*7)² = 84² = 7056

The number of cars a salesman sold each month for a two year period are represented by the box and whisker plot below. Which of the following statements is most likely to be true?

In approximately 50% of the months he sold less than 9 cars.
In approximately 25% of the months he sold less than 12 cars.
In approximately 75% of the months he sold more than 12 cars.
In approximately 25% of the months he sold less than 9 cars.

Answers

The true statement is that (a) in approximately 50% of the months he sold less than 9 cars.

How to determine which of the statements is most likely to be true?

The given parameter is the box and whisker plot

As mentioned above, the box and whisker plot is a great tool to show the five-number summary.

The five-number summaries are:

MinimumLower quartileMedianUpper quartileMaximum

On the box and whisker plot, we have the following five-number summaries:

Minimum: 0Lower quartile: 4Median: 9Upper quartile: 12Maximum: 19

The difference between the quartlles is

Difference = Upper quartile - Lower quartile

So, we have

Difference = 12 - 4

Evaluate

Difference = 8

This means that in approximately 50% of the months he sold 8 cars

8 is less than 9

This means that in approximately 50% of the months he sold less than 9 cars.

Hence, the true statement is that (a) in approximately 50% of the months he sold less than 9 cars.

Read more about box and whisker plot at

https://brainly.com/question/3473797

#SPJ1

2x - 7y=1
4x - 14y= 22
elimination process

Answers

Answer:
No solution

Step-by-step explanation:
Let's solve your system by elimination.−2x+14y=−29;x−7y=19Multiply the second equation by 2, then add the equations together.(−2x+14y=−29)2(x−7y=19)
Becomes

−2x+14y=−292x−14y=38Add these equations to eliminate x:0=9

Simplify the expression −7+ −5−40​ ×−8

Answers

The value of the given expression when simplified is equal to 318.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified using the PEMDAS as shown below.

-7 + 5 - 40 × -8

As per the PEMDAS multiplication should be solved first,

= -7 + 5 + 320

Further, solve addition,

= -7 + 5 + 320

= -7 +325

= 318

Hence, the value of the given expression when simplified is equal to 318.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ1

HELP PLEASE
Graph the point (-2,3) and 3 more points using a slope of -1/2

Answers

The linear equation that represents the point (-2,3) and 3 more points with a slope of -1/2 is y = -1/2x + 2

How to graph the point (-2,3) and 3 more points using a slope of -1/2?

The given parameters are

Slope, m = -1/2

Point, (x1, y1) = (-2, 3)

The linear equation is calculated as:

y = m(x - x1) + y1

Substitute the known values in the above equation

y = -1/2(x + 2) + 3

Expand

y = -1/2x - 1 + 3

Evaluate the sum

y = -1/2x + 2

This means that the linear equation that represents the point (-2,3) and 3 more points with a slope of -1/2 is y = -1/2x + 2

See attachment for the graph of the point and the three other points

Read more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

If one of the points that this relationship passes through is (,)=(300,10), find the
proportionality constant for this relationship. Round your answer to 3 decimal places.

Answers

Answer:

.033

Step-by-step explanation:

When there is a proportional relationship the constant of proportionality is y/x and in this case that would be  10/300 and that would be .033 rounded to three decimal places.

If 6 -x = 12, what is x - 6?

Answers

Answer: x - 6 = -12

Step-by-step explanation: first, we'll solve for x in 6 - x = 12. We'll isolate the variable by subtracting 6 from both sides, which gives us -x = 6. Now we'll divide both sides by -1 to get x and we will get -6 = x. So for the expression, we'll sub in the value we got for x from the equation, -6. -6 - 6 = -12.

Answer:

-12

Step-by-step explanation:

5m + n = 10 Solve for m

Answers

Answer:

[tex]m = - \frac{1}{5} n + 2[/tex]

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
A. Two
B. One
C. Zero
D. Infinitely many

Answers

Answer:The correct option is (b) that is One.Step-by-step explanation:

The two lines have only one intersection

[tex]\therefore[/tex] There are only one solution to the system of equation.

Line AL is a perpendicular bisector of segment CM. Which of the following are true

Answers

Triangle ABC is an isosceles right triangle.

Because of A(-8,7) B(-4,2) C(1,6)

So AB=√[-8-(-4)]²+(7-2)²

=√41

BC=√(-4-1)²+(2-6)²

=√42

AC=√(-8-1)²+(7-6)²

=√82

AB=BC

AB²+BC²=AC²

So triangle ABC is an isosceles right triangle.

What is isosceles right triangle?

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

Learn more about isosceles right triangle https://brainly.com/question/2456591

#SPJ1

Dominie practices the piano 714 minutes in 2 weeks. at what rate did she practice, in minutes per day?

Answers

The number of minutes per day that Dominie practise the piano is 51 minutes per day.

What is the rate of practice?

The first step is to convert two weeks to days.

1 week = 7 days

2 weeks : 7 x 2 = 14 days

The second step is to divide the total minutes Dominie practices by the total number of days. Division is the mathematical operation that is used in grouping a number into equal parts using another number. The result of a division is known as the quotient. The sign used to represent division is ÷.

Number of minutes they practice per day : total practice / number of days in two weeks

714 / 14 = 51 minutes per day

To learn more about division, please check: https://brainly.com/question/194007

#SPJ1

For what values of x is x^3+18x^2+92x+120=0 a true statement.

Answers

For x = -2,-6, and -10 the value of the polynomial will be satisfied.

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

Given the polynomial,

x³ + 18x² + 92x + 120 = 0

By hit trial method let's put x = -2

-8 + 72 - 184 + 120 = 0

-192 + 192 = 0

0 = 0

Now,divide x³ + 18x² + 92x + 120 = 0 by x + 2

(x + 2)(x²+ 16x + 60) = 0

(x + 2)(x + 6)(x + 10) = 0

x = -2,-6 and -10.

Hence "For x = -2,-6, and -10 the value of the polynomial will be satisfied".

To learn more about the roots of an equation,

https://brainly.com/question/12029673

#SPJ1

Which could be a possible value of x for the expression below to be a rational number? √9x+4
X=4
X=13
X=14
X=16

Answers

The answer would be X=13

514 gram in kg convert into

Answers

Answer:

514 grams is equal to 0.514 kilograms

The weight of an organ, an adult males has a bell shaped distribution with a mean of 320 g and a standard deviation of 45 g use the empirical rule to determine the following
A. About 95% of organs will be between what weights?
B. What percentage of organs weighs between 185 grams in 455 grams?
C. What percentage of organs weighs less than 185 grams or more than 455 grams?
D. What percentage of organs weighs between 275 grams in 410 grams?

Answers

I think it’s d or c

Use the order of operations to simplify the expression.
5-8
8-5
+ (7 - 2²)

Answers

Answer:

2

Step-by-step explanation:

-3/3 + (7-2^2) = _

-1+3=2

Solve the equation P(x) = 8.

Answers

Answer:

Step-by-step explanation:

Determine the relationship between the quantities on the given graph.
Wages Earned ($)
OA. The hourly rate depends on the wages earned.
B.
The time worked depends on the wages earned.
C.
The wages earned depends on the time worked.
The time worked depends on the hourly rate.
O D.
Total Wages
Time Worked (hours)

Answers

The wages earned depends on the time worked is the correct relationship between the quantities on the given graph that means option C is correct

The graph given in the question shows the time worked on x axis and wages earned on y axis and a ray staring from the origin and moving upward

from the graph we can say that when time worked is zero then wages earned is zero. As the time worked is increasing the wages earned is also increasing .

Hence, it can be said that The wages earned depends on the time worked is the correct relationship between the quantities on the given graph that means option C is correct

The correct question is -Determine the relationship between the quantities on the given graph.

Total Wages

Wages Earned ($)

Time Worked (hours)

OA. The hourly rate depends on the wages earned.

OB. The time worked depends on the wages earned.

OC. The wages earned depends on the time worked.

OD. The time worked depends on the hourly rate.

To know more about Graphs - https://brainly.com/question/17267403

#SPJ9

Subtract. Write your answer as a decimal.

5.5−8.1=

Answers

The answer is -2.6.

The solution of the given expression  [tex]5.5 - 8.1[/tex] in decimal form is [tex]-2.6[/tex] which is a negative integer in decimal form.

The numbers of the number line are called integers. They include positive numbers, zero, and negative numbers.

Zero is neither considered a negative nor a positive number.

[tex]5.5\\[/tex] is a positive number and a smaller number when compared from [tex]8.1[/tex].

When a smaller number is subtracted from a larger number it results in subtraction with a negative sign.

[tex]5.5 - 8.1 \\= -2.6[/tex]

The subtraction of the given expression [tex]5.5 - 8.1[/tex] in decimal form is [tex]-2.6[/tex].

Learn more about integers here:

https://brainly.com/question/33503847

#SPJ6

(x-j) (5x + k) = 0

How do i find x from this equation

Answers

Answer:

x = 5j-k

Step-by-step explanation:

(x-j) (5x+k) = 0

(x-j) * (5x+k) = 0

x - 5j + k = 0

x + k = 5j

x = 5j - k

For the given functions f and g, find the requested function.

Answers

Answer:

its 1

Step-by-step explanation:

i just know

Luciana claims that if you add numbers with the same sign, the sum is always greater than each of the addends. Is she correct?

Answers

Luciana claims that if you add numbers with the same sign, the sum is always greater than each of the addends. He is incorrect

How to illustrate the information?

From the information, Luciana claims that if you add numbers with the same sign, the sum is always greater than each of the addends.

Let's add (-3) + (-4)

It should be noted that the addition is equal to -7.

It should be noted that this doesn't corelate with what Luciana said.

Therefore, she is incorrect. It's only correct for positive numbers.

Learn more about sum on

brainly.com/question/24205483

#SPJ1

Other Questions
during resuscitation of a critically injured client in a bomb blast, the nurse finds the client is breathing spontaneously. which nursing intervention would the nurse perform in this situation? rue of false? the scope of practice for a fitness professional dictates that they can prescribe specific meal plans to clients. Mei paid $1.64 in sales tax on a purchase of $20.50. What is the sales tax rate? barrier is a feature of a product or service that customers have come to expect and entering competitors must offer the same for survival. is it reasonable to estimate that 36% of 115 is 41.4? Why or did why not ? object 1 has an irregular shape. its density is 4000 kg/m3 . part a part complete object 2 has the same shape and dimensions as object 1, but it is twice as massive. what is the density of object 2? express your answer in kilograms per cubic meter. rho2 Describe the values of C for which C has no solutions.Explain Your Reasoning /X-7/= CWILL GIVE BRAINLIEST 2. in 1954, the international organization for standardization (iso) presented the open systems interconnection (osi) model. an earthquake 45 km from a city produces p and s waves that ravel outward at 5000 and 3000 m/s, respectively. once city residents feel the shaking of the p wave, how much time do they have before the s wave arrives? What did the Zealots do? They believed they were following Gods word by welcoming foreign rule. They believed they were following Gods word by welcoming foreign rule. They avoided conflict with the Romans, but quietly spread their beliefs. They avoided conflict with the Romans, but quietly spread their beliefs. They resisted efforts to convert to a monotheistic faith. They resisted efforts to convert to a monotheistic faith. They were a group of Jews who opposed Roman rule m2 is 34 and m3 is 80. Find m1. Embedded computers usually are small and have limited hardware but enhance the capabilities of everyday devices. True or false?. Employee perceptions of how well management in an organization communicateshave little bearing on employee morale.TrueFalse An object accelerates from rest at a constant rate of 4ms- for a distance 200m. How fast is the object moving at that time? How long did take for the object to reach that velocity? what group sold its time warner stock following the ice-t body count cd release? group of answer choices nea madonna philadelphia municipal pension fund now communication that focuses on meeting the requirements of practical, everyday living serves needs screenshot shows questions HELP PLEASE ITS DUE TODAY What number has a GCF of 5 and a LCM of 210 Which sentence is an example of technical writing? A. The following passage describes the chemical properties of the organic compound. B. My opinion of the legal statute is based on the aforementioned court rulings. C. Automatic-off is disabled when the printer establishes a wireless connection. D. The sea churned and swirled, sending spray high into the air. E. Heres how my results improved, from a runners perspective. If a taxpayer does not have enough taxes withdrawn from her paychecks throughout the year to equal the total tax she is required to pay that year, she will owe the government the remaining balance. on the other hand, if the taxpayer has more money withheld for taxes than she is required to pay that year, she will receive a refund for the difference. mary has determined that, based on her annual income of $36,000, her federal income tax for the year is $5,424. mary gets paid on a bi-weekly basis, giving her 26 paychecks throughout the 52 week year. what is the minimum amount mary must have withheld from each of her 26 bi-weekly paychecks in order to avoid owing the federal government at the end of the year? a. $104.30 b. $208.62 c. $692.31 d. $1,384.62