Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5

A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5

Answers

Answer 1

Answer:

[tex]f(x) = 2x + 5[/tex]

[tex]g(x) = (x - 6)^2[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Which will give:

[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

Equate the expression in bracket to g(x)

[tex]g(x) = (x - 6)^2[/tex]

Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]

[tex]f(x) = 2x + 5[/tex]


Related Questions

% of 400,000 = 100,000

Answers

Answer:

25%

Step-by-step explanation:

100,000/400,000 x 100

= 1/4 x 100

= 25%

Hence, 100,000 is 25% of 400,000

Feel free to mark this as brainliest :D

Answer:

x/100 x 400,000 = 100,000

x100                            x100

400,000x = 10,000,000

Divide by 400,000 on both sides:

X = 25%

2. Caleb wants to tile the floor of his fort, the dimensions are 3mm by 4m. The tiles he
wants to buy come in squares. The perimeter of the tile is 80cm.
How many tiles will Caleb need?
tiles

Answers

Answer:

Number of tile need = 300 tiles

Step-by-step explanation:

Given:

Dimensions of floor = 3 m by 4 m

Perimeter of square tile = 80 cm

Find:

Number of tile need

Computation:

Perimeter of square tile = 4(Side)

80 = 4(Side of tile)

Side of tile = 80 / 4

Side of tile = 20 cm

Side of tile = 0.2 meter

Area of tile = 0.2 x 0.2

Area of tile = 0.04

Area of floor = 3 x 4

Side of tile = 12 square meter

Number of tile need = 12 / 0.04

Number of tile need = 300 tiles

Which product is represented by the model below

Answers

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

Then multiply

3/8*2/1=6/8

Hope that helps!

450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (GPA) was 2.96, and the standard deviation was 0.21. What is the margin of error, assuming a 70% confidence level, to the nearest hundredth

Answers

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that [tex]\sigma = 0.21[/tex]

Sample of 450:

This means that [tex]n = 450[/tex]

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]

[tex]M = 0.01[/tex]

The margin of error is of 0.01.

Plsss help no links or files pls will give brainlest

Answers

Answer:

4 or....

Step-by-step explanation:

I think its 4. maybe not

4 I took it and got it right lol the guy that answered was right, yw

the polynomial x^+3x - 1 is a factor of x^3+2x^2-5x-6​

Answers

Answer:

If its x^2 + 3x - 1 it is not a factor.

Step-by-step explanation:

x^2+3x - 1  is a factor of x^3+2x^2-5x-6​?

Try dividing:

x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6​( x - 1

                  x^3 + 3x^2 - x

                          - x^2  -4x - 6

                          -x^2 - 3x + 1

                                   - x - 7  <------- remainder.

Please answer what is 1 2 3 4 5 no links I forgot to do my homework

Answers

1. 40°

2. 50°

3. 45°

4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half

b. 70°

c. angle TPQ = angle OPQ ÷2

angle TPQ = 140÷2= 70°

how many different California license plates can be made if there has to be one number followed by three letters followed by three more numbers

Answers

Answer:

175,760,000 different California license plates can be made.

Step-by-step explanation:

Possible outcomes for each number of letter:

10 numbers(from 0 to 9) and 26 letters.

Format of the plate:

Number - letter - letter - letter - number - number - number

The numbers of possible outcomes are:

10 - 26 - 26 - 26 - 10 - 10 -10

How many different plates?

We multiply these values. So

10*26*26*26*10*10*10 = 175,760,000

175,760,000 different California license plates can be made.


HELP ASAPPPP!!!!You are making a picture frame in the craft cabin at summer camp. The frame measures 9 inches by 12
inches. You measure the diagonal and it is 17 inches Is the frame rectangular? Explain your reasoning.

Answers

Answer:

yes

Step-by-step explanation:

euhm ... did u just asked if a figure with h=9inches and b=12inches is rectangular???

Does it matter what the diagonals are etc?

if the frame has angles of 90° and it has two different lengths then it has to be rectangular. The sides of a square would have the same lengths.

8(2n - 5) = 3(6n - 2)

Answers

Answer:

n=-17

Step-by-step explanation:

8(2n-5)=3(6n-2)

1) Distributive property

16x-40=18x-6

16x−40=18x−6

2) Subtract 16x16x from both sides.

-40=18x-6-16x

−40=18x−6−16x

3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.

-40=2x-6

−40=2x−6

4) Add 66 to both sides.

-40+6=2x

−40+6=2x

5) Simplify -40+6−40+6 to -34−34.

-34=2x

−34=2x

6) Divide both sides by 22.

-\frac{34}{2}=x

2

34

=x

7) Simplify \frac{34}{2}

2

34

to 17

−17=x

8) Switch sides.

x=−17

pls help asap thanks <3

Answers

Answer:59

Step-by-step explanation:

beacause you need to added them all together

Item 3 Which measurement is equivalent to 1 kilometer? 10 meters 100 centimeters 1,000 meters 1,000 centimeters

Answers

Answer:

1,000 meters

Step-by-step explanation:

The women athletes in the BIG10 Schools have a long-term graduation rate of 73%. Over the past several years, a random sample of 23 women showed that 19 graduated. Does this indicate that the population proportion of women athletes who graduate from the BIG10 is now more than 73%

Answers

Answer:

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

Step-by-step explanation:

Here,  

The null hypothesis is p = 0.73

Alternate hypothesis is p> 0.73

The level of significance = 0.10 or 10%

Sample size = 23

Sample proportion = 19/23 = 0.826

Z test statistics  

= (p’-p)/Sqrt ((p(1-p)/n))

Substituting the given values, we get –  

Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037

Thus, the P values for Z>1.037  

= 1- P(Z less than or equal to 1.037)

= 1- 0.8501

= 0.150

P-value  is greater than the  level of significance

We will accept the null hypothesis

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

A poll states that Hillary Clinton will receive 43 percent of the vote. There is an 8 percent margin of error. What do you think of the poll

Answers

Step-by-step explanation:

This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.

Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.

Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.

4(-8x + 5) = -32.x - 26
solve the equation

Answers

Answer:

-46

Step-by-step explanation:

4(-8x + 5) = -32x - 26

-32x + 20 = -32x - 26

-32x + 32x = -26 - 20

x = -46

Answer:

-32x+20=-32x-26

20=-26

so unequal or undefined

hope this helps

have a good day :)

Step-by-step explanation:

THIS IS WORTH 30 POINTS

1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?

Answers

It will be at (4,-6)

Answer:

your awnser would be [4, −6]

Step-by-step explanation:

hope this helps

The moving company
charges extra money to move boxes weighing more than
25 pounds. Circle the packages that weigh less than 25 pounds.
Put an X on the packages that weigh more than 25 pounds.
320 ounces
480 ounces
288 ounces
368 ounces
352 ounces
432 ounces

Answers

480 ounces and 432 ounces exceed the 25 pound limit.

the rest are under 25 pounds.

chhering deposite rs. 40000 in a bank at the rate of 5% p.a. if he has to pay 5%of the total interest as tax for the bank how much will he get after 4 years​

Answers

Answer: Rs 7600

Step-by-step explanation:

The interest will be calculated as:

= Principal × Rate × Time

= 40000 × 5% × 4

= 40000 × 0.05 × 4

= 8000

Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:

= 8000 - (5% × 8000)

= 8000 - (0.05 × 8000)

= 8000 - 400

= 7600

Therefore, he'll get Rs 7600

What is the opposite of dividing by 21? A. dividing by 21 B. multiplying by 21 C. subtracting 21 D. adding 21​

Answers

Answer:

the correct answer is option B

Make a line plot of the measurements in the table. Then find the fair share.
Table:
Amount of Sports drink (gallons)
1 over 4
1 over 2
1 over 3
1 over 2
1 over 4
1 over 3
1 over 3
1 over 2

Answers

Answer:

its nothing 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8 or 1/3 if you round it.

SOMEONE PLEASE HELP!

Answers

I dont know Im sorry

Step-by-step explanation:

I just want points in not that smart

On Tuesday, 4 out of every 10 people who entered a store purchased something. If 8,800 people entered the store on Tuesday, how many people purchased something?

Answers

The correct answer is 3,520 people purchase something. Explanation: 4/10 = .4, so 8,880 x .4 = 3,520

PLEASE HELP DUE IN 2 HOURS AND EXPLAIN STEP BY STEP SO I CAN EASILY UNDERSTAND PLEASE ​

Answers

They are vertical angles meaning they both have the same angle thus you can set the two equations equal to each other

9y+7 = 2y+28

Solve for y

Plug your y into one of the equations and you’ll get your angle

What side has the same length as BC?

Answers

Answer:

DE

Step-by-step explanation:

You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.

equations equivalent to x/4+1/3=5/6

Answers

If I rewrite this it would be
3x/12+4/12=10/12
3x=6
So your answer would be
2/4+1/3=5/6
Or
1/2+1/3=5/6
X=2

PLS HELP!! need the answer asap

Answers

The answer would be C) P,D and A

Find the equation (in terms of x ) of the line through the points (-3,4) and (1,-8)

Answers

Answer:

A(-3,4) B(1,-8)

y-y1/x-x1 =y2-y1/x2-x1

y-4/x--3 = -8-4/1--3

y-4/x+3 = -12/1+3

y-4/x+3 =-12/4

y-4/x+3 = -3

y-4 = -3(x+3)

y-4=-3x-9

y+3x +9-4=

y+3x+5=0

Answer:

y = -3x - 5

Step-by-step explanation:

-3, 4 and 1, -8

1 - -3 = 4

-8 - 4 = -12

[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3

gradient/slope = -3

now substituting in the point -3, 4 to find the y intercept:

4= -3 x -3 + c

4 = 9 + c

-5 = c

y intercept = -5

equation is y = -3x - 5

For every 1/4 kilometre of a walkathon a walker drank a bottle of water. How much water did the walker drink after walking 3 kilometres?

Answers

Answer:

12 bottles of water.

Step-by-step explanation:

Since each walker drinks a bottle of water every 1/4 kilometre, we know that one walker drinks 4 bottles of water every kilometre since 4/4 = 1. We are trying to find how much water they drank after walking 3 kilometres, so we would multiply 3 by 4 getting us an answer of 12.

x^2-16=0 solve for all real values of x

Answers

Hi there! Use the difference of two squares formula below:

[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]

You need to know that what number times itself and get 16. 16 comes from 4×4 or 4².

Then,

[tex] \large{ {x}^{2} - 16 = (x + 4)(x - 4)}[/tex]

[tex] \large{(x + 4)(x - 4) = 0}[/tex]

Solve the equation for all real values of x.

[tex] \large{x = 4, - 4}[/tex]

If you don't like using a formula. You can do this:

[tex] \large{ {x}^{2} - 16 = 0} \\ \large{ {x}^{2} = 16} \\ \large{x = \pm \sqrt{16} } \\ \large{x = \pm 4}[/tex]

If you remember the square root well, the square root of 16 is 4×4. Pull out the two 4's and thus the square root of 16 is 4.

For the square both sides method above (second method), we can define that:

[tex] \large \boxed{ \large{ {x}^{2} = a \longrightarrow x = \pm a }}[/tex]

Answer

x = 4,- 4 (You can answer x = ±4

A recipe uses 100 g of flour, 100 g of sugar and 80 g of butter.
8. Damia has 120 g of butter and wants to use it all in this recipe. What total weight of flour and sugar should he use in grams?
9. Damia realizes he only has 60 g of sugar, so can’t use all of his butter. How many grams of butter will he have
left over when he’s finished making the recipe?

Answer for question number 8 is 300 gms.
Can someone help to solve question number 9 in step by step please?

Answers

Answer:

600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes

120 cakes could be made with 1 kg of butter

Step-by-step explanation:

Here, 72 cakes = 6 dozen cakes

( since 12 cake = 1 dozen cake ).

a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).

• Butter - 150/1.5 = 100 g per dozen

For 6 dozen :

100g x 6 = 600 g

• Flour - 500/1.5 = 333.33 g per dozen

For 6 dozen :

333.33 g x 6 = 2000 g

• Sugar - 50/1.5 = 33.33 g per dozen

For 6 dozen :

33.33 x 6 = 200 g

• Currants - 100/1.5 = 66.67 g per dozen

For 6 dozen :

66.67 x 6 = 400 g

b. It is given that,

150g butter is required to make = 18 cakes

Then by using unitary method, we get,

1 g of butter is required to make = 18/150 cakes

Since, 1 Kg = 1000 g

Then,

1000 g of butter is required to make = (18/150) × 1000

= 120 cakes

Hence, with 1 kg of butter 120 whole cakes can be made.

Hope this answer helps you :)

Have a great day :)

Mark brainliest

He will have 32 g of butter left over.

He only has 60 g of sugar which is only 60% of the recipe amount.
60% of 80 g of butter = 48 g used
80 - 48 = 32 g
Other Questions
A blue whale swims at -26.3 meters. A bald eagle flies at 17.8 meters.Which animal matches each description?located at great altitudeandcloser to sea level Apple is constantly striving to introduce new products into the marketplace. At the initial stage, Apple design teams are separated from the rest of the organization and housed in a separate facility to enhance the ability to develop new concepts. This approach has proven to enhance the ability to come up with new concepts in the _____ stage of the new-product development process. Chemical energy in the form of food is changed into what? If 8,a,b,27 are in geometric sequence, find the value of a and b. What drug is used to control the populace of Brave New World?A.) ProzacB.) SomaC.) EcstasyD.) None of these are correct sususususususussuusususussuussusuususususususususuususususu why to write stories A stock was priced [tex]$12 | 3/8[/tex] per share. It rose in price by [tex]$3 | 1/4[/tex] per share. What was its new price?A. [tex]$15 | 5/8\\[/tex]B. [tex]$9 | 1/4[/tex]C. [tex]$15 | 1/3[/tex]D. [tex]$9 | 1/8[/tex] How can data be calculated? What part of the body breaks down food pieces to glue close or glue close pieces. (A. Stomach) ( B. Intestines) ( C. Mouth) The pastor divided the 3,000 circulars among 15 teenagers. How many circulars did each young person receive? (Write the explanation and answer) Consider an electron confined in a region of nuclear dimensions (about 5 fm). Find its minimumpossible kinetic energy in MeV. Treat this problem as one-dimensional, and use the relativistic relationbetweenEandp. Give your answer to 2 significant figures. (The large value you will find is a strongargument against the presence of electrons inside nuclei, since no known mechanism could contain anelectron with this much energy.) Vista Company installed a standard cost system on January 1. Selected transactions for the month of January are as follows. 1. Purchased 18,400 units of raw materials on account at a cost of $3.90 per unit. Standard cost was $3.80 per unit. 2. Issued 18,400 units of raw materials for jobs that required 18,100 standard units of raw materials. 3. Incurred 16,000 actual hours of direct labor at an actual rate of $4.10 per hour. The standard rate is $4.60 per hour. (Credit Factory Wages Payable). 4. Performed 16,000 hours of direct labor on jobs when standard hours were 16,190. 5. Applied overhead to jobs at the rate of 100% of direct labor cost for standard hours allowed.Journalize the January transactions. Which example best states an argument rather than an explanation? please share me answer Part a which statement identifies the central idea of the text students that reported having meaningful What effect did it have on the Southern white society and economy? Jorge tightens a bolt on his bicycle with a wrench that is 0.20 m long. If he pulls perpendicularly on the end of the wrench with a force of 140 N, how much torque does he apply ? Anna bought 3 types of fruit for a fruit salad. She paid three times as much for blueberries as for pears and $2.50 less for strawberries than for blueberries. If The total cost was $13.25 how much did Anna spend on each type of fruit need help with this question.