If F(x) = x+ 6 and G(x) = x^4, what is G(F(x))?
O
A. A +x+6
B. (X+6)^4
C.x^4+6
D.x^4(x+6)

Answers

Answer 1

ANSWER

B.[tex] (x + 6)^{4} [/tex]

EXPLANATION

The given functions are:

f(x)=x+6

and

[tex]g(x)= {x}^{4} [/tex]

We want to find

[tex]g(f(x)) = g(x + 6)[/tex]

This is the composition of functions, where one function becomes the input of the second function.

We plug in x+6 into the expression for g(x) to obtain,

[tex]g(f(x)) = (x + 6)^{4} [/tex]

The correct answer is B.


Related Questions

What is the factored form of x2 − 4x − 5?

Answers

Answer:

[tex]\large\boxed{x^2-4x-5=(x+1)(x-5)}[/tex]

Step-by-step explanation:

[tex]\text{The factored form:}\\\\ax^2+bx+c=a(x-x_1)(x-x_2)\\\\x_1,\ x_2-the\ zeros\\==============================\\\\\text{We have}\ x^2-4x-5:\\\\x^2-4x-5=x^2+x-5x-5=x(x+1)-5(x+1)\\\\x^2-4x-5=(x+1)(x-5)[/tex]

2-(-8c)+24-7c simplified

Answers

Answer:

26+c

Step-by-step explanation:

The given expression 2-(-8c)+24-7c simplifies to 26 + c by removing the parenthesis, changing the sign of -8c to +8c, combining like terms, and adding the constants.

The equation 2-(-8c)+24-7c simplifies by applying the distributive property and combining like terms. We first remove the parentheses and change the sign of the term inside, which is -8c, to a positive. Then we combine the like terms, -8c and -7c. The equation simplifies to:

2 + 8c + 24 - 7c = 2 + 24 + (8c - 7c) = 26 + c

So, the given expression simplifies to 26 + c.

An online company lets you download songs for 0.99 cents after you have paid a 5 dollar membership fee. Which domain would be most appropriate to calculate the cost to download songs?

1, rational numbers greater than zero
2, whole numbers greater than or equal to one
3, integers less than or equal to zero
4, whole numbers less than or equal to zero

Answers

The most appropriate domain to calculate the cost of downloading songs is whole number greater than or equal to one.

What are whole number?

Whole numbers include all natural numbers and 0. They are real numbers that do not include fractions, decimals, and negative integers.

It is most appropriate since numbers of songs downloaded cannot be a negative or part quantity.

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Final answer:

The most appropriate domain for calculating the cost to download songs after paying a membership fee is whole numbers greater than or equal to one, as you cannot download fractional or negative numbers of songs.

Explanation:

The most appropriate domain for calculating the cost to download songs, given the information that an online company charges a $5 membership fee and then $0.99 for each song, would be option 2, which is whole numbers greater than or equal to one. The domain is referring to the number of songs you can download after the initial membership fee. Since you cannot download a fraction of a song or a negative number of songs, whole numbers make the most sense in this context. The cost for downloading songs would be the membership fee plus the cost per song times the number of songs downloaded, which is a linear relationship.

A cup of cereal can contain 480
480
milligrams of salt, which is 20%
20
%
of the recommended daily amount.

What is the recommended daily amount of salt?

Answers

480 x 5 = 2400. 2400 milligrams of salt is the recommended daily amount.

Answer:

2400 milligrams because 480 is 20% of the recommended amount

Step-by-step explanation:

20*5 = 100% so 480* 5 = 100% or recommended amount

Hope this helps!

Which of the following numbers can be expressed as repeating decimals? 3/7, 2/5, 3/4, and 2/9.

Answers

Answer:

Step-by-step explanation:

2/9 when you divide it is 0.22222222222222

Answer:

First option: [tex]\frac{3}{7}[/tex]

Fourth option: [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Repeating decimals are also known as "Recurring decimals", are those decimal numbers whose digit or group of digits repeats indefinitely.

To know which of the given fractions can be expressed as Repeating decimals, you need to divide the numerator by the denominator in each option. Then:

First option: [tex]\frac{3}{7}=0.428571428571[/tex] (It can be expressed as repeating decimal)

Second option: [tex]\frac{2}{5}=0.4[/tex]

Third option: [tex]\frac{3}{4}=0.75[/tex]

Fourth option: [tex]\frac{2}{9}=0.2222222222[/tex] (It can be expressed as repeating decimal)

Why did most Americans reject Marxism in the early 1900s? They believed that a government-run economy was best for all. They believed in a system owned and run by the individual. They believed that factory workers should make more than factory owners. They believed that the proletariat should control the means of pr

Answers

Answer:

They believed in a system owned and run by the individual

Step-by-step explanation:

In the early 1900's the majority of the Americans rejected the Marxist ideology, and they saw it as usurpation of their country and its foundations. The majority of the Americans favored the capitalism, and they saw their country as the country of opportunities where everyone can achieve everything if the person is smart enough and works hard enough. The Marxism suggested the total opposite of it, that everyone should be equal, have the same earnings, there's no prosper on a career level, so for the Americans was not attractive, and we can comfortably say that they made the right choice considering what happened in the countries that adopted this ideology.

Answer:

B They believed in a system owned and run by the individual

Step-by-step explanation: B

What is the reciprocal of 3 ?
What is the reciprocal of 11/8

Answers

Answer:

1 / 3 and 8 / 11

Step-by-step explanation:

When you find the reciprocal of something you flip the number over e.g

Find the reciprocal of 1 /2,

You ' flip it ' and it becomes 2 / 1 or 2

Answer: 1/3 and 8/11

Step-by-step explanation:

which number has the greatest value 4 1/2 4 1/6 or 4.85​

Answers

Final answer:

Among 4 1/2, 4 1/6, and 4.85, the number 4.85 has the greatest value as it has the highest decimal portion when all numbers are expressed in decimal form.

Explanation:

To find which number has the greatest value among 4 1/2, 4 1/6, or 4.85, we need to compare them directly. The number 4 1/2 converts to 4.5 in decimal form, 4 1/6 converts to approximately 4.17, and 4.85 is already in decimal form. Comparing these three numbers, it's clear that 4.85 has the greatest value because it has the highest decimal portion.

The table below represents the height of a bird above the ground during flight, with p(t) representing height in feet and t representing time in seconds

calculate the average rate of change from 3 to 9 seconds

Answers

Answer:

calculate the difference height (P) is -6 and (t) is 2.85

Δy divided by Δx = rate of change

3-9 = -6

6.23-3.41 = 2.85

then divide

2.85 / -6 = .475

Your answer will be - .475

Step-by-step explanation:

Using the table, the average rate of change from 3 to 9 seconds  is of -0.475 feet per second.

The average rate of change of a function P(x) over an interval [a,b] is given by:

[tex]A = \frac{P(b) - P(a)}{b - a}[/tex]

In this problem, we want the rate from 3 to 9 seconds, hence [tex]a = 3, b = 9[/tex].

From the table, [tex]P(3) = 6.26, P(9) = 3.41[/tex], hence:

[tex]A = \frac{3.41 - 6.26}{9 - 3} = -0.475[/tex]

Considering the units, the average rate of change from 3 to 9 seconds is of -0.475 feet per second.

You can learn more about the average rate of change at https://brainly.com/question/24313700

4708.06 rounded to nearest thousand

Answers

Answer
5,000

Explanation
1. Examine the number next to the thousands value (hundreds place)

2. Should that number be greater than 5, round the thousands value up one.

Final answer:

To round 4708.06 to the nearest thousand, we look at the hundreds place value which is '7'. Since it's higher than 5, we round up the thousands of places and the number becomes 5000.

Explanation:

The process of rounding involves deciding which multiple of a certain number is closest to the number you're trying to round. If to round the number 4708.06 to the nearest thousand, we look at the hundreds place. In our case, it's '7', a digit that is 5 or higher.

Thus, we increase the digit at the thousands place by '1' and change all the subsequent digits to '0'. Therefore, 4708.06 rounds to 5000 when rounded to the nearest thousand.

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Please help! Need to confirm my answers.
Match the exponential functions f(x) and g(x) with their key features.

Answers

Answer:

Step-by-step explanation:

Average rate of change is Δy / Δx.

For f(x):

[ f(1) - f(0) ] / (1 - 0)

(1 - 3) / (1 - 0)

-2

For g(x):

[ g(1) - g(0) ] / (1 - 0)

(4 - 3) / (1 - 0)

1

How to round 2.06 to the amount to the nearest dollar

Answers

2 because the tens digit place is below 5

it would be 2.00 it’s closer to 2.00 than 3.00

pls help me i really need it

Look at the prism and its net.

What is the surface area of this rectangular prism?

a. 112 m²
b. 140 m²
c. 280 m²
d. 292 m²

Answers

Answer:

The answer would be C

Step-by-step explanation:

have a wonderful day, please mark brainlest and thank me.... I do flvs as well

Answer:

Step-by-step explanation: SA= Arec1*2+Arec2*2+Arec3*2

SA=l*w*2+l*w*2+l*w*2

SA=4*14*2+4*5*2+5*14*2

and you do the math

                                               

It is asking for the standard form for the quadratic function.

Answers

well factored would be f(x)= (x+4)(x+2) and standard for would be

f(x)= x^2+6x+8

How will you write 7^5 as a multiplication expression?
A.
7 * 5
B.
7*7*777
C.
5 x 5 x 5 x 5 x 5 x 5 x 5

Answers

Answer:

The answer is 7*7*7*7*7

Step-by-step explanation:

The correct way to write 7^5 as a multiplication expression is by writing it as 7 multiplied by itself 5 times, which is 7 x 7 x 7 x 7 x 7.

The question asks how to write 7^5 as a multiplication expression. To correctly express 7^5, we represent it as 7 being multiplied by itself 5 times. So, the correct way to write 7^5 as a multiplication expression is 7 \u00d7 7 \u00d7 7 \u00d7 7 \u00d7 7. This clearly demonstrates the concept of an exponent, where the base (7) is multiplied by itself a certain number of times (5 times in this case), which is fundamentally different from just multiplying 7 by 5.

The width of a rectangle is y feet long. The rectangle is 4 feet longer than it is wide. What is the area of the rectangle? Which expression represents the area?​

Answers

Answer:

y²+4y

Step-by-step explanation:

y multiplies with (y+4)

y times y is y²

y times 4 is 4y

That leaves you with y²+4y

Answer: [tex]y^2+4y[/tex] expresses the area.

Step-by-step explanation:

Let the width of a rectangle be 'y' feet.

Let the length of a rectangle be 'y+4' feet.

As we know the area of rectangle :

Area of rectangle is given by

[tex]Length\times breadth\\\\=y\times (y+4)\\\\=y^2+4y[/tex]

Hence, [tex]y^2+4y[/tex] expresses the area.

Explain how you drew and used a tape diagram to model and solve problem 1.

Answers

Answer:

800

Step-by-step explanation:

you follow the draeing above so you know that 4+5= 9 so u do 1800÷9 which equals 200 so u do 200×4=800

Answer:

Step-by-step explanation:

you follow the draeing above so you know that 4+5= 9 so u do 1800÷9 which equals 200 so u do 200×4=800

What is the point slope form of a line with slope 3/2 that contains the point (-1,2) ?
The options are in the picture ... please help !

Answers

y-2=3/2 (x+1) must be first

Draw a triangles with sides of 9 cm, 7 cm, and 5 cm. Find its perimeter

Answers

The perimeter is 21 cm.

thanks

Answer:

12 + √74 cm

Step-by-step explanation:

The perimeter (literally meaning "around measure") is the length around an area, shape, or boundary. Here, we have a right triangle, and the legs of that right triangle measure 5 cm and 7 cm. Using the Pythagorean theorem, we can find the hypotenuse (we'll call it h):

[tex]5^2+7^2=h^2\\25 + 49=h^2\\74=h^2\\\sqrt{74}=h\\[/tex]

Adding all the lengths together, we find a perimeter of

5 + 7 + √74 = 12 + √74 cm

Lawrence got a car loan from a bank, with the car as collateral. What kind of loan did he get?

A. a secured loan
B. an unsecured loan
C. a fixed-rate loan

Answers

The answer is A. A secured loan, hope this helps!

Answer:A, a secured loan

Step-by-step explanation:

Solve the equation below algebraically for the exact value of x.
6 - 2(x + 5) = 42​

Answers

Answer:

x= -19

Step-by-step explanation:

6-2(x+5)=42

6-2x-10=42

-4-2x=42

-2x=38

x= -19

What is the solution of square root x^2 + 49=x+5

Answers

Answer:

-44

Step-by-step explanation:

√x²+49=x+5

X+49=x+5

x-x=5-49

=-44

Answer:

x = 12/5

Step-by-step explanation:

[tex]\sqrt{x^{2}+49 } = x +5[/tex]

Square both sides: ([tex]\sqrt{x^{2} +49}[/tex])[tex]^{2}[/tex] = (x+5)[tex]^{2}[/tex]

[tex]x^{2} + 49 = (x+5)(x+5)\\[/tex]

[tex]x^{2} +49[/tex] = [tex]x^{2} + 10x + 25\\[/tex]

49 = 10x + 25

24 = 10x

[tex]\frac{12}{5}[/tex] = x

Students were surveyed to find out the most popular pizza topping. According to the bar graph, how many students were surveyed?

A) 42
B) 44
C) 46
D) 48

Answers

The total number of students surveyed = 44 students

The answer is option D.

What is a bar graph?

A bar graph is a graph that presents categorical data with rectangular bars. The heights are proportional to the values that they represent. The bars can be plotted vertically or horizontally.A bar graph shows comparisons among different categories.

According to the given graph, the total number of students is equal to the sum of all the students in each vertical column.

∴tota students surveyed=12+8+9+15=44 students answer.

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Determine which statements are true regarding the given solid. Check all that apply.

The three-dimensional solid is a hexagonal pyramid.

The three-dimensional solid is a hexagonal prism.

The solid can be created by stacking the same-size hexagons vertically.

The solid can be created by stacking dilated hexagons vertically.

Point D is the apex of the pyramid.

Answers

option A, D, and E

I just took it on edge

The true statement regarding the shape are:

The three-dimensional solid is a hexagonal pyramid.The solid can be created by stacking dilated hexagons vertically.Point D is the apex of the pyramid.

Base: The bottom surface of a pyramid is a polygonal shape, such as a square, rectangle, triangle, or any other polygon. The base is typically larger in area compared to the other faces.

Faces: Pyramids have triangular faces that slope inward from the edges of the base to a single point at the apex. The number of faces depends on the number of sides of the base polygon.

Vertices: A pyramid has several vertices where the edges of the base meet the triangular faces, and one vertex where all the triangular faces converge at the apex.

Edges: The edges of a pyramid are the lines where the faces intersect. For example, a square pyramid has 8 edges (4 from the base and 4 connecting the base to the apex).

If 90 students were surveyed and 50 said they would buy a wristband, how many wristbands should Monty order for the school of 1800 students?

Answers

He should buy 1000 wristbands.

Since 50/90 students said they would buy a wristband, we can set up this proportion.

[tex]\frac{50}{90}[/tex]  [tex]\frac{x}{1800}[/tex]

multiply 50 * 1800 divided by 90 = 1000

Please answer correctly thank you!

Answers

If you rotate the triangle so that the 6 is on the bottom, the two sides are both 6.2.

Because the two sides are equal the two angles at the bottom would also be equal. One is given as 61 degrees, so the other bottom angle is also 61 degrees.

The three inside angles of a triangle need to equal 180, so X would equal 180 minus the two bottom angles.

X = 180 - 61 - 61 = 58 degrees.

what are expressions are equivalent to 6x-18y

Answers

Answer:

Step-by-step explanation:

6 is common to both terms, so 6x - 18y is equivalent to 6(x - 3y).

Given the function rule f(x) = x2 – 3x + 2, what is the output of f(-2)?
.
A. -8

B. 0

C. 4

D. 12​

Answers

Answer:

C

Step-by-step explanation:

what is the value of the expression 2 squared + 4 squared divided by 2 squared​

Answers

Answer:

5

Step-by-step explanation:

2² + 4² = 4 + 16 = 20

20 ÷ 2² = 20/4 = 5

What does |a|=|b| mean?

Answers

Answer:

  a = ±b

Step-by-step explanation:

The vertical bars are the symbol for "absolute value", so the equation is saying, "the absolute value of 'a' is equal to the absolute value of 'b'." The absolute value is the magnitude of a number, so, for example, |-3| = 3.

If the magnitudes of two numbers are the same, they may be the same value, or they may differ in sign.

Answer:

See below.

Step-by-step explanation:

The 2 vertical lines about  the letters mean ' the absolute value of' . That is if a  or b have negative values then the absolute value will be the positive . For example if a = -4 then |a| = 4. The absolute value is always positive.

Therefore, for example, if a is 2 and b = -2 then |a| will be equal to |b|, because they both have a value of 2.

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