f(x)=x^3+8g(x)=4x^3−5x−8
find (f+g)(x)

A.
5x³-5x

B.
5x³-5x+16

C.
5x³-5x-16

Answers

Answer 1

The value of the sum of the functions f(x) and g(x), (f + g)(x) is 5x³ - 4x.

What is a function?

The outputs for a certain set of inputs can be referred to as a function.

A function's inputs are referred to as its independent variables, while its outputs are referred to as its dependent variables.

Given, f(x) = x³ + 8 and g(x) = 4x³ - 5x - 8.

Let, f(x) = x³ + 0x + 8.

We know, (f + g)(x) = f(x) + g(x).

Therefore, (f + g)(x) = (x³ + 0x + 8) + (4x³ - 5x - 8).

(f + g)(x) = x³ + 4x³ + 0x - 4x + 8 - 8.

(f + g)(x) =  5x³ - 4x.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ1


Related Questions

Plz make sure when you put an answer it is correct I’ll give you brainliest !

Answers

Answer:

C. 35 degrees

Step-by-step explanation:

Answer:

35 is your answer 21 plus 51 plus 73 plus 35

Which expression can be used to find measure angle R

Answers

Answer:

cos-1(-4/14)

Step-by-step explanation:

If

4.5=r

3.5=s

2=t

By law of cosines:

[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]

Simplify the following rational expression and express in expanded form.
6
m
2

5
m
y

y
2
12
m
+
2
y
=
12m+2y
6m
2
−5my−

Answers

Answer:

6m²-5my-12m

Step-by-step explanation:

dont get it oooo

Answer:

On khan Academy,

it is m-y/2

pls help quick what is 1/8+2/5

Answers

Answer:

21/40

Step-by-step explanation: here is a calculator to help you with fractions: https://www.calculatorsoup.com/calculators/math/mixednumbers.php

21/40 that’s the answer

Help! Il give you brainlest

Answers

with what ?? there’s no attachment

Answer:

What?  there is no question here

Step-by-step explanation:

which inequality is true?

Answers

I’m not sure but I really think is A but ion kno if I’m wrong

Help Please I put 70 pts on this
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:


Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)

Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)

Part C: Describe the constraints of the domain. (3 points)

Answers

Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

 B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

Step-by-step explanation:

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.

__

B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...

 (f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

_____

* If we take the peak profit to be $270, we can write f(x) as ...

 f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.

Step-by-step explanation:

A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4

B) average slope: ≈50, about $50 increased profit for each $1 increase in price.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.

The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.

B) The value of f(1) from the graph to be about 120, so the average rate of change is about.

(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50

The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.

If we take the peak profit to be $270, we can write f(x) as:

f(x) = 16.875x(x -8)

Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ5

Katia is baking. She uses 2 ⅛ cups of sugar for cookies and 1 ⅗ cups of sugar for a cake. How much total sugar did Katia use?

Answers

Answer:

3.725

Step-by-step explanation:

because you add 2.125 (2 1/8) and 1.6 (1 3/5) to get 3.725

what is the slope of the graph in the picture?

Answers

The slope is (2,4)
Seeing how it’s a positive line and you can’t see the other numbers but you can see that it’s going up by 2 every time

Answer:

slope is 2

Step-by-step explanation:

Pick any two points

say point (0,0) and point (2, 4)

to find slope, subtract the x and y coordinates as a fraction.

y on the top, x on the bottom

y/x = (4 -0)/ (2-0) = 4/2 = 2

Joseph bought a fish tank shaped like a rectangular prism with the dimensions shown below. What is the area in square inches of the shaded top of the rectangular prism?

Answers

Answer:

The surface area is 310 square inches

Step-by-step explanation:

Given [Missing dimensions]

[tex]L = 5in[/tex] -- Length

[tex]W = 10in[/tex] -- Width

[tex]H = 7in[/tex] -- Height

Required

Determine the surface area

The surface area (A) of a rectangular prism is:

[tex]A = 2(LW + LH + HW)[/tex]

[tex]A = 2*(5*10 + 5*7 + 7*10)[/tex]

[tex]A = 310in^2[/tex]

What are the degree and leading coefficient of the polynomial?

Answers

Answer:

Degree: 9

Coefficient: -1

Step-by-step explanation:

The degree of a polynomial is equivalent to the highest degree of all its terms.

The term with the highest degree in this polynomial is y^9

what that person said ya

A company is going to make a storage container with sheet steel walls The container will be in the shape of a rectangular prism If the sheet steel costs 30 for each square meter how much will the sheet cost it total The sides are 7m 3m and 3m

Answers

Answer:

3060

Step-by-step explanation:

First we need to calculate the total surface area of the prism

TSA  = 2(lw+wh+lh)

l is the length of the prism

w is the width of the prism

h is the height of the prism

Let

L = 7m

W = 3m

H = 3m

Substitute

TSA = 2(7(3)+3(3)+7(3))

TSA = 2(21+9+21)

TSA = 2(30+21)

TSA  = 2(51)

TSA  = 102m²

Hence the total surface area of the prism is 102m²

Since sheet steel costs 30 for each square meter, then;

1m² = 30

102m² = x

Cross multiply

x = 30*102

x = 3060

Hence the sheet with the dimension will cost 3060

Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?

Answers

Answer:

By 2020, there will be 1,147 species of birds left

Step-by-step explanation:

The general model for an exponential decrease is;

y = I(1 - r)^t

where in this case;

y is the number of bird species at a particular decade from the initial

I is the number of birds initially at 1990

r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015

t in this case will be the number of decades after the initial

Mathematically, a decade is 10 years

The difference between 2020 and 1990 is 30

The number of decades in 30 years is 30/10 = 3

so t will be 3 here

Substituting these values into the equation, we have

y = 1200(1-0.015)^3

y = 1200(0.985)^3 = 1,146.8

To the nearest whole number, this is 1,147

Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
the bank with an annual percentage rate (APR) of 3.8%. She is financing it over 30
years and making monthly payments. What is the monthly payment?

Answers

ms. morrison would have to pay $698.94 monthly for the next 30 years

What type of transformation has occurred from f(x) to g(x) on the graph below? (please help ASAP will give brainliest!!)

Rotation

None of these

Reflection

Translation

Answers

Answer:

defenitely not reflection im thinking either a or b leaning more towards a tho

Step-by-step explanation:

Answer:

ROTATION

Step-by-step explanation:

I GOT IT CORRECT ON TEST :))

(x^10)^2/x4 simplify ​

Answers

Answer:

x^16

Step-by-step explanation:

=> x^20 / x^4

=> x ^ 20-4

=> x^16

Please mark my answer as the brainliest for further answers :)

what is the awnser to 65.9- 45.902=

Answers

Answer:

19.998? or is there something else to it

Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.


Answers

Answer:

x = 2, y = -1

Step-by-step explanation:

Assuming it should be y not g

y = -2x + 3

-2y = -6x + 14

y = 3x - 7

-2x + 3 = 3x - 7

10 = 5x

x = 2

y = -1

Describe the translation below using words and then write a rule for it.

Answers

The transformation of the figure is a translation. The original figure moves over 2 squares, then down once. The rule would be (x-2, y-1)

I’m pretty sure the answer is correct but my wording may not be so good :|

Hey can someone tell me what -3x^2(14x^2-2x-8) equals

Answers

Answer:

-42x^4 + 6x^3 + 24x^2

Step-by-step explanation:

Let A = (3,5,7,9,11,13) B=( 3,5,9,11) , C=(5,9,13)
(13)=B
A. True
B. False

Answers

Ist true hope that helps have a great one day in life

Write the equation of the line that passes through the points (3, 4) and (5, 8)

Answers

Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-4)/(5-3)

m=4/2

m=2

y-y1=m(x-x1)

y-4=2(x-3)

y=2x-6+4

y=2x-2

It's urgent!!!
Solve 5a - 2b =7 and 5a + 2b =14 simultaneously​

Answers

Here’s my work for your question

Samantha and Luis are attempting to dentermine the average number of library books that seventh-grade students check out at one time. Samantha surveys every other seventh grade students

Answers

Answer: Your question is incomplete

But if the attached image is the complete question “whose sample is the most random”, then your answer is:

Luis’ sample.

Step-by-step explanation:

A random sample is one where each member is selected at random.

It is the kind of sampling where each member has an equal chance of being selected.

Samantha and Luis are trying to determine the number of library books that seventh graders check out. Their focus is;

1.) Seventh graders and

2.) Library books

Samantha surveys seventh graders leaving the library while Luis surveys seventh graders at random in the school cafeteria.

Samantha’s survey is more focused because each member of her sample was leaving the library meaning that they had handled books.

But Luis’ sample is more random because he takes his survey from all seventh graders (seventh graders in the cafeteria). With his random sampling, there is a high probability that each member never handled library books.

r+b=7
3.75r+2.75b=22.25

Answers

Answer:

Step-by-step explanation:

hello :

r+b=7... (*)

3.75r+2.75b=22.25.... (**)

use (*) :  r = 7 - b

put this value in (**) :

3.75(7 - b)+2.75b =  22.25

26.25 -375b +2.75b = 22.5

-375b +2.75b = 22.5 - 26.25

- b = -3.75

so : b  = 3.75

but : r = 7 - b

r = 7 - 3.75

r = 3.25

anybody know how to do this?????

Answers

Answer:

[tex]x = 30[/tex]

Step-by-step explanation:

In order A to be parallel to B, our alternate interior angles must be equal.

This means that

[tex]5x = 3x + 60[/tex]

[tex]2x = 60[/tex]

[tex]x = 30[/tex]

find the value of each variable

Answers

i’m pretty sure x is 16 and y is 28

PLEASEPLEASE ANSWER

and if i get any more bots answering with links im gonna cry ive put this question 5 times

Answers

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

find the quotient 12/15÷6/11​

Answers

Answer:

.8

Step-by-step explanation:

What is the slope of the line below?
The image is a graph of an x-axis and a y-axis. A line is drawn which passes through the points (2,3) and (-2,-7).

A. 5
B. 0.2 or 15
C. 2.5 or 52
D. 0.4 or 25

Answers

Answer:

The awnser is C. but please know I may be wrong

Step-by-step explanation:

C is the correct answer I think
Other Questions
How many almonds in the cup? (1/4 cup) Help me Question 2: Calculate the surface area of this net (remember to include your unit ofmeasure which is always squared with area)3"3"3"3"3"3"3"Answer Section: ian charges $15 per hour to landscape. if ian hired for more then six hours, he will reduce the cost by $1.50 per hour. write an expression to show the total cost of hiring ian for h hours if he landscapes for more then six hours? What is the greatest common factor of 36x^3-9x +18zy^2?? Solve -2 and 1/3 - (-5)Will give brainliest 3s+2t3 =c7s5t =4 Carlos learns that all living things have cells with the same system of genetic material. Scientists have concluded that this shows that all living things had a common ancestor.Carlos finds this difficult to understand as he looks at pictures of a dog and snake. He cannot see many similarities between them, but what shows evidence of their common evolutionary past? A. DNA B. gene transfer C. natural selection D. endosymbiosis (HELP NEEDED ASAP Will give brainliest) What is the lateral surface area? (all square inches)80866092 true or false:conflict emerges when cultures have different views on values, beliefsand business protocols. At December 31 of the current year, Sunland Corporation had a number of items that were not reflected in its accounting records. Maintenance and repair costs of $900 were incurred but not paid. Utilities costing $370 were used but not paid, and use of a warehouse space worth $2,070 was provided to a tenant who had not been billed as of the end of the month. Record the required adjusting entries related to these events. what element has 5 protons, 7 electrons, and 6 neutrons What is the perimeter of this trapezoid? If the second of three consecutive integers is subtracted from 135, the result is the sum of the first and third. What are the integers? Greg's family is planning a trip, and want to choose the method of transportation that travels with the most speed. Which should Greg'sfamily choose? (speed = distance time)A, a bus traveling 60 km every two hoursO B. a car traveling 60 km every four hoursO C. a train traveling 120 km every four hoursOD. a plane traveling 120 km every two hours Match the logical fallacy to the correct definition. (15 points)Column AColumn B1.Authority2.Slippery Slope3.Hasty Generalizationa. Based on insufficient evidenceb. Uses someone who is not an expert on theissueC. Claims that one action leads to a series ofundesirable events what is meant by price discrimination and why is it important to monopolies? The base figure in a mandala design is a nine-pointed star. Find the measure of each arc of the circle circumscribed about the star. does the mercury not have fixed shape and volume at 20 degree Gale and Katniss have very different opinions when it comes to the plan and each puts up a good argument as to whether or not the people should be given the chance to surrender. Whose side do you agree with and why? Can someone help me solve?A. 72B. 4.5C. 144D.9