[tex]f(x)=|3x-5|+7x\\g(x)=-2x+9\\what is \\ (f+g)(x)[/tex]

Answers

Answer 1

Given:

The functions are:

[tex]f(x)=|3x-5|+7x[/tex]

[tex]g(x)=-2x+9[/tex]

To find:

The function [tex](f+g)(x)[/tex].

Solution:

We have,

[tex]f(x)=|3x-5|+7x[/tex]

[tex]g(x)=-2x+9[/tex]

We know that,

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

On substituting the values of given functions, we get

[tex](f+g)(x)=|3x-5|+7x+(-2x+9)[/tex]

[tex](f+g)(x)=|3x-5|+7x-2x+9[/tex]

[tex](f+g)(x)=|3x-5|+5x+9[/tex]

Therefore, the required function is [tex](f+g)(x)=|3x-5|+5x+9[/tex].


Related Questions

HELP PLEASE!!!!!! ITS AREA AND PERIMETER THWRE ARE 5 PHOTOS PLEASE HELP <3

Answers

Answer:

Step-by-step explanation:

1. 670

2. 25500

3. 140.55

4. 54

5. 159.5

Q2: 160 + 120 + 210 + 70 + 90 + 90 = 740

Q3:  (160 x 120) + (70 x 90) = 25500

          19200     +     6300

Q5: As = 1/2 [tex]\pi[/tex] (6cm)^2

(6cm)^2 = 36cm

1/2 [tex]\pi[/tex] (36)

\pi = 3.14159 x 36 = 113.09 / 2 = 56.54 cm^2 area

12 x 7 = 84 + 56.54 = 140.54cm^2

Q6: 11 + 9 + 20 + 14 = 54

Q7: 9 x 11 = 99

11 x 11 = 122 / 2 = 61         99 + 61 = 160^2

Which of the following options have the same value as 20 percent of 45

Answers

Answer:

Answer below

Step-by-step explanation:

20/100 * 45

1/5 * 45

0.2 * 45

Hope it helps.

Answer this for brainilest and 30points (no links or internet answer or you will get flagged

Answers

F should equal 3 I believe

What is the surface area?
5 ft
8 ft
8 ft
square feet
Submit

Answers

Answer:

Do you have a picture of the work hhh

Step-by-step explanation:

PLEASE HELP ME WITH NUMBER 6!!!!!!!!!!!!!!!!!

Answers

Answer:

32.5

Step-by-step explanation:

x = 7

22+ 3.5x3 = 32.5

Trisha had a bowling score of 126 for the first game. She had a score of 97 for the second game.
Which is closest to the percent decrease in her score from the first game to the second game?

Answers

Answer:

23% decrease

Step-by-step explanation:

:)

What is the following function an example of?
f(x) = 3
A)Logarithmic Growth

B)Exponential Growth

C)Logarithmic Decay

D)Exponential Decay

Answers

the answer would be b

Which equation represents an inverse variation function that passes through the points (4, 5) and (10, 2)?

y =5/4x
y =
y = 20x
y =

Answers

It’s not 5/4x or 20x are there any other options?

plz can someone help me, Ive been stuck on these for so long Thank you so much!
1. n ÷ 4 = 4
2. 144 ÷ m = 12
3. r ÷ 3 = 7
4. a ÷ 2 = 18

Answers

1) 16 ÷ 4 = 4

2) 144 ÷ 12 = 12

3) 21 ÷ 3 = 7

4) 36 ÷ 2 = 18


p.s - what I did was I multiplied the numbers which were in the equation to get the variable, but for number 2 you don’t multiple, you divide 144 by 12.

can someone please help!

is a triangle with side lengths of 24, 10, and 26 a right triangle? and why?

Answers

Answer:

I need a picture or something

Which of the tables below doesn’t represent a function

Answers

Answer:

Table B

Step-by-step explanation:

I hope this helps :3

Where would
(-3,2)
be if it was reflected across the x-axis

Answers

Answer:

(-3,-2)

Step-by-step explanation:

When you reflect over the x-axis, the x remains the same but the y changes to the opposite. In this case negative. I hope this helps, have a great day!

HELP!!!!

8.) A cylinder has a volume of 3815.1 cubic centimeters. What
is the volume of the cone that has the same height and
same base as the cylinder?

Answers

Answer:

hello yes from Mr Ching class the answer would just be 1271.7 because the volume of a cone is 1/3 of the volume of a cylinder of the same dimensions

Step-by-step explanation:

multiply cone volume by 1/3

A plane flying from City A to City B travels x miles per hour for a total
of 4.5 hours. The plane takes the same route on the return trip, traveling
25 miles per hour faster for a total of 4.25 hours. What is the total distance
that the plane travels?

Answers

Answer:

Step-by-step explanation:

Olivia,  use the dirt formula   d = rt

distance = rate * time

x = rate * 4.5

x = (rate+25) *4.25

set them equal

rate)*4.5 = (rate+25) *4.25

4.5rate = 4.25 rate + 106.25

4.5rate- 4.25 rate  = 106.25

0.25rate = 106.25

rate = 425

4.5(425) = 1912.5

check it

4.25(425+25) = 1912.5  yes it checks , that's right :)

What is the dot product of vectors u = <-5, 4> and v=<-8, -6>?

Answers

Answer:

16

Step-by-step explanation:

dot product = x1x2 + y1y2

= (-5)(-8 + (4)(-6)

= 40 - 24

= 16

A spherical ornament is placed into a cubic box for shipping so that its surface touches each of the faces of the shown in the diagram below. material. If the radius of the spherical ornament is 4 centimeters, about how much space is left in the box to be The remaining volume that is not taken up by the spherical ornament is to be filled with a special packing filled with packing material? A 310.9 cm3 B 268.1 cm3 с 256.0 cm D 243.9 cm3​

Answers

Answer:

243.9

Step-by-step explanation:

Trust I got it right bro

Trying to help

Subtract ( 5 – 8√2 ) from ( -7√2 + 12 )

Answers

Answer:

−7−√2

Step-by-step explanation:

5−8√2− (−7√2+12)

−7−√2

what is the measurement of this angle

Answers

Answer:

28º

Step-by-step explanation:

CAT = 90 - 62

CAT = 28º

Task: Multiplying and Dividing Expressions
Watch the instructional videos Multiplying Polynomials - With Algebra Tiles and Dividing Polynomials - With Algebra Tiles and then complete the exercises below. Express your answer as both an expression and a tile figure.
Before you begin, note that:
A positive multiplied or divided by a positive equals a positive.
A positive multiplied or divided by a negative (or a negative times a positive) equals a negative.
A negative multiplied or divided by a negative equals a positive.

Part 1-3

1: (-2x)(x-3)

2: y^2 -y / y

3: (x2+6x+8)(x+2)

Answers

Najsjsiskekasizjnsdkdkdkx

Rank the following values from largest to smallest. A. Number of cookies in a typical bag of Oreos B. Number of miles from the earth to the sun C. Value of a used car D. Number of doors in a typical home​

Answers

Answer:

BCDA

Step-by-step explanation:

There are few homes in a typical home

there are about 20 cookies in a bag of cookies

there are several thousand in a used car

there are tens of thousands of miles from the earth to the sun.

Answer:

B

C

D

A

Step-by-step explanation:

MILES FROM EARTH TO SUN IS MORE

COMPARED TO

VALUE OF A USED CAR IS MORE

COMPARED TO

NUMBER OF DOORS IN A TYPICAL HOME ARE MORE

COMPARED TO

NUMBER OF COOKIES IN A TYPICAL BAG OF OREOS

I HOPE YOU GOT YOUR ANSWER

What is the room’s perimeter?

Answers

20

Step-by-step explanation:

Find the value of x.

Answers

the answer would be 28
The answer is 28 for x

Find the volume of the solid below.

Answers

Answer:

385 cm volume

Step-by-step explanation:

Length-- 7

width-- 5

height-- 1 1

Volume formula -- L times W times H = V.

Multiply all those and you get 385cm squared.

have a great Day!!!!!

A store is open for business while it is being renovated. The noise from the renovation is increasingly driving away customers.
The daily revenue, r (d), the store has made d days since renovation began is modeled by the function r (d) = 10,000 (0.939),
What is the factor of decay in this function?

Answers

Answer:

Answer D

Step-by-step explanation:

The factor of decay is just the second term in this equation, so 0.939.

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Exponential function.

The factor of decay would be the one with a Index power that is variable in nature,hence

==> D. 0.939 is the correct answer

A manufacturer makes ball bearings that have a target diameter of 5 mm. Quality control engineers sample ball bearings from a batch to test the hypotheses H 0 : mu=5 mm vs. H a : mu ne5 mi , where u is the true mean diameter of the ball bearings in that batch. Suppose that H 0 is actually true. Which situation below would have the lowest probability of a Type I error?

Answers

Answer: n=30 the other one is 0.01 !

Step-by-step explanation:

khan

The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).

What is hypothesis testing?

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

In hypothesis testing,
A Type I error occurs when we reject the null hypothesis (H0) when it is actually true.

The probability of a Type I error is denoted by the symbol alpha (α) and is usually set to a small value, such as 0.05 or 0.01.

Now,

To minimize the probability of a Type I error, we want to choose a significance level (α) that is small.

This means that we are willing to accept a lower probability of detecting a difference when one actually exists (i.e., a higher probability of a Type II error).

For example,

If we set α = 0.01, we are saying that we are willing to accept only a 1% chance of incorrectly rejecting the null hypothesis (H0) when it is actually true. This would result in a very small probability of a Type I error.

Therefore,

The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ2

Plz help! (due tonight!)
The​ eighth-grade class at a grade school has 12 girls and 9 boys. How many different​ boy-girl dates can be​ arranged?

Answers

Answer:

There will be 9 couples, and 3 lonely girls

Hope this helps

plz like and brainly :D


HELP WILL MARK BRAINLIEST

Answers

Answer:

2 by 4 is the answer have a great time

Company A charges a $125 annual fee plus $7 per hour car share fee. Company B charges $110 plus $10 per hour. What is the minimum number of hours that a car share needs to be used per year to make company A a better deal?
A. 5
B. 11
C. 6
D. 9

Answers

Answer: 6

Step-by-step explanation:

A P E X

4.0 in. 6.0 in. 4. On the floor plan shown at the right, 1.25 inches represents 2 feet. What is the actual length of the entire floor? a. Kitchen 4.0 in. 6.0 in. Dining Room b. What is the actual area of the entire floor? Explain how you found the area. length 4.0 in. Study Living Room 8.0 in. 2.0 in. Foyer width​

Answers

Answer:

Part A= 19.2 Part B= 27.2

Step-by-step explanation:

4+8=12 divided by 1.25 equals 19.2

Width= 4+6=10 divided by 1.25=8

19.2+8= 27.2 is the total area

Hope this is right (:

Answer:

A. 19.2 Feet

B. 307.2 Feet

Step-by-step explanation:

A. First you divide 2 feet by 1.25 inches to figure out how much feet per inch.

2/1.25=1.6 feet

Meaning that 1 inch is 1.6 feet or 1 inch=1.6 feet

After that you add the length of 4 inches and 8 inches which equals 12 inches.

4+8=12 inches

After that you multiply 12 by 1.6

12*1.6=19.2

Meaning that the actual length is 19.2 feet

B. Once you find the length you add 4 inches and 6 inches which equals 10 inches.

Multiply 10 by 1.6

10*1.6=16 feet

After that to find the area you multiply 16 and 19.2.

16*19.2=307.2 feet

enter the number that makes each equation ture​

Answers

Answer:

22 = 5 + 17

46 = 82 - 36

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

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