if f(x)= x/2-3 and g(x) = 2x^2+x-6, find (f+g)(x)

Answers

Answer 1

Answer:

2x² + 3x/2 - 9

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2 - 3 + 2x² + x - 6

= 2x² + x/2 + x -3 -6

= 2x² + 3x/2 - 9


Related Questions

Find an equation of the line with the slope m=−1/8 that passes through the point ​(−5​,0​). Write the equation in the form Ax+By=C.

Answers

Answer:

x+8y= -5

Step-by-step explanation:

1) the required equation of the line has an slope-interception form:

y=mx+i, where m - slope, i - interception.

2) if the given point belongs to the required line, then it is possible to substitute its coordinates into the equation, then:

0=m*(-5)+i; ⇔-5m+i=0;

3) if the slope m= -1/8, then

-5*(-1/8)+i=0, ⇒5/8+i=0; ⇒ i= -5/8.

4) finally, the required equation is (m= -1/8; i= -5/8):

y= (-1/8)*x-5/8; ⇔ x+8y= -5.

note: the suggested solution is not the only way.

Joakim is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate on 1/2 of the remaining cupcakes. The rest will get vanilla icing. How many cupcakes have vanilla icing?​

Answers

Answer:

12 cupcakes have vanilla icing

Step-by-step explanation:

A submarine travels at an elevation of -75 3/4 ft relative to sea level. Then its elevation changes by -16 3/8 ft. What is the new elevation of the submarine? Show your work

Answers

Answer:

The new navigation height of the submarine is -62.25 feet.

Step-by-step explanation:

Given that a submarine travels at an elevation of -75 3/4 ft relative to sea level, and then its elevation changes by -16 3/8 ft, to determine what is the new elevation of the submarine the following calculation must be performed:

3/4 ft = 0.75 ft

-75 x 0.75 = -56.25 ft

3/8 ft = 0.375 ft

-16 x 0.375 = -6 ft

-56.25 + -6 = -62.25

Thus, the new navigation height of the submarine is -62.25 feet.

Norton Corp. does not elect the fair value option for recording its financial liabilities. The discount resulting from the determination of a note payable's present value should be reported on its balance sheet as a(n)
Direct reduction from the face amount of the note.
Deferred charge separate from the note.
Deferred credit separate from the note. Addition to the face amount of the note.​

Answers

Answer:

más bien ya otro día sera

Find the missing numbers:
1) 1 + 4.000 + 900 +
= 4,911

Answers

The answer is 10. Hope this helped

Last week Jordan had 12 marbles . This week he has 21 marbles what is the percentage of increase in the number of marbles Jordan has

Answers

Answer:

75%

Step-by-step explanation:

The number increase is 9. 9 is what percent of 12? 9 is 75% of 12

Find the value of x in the rhombus

Answers

Answer:

Your answer is.....

37

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

Find the surface area of the rectangular prism with a length of 3 cm, a width of 2 cm, and a height of 6 cm

Answers

The surface area is 72cm

A group of college students believes that herbal tea has remarkable restorative powers. To test its theory, the group makes weekly visits to a local nursing home, visiting with residents, talking with them, and serving them herbal tea. After several months, many of the residents are more cheerful and healthy.

1. The lurking variable in this experiment is

a. visits of the college students.
b. the fact that this is a local nursing home.
c. herbal tea.
d. the emotional state of the residents.

2. The explanatory variable in this experiment is

a. visits of the college students.
b. herbal tea.
c. the emotional state of the residents.
d. the fact that this is a local nursing home.

3. Which of the following may be correctly concluded from this study?

a. The results of the study are not convincing because only a local nursing home was used and only for a few months.
b. Herbal tea does improve one's emotional state, at least for the residents of nursing homes.
c. There is some evidence that herbal tea may improve one's emotional state. The results would be completely convincing if a scientist had conducted the study rather than a group of college students.
d. The results of the study are not convincing because the effect of herbal tea is confounded with several other factors.

Answers

Answer:

1. a. visits of the college students.

2. b. herbal tea.

3. d. The results of the study are not convincing because the effect of herbal tea is confounded with several other factors.

Step-by-step explanation:

1. The lurking variable in this experiment is - a. visits of the college students.

2. The explanatory variable in this experiment is - b. herbal tea

3. Which of the following may be correctly concluded from this study - d. The results of the study are not convincing because the effect of herbal tea is confounded with several other factors.

I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. The events card is a heart and card is a club are

Answers

Answer:

The answer is "disjoint events".

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, the Disjointed events were not connected, throughout this, Some other approach to disorganized events was its lack of common outcomes. When it can come at the same time, two events are exclusive to each other. A whole term, that implies excluding each other is disjoined. If had some are united, the chance of them both happening on one is 0, throughout this question, both heart and club can't be cards at the very same time.

Using distributive property write an expression using 6,7,5,&3 to equal 75

Answers

Answer:

(3*7-6)*5=75

(5+7)*6+3=75

Step-by-step explanation:

What is -5 + 7
I need too know this because I am in 7th grade for the 5th time and this is the unit that always made me fail. PLEASE HELP!!!

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Ok so what you wanna do is subtract 5 from 7 which is 2, the answer is 2

Shira's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.

Answers

Answer:

Part 1) Option B. y = 10x + 45

Part 2) The score is 95

Step-by-step explanation:

Linear equation that best describes the given model

Let

x ---> number of hours students spent studying

y --->  their score on the test

Looking at the line that was fit to the data to model the relationship

The slope is positive

The y-intercept is the point (0,45)

For x=1, y=55 ----> point (1,55)

Find the slope

The formula to calculate the slope between two points is equal to

substitute  the points (0,45) and (1,55)

Find the equation of the line in slope intercept form

we have

substitute

Part 2) Estimate the score for a student that spent 5 hours studying.

For x=5 hours

substitute in the linear equation and solve for y

Answer:

Part 1) Option B. y = 10x + 45

Part 2) The score is 95

Step-by-step explanation:

find the lenght of ab

Answers

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

Fill in the missing number.
6 x 4 =(
x 4) + (3 x 4)

Answers

Answer:

6x4= 24

x4)+(3x4)=12

bsnskzifkznsnaksifi

The complete sentence is 6 x 4 =( 3 x 4) + (3 x 4)

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

6 x 4 =( x 4) + (3 x 4)

Now, split 6 as two equal quantities

6 = 3+ 3

So, 6 x 4 =24

( 3x 4) + (3 x 4)

= 12+ 12

= 24

Hence, LHS = RHS.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Geometry problem above ^ ABC is similar to...

Answers

Answer:

B. 20 units

Step-by-step explanation:

You can see that the each of the sides of triangle XYZ are half the length of each the sides of triangle ABC.

So 40 / 2 = 20 units

Hope that helps!

Need help please i got 200 point in the bag yeart

Answers

1.r=4
2.w=38
3.m=5/8
4.t=-4
5.139+x=180
6.x=41
7.18+x=90
8.x=72
9.Layla had 3 dogs she adopted “x” dogs at the end of the day Layla had 8 dogs
X=5dogs

Hope this helps

Have a great day/night

Feel free to ask any questions

A wedding photographer and their assistant work together to photograph weddings. The rates are shown in the advertisement.
$50 sitting fee
•plus $40 per hour for photographer's time
•plus $15 per hour for assistants time

Write an expression to represent the total cost for photography in a wedding in two different ways.

Answers

Answer:

50$+40$

40$+50$

Step-by-step explanation:

An expression to represent the total cost for photography in a wedding in two different ways are 50+40x+15y and 50+40p+15a.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, wedding photographer and their assistant work together to photograph weddings.

$50 is sitting fee, $50 sitting fee, $40 per hour for photographer's time and  $15 per hour for assistants time.

Let the number of hours photographer spent be x and the number of hours assistants spent be y.

So, the total cost for photography

50+40x+15y

Let the number of hours photographer spent be p and the number of hours assistants spent be a.

50+40p+15a

Therefore, an expression to represent the total cost for photography in a wedding in two different ways are 50+40x+15y and 50+40p+15a.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

The area of a circle is 641 ft2. What is the circumference, in feet? Express your
answer in terms of

Answers

Step-by-step explanation:

Given

Area of a circle (A) = 641 ft²

Circumference (C) = ?

We know

πr² = 641

r² = 641 / 3.142

r² = 204

r = 14.28 ft

Now

Circumference

= 2πr

= 2 * 3.14 * 14.28

= 89.68 ft

Hope it will help :)

Answer:

The circumference is 89.68 ft.

Use the rule 2 + 3 to find the missing number on the table.
X Y
0 3
3 6
11
7 10
9 12

Answers

Answer:

14

Step-by-step explanation:

11 + 3 = 14

Hope it helps!

Thanks!

PLEASE HELP WITH THIS

Answers

Answer:

Step-by-step explanation:

A jacket was sold for $81 and was on sale for 10% off. What was the original price of the jacket before the sale?

Answers

The original price of the jacket was $73

Answer:

que no se hablar inglés o tu idioma por como hablé te ayudaria pero como no hablas español ps nd ps......bay

If a pinhead is about 2.5 millimeters in diameter, how much larger is the pinhead than
dust mite?

Answers

Answer:

2.2 - 2.3 millimeters

Step-by-step explanation:

Answer:

Do you know how big the dust mite is?

Step-by-step explanation:


In the figure, the horizontal lines are parallel and AB = BC = CD. Find JM.

A.15
B.10
C.5
D. 20

Answers

Answer:

By the transversal theorem, if segments on a transversal cut by parallel lines are equal, then similar segments cut by the same parallel lines on another transversal are also equal.

Therefore

JK=KL=LM=5

=>

JM=3*5=15

Step-by-step explanation:

plz help i have 3 mins it for 25 points

Answers

Answer:

c: 38 cm

Step-by-step explanation:

I hope it's not too late

Answer:

The area is 32cm

Step-by-step explanation:

Area  = length x width

Area = 4 x 8 = 32

Please help........ thank you

Answers

Hi!

So, first, let's just form the equation:

We know that all the side lengths equal 12 cm.

So the equation will be:

5 + 3 + x = 12

The answer you put in the box is:

5 + 3 + x

To find the value of x, we just solve this equation:

5 + 3 + x = 12

Combine like terms:

8 + x = 12

Same to both sides:

x = 12 - 8

x = 4

I hope this helped, let me know if you have any questions.

The second derivative of the function f is given by f" (x) = sin(x^2/8)-2 cos x. The function f has
many critical points, two of which are at x = 0 and x= 6.949. Which of the following statements is
true?

Answers

The answer choice which is true about the function f as described in the task content is; Choice D; f has a local maximum at x=0 and at x=6.949.

Which answer choice represents a true statement about function f?

Since the equation which represents the second derivative of the function f is given; we have that;

By evaluating f'' (x) at each of the given values of x; we have that;

f'' (0) = sin ( 0² / 8 ) - 2 cos (0) = 0 - 2 (1) = -2

f'' (6.949) = sin ( 6.949² / 8 ) - 2 cos (6.949)

f'' (6.949) = -1.880.

On this note; since -1.880 < 0 and also, -2 < 0; it follows that the function f has a local maximum at x = 0 and x = 6.949.

Complete question includes answer choices;

a) f has a local minimum at x=0 and at x=6.949.

b) f has a local minimum at x=0 and a local maximum at x=6.949.

c) f has a local maximum at x=0 and a local minimum at x=6.949.

d) f has a local maximum at x=0 and at x=6.949.

Read more on local maximum and local minimum;

https://brainly.com/question/28170226

#SPJ1

John plans a journey to visit his sister in Newcastle.
He wants to fill up the bottle for the windscreen washer before he starts the journey.
John mixes 1 part screen wash with 5 parts water.
He uses 125 ml of screen wash.
(a) How much water should John use?​

Answers

Step-by-step explanation:

For the series-parallel network: a. Find the current I. b. Find the currents /3 and 19.

Congruent or not congruent?

Answers

Answer:

Congruent

Step-by-step explanation:

Hope that helps!

esto es among us respondan por favor :(​

Answers

Answer:

Step-by-step explanation:

solo un nino diria eso

Yo No veo nada?? Que necesitas
Other Questions
Transitivity refers to a. the ability to think with abstract concepts. b. being able to compare all items in a set to all other items. c. hypothetical thinking. d. centration. Find the indicated real nth root(s) of a.n=3, a = - 216 Which compound has both covalent and ionic bonds? pls give the explanation thx A NH3B Na2SO4C CH3COOHD NaCl Which statement describes the purpose of the Freedom Charter?to replace the existing constitutionto state core beliefs and demand rightsto announce a new governments creationto reinforce the countrys racial divide Alyssa is training for a triathlon, a timed race that combines swimming, biking, and running. Alyssa has only 20 hours per week that she can devote to training for her race. Which basic principle of individual choice does this scenario illustrate The capital city of arizona is phoenix. what kind of phrase are the bolded words? infinitive phrase noun phrase adjective phrase adverb phrase Select all the correct answers.Exponential function fis represented by the table.2X00-12B-4Function gis represented by the equation.9 (2) = -12 (3)Which statements are true about the two functions?03243Both functions are increasing on all intervals of x.Both functions approach the same value as x approaches ...The functions have the same x-intercept.Both functions approach - as x approaches -...The functions have the same y-intercept. If a firm increases its plowback ratio, this will definitely result in _______ p/e ratio. The more reliable measure for comparing changes in the standard of living over a series of years is:_____ An equestrian club orders magazine subscriptions for new members.Last year they had 32 new members and spent $624 on subscriptions.Use the equation 32m = 624 to find the cost of each subscription. Try itwriting a SummaryWith advancing years I feel I must give this question ofwhat I want to leave behind me greater thought, forbefore long I shall be moving on to fields unknown, andperhaps it may make a difference if I actually know whatI would like to bequeath to a new generation. Perhaps thebest I can do is to pray that the youth of today will havethe ability to live simply and to get joy out of living, thedesire to give of themselves and to make themselvesworthy of giving, and the strength to do without anythingwhich does not serve the interests of the brotherhood ofman. If I can bequeath these desires to my own children,it seems to me I will not have lived in vain.-"What I Hope to Leave Behind,"Eleanor RooseveltBased on the final paragraph and what you rememberfrom the speech overall, write three to four sentencessummarizing what Roosevelt hopes to leave behind. what role did german leaders play in austria-hungarys decision to declare war on serbia ummer School - PM0372GY7Find the unit rates (pages per day) for Deon and Emily. Who read faster? How do dying stars contribute to the formation of plants Of the options presented, which is the best for maintaining space around your vehicle? The amount of goods and services people can buy with the money they have is called their:__________. Hello! I need help with this question based on the novel Kindred by Octavia Butler--Both Kevin and Dana know that they can't change history, as several of their conversations indicate during the text: "We're in the middle of history. We surely can't change it." and "It's over.... There's nothing you can do to change any of it now. What, then, are the purposes of Dana' s travels back to the antebellum South? Why must you, the reader, experience this journey with Dana?Tysm :)) If you were to ask B. F. Skinner to classify behavior analysis as a subfield of another scientific discipline, which of the following would he most likely choose determine the fall (drop) on 20' of drainage piping with a 1/4" per ft. grade The dry rock garden in the zen temple of ________ is one of japan's most renowned zen sites.