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

Answers

Answer 1

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

[tex](f+g)(x) = \left(\dfrac{x}{2}-3\right)+\left(3x^2+x-6\right)[/tex]

[tex](f+g)(x) =3x^2 +\dfrac{3x}{2}-9[/tex]


Related Questions

Sarah needs 10 feet of fabric for a project she is working on, but the store only sells the fabric in meters

Answers

Answer:

Sarah need to buy 3.048 meters of fabric

Step-by-step explanation:

there are around 0.3 meters in a foot. And there are 3.048 meters in 10 feet. (I dont know the math behind it i just searched it up, if you search “how many meters are in 10 feet” it gives you a converter and you can convert whatever you want)

1) You have an ash tree and a magnolia tree in your yard. You chart the vertical growth of each tree.
a) Over two years, the ash tree grows 51 inches. What is the unit rate? Use a ratio table to find the vertical growth over five years. This is a required question
b) Over five years, the magnolia tree grows 80 inches. Construct a double number line that represents the situation. How much does the tree grow each year? * This is a required question
c) Which tree has the faster growth rate? This is a required question
d) What is the growth rate of each tree in millimeters per day? *

Answers

Answer:8

Step-by-step explanation answe is 8beuase the tree

a)The unit rate of ash tree is equal to 25.5 inches per year .(Table attached)   b) The magnolia tree grows by 16 inches every year.(Table attached)

c) Ash tree has the faster growth rate.

d) growth rate of ash tree = 1.77 mm

  growth rate of magnolia tree =1.113 mm

What is a double number line ?

Double number line diagrams are best used when the quantities have different units.

Given here, the ash tree grows 51 inches over two years therefore unit rate of growth is 51/2 = 25.5 inches/year. Similarly, the magnolia tree grows 80 inches over five years thus the tree grows by 16 inches every year. Finally converting the growth rate of each tree in mm per day we get

growth rate of ash tree = 25.5 × 25.4 / 365

                                       = 1.77 mm

 growth rate of magnolia tree = 16 × 25.4 / 365

                                                  =1.113 mm

Hence, clearly ash tree grows faster than the magnolia tree and refer to the attachments for the table and double number line.

Learn more about double number line here:

https://brainly.com/question/13553589

#SPJ2      

At Dizzy World theme park, Vera waited in line for 35 minutes and rode on a Magical Mushroom for 7 minutes. What is the percent value-added time for this ride

Answers

Answer: the percent value-added time for this ride is 16.67%

Step-by-step explanation:

 Given that;

Waiting time for Vera = 35 minutes

Length of Vera's ride = 7 minutes

total processed time will; ( 35 + 7 ) = 42 minutes

the percent value-added time for this ride = ?

so

Percentage value-added time of Vera will be

= (length of the ride / total process time) × 100

we substitute

⇒ (7 / 42) × 100

⇒ 0.16666 × 100

16.67%

Therefore the percent value-added time for this ride is 16.67%

While shopping for clothes, Curtis spent $44 less than 3 times what Jaclyn spent. Curtis
spent $43. Write and solve an equation to find how much Jaclyn spent. Let x represent how much
Jaclyn spent.

Answers

Just multiply 44 times 3 the you should get your answer

It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must get from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
How long does it take him to cover the 1rst hallway? The second one? The third one?

Answers

Answer:

7 pi square 9.8

Step-by-step explanation:

a taxi driver charges $1.25 per mile. the driver also chargers a one time $10 fee. write and solve a equation to determine how many miles are driven , for the driver to charge $39 total

Answers

Answer:

23.2 miles

Step-by-step explanation:

10 + 1.25x

x = number of miles

so if the total cost is $39, this is the equation:

10 + 1.25x = 39

Solve:

10 + 1.25x = 39

1.25x = 29

x = 23.2

So the answer will be 23.2 miles.

how long is the wire needed to put up a fence around a rectangular lot 25m long and 1500cm wide in meters

Answers

Answer:

750 meter

Step-by-step explanation:

1500 cm = 15 m

25 m × 15 m = 375 × 2 = 750

length × width = ### × 2 = perimeter

FILL IN THE BLANK:
When you multiply or divide both sides of the inequality by a negative number, _______ the inequality symbol.

Answers

Answer:

reverse

Step-by-step explanation:

When you multiply or divide on one side of an inequaltiy, you have to mirror it on the other side and you have to reverse the inequality sign.

pls help <3
and show your work
will mark as brainlest ;)

Answers

Answer:

x = 28.1 (nearest tenth)

Step-by-step explanation:.since we are given two sides and an included angle, we would need to apply the Cosine Rule to find x. Thus,

x² = 18² + 14² - 2*18*14*Cos(122)

x² = 520 - (-267.079309)

x² = 520 + 267.079309

x² = 787.08 (approximated)

x = √787.08

x = 28.1 (nearest tenth)

Alex has a video game membership that costs $36 per month. Which table shows the sum of the amounts that Alex will pay for his video game membership over the next 4 months?

Answers

Answer:

$144  at the end of 4 months

Step-by-step explanation:

$36 x 4 =144

Answer:

It will be $144

Step-by-step explanation:

because you do 36 times 4 and u get $144

EXPLAIN PLEASE Will give brainlist!
Question 1 (1 point)
1. Which three lengths could be the lengths
of the sides of a triangle?
O A.12 cm, 5 cm, 7 cm
O B.10 cm, 15 cm, 24 cm
O C.9 cm, 22 cm, 11 cm
O D.21 cm, 7 cm, 6 cm

Answers

Answer:

B

Step-by-step explanation:

For three side lengths to make a triangle, the two smaller ones have to add up to be greater than the third one. This is because if they are any smaller, they won't be able to touch and form a triangle. The formula for this is a+b>c.

You can go through each answer choice and determine whether or not it would work:

A. 12, 5, and 7

5 + 7 > 12 --> 12 > 12 (NOT true)

B. 10, 15, and 24

10 + 15 > 24 --> 25 > 24 (true!)

C. 9, 22, 11

11 + 9 > 22 --> 20 > 22 (NOT true)

D. 21, 7, and 6

7 + 6 > 21 --> 13 > 21 (NOT true)

This means that the correct answer is B.

Which of the following correctly shows the quotient of 80 divided by 5?

Answers

Answer:

option 3

Step-by-step explanation:

[tex]\frac{80}{5}=16[/tex]

Answer:

number 3

is the correct one out of the 4

If logx= -5, what is x?

Answers

Answer:

In Exact form: x = 1/100000

In Decimal form: 1 x 10^-5

Step-by-step explanation:

Answer:

0.00001

Step-by-step explanation:

Rachel works at a store that sells clothing accessories. The supply function for pairs of socks is P = Q-11, where P is the price and Q is the
quantity of pairs of socks. If Rachel sells the pairs of socks for $10 a piece, how many pairs of socks will the store make?

A) 4 pairs
B) 21 pairs
C) 11 pairs
D) 5 pairs

Answers

Answer:

c

Step-by-step explanation:

Simplify (10j+5k)+6j. What 2 properties did you use to to simplify the expression?

Answers

Answer:

16j+5k

Associative property

Communitive Property (I think)

Step-by-step explanation:

(10j+5k)+6j =

(10j+6j)+5k =

16j+5k

Good afternoon guys and god bless!! does anyone know the answer to this?

Answers

Answer:

The answer tot he question provided is vertical (undefined)

HELP PLS!! Whoever gets it right gets brainliest!!

Answers

Answer:

i think its c, point on r at -1 would go to 5, when flipped would b the same

Step-by-step explanation:

The rectangular parking lot shown below has a total area of (4x + 36) square feet. Which could be the dimensions of the Parking lot?

Answers

Answer:

If the expression cannot be factored, write cannot be factored. 13. 4x + 12. 14. 8r - 14. 15 GEOMETRY The rectangle shown. 26. FUNDRAISING The Art Club receives below has a total area of (4x + 36). $10 plus $2 ... square feet. Factor 4x + i did it and a diffrent form can this help ?

Step-by-step explanation:

In the sport​ competition, France won more gold medals than​ Italy, who won more gold medals than Korea. If the total number of gold medals won by these three countries is three consecutive integers whose sum is 48​, find the number of gold medals won by each.

Answers

Answer:

Korea = 15

Italy = 16

France = 17

Step-by-step explanation:

Let :

Korea = x

Italy = x + 1

France = x + 2

(since the values are consecutive)

x + x + 1 + x + 2 = 48

3x + 3 = 48

3x = 48 - 3

3x = 45

x = 45 / 3

x = 15

Korea = x = 15

Italy = x + 1 = 16

France = x + 2 = 17

5 x 5,503 estimate the product by rounding

Answers

My Answer to this would be: 25.26

15cm
Calculate the perimeter of the figure below
5cm

2cm
1.5cm
3cm
4cm
3cm​

Answers

The best choice would be the option 3cm

Need help with trig!!

Answers

Answer:

a) sin x

b) cos² x

c) sin²x

Step-by-step explanation:

Step(i):-

Given that the trigonometric equation

      [tex]tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = sin x[/tex]

we have to use trigonometric formulas

  [tex]1-cosx = 2sin^{2} (\frac{x}{2} )[/tex]

 [tex]sin x = 2 sin \frac{x}{2} cos\frac{x}{2}[/tex]

now

              [tex]tan\frac{x}{2} = \frac{sin\frac{x}{2} }{cos\frac{x}{2} }[/tex]

                       = [tex]\frac{2sin(\frac{x}{2} ) sin\frac{x}{2} )}{2sin\frac{x}{2} cos\frac{x}{2} }[/tex]

                       = [tex]\frac{2sin^{2} (\frac{x}{2} ) )}{sinx }[/tex]

                      = [tex]\frac{1-cosx}{sinx}[/tex]

Step(ii):-

[tex]tan(\frac{x}{2} ) + cos x tan (\frac{x}{2} ) = \frac{1-cosx}{sinx} +cosx \frac{1-cosx}{sinx}[/tex]

                                = [tex]\frac{1-cosx +cosx(1-cosx)}{sinx}[/tex]

                               = [tex]\frac{1-cosx+cosx-cos^{2} x}{sinx}[/tex]

                               = [tex]\frac{1-cos^{2} x}{sinx}[/tex]

                               = [tex]\frac{sin^{2}x }{sinx}[/tex]

                               = sinx

Rewrite using the distributive property: 24 + 16 .

Answers

8(2+3) hopefully this is right!!

30 POINTS!! Help You buy three smoothies for $4.99 each and pay the cashier $20.97. How
much change will you get back?*
Your answer

Answers

Answer:

5 dollars , subtract

Step-by-step explanation:

4 + 2p = 12

so p = what

Answers

Answer:

p=4

Step-by-step explanation:

4+2p=12

Step 1: Simplify both sides of the equation.

2p+4=12

Step 2: Subtract 4 from both sides.

2p+4−4=12−4

2p=8

Step 3: Divide both sides by 2.

2p/2=8/2

p=4

Answer:

p=4

Answer:

P = 4

Step-by-step explanation:

4 + 2p = 12

12 - 4 = 8

2p = 8

8 ÷ 2 = 4

P = 4

Yasmine is having a birthday party with snacks and activities for her guests. At one table, five people are
sharing three quarters of a pizza. What equal sized portion of the whole pizza will each of the five people
receive
Use a modelle picture, number line, or manipulative materials) to represent the quotient
Write a numbentence to represent the situation in your reasoning

Answers

Answer: The answer is 3 over 20.

Step-by-step explanation: On offer is 3 over 4 pizza.

Each person is given a slice that that is the same size as all the rest.

So the 3 over 4 pizza is split into 5 equally sized parts. Thus each of the 5 slices is 1 over 5 times 3 over 4 = 1x3 over 5x4 = 3 over 20 of a whole pizza.

1). ppllllsssss awwnnsseeer thisss

Answers

C but give the guy above me brainiest

Hey guys! Does anyone know the answer to this god bless

Answers

I think it’s undefined, I’m not entirely sure though

The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of
π

Answers

Answer:

132.25π

Step-by-step explanation:

1. the formula of the required area is: A=π*r², where 'r' is radius of the circle;

2. the formula of the the circumference of a circle is: L=2πr, where 'r' is radius of the circle. If the circumference is 23π, then 23π=2πr and r=23/2.

3. if r=23/2, then the required area is:

F=π*(23/2)²=132.25π

Answer:

132.25π m

Step-by-step explanation:

23π/2 = 11.5π

π11.5^2 = 132.25 π

What is the volume of the figure Enter the answer in the box

Answers

Answer: 1360

Step-by-step explanation: I saw it on brainless

Other Questions
Solve for the hypotenuse in the right triangle shown Hello anyone here (other then me) knows this show???????/ If Orange, Inc. uses direct labor hours to assign overhead, the unit product cost for Product X will be: $180.00. $80.00. can u plz help me with my homeworkwhat are the five geographic regions of the United States and what makes each one unique what two states in the united states were overrun by gold diggers at about the same time sydney found gold If m9 = 130, what is m4? Inflation reduces people's purchasing power becauseO there is not enough money in the economyO the market basket has to be changed every yearO the same amount of money buys more goods and servicesO the same amount of money buys fewer goods and services Dan makes several smoothies using 345 cups blueberries for every 223 cups of strawberries. Using these ratios, how many cups of blueberries will he need for 513 cups of strawberries? Professional social media sites can also help employers find you. When you create an account, you describe your work history in detail and list all of your skills, just like in a rsum. If an employer is looking for someone with your abilities and experience, a site like LinkedIn is a great place to start. Recruiters may also use social media to promote new job listings. Millions and millions of people use these sites, and they can be a great way to reach many job seekers at once.How can social media help employers during the hiring process? Check all that apply.1. Most profiles offer more detailed information than any rsum.2. Social media often provides a place for employers to begin their search.3. Social media can fill in gaps on rsums or provide additional details.4. Some sites can be a platform for recruiters to promote job openings.5. Only the most qualified candidates are likely to have a social media presence. What is photosynthesis NEED HELP PLEASE!!!!!!!!!An artist can show the impression of depth and solidity in an artwork bychanges in value.O TrueFalseAn object with Flat angular surfaces, you will see a large jump in value frorone surface to the next. *O TrueFalseAn object with Round curvy surfaces, you will see a large jump in valuefrom one surface to the next.*O TrueO False Mr Parsad places 1007 into asavings account and gains 8%interest per annum. How muchmoney is in the account after 9year? What is of fluids at rest? Options :Electro pneumaticsHydraulicsPneumaticsHydrostatics what is the subject in this sentence? please stop by the store after work and get some milk. Why were spices so expensive in Western Europe? What is TRUE about countries that use a regressive tax system?A. The burden of taxes is put solely on those who make purchases.B. The burden of taxes is equal on all individuals.C. The burden of taxes is much higher on individuals who inherit wealth.D. The burden of taxes is much higher on individuals with lower incomes. 1. Which of the following does not help develop emotional intelligence? *1 pointC. Blaming others for your responses and actions.A. Accepting your emotions without trying to get rid of them.D. Remembering there are no wrong emotions.B. Using emotions as data to guide your decisions. solve the system of equations using the linear combination method URGENT: If there is a 2 kg ball and a 5 kg ball with the same kineticenergy, which one will be moving faster?a. the 5 kg ballb. the 2 kg ballC. They will move with the same speedd. None of the above. Explain. I need help with beacon Spanish please