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

Answers

Answer 1

Answer:

2x^{2} + \frac{3}{2} x - 5

Step-by-step explanation:

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

(f+g)(x)= [tex]\frac{x}{2} -2[/tex] + [tex]2x^{2} +x-3[/tex] = [tex]2x^{2} + \frac{3}{2} x - 5[/tex]


Related Questions

3887860 tonnes of paper was collected last year. round it to the nearest million

Answers

Answer:

4000000

Step-by-step explanation:

thats to the nearest million

Using conversion, the 3887860 tones of paper is converted into 400000 millions.

What is conversion?

Conversion is "the process of changing the value one of form to another".

According to the question,

3887860 tones of paper was collected last year. In order to convert to the nearest million.

1 ton = 9,071847 million

3887860 tones = 9,071847 × 3887860

                          = 3.52700711 [tex]e^(13)[/tex]  ≈ 400000

Hence, using conversion, the 3887860 tones of paper is converted into 400000 millions.

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Which equation represents the line that passes through the point (-1.2, -5.6) and has a slope of -2.9

Answers

Answer:

[tex]y+5.6 = -2.9 (x + 1.2)[/tex]

Step-by-step explanation:

Equation of straight line in point slope form is given as

[tex]y -y_1 = m(x- x_1)[/tex]  -------------(1)

Here

[tex]m =-2.9[/tex]    and  [tex](x_1, y_1) = (-1.2, -5.6)[/tex]

Substituting values in equation (1)

[tex]y+5.6 = -2.9 (x + 1.2)[/tex]

Help please who ever correct brainliest

Answers

Answer:

Step-by-step explanation:

  5

3  _

    18

Solve for :x
8x- 3 = 5 (2x + 1)
A. x= -4
B. x= -2
C. x= 1
D. x= 9
Plz help

Answers

Answer:

-4

Step-by-step explanation:

8x-3=5(2x+1)

8x-3=10x+5

-2x-3=5

-2x=8

x=-4

Answer:

A

[tex]x = - 4[/tex]

Step-by-step explanation:

do the Parentheses first so----

do Parentheses first which would then be 8x-3=10x+5

then put "10x in the middle of 8x and -3

so

[tex]8x - 10x - 3 = 5[/tex]

then 8x-10x which would equal -2x

then you would be left with

[tex] - 2x = 5 + 3[/tex]

add the 5+3 ------>> -2x=8

(divide both sides)

[tex]x = - 4[/tex]

Plz help in 1 min plz plz

Answers

in the second column first question in the table the answer is 12, below that is 30, below that is 42, in the first column fourth box down the answer is 11, i used the equation of distance = speed x time to work out the number of bracelets and the equation time = distance/ speed to work out the time, i apologise if any of this is wrong but overall i hope that it helps

Use the distributive property to simplify the expression 5(4x + 8)

Answers

Answer:

20x+40

Step-by-step explanation:

Hey there! first, we multiply 5 x 4x = 20x. then we multiply 5 x 8 = 40

now we add them but in the 20x there is x so we can't add them but we can write them as 20x + 40

Answer:

[tex]\huge\boxed{\sf{20x+40}}[/tex]

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac [tex]\mapsto[/tex] we multiply a times b and c

Now, simplify the given expression:

5(4x+8)

20x+40

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Situe no mesmo sistema de eixos cartesianos os pontos A(1, 3), B(-2, 1), C(0, -4), D(-3, 0), E(-2, -3), F(2, -1), G(3, -4) e H(5/2, ½).

Answers

Answer:

A,D,F,E

Step-by-step explanation:

I really need help please! Number 5!! (Factoring)

Please show how you got it.

Answers

Answer:

(4×-3)(2x-1)

Step-by-step explanation:

8x²-10x+3

8x²-4x-6x+3

4x(2x-1)-3(2x-1)

(4×-3)(2x-1)

What dose 750 divided by 30 equals what

Answers

Answer:

25

Step-by-step explanation:

30 goes into 750 25 times.

You can check your answer by multiplying 30 by 25 which equals 750. Therefore your answer is correct.

The 750 divided by 30 equals 25. This means that if we distribute 750 objects into 30 groups equally, each group would contain 25 objects.

When we divide 750 by 30, we can calculate the result as follows:

750 ÷ 30 = 25

Therefore, 750 divided by 30 equals 25. This means that if we distribute 750 objects into 30 groups equally, each group would contain 25 objects. Division is the arithmetic operation that allows us to determine how many times one number (the divisor) can be subtracted from another number (the dividend) without resulting in a negative value.

In this case, when we divide 750 by 30, we find that the quotient is 25. This represents the number of groups or units we can obtain when dividing 750 into 30 equal parts. Division is a fundamental mathematical operation used in various real-life scenarios, such as distributing resources, calculating averages, and solving ratio problems.

To know more about divided:

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Sam had 35 red and yellow marbles. If 60 percent of the marbles are yellow how many RED marbles does sam have?

Answers

Answer:14 red marbles

Step-by-step explanation:

60% of the marbles are yellow  and there is a total of 35 marbles.

60% of 35 is 21, so there are 21 yellow marbles.

35-21= 14,

leaving you with 14 red marbles.

Question 2 (1 point)
Jon drinks 10 sodas a week. Which graph correctly represents the unit rate for this
proportional relationship?

Answers

Graph A because the graph starts out at 10 on week one and goes up by ten each week

HELP MY HOMEWORK IS DUE IN 20 MINUTES

Answers

Answer:

c

Step-by-step explanation:

Answer:

Graph C.

Step-by-step explanation:

a function is determined by every input having a specific outpit. since each input of x has a specific answer for Y, graph C is a function.

What value of c makes the equation true? −3−3/4(c−4)=5/4 Drag and drop the correct number in the box. c = Response area


will give brainlyst

Answers

Answer:

c = -5/3

Step-by-step explanation:

Solve using algebra.

After you do 11 steps, that is the answer.

Please mark as Brainliest!!!

get brainliest please help

Answers

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  -3/2

Step-by-step explanation:

The line crosses grid intersections at (-1, 2), (1, -1) and (3, -4). These points are separated by 2 units horizontally and 3 units vertically.

The rise (vertical change) is -3 for each run (horizontal change) of +2, so the ratio rise/run is -3/2. That is the slope of the line: -3/2.

An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the stream.

Answers

Answer:

[tex]W_s \approx5.3[/tex]

Step-by-step explanation:

From the question we are told that

Height [tex]H=3.5ft[/tex]

Weight [tex]W= 6ft[/tex]

Depth  [tex]D=0.95ft[/tex]

Generally the equation for ellipses is given as

[tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]

Where

[tex]b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\[/tex]

[tex]\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1[/tex]

Generally to find y in the equation [tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]

[tex]y=-b+d[/tex]

[tex]y=-1.75+0.95[/tex]

[tex]y=-0.8[/tex]

Therefore

[tex]\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1[/tex]

[tex]\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}[/tex]

[tex]\frac{x^2}{3^2} =1-0.2089795918[/tex]

[tex]X^2 =3^2(1-0.2089795918)[/tex]

[tex]X^2 =7.119183674[/tex]

[tex]X =\sqrt{7.119183674}[/tex]

[tex]X =2.66817984[/tex]

Therefore the width of the given stream is

[tex]W_s=2.66817984*2[/tex]

[tex]W_s=5.33635968[/tex]

[tex]W_s \approx5.3[/tex]

Which of the following is equivalent to sin(30°)?
Question 2 options:
A) cos(60°)

B) cos(90°)

C) sin(60°)

D) cos(30°)

Answers

Answer:

A. cos(60°)

Step-by-step explanation:

sin(30 degrees) = 0.5

cos(60°) = 0.5

cos(90°) = 0

sin(60°) = √[tex]\frac{3}{2}[/tex]

cos(30°) = √[tex]\frac{3}{2}[/tex]

so it's A.

Ace

The sin 30° is equivalent to the expression cos 60°. Then the correct option is A.

What is trigonometry?

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The equivalent is the expression that is in different forms but is equal to the same value.

The expression is given below.

⇒ sin(30°)

We know that the formula which is written as,

sin (90° - x) = cos x

Then by the above property, the expression is written as,

sin 30° = sin (90° - 30°) = cos x

sin 30° = cos 60°

The sin 30° is equivalent to the expression cos 60°. Then the correct option is A.

More about the trigonometry link is given below.

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Which of the following figures is a polygon?
OA
3
OD

Answers

Answer:

b

hope this helps:)

Step-by-step explanation:

B because the top is perpendicular from each other

Who know the answer to this?

Answers

Answer: A (w=2a+3)

Step-by-step explanation: The answer is A because for every week after the tiger is born it gains 2 pounds. that's the w=2a part. The +3 is there because the tiger started with 3 pounds.

Simplify to create an equivalent expression, Explain why?
5(2p+1)+3(3p-1)

Answers

Bsjdhejehjevshehjejeiejdvjsjshhsnskhsd

Need ASAP. Only answer if ur confident in ur answer

Answers

Answer:

360 m²

Step-by-step explanation:

surface area of a square base pyramid = base area + 4 ( triangular sides area)

where:

base = 12 m

side height length = 9 m

Surface area = 12² + 2(12)9

                     = 144 + 216

                     = 360 m²

Emergency plsssssssssssss answer this what is 0.43 rounded to the nearest hundredth

Answers

Answer:

0.430

Step-by-step explanation:

What is 45% of 156?
Thanks.

Answers

Answer:

45% of 156 = 70.2

The answer is 70.2 hope this helps

Abraham went hiking last Saturday. From the car park, he walked 4 km due north,
then 2.5 km due west before stopping to eat his picnic.

a) Draw a diagram to show his journey.
b) Write down the journey as the sum of two column vectors.
c) After his picnic, Abraham walked in a straight line back to the car park. How far did he walk to get back?

Answers

Answer:

a. (see attachment)

b. 6.5 km

c. 4.717 km

MAKE SURE TO USE UNITS

PLEASEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPP


Which answer choice describes y=-3x^(2) +7x - 2 Question 9 options: opens up with a maximum opens down with a maximum opens up with a minimum opens down with a minimum

Answers

opens down with a maximumTHANK YOU !!!! AND HAVE A NICE DAY !!!

I will mark you brainliest

Answers

Answer:

it is b and c

Step-by-step explanation:

A certain paint is to be mixed with 3 parts yellow to 2 parts blue. What is the ratio of yellow paint to the total amount of mixed paint?

a. 3 to 2

b. 3 to 1

c. 3 to 5

d. 2 to 3​

Answers

3 to 2 I hope you have a great day lol

SOMEONE PLEASE PLEASE HELP!!!

Answers

11 is the answer hope this helps :)
Trying to fill space

please help i’ll give brainliest❤️

Answers

Answer:

12 should be right I think I did the math

Step-by-step explanation:

£412 ————> €515
£500 ————> (515/412)*500 = €625

The answer is €625

Mark football team has scored about 23 points each game. They played 12 games this season. What is the best estimate for the total number of points they scored in the season?

Answers

Answer:

estimate:280

Step-by-step explanation:

23x12=276

Below is a 6-sided dice with the numbers 1-6. What is the probability of landing on a number greater than 0?
Write your answer as a fraction. Then choose the
likelihood of the event.
Submit
Impossible
Unlikely (Less than 1/2)
Neither Likely nor Unlikely (1/2 or Even Chance)
Likely (Greater than 1/2)
Certain (100%)
HELP ILL GIVE YALL BRAINLIEST

Answers

6/1 Certain, hope this helps
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