Given that f(x) = x2 – 13x + 36 and g(x) = x – 9, find (f + g)(x) and express the result in standard form.

Answers

Answer 1

Answer:

x² - 12x + 27

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= x² - 13x + 36 + x - 9 ← collect like terms

= x² - 12x + 27 ← in standard form


Related Questions

Someone please help asap, I will mark as brainliest. Thank you!!

Answers

Answer:

the answer is c go ahead and click it

Step-by-step explanation:

I don’t know ans of 17 number say me answer

Answers

Area of the bigger rectangle =(18×8)cm

2

=144cm

2

Area of the smaller rectangle =((30−18)×(8−6))=(12×6)cm

2

=72cm

2

∴ Total area = area of smaller rectangle + area of bigger rectangle =(72+144)cm

2

=216cm

2

Step-by-step explanation:

the area of bigger rectangle is given by L*W

it simply means that length of larger rectangle multiplied by width of larger rectangle

=20*16

=320m2

hence the path between the lager and smaller rectangle is given by

the path is twice

hence it will be 2*2

=4m

smaller length is

20-4

=16m

smaller width is

16-4

=12

hence area of smaller rectangle

l*w

=16*12

=192m2

hence area of shaded path is given by

=320-192

=128m2

taking larger area of rectangle -the smaller area of rectangle

what is the vertex of f(x)=x2+10x+7

Answers

This is the answer hope this helps

80% of Tom's tie-dye shirts have a spiral design. If 8 of his tie-dye shirts have a spiral, how many tie-dye shirts does Tom have?

Answers

Answer:

10

Step-by-step explanation:

Total number of tie-dye shirts Tom has 10.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 80% of Tom's tie-dye shirts have a spiral design.

8 of his tie-dye shirts have a spiral

Let total number of tie-dye shirts Tom have be x.

Now, 80% of x=8

80/100 ×x=8

0.8x=8

x=8/0.8

x=10

Therefore, total number of tie-dye shirts Tom has 10.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Select the statement that describes the expression 6 + (8 ÷ 2) − 3.

6 times the quotient of 8 and 2, then subtract 3
Add 6 to the product of 8 and 2, then subtract 3
Add 6 to the difference of 8 and 2, then subtract 3
Add 6 to the quotient of 8 and 2, then subtract 3

Answers

Answer:

add 6 to the quotient of 8 and 2 by the subtraction of 3

Answer:

add 6 to the quotient of 8 and 2 by the subtraction of 3

Step-by-step explanation:

What is the 92nd term of 11,19,27

Answers

Answer:

the 92nd term of the arithmetic sequence is 731 because the common difference between them is 8.

10x + 5x = 75 What is the value of X?

Answers

Answer:

x = 5

Step-by-step explanation:

10x + 5x = 75

15x = 75

/15   /15

x = 5

Check your answer:

10x + 5x = 75

10(5) + 5(5) = 75

50 + 25 = 75

75 = 75

This statement is correct.

Hope this helps!

Hello.

First, add the x's:

[tex]\mathtt{10x+5x=75}[/tex]

[tex]\mathtt{15x=75}[/tex]

Now, divide both sides by 15:

[tex]\mathtt{x=5}[/tex]

I hope it helps.

Have a nice day.

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

Graph the line that has a slope of 1 and includes the point (–8,–3)

Answers

Answer:

Reda the explanation

Step-by-step explanation:

I can not graph it for you, but how to di is on your graph paper, place the point (-8,-3) on your graph where the -8 is your x-axis and -3 is your y-axis. Once done, then you go up 1 and one to the right from (-8,-3). And once you go up and your done iwth that you draw a linear line.

For this question, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1,860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,698.90.


Expense

Amount

Rent payment

$953.20/month

Auto payment

$165.87/month

Telephone

$56.98/month

Auto insurance

$714.36/six months

Once-a-week outing

$35.00/week


Your realized income is $2,412.54/month. How much discretionary monies do you have each month?

Answers

The total discretionary money every month is $1,117.43.

What is discretionary money?

This is the amount of money after paying for necessary products and other obligations. This includes:

FoodHousingTaxes

How to calculate the discretionary money?

Discretionary money = Total income - money spent on taxes and basic expenses.

Basic expenses:

Rent: $953.20Auto payment: $165.87Telephone: $56.98Autoinsurance: $714.36 every six months / 6 months = 119.06Total: 1,295.11

Discretionary money = Total income - money spent on taxes and basic expenses.

$2,412.54 - $1,295.11 = $1,117.43

Learn more about discretionary money in: https://brainly.com/question/12159880

Will give many points if you can help me

Answers

Answer:

38

Step-by-step explanation:

You're simply subtracting areas.

[tex]\int \limits_4^{12}x dy[/tex]

represent the blue area in the edited photo. Which you can get from an area of the rectangle with opposite corners in the origin and in Q(6;12) (with red sides, which has area 6x12=72) minus the area of the green rectangle of opposite corners origin and P(1;4) (of area 1x4=4), minus the area limited by y=0, y=f(x), x=1 and x=6, which is, as you know, the integral you've been given at the start, 30.

Area is thus 72 - 4 - 30 = 38

(yes, I did it with paint, the image should be understandable hopefully)

What are the domain and range of the relation given in the table?
y
X
5
5
10
9
15
-1
19
5
32
domain: {10, 15, 19, 32} range: {-1, 5, 9}
domain: {-1,5, 9} range: {10, 15, 19, 32}
O
domain: {10, 15, 19, 32} range: {yly € R}
O domain: {z|3 ER} range:{-1, 5, 9}

Answers

Answer:

domain: {10, 15, 19, 32} range: {-1, 5, 9}

Step-by-step explanation:

the x values are the domain, while all the y values are the range

Determine if the quadratic in standard form has an 'a' value of
1/3 then it has a: maximum or a minimum

Answers

Answer:

max

Step-by-step explanation:

i know it

PLEASE HELP!!!

i’ll mark brainliest if you’re correct!

Answers

Answer:

1.5

Step-by-step explanation:

15/10=1.5

21/14=1.5

Check:

10x1.5=15

Hope this helps!

Given: ABCD is a rhombus.

Prove: Triangle AEB is congruent to triangle CEB.

Answers

Answer:

Maybe right angle theorem? All right angles are congruent.

Answer:

Yes Triangle AEB is congruent to triangle CEB.

They are congruent by S.S.S axiom.

HELP PLEASE !!

HELP WITH ALL OF THE ANSWERS IF YOU CAN TYSM

Answers

Answer:

All of the answers

Step-by-step explanation:

6401715388357510

I hope this helps :)

Answer:

1: 6

2: 40

3: 17

4: 15

5: 38

6: 8

7: 35

8: 75

9: 10

Step-by-step explanation:

HELP ASAP.....NO LINKS AND NO TROLLING
the graph of f(x)=x^2 is shown


compare the graph of f(x) with the graph of g(x)=x^2+8

Answers

Convert g(x) to vertex form

y=x²+8y=(x-0)²+8

Vertex at (0,8)

f(x) has vertex (0,0)

Hence

f(x) is translated 8 units up

Option D

Answer:

D.  The graph of g(x) is 8 units above the graph of f(x)

Step-by-step explanation:

Transformations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Parent function: [tex]f(x)=x^2[/tex]

Translated 8 units up:  [tex]f(x)+8=x^2+8[/tex]

Therefore, the graph of g(x) is 8 units above the graph of f(x)

3r minus 24 equals -r

Answers

r=-12
Step by step explanation-
move 3r to other side of equation (-r+3r= 2r)
then, you have equation 2r=-24
divide both sides by 2
r=-12

where is the nokia and who has it​

Answers

Answer:

Headquarters in Espoo since September 2019

Founded 12 May 1865 in Tampere, Grand Duchy of Finland Russian Empire

Founders Fredrik Idestam Leo Mechelin Eduard Polón

Headquarters Espoo , Finland

Area served Worldwide

19 more rows

Step-by-step explanation:

During the last survey, 45% of the 700 employees voted in favor of the new company logo. How many employees voted in favor of the new company logo?

Answers

45% of the total 700 employees voted in favor of the new company logo

Number of employees that voted in favor of the new logo
=(45/100) x 700
= 315 employees

A bouquet has 30 flowers. The size of the bouquet is decreased by a factor of 3. How many flowers remain

Answers

║ Answer ║

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

10

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Step-by-step explanation:

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

First let know what we are doing..

Given:

A bouquet has 30 flowers

Size of bouquet decrease by a factor of 3

How many flowers remains

Note;

The term "decreased by a factor" means to divide.

Solve;

Thus, 30/3 = 10

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

[RevyBreeze]

what is the distance between "-8" and 14 on a number line

Answers

Answer:

22

Step-by-step explanation:

First let's find the distance from -8 to 0= "8".

Now, let's find distance from 0 to 14 which is "14".

Add 8+14 = 22

Therefore, the distance between -8 and 14 on a number line is 22 units.

~

Hope this helps!

Answer quick! Please

Answers

Answer:

i think it's wednesday and good luck:)!

FOR A HUNDRED POINTS! AND BRAINLIEST!!!

Answers

Answer: 28 degrees

Step-by-step explanation: Since degree x as well as the 10 ° angle seem to be aligned to a 38 45 ° angle, this would be 38-10=28 degrees.

Factor 48-8x to identify the equivalent expressions.

Answers

Answer:

The final answer is 8(6-x)

⇒ Given value: 48−8x

⇒ find: equivalent expression

⇒ Solution: 48−8x = 8(6−x)

[tex].[/tex]

Given line bd is a perpendicular bisector of ac prove triangle abc is isoscles.

Answers

Answer:

Step-by-step explanation:

I need help, I don't know how to solve this.

Answers

Answer:

The answer is 8h+6<

Step-by-step explanation:

Find the area of the shaded region in this figure.

A) 10 cm^2
B) 190 cm^2
C) 200 cm^2
D) 210 cm^2

Answers

Answer:

B) 190 cm^2

forgive me if I am wrong.

Option B is correct,  the area of the shaded region in this figure is 190 square centimeter.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Let us find the area of the large rectangle.

Length = 20 cm

Width = 10 cm

Area of rectangle = 20×10

=200 square centimeter

Now let us find the area of small rectangle

Area of small rectangle = 5×2

=10 square centimeter

Area of shaded region = 200-10

=190 square centimeter

Hence, Option B is correct,  the area of the shaded region in this figure is 190 square centimeter.

To learn more on Area of Rectangle click:

https://brainly.com/question/20693059

#SPJ7

A radio is on sale for $76.50 at a 15% discount. What was the original selling price?

Please show the solution and checking, it’s urgent

Answers

Answer:

87.975

Step-by-step explanation:

76.5 x 15% = 11.475

76.5 + 11.475 = 87.975

What type of number is -4n

Answers

From your choices, Id say integer

What is the greatest common factor of x8 and x5? x x3 x5 x8.

Answers

Answer:

Step-by-step explanation:

GCF of x⁸ and x⁵   is x⁵

the variable with lowest power will the GCF

Answer:

x5

Step-by-step explanation:

I did it on the test and got it right :)

hope I helped have a good day.

Other Questions
Explain the three processes of nuclear change and what is produced during as a result of that change PLS HELP In which graph does line L have a negative slope? PLEASE HELP ITS DUE IN 5 MINUTES Josefina y Armando ________ en la piscina. A ellos les gusta nadar.estnessonest Edgar can sound out most three-letter words, but when he sees a long eight-letter word, he turns to his teacher instead of trying to sound it out. His teacher encourages him to go ahead and try to sound it out by breaking it down into two parts. According to Vygotsky, Edgar:______.a. is in the zone of proximal development. b. is engaged in egocentric speech. c. is developing his fast-mapping skills. d. needs to practice his language overregularization Ann found an orange caterpillar and a green caterpillar in her backyard. The green caterpillar was 3/4 of an inch long and the orange caterpillar was 2/3 of an inch long. How much longer was the green caterpillar than the orange caterpillar? * Factor completely x3 6x2 8x 48. (x 6)(x2 8) (x 6)(x2 8) (x 6)(x2 8) (x 6)(x2 8). Anyone know the answer to this? If Hailey divides 150 ounces of sports drink with her volleyball team equally into 12 bottles, what is the weight of sport drink in one bottle? If 100 grams of water can produce 11 grams of hydrogen gas, how many kilograms of hydrogen gas can be produced in the electrolysis of 500 kg of water? what product has the longest lifespan that is not foodI need some examples just like 2 or 3 The perimeter please help Help me with this please I need this done today 1. The expected probability of rolling an even number in 1 roll of a fair cube with faces numbered 1 through 6 is 1/2 When the cube was rolled 20 times, an even number came up 15 times, or 3/4 of the time. When the same cube was rolled 100 times, an even number came up 51 times, or almost 1/2 the time. Why are the actual results closer to the expected probability of 1/2 when rolling the cube 100 times? What are the connotative effects of using thWhat are the connotative effects of using the word "failure" in paragraph 1? Triangle abc has interior angles that measure x, 90, and 65. Triangle def has interior angles that measure y, 65, and 20. Using this information, which statement is true? question 9 options: the triangles are similar because they each have an interior angle with measure 65. The two triangles are not similar because the interior angles are congruent but the side lengths are different. The two triangles are not similar because x 20, and therefore there cannot be three congruent interior angles. The two triangles are similar because y = 90. 16. . The number of economy-size cars rented in w weeks is represented by 152 + 3w. The number of full-size carsrented in w weeks is represented by 99 + 2w. Write a simplified polynomial that represents how many moreeconomy cars are rented in w weeks than full-size cars. Question 20. Describe the graph of the following equation. The very strong source of radio waves at the center of our galaxy is called. which snetence form passage 2