Mathematics High School

1.
Use synthetic division and the Remainder Theorem to find P(a).

P(x) = x3 + 7x2 + 4x; a = −2


2


12


−2


0

Answers

Answer 1

Answer:

12

Step-by-step explanation:

Please write this function as P(x) = x^3 + 7x^2 + 4x + 0.  This third order function has four coefficients.  We set up synthetic division with -2 as the divisor:

-2   /   1    7    4    0

              -2   -10  12

     ----------------------

        1      5     -6  12

The remainder is 12.  Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.

Related Questions

What trig function do you use to find x

Answers

Answer: Sine

Step-by-step explanation:

From the point of the angle we can see that x is the opposite. Since x is the opposite and the hypotenus is given then from SOHCAHTOA the trigonometric function used I finding x is sine.

Answer:

sine

Step-by-step explanation:

have a great day and I hope helpful

c) If Sam only has $25. how much fuel can be bought for $1.40/L?

Answers

Answer:

17.86 liters of fuels

Step-by-step explanation:

25 / 1.40 = 17.86

Or 17 if you cannot buy for less than $1.40

17.85

explanation:
25 ÷1.40= 17.85714285714286

Can someone help me? And no, I don’t just want the answer. I literally need to know how to do it pls

Answers

Answer:

36

Step-by-step explanation:

The angle b is a right angle which is divided into 2. So, each angle would measure 45 degree. (90 / 2 = 45)

tan 45 = 1

\AD\ = 100 - 64 = 36

to find x , remember SOCAHTOA

tan would be used because we have the vale of the opposite angle and we want to find the value of the adjacent angle

Tan 45 = opposite / adjacent

1 = 36/x

x = 36

Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?

Answers

Answer:

Solution given:

1 packet=600g

we have

1 tone =1000000g

3tone=3000000g

we have

no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]

=[tex] \frac{3000000}{600} [/tex]

=5000

packets she needs is 5000.

The numbers 360 and 400, written as the product of its prime factors, are
360 = 3 2 x 2 3 x 5 400 = 2 4 x5 2
a) Using the fact 400 = 2 4 x5 2 , find the square root of 400.

Answers

Answer:

20

Step-by-step explanation:

PLEASE HELP THANK YOU BRANLIEST IS PROVIDED

Answers

Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

πr²π(7+6-5/2)²π(8/2)²16π25.12in²

Area of centre rectangle

8(13)104in²

Area of right rectangle

3(6)18in²

Total

18+104+25.12122+25.12147.12in²

Line p is parallel to line q. Which proof explains why the sum of the interior angles of the triangle must be 180⁰?

Answers

Answer:

See proof below

Step-by-step explanation:

Find the diagram attached.

From the diagram, sum of angle on the straight  line l is 180degrees that is:

<A' + <B' + <C' = 180° .... 1

Also note that

<A = <A' (corresponding angle) ...2

<B = <B' (corresponding angle) ... 3

<C = <C' (vertically  opposite angle) ...4

Substitute  2, 3 and 4 into 1, we will have:

A+B+C = 180°

This shows that the sum of the interior angles of the triangle A  B and C is 180°

Casey wants to buy a gym membership. One gym has a $100 joining fee and costs $30 per month. Another gym has no joining fee and costs $55 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?

Answers

Answer:

4 months

Step-by-step explanation:

Give me anime recommendations, hope you had a good day!

Answers

Answer:

I just started watching My Hero Academia recently, and I'm already on season four! I love it, you should check it out if you haven't already!

Answer:

cowboy bebop

Step-by-step explanation:

The Tuskegee Airmen were best known for being? (Marking branliest but i think the only way to do that is if u comment on what i comment on i think so please do)

A.

the first group of Hispanic soldiers in the U.S. Army.

B.

soldiers who fought in battles of the Korean War.

C.

the first Black military pilots during World War II.

D.

pilots who discovered new islands in the Pacific.

Answers

The answer is C.

The first black military pilots during WW2

Question 11 (1 point)
David has a gift that he needs to wrap. He is trying to decide if he has enough Avengers wrapping paper or if he will have to use the plain blue
ones he has. The gift is 18 inches by 2 feet by 9 inches, rectangular shape. If he has a piece of Avengers wrapping paper that is 3.5 feet by 3
feet, is it enough to cover the present?

Answers

Answer:

no, it isn't enough to cover the present

Step-by-step explanation:

first, find the volume of the gift in feet

18*9=162 inches

162/12= 13.5 feet

13.5*2= 27 feet

then, the wrapping paper

3.5*3= 10.5 feet

compare them

27>10.5 meaning there isn't enough wrapping paper

Peyton opened a savings account with $1800 that pays no interest. She deposits an additional $200 each week thereafterHow much money would Peyton have in the account 40 weeks after opening the account?

Answers

Answer:

Step-by-step explanation:

Answer:

9600

Step-by-step explanation:

1800+200(40-1) = $9600

Find the area of the regular nonagon

Answers

Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3

If the rectangle below is enlarged using a scale factor of 1.5, what will the perimeter of the new rectangle be?



Group of answer choices

24 in

54 in

16.5 in

33 in

Answers

Answer:

33 in

Step-by-step explanation:

hope this helps i think it's right

how is 4(x+3) equal to 12+4x

Answers

Answer:

When distributed, 4(x+3) = 12+4x


[tex] \sqrt{6 {}^{4} } [/tex]
​

Answers

Answer:

6²

Step-by-step explanation:

[tex]\sqrt{6^4}[/tex][tex]6^2[/tex][tex]36[/tex]

[tex]---------[/tex]

hope it helps..

have a nice day/night!!

I need help ASAP plz answer

Answers

Answer:

The answer is A

Step-by-step explanation:

common denominator is 15

5×2=10

3×4=12

10+12=22

22/15

hope it helps :)

What value of x makes this statement true?
3.2 = 2x + 12

Answers

Answer:

-4.4

Step-by-step explanation:

Alexia surveyed 50 classmates about their favorite ice cream flavors. Each
classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
Coffee
14%
Chocolate
42%
Vanilla
Strawberry
18%
How many more of Alexia's classmates chose chocolate than chose vanilla?

Answers

Answer:

8

Step-by-step explanation:

A dog shelter had 19 puppies last month. This month, 38 puppies are at the shelter. What is the percent of change?

im in 7th grade

Answers

Answer:

I believe the answer MAY be 1.9%

yeah what notsosmartxo said

-3b-75=0 I need 2 solutions

Answers

Answer:

-25

Step-by-step explanation:

-3b-75=0

    +75 +75

-3b=75

/-3    /-3

b=-25

There isn't 2 solutions

---

hope it helps

Factor the expression. 10y+15+25y

Answers

Answer:

25y+15

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5(7y+3)

Step-by-step explanation:

Ciana Thomas drove her car 11,500 miles last year. Her fixed costs totaled $1,214 and her variable costs totaled $2,450. What was her cost per mile?

Answers

Answer:

11502

Step-by-step explanation:

The sum of two consecutive even integers is 118. Find the smaller of the two integers.

Answers

Answer:

58 + 60

Step-by-step explanation:

Even integers are always seperated by 2.

Someone please me thank you

Answers

Answer:

Graph dots in the points of the following:

(-4,10)

(-3,8)

(-2,6)

(-1,4)

(0,2)

(1,0)

(2,-2)

(3,-4)

(4,-6)

(5,-8)

(6,-10)

Connect these dots to make a line.

Find the measure of the arc or angle indicated

Please help this is geometry

Answers

A is the correct answer

please answer below :-)

Answers

Answer:

Ur answer is B!!!

Step-by-step explanation:

I have no time to explain but trust me ive had this question

Oh the answer would be letter choice B,

Jada can read 3/5 of an book in 1/4 of an hour How long would it take her to read one whole of the book
A.5/12 of a book per hour
B.5/12 of an hour per book
C. 2 and 2/5 books per hour
D.2 and 2/5 hours per book

Answers

Answer:

A)

Step-by-step explanation:

t = time to read whole book

(3/5 ÷ 1/4) = (5/5 ÷ t)

simplify:

12/5 = 1/t

cross-multiply:

12t = 5

t = 5/12  

If the bathtub holds a total of 46.2 gallons, how many minutes would it take to fill the entire tub? Write an equation in one variable to help you

solve the problem. The variable represents the unknown time in minutes.

BI y Xx Font Sizes - AA EI E

N

Answers

Answer:

It will take 2.8 minutes

Step-by-step explanation:

Given

[tex]x \to Minutes[/tex]

[tex]y \to Gallons[/tex]

See attachment for complete question

Required

Time to fill the tube with 46.2 gallons

The attached table is a represents a direct proportional relationship between x and y.

This relationship is:

[tex]y = kx[/tex]

Where k is the constant of proportionality.

When (x,y) = (1,16.5), we have:

[tex]16.5 = k*1[/tex]

[tex]16.5 = k[/tex]

[tex]k=16.5[/tex]

So, we have:

[tex]y = kx[/tex]

[tex]y = 16.5x[/tex]

To calculate the required time to fill 46.2 gallons, we make x the subject

[tex]x = \frac{y}{16.5}[/tex]

Where

[tex]y =46.2[/tex]

[tex]x = \frac{46.2}{16.5}[/tex]

[tex]x = 2.8[/tex]

What is the value of cos Tan
cos(Tan-'1)?
A.2
c. 2 radical 2
b. Radical 2
d.Radical 2 over
2



Answers

the answer would be D
Other Questions
If a mRNA codon has ACU on it, the matching tRNA anticodon would have What can be different between the products and reactants in a balanced chemical equation ? A)Total mass B)Total moles of individual elements C)Number of molecules D)Types of atoms Plz hurry How does Esperanza respond to Miguel's sweeping lesson?She bursts into tears and goes to bed.She gets angry and yells at Miguel.She laughs and watches him work.She picks up the broom and tries again. PLSSSSS HELPPP IF U KNOWWWW 30 POINTSSSSSSThe Chief was moved by the adventurer's tale and led him to the rare plant that he sought.Which word is incorrectly capitalized?Chiefplantrareadventurer's How much points do you need to pass your algebra 1 class? i need some help with this question What reasons does the speaker provide to support his claim?Question 2 options:We have a vaccine for polio, so we can helpChicken pox is a devastating disease, so we should help these kidsKing Leopold is killing tons of children, so we need to stop himWe shouldnt help these kids because they are too far away Which of the following provides the strongest thesis statement?A. the settlement and reparations from world war 1 helped cause world war 2.B. many european cities and much of the countryside were destroyed during the wars. C. world war 1 lasted from 1914 to 1918, while world war 2 lasted from 1939 to 1945.D. both world war 1 and world war 2 were fought on european soil. Van is heading out to lunch. He goes to the bank and withdraws $30 from his savings account. He heads to a local deli that sells half sub sandwiches for $4.99 and whole subs for $7.99. Eric decides that he's pretty hungry and goes for the whole. He pays with a $10 bill and tells the cashier to keep the change.Identify what role money plays in each of the following parts of the story.a. Role of money medium of unit of storeb. Exchange account of valuec. Eric can easily determine that the whole sandwich, while twice as long as the half, is priced at less than twice as much.d. Eric accumulates money in his savings account for future purchases.e. Eric buys his lunch with a $10 bill. From "The Mouse" Read the sentence. "Like a hunted beast breaking cover and dashing madly toward some other haven of momentary safety he threw aside his rug, and struggled frantically into his disheveled garments." Why does the author compare Theodoric to a "hunted beast"? A. to emphasize his weakness B. to emphasize his desperation C. to reveal that the woman is afraid of him D. to reveal that the authorities are coming why methane and silicon dioxide have different melting point Good ozone is being destroyed by:A. UV raysB. man-made chemicalsC. plantsD. the rising ocean select the correct answerWhat is SQL used for?A. to write machine language codeB. to design webpagesC. to extract information from databasesD. to convert machine language into a high-level language 1. Which statement best expresses the central idea of the text? (Text: https://www.commonlit.org/texts/characteristics-of-resilient-people)A. Resilience is a trait that people are born with and cannot belearnedB. Resilient people possess skills that enable them to avoidchallenges.C. Resilient people possess skills that enable them to overcomechallenges.D. Resilience is a trait that one develops in order to help andsupport others. Using the data in the table below, what is the constant rate of change, k?PLS HELP ASAP! (11 POINTS) You should always leave yourself plenty of space between yourself and the vehicle in front of you.O a) trueOb) false Match the items. The task is to match the lettered items with the correct numbered items. Appearing below is a list of lettered items. Following that is a list of numbered items. Each numbered item is followed by a drop-down. Select the letter in the drop down that best matches the numbered item with the lettered alternatives. a. Granulated cytoplasm and lobed nucleus b. Blue staining granules c. Red staining granule d. Largest leukocyte, no granules e. Purple staining nucleus with thin rim of cytoplasm Explain how test-marketing can increase profits. will give brainiest if correct! Please no links.Use the following definitions to answer questions 9 & 10Similarity- tells how something is alike or the same as something else.Difference- tells how something is not alike or not the same as something else.9. Identify a similarity or a difference between the ideas presented in documents 1 and 2.10. Explain a similarity or a difference in the ideas presented in these documents. Be sure to use evidencefrom both documents 1 and 2 in your response. A soccer field is a rectangle 160 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. Use Pythagorean Theorem to determine how far the players run?