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

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

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

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

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 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

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:

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

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 :)

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.

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:

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.

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:

Find the measure of the arc or angle indicated

Please help this is geometry

Answers

A is the correct answer

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

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

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

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

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,

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.

-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

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

Answers

Answer:

-4.4

Step-by-step explanation:

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

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°

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


[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!!

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

Answers

Answer:

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

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:

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