What is the result when 3x3 + 20x2 – 11x – 28 is divided by x + 7?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let's perform this division using synthetic division.  The coefficients of the given expression are {3, 20, -11, -28}, and the appropriate divisor is -7 (that comes from x + 7):

-7    /     3       20     -11       -28

                     -21        7       28

      -------------------------------------

             3         -1      -4         0

Since the remainder is 0, -7 is a root of the given expression, and the coefficients of the quotient are {3, -1, -4}.  The quotient is therefore

3x^2 - x - 4


Related Questions

The following data show the scores Gina obtained on 12 IQ tests:
93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86
The box plot below represents these data:
74
76
78
80
82
84
86
88
90
92
94
96
98
Which of the following is shown incorrectly in the box plot? (5 points)
Оа
Median
Ob
Lower quartile
ос
Upper quartile
Od
Maximum value

Answers

Answer:

Median

Step-by-step explanation:

74,83,87,90,92,93,94

Add them together then divide by how many are there to get the median. Then check the data.

the answer please?????????

Answers

Answer:

Answer A- "The system of equations has one solution." :)

Step-by-step explanation:

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. ... If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Hope this helps! <3

The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool into two sections are J(15, 5) and K(15, 20). The coordinates are measured in meters. What is the area of each section?

Answers

Answer:

Step-by-step explanation:

PLZ HELP ITS DUEEE RNNNNN!!!!

Answers

Answer:

left: all three attributescenter: not a rectangleright: not a rectangle

Step-by-step explanation:

Some relevant characteristics of different quadrilaterals are ...

trapezoid: one pair of parallel sidesparallelogram: opposite angles are congruent, diagonals bisect each otherrectangle: a parallelogram; and all angles are congruent, diagonals are the same length

__

a.

There are two angles marked as right angles, and the remaining two angles are marked as congruent. The sum of angles in a quadrilateral is 360°, and each right angle is 90°. The only way the remaining angles can be congruent is for them to be (360° -180°)/2 = 90° each. That is, all of the angles in this figure must be congruent. It is ...

quadrilateralparallelogramrectangle

__

b.

Opposite angles are marked congruent. There is nothing to indicate any angle is a right angle. The figure is ...

quadrilateralparallelogram

__

c.

The diagonals are marked as bisecting each other. There is nothing to indicate the diagonals are the same length, or that any angle is a right angle. The figure is ...

quadrilateralparallelogram

I need help on this please:)

Answers

Answer:

Step-by-step explanation:

∠x=180-114

   =66°

∠p=114 (alt.ext.∠)

Answer:

Although it is not stated... I am assuming line "m" and line "n" are parallel to each other. That's the only way we can solve the problem..

Mike earned $150 by selling 75 boxes of cookies to his neighbors using the same rate for the cost of one box of cookies how many more boxes of cookies would mike need to sell to earn, show your work!

Answers

Answer:

to earn what

Step-by-step explanation:

Answer:

2 boxes of cookies

Step-by-step explanation:

It would be $150/75 which equals 2.

Identify the sequence of transformations that maps ABCD to JKLM.

A) reflection across x-axis, and then translation (x − 2, y + 10)

B) reflection across y-axis, and then translation (x − 2, y + 10)

C) reflection across x-axis, and then translation (x + 2, y − 10)

D) reflection across y-axis, and then translation (x + 2, y − 10)

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, no diagram is attached, but I would show how to solve it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is reflected across the x axis, the new point is at A'(x, -y).

If a point A(x, y) is reflected across the y axis, the new point is at A'(-x, y).

If a point A(x, y) is translated a units up and b units right, the new point is at A'(x + a, y + b).

If a point A(x, y) is translated a units down and b units left, the new point is at A'(x - a, y - b).

What is the square root?

Answers

The answer is 8 if I’m wrong someone correct me

Solve the system of equations by elimination:

−5x+3y=2
−5x−5y=−30

Answers

Answer: 1 : -5x + 3y = 2 Equation 2 : -5x - 5y = -30 Because both equations the system of equations by elimination.

Answer:

(2,4)

Step-by-step explanation:

multiply both sides by -1

-5x+3y=2

5x+5y=30

sum the equations vertically to eliminate at least one variable

8y=32

divide both sides by 8

8÷32=4

y=4

substitute the given value of y into the equation

-5+3×4=2

solve the equation for X

x=2

check ordered pair (2,4) is the solution of the system of equations

-5×2+3×4=2

-5×2-5×4= -30

2=2

-30=-30

solution is (2,4)

The town's poplation in the year 2020 was 1,500 people,
The population has been increasing 3% each year.
What will the population be in the year 2025?

Answers

Answer:

1739

Step-by-step explanation:

(1+growth)^years

so

(1+.03)^5=1.159...

Multiply by 1500 = 1738.9.......

A flagpole is 35 feet tall. A girl standing nearby who is 4 feet tall casts a shadow that
is 3 feet long. How long is the shadow of the flagpole (at the same time) to the
nearest foot?

Answers

Answer:

26 ft. =  the length of the flagpole's shadow to the nearest foot

Step-by-step explanation:

Let f = the length of the flagpole's shadow

girl's height/flagpole's height = girl's shadow length/flagpole's shadow length

4/35 = 3/f

4f = 105

f = 26.25 ft. ≅ 26 ft =  the length of the flagpole's shadow to the nearest foot.

How are exponents used for measuring an earthquake? Can you explain?

Answers

Answer:

Richter, the Richter scale was used for many years to describe the energy released by an earthquake. ... To estimate the Richter scale measure, write the amplitude, in mm, as 10 raised to an exponent (10x), then add 3 to the exponent, x. For example, if the amplitude is 100 mm, rewrite 100 as 102.

Step-by-step explanation:

Which statements regarding the diagram are correct? Check all that apply. ST ≅ ST by the reflexive property. ∠RWS ≅ ∠UWT because they are vertical angles. △RWS ≅ △UWT by AAS. △RST ≅ △UST by SAS. ∠WTU ≅ ∠WSR because CPCTC.

ANSWER: ST ≅ ST by the reflexive property.
∠RWS ≅ ∠UWT because they are vertical angles.
△RWS ≅ △UWT by AAS.
∠WTU ≅ ∠WSR because CPCTC.

Answers

Answer:

A., B., C., and E.

Step-by-step explanation:

edge 2021

The correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

Given the image attached below, let's analyze each of the options given to determine whether they are correct or not.

Statement 1 is correct because based on reflexive property, ST in ΔRST is congruent to ST in ΔUTS.

Statement 2 is also correct because ∠RWS is vertically opposite to ∠UWT, so they are vertical angles.

Statement 3 is also correct because ΔRWS and ΔUWT have two pairs of congruent angles (∠SRW ≅ ∠TUW and ∠RWS ≅ ∠UWT) and one pair of non-included congruent sides (SR ≅ TU).

Statement 4 is incorrect because ΔRST and ΔUST do not have a pair of included congruent angles to meet the SAS Congruence Criterion.

Statement 5 is correct because since ΔRWS ≅ ΔUWT, ∠WTU ≅ ∠WSR based on the CPCTC theorem.

Therefore, the correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.

Learn more about congruence theorem on:

https://brainly.com/question/2102943

how many times can 1/4 go into 6​

Answers

Answer:

24 times

Step-by-step explanation:

Answer:24

Step-by-step explanation:

Please help explain. I’ve came up with 3 wrong answers

Answers

The answer is skdkdksjxsjdjsj hope this is what your looking for

Answer:

step 1. The volume of a cylinder (V) = (pi)R^2(h).

step 2. if the volume of a similar cylinder is 88ft^3 with R =2ft

step 3. then the cylinder with R = 5 would be (5/2)^2 bigger.

step 4. the volume of figure A is 88(5/2)^2

step 5. V = 88(5/2)^2 = 550ft^3.

if I had 3 gold fish and 1 drown how many down. How many gold fish do I still have?​

Answers

Answer:

3

Step-by-step explanation:

Fishes doesn't drown duh

Which graph represents a proportional relationship? (quickly please :)​

Answers

Answer:

the first one

Step-by-step explanation:

a proportional graph has to go through the origin (0,0) and the first one is the only one that does

Helpppp?? I need help on this cause I just don’t wanna solve it

Answers

Answer:

3 and 3/5

Step-by-step explanation:

I will mark brain list to the person who got it correct

Answers

Answer:

-6

djdhhdhdxbxvsbsbvsshhsdh

-6 hehdbnfjenend

Step-by-step explanation:

hfea ehsusbshidbd

Please help meeeee!!!!!!!!! What’s the answer????

Answers

Answer:

The answer would be y= |x-2| -1.

When graphing the answer B would be a larger quantity but A is the correct answer. Hope this helps :))

2/7 of the person at a concert are children 1/4 and men and the rest women what fraction are women

Answers

Answer:

15/28 are women

Step-by-step explanation:

2/7 + 1/4 + x = 100%

2/7+1/4= 15/28

9514 1404 393

Answer:

  13/28

Step-by-step explanation:

The fraction that are women is found by subtracting the given fractions from 1.

  1 - 2/7 - 1/4 = 28/28 -8/28 -7/28 = (28 -8 -7)/28 = 13/28

The fraction that are women is 13/28.

Could you help me please ?

Answers

my answer is that 6.28 will be the answer.

PLEASE HELP ASAP!!!!

Answers

Answer:

Step-by-step explanation:

what is the answer. (11 x -8) + 7(x - 1) can you explain the answer in a sensible way. Thank you
Algebra question

Answers

Answer:

11x-8+7x-7

11x+7x-8-7

18x-15

Step-by-step explanation:

10 this dodge is good

John's high score on the Asteroid Game was 984. Mikes high score was 1,112. Rebecca just played the game and her high score was halfway between John's and Mikes. What was Rebecca's score?

Answers

Hello the answer would be 1048

Add the two numbers up:
984 + 1112 = 2096
And then divide by 2:
2096/2 = 1048

part of me wants to say that the answer is A , but the other part of me is saying the answer is D, which one is it?​

Answers

Answer:

Pretty sure it's A

Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long.?

Answers

Answer: 1 4/5 feet

Step-by-step explanation:

Here's the complete question:

Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long. How long is each streamer in fraction form?

The length of each streamer will be gotten by dividing the length of the strip of yellow paper by the number of streamers. This will be:

= 9 feet / 5

= 1 4/5 feet

Therefore, the length of each streamer is 1 4/5 feet.

simplify -8-(12)+(-2)

Answers

-8-12+(-2)

=-8-12-2

=-20-2

=-22

Ella practices piano for 45 minutes she spends m minutes longer working on her homework than she does practicing the piano

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but let's assume that you want to know the amount of time that she spends working on her homework.

Since we are informed that Ella practices piano for 45 minutes and that she spends m minutes longer working on her homework than she does practicing the piano, the expression to get the number of minutes that she uses on her homework will be:

= 45 + m

For example let's say that she spends 7 minutes more in her homework. Therefore, the total minutes spent on the homework will be:

= 45 + 7

= 52 minutes

A city has a population of 2,000 if 1,500 residents speak Spanish what percent of the population is Spanish speaking

Answers

Answer:

75%

Step-by-step explanation:

Find the ratio 1500 to 2000; it is 0.75.

75% of the population is Spanish speaking.

Answer:

75%

Step-by-step explanation:

1500 ÷ 200 = 0.75

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