Use synthetic division to divide x^3-8x^2+9x-5 by x-3

Answers

Answer 1

Answer:

x^2 - 6x - 6, remainder -23

Step-by-step explanation:

Start like this:

              3    |     1      -8      9     -5

                    |

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

First step is to copy the 1 to below the line.

              3    |     1      -8      9     -5

                    |

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

                           1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3

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

                           1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15

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

                           1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15    -18

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

                           1     -5     -6     -23

Answer: x^2 - 6x - 6, remainder -23

Answer 2

The solution is, x^2 - 6x - 6, and, the  remainder -23.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

divide x^3-8x^2+9x-5 by x-3

Start like this:

             3    |     1      -8      9     -5

                   |

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

First step is to copy the 1 to below the line.

             3    |     1      -8      9     -5

                   |

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

                          1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3

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

                          1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15

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

                          1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15    -18

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

                          1     -5     -6     -23

Hence, Answer: x^2 - 6x - 6, remainder -23

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Related Questions

what is the volume of a cylinder has a radius of five and a height of 15

Answers

Answer:

1,178.097245 cm3

Step-by-step explanation:

i think id k tho

r=5
h=15
V= π•r^2•h
V=3.14•25•15
V=1,177.5

Please help me ASAP!!

Answers

Answer:

Option D

Step-by-step explanation:

McKenzie wants to put the soil in a box with the soil height = (10 - 2) inches

(As she plans to keep 2 inches from the top of the box empty)

Length of the box = 8 inches

Width of the box = 12 inches

Since, soil in the box will get the dimensions same as of the box but the height will be 2 inches less than the box height.

Therefore, volume of the soil = Length × Width × height

V = 8 × 12 × (10 - 2)

Option D will be the answer.

Which is the equation of the line in slope-intercept form?
A) y = -3x - 2
B) y = 3x + 2
C) y=-1/3x+2
D) y= 1/3x-2

Answers

Answer:

A). y = -3x - 2

Step-by-step explanation:

Since the line is going downwards from left to right, we know that it is a negative line.

Slope equals rise/run. If you take any two points, it goes down 3 and 1 right. You don't put 1 so it's simply just -3x.

The line crosses the y axis at -2.

solve for x: -1/2x + 15=-3

Answers

This is tough but you can Combine multiplied terms into a single fraction

Subtract

from both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Combine like terms

Multiply by 1

Multiply the numbers
-1/2x+15 = -3

Let’s get rid of the fraction by multiplying both sides by the denominator (2)!

2(-1/2x+15) = (-3)2

Multiply! ^^

-x+30 = -6

Next, let’s isolate the variable (x)!

-x = -6 -30

Simplify! ^^

-x = -36

Negatives will cancel so....


x = 36

does anyone have all the answers to the 8th grade math DRC interim for vermillion parish. bc I'm here stuck pls help. session 1 ​

Answers

You can download answer here

is.gd/qKzpBU

Answer:

I think I might have them from last year?

Step-by-step explanation:

Jackie has a puzzle book that contains a total of 70puzzles she has completed 2/5 of the puzzle in the book if Jackie completes 18 more puzzles what is the total number of puzzles that she will has completed in the book ?

Answers

Answer: 46 puzzles

Step-by-step explanation:

There are 70 puzzles in total in the book.

Jackie has completed 2/5 of these puzzles which is:

= 2/5 * 70

= 28 puzzles

Jackie has completed 28 puzzles. She then completes 18 more. The total number of puzzles completed is:

= 28 + 18

= 46 puzzles

The results of a survey are shown. In the survey, 28 students said their favorite dessert is ice cream. How many students were surveyed? Ice Cream: 35% Pie: 15% Candy: 23% Cake: 27%

Answers

Answer:

80 students

Step-by-step explanation:

35% = 28 students (Ice cream)

1% = 28 ÷ 35

= 0.8

Therefore,

100% = 0.8 × 100

= 80 students

Answer:

80 student

Step-by-step explanation:

28÷35×100 = 80

A middle school has 500 students. A survey was given to 50 randomly selected students, and 25 said they would buy fresh fruit in the cafeteria if it were offered. How many students all together could be expected to buy fresh fruit from the cafeteria if it were offered?

Answers

Answer:

250

Step-by-step explanation:

If they asked 50 people, and 25 said yes, that means you could excpect about 50% to buy fresh fruit, or 250 out of 500.  500/2=250

Name this polygon

Giving Brainlyest

Answers

Answer:

this is a Pentagon , have five sides

Answer:

A Pentagon

Step-by-step explanation:

Num supermercado vendem-se embalagens de bombons de 500 g. No gráfico de barras abaixo está o resultado da análise do número de bombons existentes em 20 embalagens.
A amplitude deste conjunto de dados é
8
e a amplitude interquartis é

Answers

Answer

Step-by-step explanation:

50 POINTS!! helpp <3
Maggie draws a triangle with a right angle. The other two angles have equal measures. What are the possible values of the exterior angles for Maggie's triangle? Explain.

Answers

The answer is 30 because a right angle is 90 degrees unless the other angle already has a number then you need to tell me that

Answer:

135°, 135° and 90°

Step-by-step explanation:

It is given a triangle with a right angle (90°) and the other two angles have equal measures, so they are both (45°)

exterior angles are thus 180 - 45, 180 - 45, 180 - 90

which are 135°, 135° and 90°.

(1.3x + 2.4) + (-6.1x – 3.2)

Answers

Step-by-step explanation:

In simplify form: 1.3x+2.4-6.1-3.2 = -4.8x-0.8

or factor the expression: =-4/5×(6x+1) Alternate form: -0.8(6x+1). I hope this helps.

Find the value of x, image attached below

Answers

Answer:

x = 10

Step-by-step explanation:

Sum of angles in a triangle is 180° , so

35° + (5x + 7)° + (9x - 2)° = 180°

The value of x can now be found by solving the linear equation.

5x + 9x + 35 + 7 - 2 = 180

14x + 40 = 180

14x = 180 - 40

14x = 140

x = 140/14

x = 10

An angle measures 2.2° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

28 and 62

Step-by-step explanation:

complementary angles add up to 90o

x+(x-34) =90

2x-34=90

2x=56

x=28 (small angle)

28+34=62 (big angle)

28+62 =90

HELP PLZZZ !!!HELP WHICH REPRESENTS THE WIDTH OF THE RECTANGLE IN YARds?!!!!

Answers

6x^2y^7 . width = 48x^3y^9
width = 48x^3y^9/6x^2y^7
width = 8xy^2

Math-geometry 9th grade I rlly need help with this finding x

Answers

Answer:

1)x=11

2)x=9

Step-by-step explanation:

In the picture

I got 0.2 but that’s not an option. please help

Answers

This is impossible. The answer is 0.2. Tell your teacher about the impossible problem.

The diagram shows quadrilateral MNPQ.

Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.

What is the length of line segment MQ?
8 units
10 units
11 units
15 units

Answers

Answer:

The answer is 11 units

Step-by-step explanation:

I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.

Hopes this helps!

For the given quadrilateral MNPQ, the length of MQ is 11 units.

Therefore, the option C is the correct answer.

Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.

We need to find the length of side MQ,

MQ = MR + RQ............(i) [segment addition property]

To find MR and RQ, we will have to do a construction in the figure given,

(Refer to the diagram attached)

Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.

So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,

So, we get,

QR = 3 and NR = 6.

Also, we have a right triangle MNR, where MN is the hypotenuse,

Using the Pythagoras theorem, we can find the length of MR,

MR² = MN² - NR²

MR = √(10² - 6²)

MR = √(100 - 36)

MR = √64

MR = 8

Putting the values of MR and QR in equation (i), we get,

MQ = MR + RQ

MQ = 8 + 3

MQ = 11

Hence the length of MQ is 11 units.

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Which situation can be modeled by the inequality 10+8h≥50?

A). You start with 10 songs and purchase albums of 8 songs each until you have a total of 50 songs.

B). You spend $10 plus $8 per week until you have less than $50

C). You start with $10 and spend $8 every week until you have spent at most $50.

D). You start with 10 erasers and get 8 more each week until you have at least 50 erasers.

Answers

Your answer will be D

pls help with this math question !!!

Answers

Answer:

B

Step-by-step explanation:

Because you devide the unit rate

A savings account starts with $980. If the simple interest rate is 5%, find
the total amount after 9 months.

Answers

Answer:

The total amount after 9 months is $441.

Step-by-step explanation:

5 ÷ 100 = 0.05

0.05 x $980 = $49

$49 x 9 = $441.

Determine the values of the variables in the parallelogram below.
5
(m2 - 4m)°
140°
x² + 4x

Answers

Answer:

m = -10, 14 x = 1, -5

Step-by-step explanation:

m^2 - 4m = 140 (in a parallelogram, opposite angles are congruent)

(1)m^2 - 4m - 140 = 0

Objective: Find two numbers that multiply to -140(1 * -140) and add to -4

Numbers: 10, -14

(m + 10)(m - 14) = 0

m + 10 = 0, m - 14 = 0

m = -10, m = 14

x^2 + 4x = 5 (in a parallelogram, opposite sides are equal)

(1)x^2 + 4x - 5 = 0

Objective: Find two numbers that multiply to -5(1 * -5) and add to 4

Numbers: -1, 5

(x - 1)(x + 5) = 0

x - 1 = 0, x + 5 = 0

x = 1, x = -5

Find the surface area of the prism

Answers

slated surface

17 × 20 = 340

2 triangle sides

2 × 8 × 15 ÷ 2 = 120

backside

8 × 20 = 160

bottom

15 × 20 = 300

sum all of it

340 + 120 + 160 + 300 = 920

can I get brainliest

How do we check for proportionality in tables?
A Pick 2 pairs from the table
B Cross multiply
C Divide
D All of the above

Answers

Answer:

C Divide.

Explanation: I think it’s C because normally in tables you divide the numbers by what they are divisible by. If you end up with the same result for all of them then it’s proportionate. Like this one shown below. I hope this helps.

The weight of 3 eggs is 120gr. Assuming the eggs are all the same weight, find the constant of proportionality.

Answers

Each Egg would weigh 40g !!! :D

The radius of a sphere with a volume of 4.5 cubic mm is ___ mm.

Answers

Answer:

2.5 mm

Step-by-step explanation:

6 =a/4 + 2 * pls help me, thank you

Answers

Answer:

16

Step-by-step explanation:

16/4+2( 16 divided by 4 then add 2)

Dante buys 6 1/6 pounds of turkey and ham at the store. The weight of the turkey is 3 1/2 pounds. Which equation and solution shoes how much ham Dante bought?
A. 6 1/6 + 3 1/2=h h = 9 2/3
B. 3 1/2 +h = 6 1/6 h = 2 2/3
C. h − 3 1/2 = 6 1/6 h = 9 2/3
D. 3 1/2h = 6 1/6 h = 1 16/21

Answers

Answer:

prob a

Step-by-step explanation:

solve -4 (h - 2) = 8

Answers

Answer:

h=0

Step-by-step explanation:

-4(h-2)=8

/4         /4

 h-2=-2

    h=0

Hey Btw I strongly reccomend you use photomath for your math classes.

Answer:

[tex] \frac{ - 4(h - 2}{ - 4} = \frac{8}{ - 4} \\ h - 2 = - 2 \\ h - 2 + 2 = - 2 + 2 \\ h = 0[/tex]

I really don’t know the answer lol

Answers

Answer:

30

Step-by-step explanation:

I am sure

If correct which it is, can you please mark brainliest

Angle three would also be thirty, and the other two angles (2+4) would be 180 (the degrees in a straight line ALWAYS) minus 30, which would be 150. The answer your looking for would be 30 though.

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