Mathematics College

Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?
o x2+x+1+12
O x2 - X+1
O x2+x+1+421
x - x² + x

Answers

Answer 1

Answer:

x² + x + 1 and remainder 2

Step-by-step explanation:

Given

(x³ + 1) ÷ (x - 1)

Without using a synthetic division, we can use easier method to find the quotient.

We know the formula:

x³ - 1 = (x - 1)(x² + x + 1)

Rewrite the given as:

x³ + 1 = x³ - 1 + 2 = (x - 1)(x² + x + 1) + 2

This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2

Answer 2

The quotient of the equation is A = x³ + x + 1 + ( 2/x + 1 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first equation be p = x³ + 1

Let the second equation be q = x - 1

A = p / q

On simplifying , we get

A = x³ + 1 / ( x - 1 )

On dividing , we get the quotient as

A = x² + ( x² + 1 ) / ( x - 1 )

A = x³ + x + 1 + ( 2/x + 1 )

Hence , the quotient is A = x³ + x + 1 + ( 2/x + 1 )

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Related Questions

a knife is three times the cost of a spoon. 9 spoons and 12 knives cost £82.80. Work out the cost of one knife.

Answers

The answer is £5.52 as you do 12(3)+9 which equals 36+9=45 divided by 82.80 which equals 1.84 and as it is 3x the price 1.84*3=£5.52

Find the slope of a line perpendicular to y = -3/4x + 5. show your work.​

Answers

Answer:

4/3

Step-by-step explanation:

All you have to do is find the reciprocal of the slope and switch to the opposite sign.

-3/4

flip

-4/3

switch

4/3

Sorry if this doesn't really make much sense.  I don't know how else to explain this.

Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?

Answers

A 10% tip would be $7.50, so a$7 tip is too little

Answer:

a $7 tip is too little

Step-by-step explanation:

side length z =

angle d =

Answers

side length z=20
angle d=53

since they are similar triangles, angles should be the same, therefore,
d=53

if we consider the ration between the sides of the first triangle, its,
6:8:10 = 3:4:5 (when divided by the least common factor; 2)

by applying the same ratio for the second triangle, we can get,
15:20:25 (u can first divide both 15 and 25 by 5 and then multiply each term in 3:4:5 by 5)

therefore, z=20

Need help don’t know what to do I’m confused

Answers

Answer:

-x + y = 8

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

          = [tex]\frac{10-7}{2-(-1)} = \frac{3}{3} or 1[/tex]

slope = 1, m represents the slope

y - y1 = m(x - x1)

choose any point ( -1, 7 ) or ( 2,10 )

y - 7 = 1( x + 1 )

y - 7 = x + 1

-x + y = 8

Question need help very hard pls

Answers

Well I think the scale is number 7 because

Karen has completed 26 deliveries so far this week. She needs to make 40 deliveries for the week. What percentage of her deliveries has Karen completed?

Answers

Answer:

doop

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

40/100 = 26/x

40/100 = 2/5

2/5 = 26/x

cross multiply

2x = 130

divide by 2

x = 65

(6 1/2+2 2/5 )+ 2 1/2 using properties of addition

Answers

(6 1/2 + 2 2/5) + 2 1/2

8 9/10 + 2 1/2

= 11 2/5

The Picture has the answers and the question.

Answers

Answer:

B

Step-by-step explanation:

233 + 628 I want this answer please
THX

Answers

Answer:

861

Step-by-step explanation:

Calculator

Answer:

861

Step-by-step explanation:

Factor the common expression: 2x + 4 =

Answers

Answer:

2(x+2)

Step-by-step explanation:

Hope it helps you

What is the name of the line passing through the vertex that divides
the parabola into two symmetric parts?

Answers

Answer:

symmetry

Step-by-step explanation:

is the line that divides the parabola into two mirror images

Answer:

line of symmetry

Step-by-step explanation:

Help me out with the answer

Answers

Answer:

C i think

Step-by-step explanation:

Find the area of the image below: (4 points)

01) 41 square units
2) 44 square units
3) 52 square units
4) 56 square units

Answers

Show us the image so I can answer the question.

solve the equation

PLZ I need a good grade

Answers

P ≤ 6, first you divide both sides by 7 so you get p ≤ 6 bc 7/7 is 0 and 42/7 is 6

answer:

p = 6

1. pull out like factors

7p - 42  =   7 • (p - 6)

2. solve it

7=0

this equation can't be solved, therefore has no solution.

CH 7 Forces: pages 294 & 296
Calculate net forces. Draw an arrow to show direction. SC.6.P.13.3
Drag an arrow
to complete
your answer.
combined Forces
Net Force
Click to type
30 N
70 N
30 N
40 N
Click to type
60 N
60 N
Click to type
18 N 12 N
30N

Answers

awnser 1.100

awnser 2.-10

awnser 3.0

awnser 4.0

The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to

Answers

Answer:

10 ; 3.464 ; 2.4 ; (7.6, 12.4)

Step-by-step explanation:

Given the data :

10, 8, 12, 15, 13, 11, 6, 5

Point estimate of population mean :

m = ΣX / n

n = sample size = 8

(10+8+12+15+13+11+6+5) / 8

= 10

Point estimate of population standard deviation :

Sqrt(Σ(X - m)^2 / n-1)

((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7

= sqrt(84/7)

= 3.464

Margin of error at 95%:

Zcritical * sqrt(sd²/n)

Zcritical at 95% = 1.96

1.96 * sqrt(3.464^2 / 8)

Margin of Error = 2.4

Confidence interval :

m ± Z(s/sqrt(n))

10 - 1.96(3.4634/sqrt(8)) = 7.6

10 - 1.96(3.4634/sqrt(8)) = 12.4

graph y-2=-3(x-4). please help me​

Answers

Y(-2) = 3 (x - 4)

Y = 3 (-2 - 4)

Y = 6 + 12

Y= 18

Manny bought a car for $32,985. Five years later, the car was worth $19,500. Find the percent of change in the value of the car.

Answers

Answer:

is 40.9

Step-by-step explanation:

The percent of change in the value of the car is 40.88%

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Manny bought a car for $32,985. Five years later, the car was worth $19,500.

Percentage change = (32985-19500)/32985*100 = 40.88%

Hence, The percent of change in the value of the car is 40.88%

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Plz help me with the problem

Answers

Answer:Step-by-step explanation:

Just tell me the problem

A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. x P(x) 1 0.10 2 0.30 3 0.40 4 0.20 What is the probability the baker will sell exactly one batch

Answers

Answer:

[tex]P(x = 1) = 0.10[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccc}x & {1} & {2} & {3} & {4} \ \\ P(x) & {0.10} & {0.30} & {0.40} & {0.20} \ \ \end{array}[/tex]

Required

Determine the probability of selling exactly 1 batch

This probability is represented with [tex]P(x = 1)[/tex]

From the table:

When x = 1; P(x) = 0.10

Hence:

[tex]P(x = 1) = 0.10[/tex]

In other words, the probability of selling exactly 1 is 0.10

apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.

Answers

Answer:

3 times 30 miles and 4 times 40 miles

Step-by-step explanation:

Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Travis is planning to ride at a constant speed during an upcoming bike trip.

This implies that the slope of the graph will be a constant.

So the graph will be a straight line.

We have two points on the graph (1, 10) and (2, 20).

The starting point will be (0, 0).

Slope = (20 - 10) / (2 - 1) = 10

So the equation of the line is y = 10x.

When x = 3 hours, y = 30 miles

When x = 4 hours, y = 40 miles

Hence the points has to be marked at (3, 30) and (4, 40).

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The complete question with the graph is given below.

Shelby asked 15 of her friends to name their favorite ice cream flavor if Shelby choses one of her friends at random what is the probability that this friend's favorite flavor is either strawberry or vanilla?

Answers

Answer:

1

Step-by-step explanation:

The probability of an event occurring is the ratio of the possible outcome to the total outcome. In this case, 15 friends were chosen and the choices are either  strawberry or vanilla.

Since there are no other flavors, a friend picked at random will either pick strawberry or vanilla.

Therefore probability that this friend's favorite flavor is either strawberry or vanilla is 1.

Suppose restaurant​ A's chicken salad contains 6more grams of fat than restaurant​ B's chicken salad. Find the number of grams of fat in each salad if there are 56grams of fat in the two salads by solving the equation x plus (x plus 6 )equals 56​,where xrepresents the number of fat grams in the restaurant​ B's chicken salad and x plus 6represents the number of fat grams in restaurant​ A's chicken salad.

Answers

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

[tex]x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25[/tex]

A study of a population of 3600 dogs found that 6 out of every 90 dogs have brown fur. Based on the results of this study, how many dogs in the population DO NOT have brown fur?

Answers

3600/90= 40 x 6 =240
3600 - 240 = 3360
3360 dogs in the population DO NOT have brown fur.

2. Use the figure below and angle relationships to
find the measure of each angle.
54°
1
2

Answers

Answer:

m<1 = 90°

m<2 = 36°

Step-by-step explanation:

✔️m<2 + 54° = 90° (complementary angles)

m<2 = 90° - 54° (subtraction property of equality)

m<2 = 36°

✔️m<1 = m<2 + 54° (supplementary angles)

m<1 = 36° + 54°

m<1 = 90°

Can some one help thanks

Answers

Answer:

y = 8

Step-by-step explanation:

First substitute x with 6 in the equation

2y + 1/3(6) = 18

Multiple 1/3 with 6, which is 2

2y + 2 = 18

Solve the equation by subtracting 2 from both sides

2y + 2 = 18

    - 2     - 2

You get 2y = 16, so you divide 2 frm both sides

You get y = 8

The answer would be A if I did my math correctly

Please help me I’m not good with graphs

Answers

Answer:

I'm pretty sure it's 2 and 3

2 and 3

Good luck:)

FIND THE VALUE OF X! please help !

Answers

its 20 the sides are equal

Answer:

yes, it's 20

Step-by-step explanation:

first you should find the area

The diagram shows a piece of cheese in the shape of the triangular prism.Work out the area of the cling film needed to cover the cheese

Answers

Answer:

488.4 cm²

Step-by-step explanation:

Area of cling film needed = surface area of the triangular prism = 2(B.A) + P×H

Where,

B.A = triangular base area = ½*base*height

height = 10.5 cm

base = √(13.7² - 10.5²) = √77.44 = 8.8 cm

B.A = ½*8.8*10.5 = 46.2 cm²

P = perimeter of the triangular base = 10.5 + 13.7 + 8.8 = 33

H = height of prism = 12 cm

Surface area of triangular prism = 2(46.2) + 33*12

= 92.4 + 396

= 488.4 cm²

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