Please help me is about polynomials

Please Help Me Is About Polynomials

Answers

Answer 1

Answer:

(x + 3)(x² – 3x + 7)

Step-by-step explanation:

To express x³ + 2x + 21 in the form of (x + 3)(px² + qx + r),

we need to divide (x³ + 2x + 21) by

(x + 3), since (x + 3) is a factor of

(x³ + 2x + 21)

See attached photo on how to divide (x³ + 2x + 21) by (x + 3).

From the attached photo,

(x³ + 2x + 21)/ (x + 3) = x² – 3x + 7

Therefore,

x³ + 2x + 21 => (x + 3)(px² + qx + r)

x³ + 2x + 21 => (x + 3)(x² – 3x + 7)

Please Help Me Is About Polynomials

Related Questions

70°
xo
Determine the value of x in the figure.
OA) X= 70
B) x = 35
OC) x = 140
OD) x = 40

Answers

hi there! your answer would be A) 70. hope this helps!
The correct answer is 70

It costs $38 for 2 people to go to the movie theater, 40% of the money was for snacks What was the cost of each movie ticket?

Answers

Answer:

$11.40

Step-by-step explanation:

$38 for 2 people to go to the movie theater.

38/2=19

$19 for each person to go to the movie theater.

40% of the money is for snacks, the movie ticket must be 60% of the money.

19×60%

19×60/100=11.4

The cost of each movie ticket is $11.40

Answer:

$11.4

Step-by-step explanation:

Total Cost = $38

Snacks:

=> [tex]\frac{40}{100}* 38[/tex]

=> $15.2

Left for 2 tickets:

=> $38-$15.2

=> $22.8

For 1 ticket:

=> $22.8/2

=> $11.4

some steps to construct an angle MNT congruent to angle pqr

Answers

Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the afternoon drawn from N in a point

Find the exact values of the following, giving your answers as fractions.
a) 2^-3
b) 3^-2
c) 10^-4

Answers

Answer:

a) 1/8

b) 1/9

c) 1/10,000

Step-by-step explanation:

When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:

x^-y = 1/x^y      (i apologize, exponents on here are really messy)

Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8

b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9

c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.

Sorry fractions and exponents don't work well on my computer. Hope this helps!

Find the slope of the line that passes through (93, -6) and (11, 24).

Answers

Answer:

-15/41

Step-by-step explanation:

Answer:

-15/41

Step-by-step explanation:

We can use the slope formula since we have 2 points

m = (y2-y1)/(x2-x1)

    = (24 - -6)/(11 - 93)

   = (24+6)/ (-82)

   = 30/ -82

   -15/41

George Washington was born on 2-22-1732. He died in 1799 at the age of 67. The month in which he died and the day of the month on which he died are consecutive even integers whose product is 168. When did Washington die? month day year

Answers

Answer:

George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799

Step-by-step explanation:

In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.

Therefore,

If one positive even integer = Month he died is represented by x

The second consecutive even integer = Day he died = x + 2

Their product =

x ( x + 2) = 168

x² + 2x = 168

x² + 2x - 168 = 0

We factorise

x² + 14x - 12x - 168 = 0

(x² + 14x) - (12x - 168) = 0

x(x + 14) - 12(x + 14) = 0

(x - 12)(x + 14) = 0

x - 12 = 0, x = 12

x + 14 = 0 , x = -14

Our answer cannot be a negative interger, hence x = 12

So the first positive even integer = 12

The second positive even integer = x+2 = 12 + 2 = 14

Therefore, the month he died = n = 12th month = December

The day he died = n + 2 = 14 = 14th day.

Hence, George Washington died on December 14th, 1799

Numerical with the arrangement: month - day - year

12 - 14 - 1799

The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles. Find the distance from city B to city C

Answers

Answer:

10 miles

Step-by-step explanation:

A & B is 100

A & C is 110

the difference is 10, Which should make B & C 10 miles

The distance from city B to city C will be 10 miles.

What are collinear points?

An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.

Let A, B, C, and D be the collinear points. Then the condition of the collinear will be

AB + BC = AC

The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles.

The distance from city B to city C will be given as,

AB + BC = AC

100 + BC = 110

BC = 110 - 100

BC = 10 miles

The distance from city B to city C will be 10 miles.

More about the collinear points link is given below.

https://brainly.com/question/1593959

#SPJ2

Evaluate the following:

Answers

Answer:

[tex]3\frac{17}{24}[/tex]

Step-by-step explanation:

[tex]14\frac{1}{6}-10\frac{11}{24}=\\\\\frac{85}{6}-\frac{251}{24}=\\\\\frac{340}{24}-\frac{251}{24}=\\\\\frac{89}{24}=\\\\3\frac{17}{24}[/tex]

14x6= 84/6

84/6 +1/6 = 85/6

10 x 24= 240/24

240/24 +11/24 = 251/24

85x 4 = 340

340-251= 89/24

3 17/24

Five-Pointed Star Logo
1. Use the interactive Spider Tool located on page 1 of this activity to recreate the
five-pointed star logo. Start by asking the spider to move 50 units, rotate 144
degrees, and repeat the sequence until she returns to her starting point. Remember
that you can use "Zoom out" or "Fit to window" if the spider leaves the viewing area.
(To draw the logo with the feet of the star on the bottom, have her rotate 72 degrees,
move 50 units, rotate 144 degrees, and then repeat the sequence until she returns to
her starting point.) In the space below, sketch the five-pointed star logo you created
with the Spider Tool. (4 points)

Answers

Answer:

  see attached

Step-by-step explanation:

The image on the left in the attachment is created with an initial direction angle of 0°. The image on the right, with both feet at the bottom, is created with an initial direction of 36° (not 72°). An initial rotation of 72° results in an image like the left one, except with the origin at the bottom point.

In each case, the origin is marked with a dot.

The final result is a five-pointed start or a five-pointed start upwards if you rotate 72 degrees rather than 144 degrees the first time.

What is a star?

A star is a type of polygon, which means it is a shape with multiple sides. Indeed, five-pointed stars are classified as decagons or polygons with 10 sides but the number of sides varies if the star is six-pointed, ten-pointed star, etc.

How is a five-pointed star created?

All stars use lines with specific angles to be created. In the case of five-pointed stars, whcih are the most common the general pattern is:

Use lines of the same lenght and rotate 144° each time.

This means that if you follow the instruction you will obtain a five-pointed star.

Learn more about stars in: https://brainly.com/question/24493066

simplify 10 in radical sign times 8 in radical sign

Answers

It would be (c) I believe square root of 80

If you travel 200 miles in 300 minutes. How fast did you travel in MPH...mile per hour?

Answers

Answer: 40 miles per hour

Step-by-step explanation:

first you do 300 divided by 60 to see how many hoiurs there is in 300 min. (5)

then you devide 200 by 5 to get 40 miles per hour

Please I need help with this ASAP..Thanks

Answers

Answer:

c

Step-by-step explanation:

bruh

-16 + 2x = -32 + 8x
X =​

Answers

Answer:

[tex]x=\frac{8}{3}[/tex]

Step-by-step explanation:

Add 16 to both sides:

2x = -16 + 8x

Subtract 8x from both sides

-6x = -16

Divide by negative -6

x = 8/3

Answer:

x = 8/3

Step-by-step explanation:

-16 + 2x = -32 + 8x

Subtract 2x from each side

-16 + 2x-2x = -32 + 8x-2x

-16 = -32 + 6x

Add 32 to each side

-16+32 = -32+32 +6x

16 = 6x

Divide by 6

16/6 = 6x/6

8/3 =x

Can you identify a cluster on a scatter plot

Answers

Answer:

[see below]

Step-by-step explanation:

There are no given options, but here's a basic definition of a cluster:

Clusters are points on a scatter plot that have very close value to one another, which results in the points being "grouped together". I have attached an example of a cluster.  

Hope this helps.

Answer:

some times the data points in a scatter plot form distinct group. these groups are called cluster

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

BC=10

Step-by-step explanation:

BD-BC=14-4=10

Answer:

BC is 10

Step-by-step explanation:

BD is the whole thing

CD and BC make up BD

so BD-CD=BC

     14 - 4 = 10

BC is 10

Which transformations could have occurred to map ABC
to ABC
a rotation and a reflection
a translation and a dilation
a reflection and a dilation
a ditation and a rotation

Answers

A translation and dilation

Answer:

a dilation and a rotation

Step-by-step explanation:

is what I put

What is the quotient of 6/7 and 3/14


One-fourth
2
3 and one-third
4

Answers

Answer:

4

Step-by-step explanation:

When we want to find a quotient, what we do is that we switch the numerator and the denominator of the second fraction and then we multiply the two resulting fractions. If we have [tex]\frac{6}{7}[/tex] and [tex]\frac{3}{14}[/tex], doing this we would have:

[tex]\frac{6}{7}(\frac{14}{3})=\frac{84}{21} = \frac{28}{7} =\frac{4}{1}=4[/tex]

Thus, the right answer is 4.

There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?

Answers

Answer:

9120

Step-by-step explanation:

Given ;

Total people =96

It means 48 are male and 48 are females

Handshake can be determined by = Handshake of male+ handshake of female

=48*95+48*95

=4560+4560

=9120

In professional baseball, each team plays 160 games. After playing half their games, team A has won 60 and team B has won 49. If team A wins half of its remaining games, how many of its remaining games must team B win to have the same number of wins as team A?

Answers

Team B would have to win 11 more games

If a translation maps point (3, 2) to (4, 5); or T: (3, 2) —>(4,5), indicate the image for (2,4).
O (3,7)
O (2,-1)
O (5,3)

Answers

Answer:

(5,3)

I'm not soooo sure I'm %50 sure

Please help real quick good points

Answers

Answer:

b. six equilateral triangles

Step-by-step explanation:

The 6 interior angles of the hexagon are supplementary to the exterior angle and are 120 deg. ... Therefore the angles at the center is 360/6 = 60 degrees for each triangle. So all three angles of the six triangles are 60 deg each. So there are 6 equilateral triangles that form the regular hexagon.

Find the values of the missing angles​

Answers

Answer:

65

Step-by-step explanation:

Angle A is 55 degrees.

A triangle adds up to 180 in degrees so 60 + 55 = 115

180 - 115 = 65 therefore angle C is 65 degrees.

Angle B is equal to angle C so it's also 65 degrees.

Basically:

A - 55

B - 65

C - 65

Scarlet and Paula are on a vacation. They went to a store to buy some souvenirs for their friends back home. Scarlet bought three pairs of sunglasses and two shirts for $81 and Paula bought one pair of sunglasses and five shirts for $105. What is the cost of one pair of sunglasses and one shirt? The cost of one pair of sunglasses is $15 and the cost of one shirt is $18. The cost of one pair of sunglasses is $18 and the cost of one shirt is $15. The cost of one pair of sunglasses is $12 and the cost of one shirt is $23. The cost of one pair of sunglasses is $23 and the cost of one shirt is $12.

Answers

Answer:

a

Step-by-step explanation:

1. Choose a person.

2. Substitute the numbers into the correct values.

105 - 15 = ?/5 = 18

105 - 18 = ?/5 = 3.48

105 - 12 = ?/5 = 18.6

105 - 23 = ?/5 = 16.4

It is A because it is the only one in which the answer is equivalent to the cost.

Hope this helps:)

Answer:

The answer is A. .

Step-by-step explanation:

Let [tex]s[/tex] represent the amount of sunglasses bought and [tex]t[/tex] represent the amount of shirts bought.

Scarlet bought 3 pairs of sunglasses and 2 shirts for $81. In other words:

[tex]3s+2t=81[/tex]

Paula bought one pair of sunglasses and five shirts for $105. In other words:

[tex]s+5t=105[/tex]

We have a system of equations and can solve it by isolating [tex]s[/tex].

[tex]s+5t=105[/tex]

[tex]s=105-5t[/tex]

Now, substitute.

[tex]3s+2t=81[/tex]

[tex]3(105-5t)+2t=81[/tex]

[tex]315-15t+2t=81[/tex]

[tex]-13t=-234[/tex]

[tex]t=18[/tex]

Now, determine [tex]s.[/tex]

[tex]s=105-5t[/tex]

[tex]s=105-5(18)[/tex]

[tex]s=15[/tex]

Thus, a pair of sunglasses is $15 and a shirt is $18.

7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
company to recover an initial investement of $45,000 and eam an additional $15,000 as profit?
The company has to sell
$15,000 as profit.
shaving sets to recover an initial investment of $45,000 and earn an additional

Answers

Answer:30,000

Step-by-step explanation:

Classify the following real numbers as rational or irrational:

Answers

Answer:

a. rational - It can be written as a fraction so it's rational.

b. rational - Simplified it equals to 9, a whole, therefore rational, number.

c. irrational - Even once simplified, it contains a square root, therefore it's irrational.

d. rational - It can be written as a fraction so it's rational.

e. irrational - It cannot be simplified from a square root, therefore it's irrational.

Graph the rational function f(x)=2x-3 over x+4

Answers

Answer

Here is the graph of f(x).

graph{-(x)/((2x-3)(x+4)) [-10, 10, -5, 5]}

A telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $155 for 100 megabytes and $245 for 200 megabytes. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph? Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 0.9 Draw a graph that joins the points (155, 100) and (245, 200) and has a slope = 1.1 Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 1.1 Draw a graph which joins the points (100, 155) and (200, 245) and has a slope = 0.9

Answers

Answer:

Draw a graph that joins the points (100, 155) and (200, 245) and has a slope = 0.9

Step-by-step explanation:

x variable represents total megabytes of data used

y variable represents total monthly charges

The company charges $155 (y) for 100 megabytes (x) means that the point (100, 155) belongs to the equation.

The company charges $245 (y) for 200 megabytes (x) means that the point (200, 245) belongs to the equation.

With these two points, the slope is computed as follows:

(245 - 155)/(200 - 100) = 0.9

Answer:

the correct answer is

Step-by-step explanation:

Second option: Draw a graph that joins the points 100 and 135 500 and  375 and has a slope of 0.6  

or if you have the other problem its

Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50

You work for a florist. Normally, it takes you 20 hours to assemble 10 flower arrangements. How long does it take you to assemble one flower arrangement?

Answers

Answer:

2 hours

Step-by-step explanation:

We want to find the unit rate, or time per flower arrangement.

To find the unit rate, divide the number of hours by the number of flower arrangements.

hours/flower arrangements

It takes 20 hours to assemble 10 flower arrangements.

20 hours/ 10 flower arrangements

Divide 20 by 10 (20/10=2)

2 hours/ flower arrangement

It take 2 hours to assemble one flower arrangment.

Choose the algebraic description that maps ΔABC onto ΔA′B′C′ in the given figure. answwers: A) (x, y) → (x + 4, y + 5) B) (x, y) → (x – 4, y – 5) C) (x, y) → (x – 4, y + 5) D) (x, y) → (x + 5, y – 4)

Answers

Answer:

C. (x, y) -> (x - 4, y + 5)

Step-by-step explanation:

A is at (2, -2)

A' is at (-2, 3)

To get from 2 to -2, you must subtract 4, so (x - 4)

To get from -2 to 3, you must add 5, so (y + 5)

(x - 4, y + 5)

I hope this helps :))

The algebraic description that maps ΔABC onto ΔA′B′C′ in the given figure should be option C. (x, y) -> (x - 4, y + 5)

Algebraic description:

Since

A is at (2, -2)

A' is at (-2, 3)

So,

To get from 2 to -2, you should deduct 4, so (x - 4)

And,

To get from -2 to 3, you should deduct 5, so (y + 5)

Therefore,

(x - 4, y + 5)

Learn more about algebraic here: https://brainly.com/question/24754151

Find the equation of the line below. ​

Answers

Answer:

D. y = 1/3x

Step-by-step explanation:

The line rises 1 unit up and runs 3 units to the right. The numerator (top) of the fraction, in this case the "rise" (units traveled up or down) of the equation, is 1. The denominator (bottom) of the fraction is 3, representing the "run" (units traveled right or left) of the equation.

Good luck on your test/work, I hope this helped!

answer: D
explanation: if u start at 0,0 it increases 1 over y and 3 tonthe side which is 1/3x
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