Consider the polynomials given below.
P(x) = 14 + 3.13 + 2x2 - + 2
Q*) = (x3 + 2x2 + 3)(x2 - 2)
Determine the operation that results in the simplified expression below.
25 + 14 - 513 - 312 + I-8
A. P+Q
B. P.Q
C. PQ
D. O-P

Consider The Polynomials Given Below.P(x) = 14 + 3.13 + 2x2 - + 2Q*) = (x3 + 2x2 + 3)(x2 - 2)Determine

Answers

Answer 1

The operation that results in the simplified expression x⁵ + x⁴ - 5x³ - 3x² + x - 8 is; P + Q

How to Simplify Polynomials?

We are given the Polynomials as;

P(x) = x⁴ + 3x³ + 2x² - x + 2

Q(x) = (x³ + 2x² + 3)(x² - 2)

We want to find the combination of P and Q that would yield;

x⁵ + x⁴ - 5x³ - 3x² + x - 8

Let us expand Q(x) to get;

Q(x) = x⁵ + 2x⁴ + 3x² - 2x³ - 4x² - 6

Q(x) = x⁵ + 2x⁴ - 2x³ - x² - 6

Now, the combined polynomial shows us that coefficient of x⁴ is 1 and coefficient of x³ is - 5.

By inspection, we can say that the combination that would produce the required result is;

Q(x) - P(x) = x⁵ + 2x⁴ - 2x³ - x² - 6 -  x⁴ - 3x³ - 2x² + x - 2

Q(x) - P(x) = x⁵ + x⁴ - 5x³ - 3x² + x - 8

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Related Questions

A carpenter makes bookcases in 2 sizes, large and small. It takes 4 hours to make a
large bookcase and 2 hours to make a small one. The profit on a large bookcase is
$35 and on a small bookcase is $20. The carpenter can spend only 32 hours per
week making bookcases and must make at least 2 of the large and at least 4 of the
small each week. How many small and large bookcases should the carpenter make
to maximize his profit? What is his profit?

Answers

Answer:

6 large and 4 small

Step-by-step explanation:

6 times 4 =242 time 4= 832 hours

If 1+1= window, 2 + 2 equals...

Answers

Answer:

door?

Step-by-step explanation:

Or is it 2 windows?

The follow-ups to the Window Equation don't as a rule utilize the a additionally image and rises to sign, and are drawn by flipping one of the numbers.

1 + 1 = window

2 + 2 = fish

3 + 3 = eight

4 + 4 = arrow

5 + 5 = apple

6 + 6 = cherry

7 + 7 = triangle

8 + 8 = butterfly

Hope this helps!

Picture below: The steps and associated words showing how to complete the window symbol.

What is the median amount of water (in ounces) that Mindy drank per day

Answers

Answer:

i need the rest of the problem to figure it out sorry

Step-by-step explanation:

Answer:

60 ounces

Step-by-step explanation:

got i t on edmentum

HELPP PLSSSS NO BOTS OR I WILL REPORT!!!

Answers

Answer:

B. false

Step-by-step explanation:

What angle of rotation maps p onto P'?

Answers

Alms Alan’s Alanaj am so

simplify this number 300mm:9m​

Answers

Answer:

1 : 30

Step-by-step explanation:

300mm:9m​

We need to change the meters to mm

1 meter is 1000 mm

so 9 m is 9000 mm

300mm:9000mm

Divide both sides by 300

​300mm/300 : 9000/300

1 : 30

There are 180 trees in gardner grove orchard, and 18 of them are pears. What percent of the trees are pear trees?

Answers

the answer is 32.4%

The count of bacteria in a certain experiment was increasing at a rate of 2.5% per hour. if the experiment started with 1600. find the count of the bacteria at the end of 22 hours.

DONT ADD ANY LINK PLEASE I WILL REPORT AND PLEASE ANSWER CORRECTLY AND FAST I WILL MARK BRAINLIEST

Answers

The bacteria at the end of 22 hours is 2,480

Jimrgrant or Someone Answer this PLZ

Answers

Answer:

C and A

Step-by-step explanation:

For the triangle to be isosceles then the legs are congruent, that is

XZ = XY , substitute values

5x - 1 = 3x + 5 ( subtract 3x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3 → C

(10)

The diagonals of a square bisect each other

Calculate PR using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P(0, 0) and (x₂, y₂ ) = R(6, - 8)

PR = [tex]\sqrt{(6-0)^2}+(-8-0)^2[/tex]

     = [tex]\sqrt{6^2+(-8)^2}[/tex]

     = [tex]\sqrt{36+64}[/tex]

     = [tex]\sqrt{100}[/tex]

     = 10

Then

PT = 0.5 × 10 = 5 → A

Which sets of shapes can be used as the net of a three-dimensional figure? Select two options.
1 hexagon and 6 rectangles
2 pentagons and 5 triangles
6 rectangles, none of which are squares
4 squares and two rectangles that are not squares
4 triangles, only 3 of which are congruent triangles

Answers

Answer:

C and D

Step-by-step explanation:

Got it right on the test.

1 hexagon and 6 rectangles and 4 squares and two rectangles that are not squares are sets of shapes which can be used as the net of a three-dimensional figure. Option A and option D are correct.

Hexagon and 6 rectangles: This combination of shapes can be used to create the net of a hexagonal prism.

The hexagon will be used as the base of the prism, and the six rectangles can be attached to the sides of the hexagon to form the remaining faces of the prism.

When folded along the edges, the net will result in a hexagonal prism.

4 squares and two rectangles that are not squares: This combination can be used to create the net of a rectangular prism or a cuboid.

The four squares will be used as the top, bottom, and side faces of the prism, while the two rectangles (which are not squares) can be attached to the remaining sides to complete the net.

When the net is folded along the edges and assembled, it will form a rectangular prism or cuboid.

Hence, Option A and option D are correct. 1 hexagon and 6 rectangles and 4 squares and two rectangles that are not squares are sets of shapes which can be used as the net of a three-dimensional figure.

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Plz help me, correct answers will get brainliest <3

Answers

Answer:

∠ B = 48°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for ∠ B

∠ B = 180° - (90 + 42)° = 180° - 132° = 48°

I dont know the answer please help me yall

Answers

Answer:

180 customers made additional purchases

Step-by-step explanation:

In order to find the percent of something like 72% of 250 you need to convert the percentage to a decimal and multiply it to the number.

0.72 * 250 = 180

Answer:

180 customers

Step-by-step explanation:

Since 72% of the customers made additional purchases and there were 250 customers, we need to look for 72% of 250. To do this we convert 72 into a fraction, which makes it 0.72 and we turn the word "of" into a multiplication symbol (as of most commonly means multiplication in math). So, 0.72*250=180. Therefore, 180 customers made additional purchaces.

Question in pic plz help! ~

Answers

Im gonna label the long side of a rectangle a and the smaller side b.

For the perimeter, 2a + 2b = 34

For the area, a x b = 66

if a is 11 and b is 6, the equation for perimeter would be 22 + 12 = 34.

So a = 11 and  b = 6

Answer:

Longer side = 11

Shorter side = 6

Step-by-step explanation:

L x W = 66,  then W = 66/L

2L + 2W = 34

substitute for W:

2L + 2(66/L) = 34

2L + 132/L = 34

multiply both sides of the equation by L:

2L² + 132 = 34L

divide both sides by 2:

L² + 66 = 17L

L² - 17L + 66 = 0

factor:

(L - 11)(L - 6) = 0

L = 11 or L = 6

if L = 11, then W = 6

if L = 6 then W = 11

HELPP ME




About what percent of Australia's total medals were gold?
A. 5%
B. 2%
C. 50%
D. 20%

Answers

Answer:

20%

Of Australia's total percent were gold!

need help with this one??

Answers

Answer:

the correct one would be quadrant 3

Step-by-step explanation:

HELP ASAP 20 POINTS BRAINLIEST

Answers

Answer:

56.55 [tex]cm^{3}[/tex]

Step-by-step explanation:

r = 6/2 = 3

Area of a cylinder:

π[tex]r^{2}[/tex] x length

[tex]3^{2}[/tex]π x 6 = 54π

Area of sphere:

[tex]\frac{4}{3}[/tex] x π x [tex]r^{3}[/tex]

[tex]\frac{4}{3}[/tex] x π x [tex]3^{3}[/tex] = 36π

54π - 36π = 18π = 56.55

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

circle area = 50.24 units²

Step-by-step explanation:

circle area = πr² = 3.14(4²) = 3.14(16) = 50.24 units²

HURRY PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

option 3

Step-by-step explanation:

Answer:

wouldn't it be one, someone lmk if I'm right

Step-by-step explanation:

48 is half of 96 and the ratio says there are less trucks. 36 is the closest to 48 but still less than it.

1. Find
A) 35
B) 47.5
C) 67.5
D95

Answers

Answer:

find which one my guy im trying to get infinite awnseres srryyyyy

Step-by-step explanation:

Find the volume of the cylinder whose base area is (4x)2 and height is (5x)2.

Answers

Answer:

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

As we know that

The Volume of the cylinder is

= base × height

= (4x)^2 + (5x)^2

=16x^2 + 25x^2

= 41x^3

Hence, the volume of the cylinder is 41x^3

The volume of the cylinder will be [tex]20x^2[/tex] .

What is volume ?

Volume is the amount of space that something contains or fills.

Volume [tex]=Length*Breadth*Height[/tex]

We have,

Base area  [tex]=(4x)^2[/tex]

Height [tex]= (5x)^2[/tex]

So,

Volume of the cylinder [tex]=Base\ Area*Height[/tex]

                                        [tex]= (4x)^2* (5x)^2[/tex]

Volume of the cylinder [tex]=20x^2[/tex]

Hence, we can say that the volume of the cylinder will be [tex]20x^2[/tex] .

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this this this!!!!! can u answer​

Answers

Answer:

A= 30

B= 24.3

Step-by-step explanation:

solve the system using elimination. 4x+5y=2 -2x+2y=8 ( ? , ? )

Answers

Answer:

(-2,2)

Step-by-step explanation:

Hi,

4x + 5y = 2

-2x + 2y = 8

To solve using elimination, we can multiply the second equation by 2 to try and get rid of the x. So...

4x + 5y = 2

-4x + 4y = 16

Now, add...

9y = 18

Divide by 9...

y = 2

Now, let's solve for x...

4x + 5(2) = 2

4x + 10 = 2

4x = -8

x = -2

Your solution is, (-2,2)

I hope this helps :)

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(

The measures of two angles in ABC are 56 and 72.

What is the measure of A?

A. 32

B. 42

C. 52

D. 62

Answers

It will be 52 as you know when looking at a triangle with 3 angles they must all add up to 180 so you simply do 56+72 then subtract 180 from it and you get 52.

The charge to ship a package from one town to another, C, is given below as a function of the weight of the object, w, in pounds.

C = $3.50 + $0.55w

If the shipping cost for Cathy's item was $7.02, what was its weight?
A. 6.4 pounds
B. 64 pounds
C. 16.4 pounds
D. 0.64 of a pound

Answers

Answer:

Option A

Step-by-step explanation:

The total shipping cost given was  $7.02.

C = 7.02

Solve for 'w'.

[tex]C = $3.50 + $0.55w\\\\7.02=3.50+0.55w\\\\3.52=0.55w\\\\\boxed{6.4=w}[/tex]

Hope this helps.

The shaded sector above covers 1/3 of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in terms of ?

Answers

Given:

The shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.

Radius of the circle = 3 cm

To find:

The area of the sector in terms of π.

Solution:

The area of a circle is

[tex]A=\pi r^2[/tex]

Substituting [tex]r=3[/tex], we get

[tex]A=\pi (3)^2[/tex]

[tex]A=9\pi[/tex]

It is given that the shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.

The area of shaded sector [tex]=\dfrac{1}{3}A[/tex]

                                             [tex]=\dfrac{1}{3}(9\pi)[/tex]

                                             [tex]=3\pi[/tex]

Therefore, the area of shaded sector is 3π sq. cm.

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer
than Noah, and Noah scores three times as many points as Mai. If Mai
scores 5 points, how many
points did Elena score? Explain your reasoning.

Answers

Answer:

22

Step-by-step explanation:

if mai scores 5 points and noah scores 3 times that then noah scored 15 points, and if tyler scores four less than noah than he scored 11 points, which you multiply by 2 to get elena's score which is 22

A cone has a volume of 100[tex]\pi[/tex] Cubic units and a diameter of 10 units. What is the height of the cone?

Answers

Answer:

12 units

Step-by-step explanation:

The formula for the volume of a cone is given as:

πr²h/3

The volume = 100π cubic units

Diameter = 10 units.

Radius = Diameter/2

= 10 units/2 = 5 units

Hence:

Formula to find the height of a cone

h = 3V/πr²

We substitute

h = 3 × 100π/π × 5²

h = 300π/25π

h = 12 units

The height = 12 units

determine the slope given the two points. (-19,4) (17,11) PLEASE SHOW WORK

Answers

Answer:

m=7/36

Step-by-step explanation:

we need two points in order to find the ratio of the change in y and change in x, which is the slope

m=(y-y1)/(x-x1) (you can choose any point as y1 but be careful that you use the corresponding x1 value in the denominator)

m=(11-4)/(17-(-19))

m=7/36

How would you use the unit rate to find the number of cups of dry rice you would need to serve 50 people?

the unit rate is 3 people/1 cup of rice.

Answers

Answer:

3 people/1 cup

50/3 = 16.68 cups of dry rice

can someone please help me pls

Answers

Answer:

The answer is 21 units²

Step-by-step explanation:

To find the area of a right triangle you use the formula A=ab/2

So

A=6×7/2 = 21

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