D = x4 + 5x – x2 + x - 1
E = x4 - 4x3 - 2x2 + 2

D + E?

D - E?​

Answers

Answer 1

Answer:

D + E = 2x⁴ + x³ –  3x²   + x + 1

D - E  = 9x³ +  x²   + x – 3

Step-by-step explanation:

D = x⁴ + 5x³ – x² + x – 1

E = x⁴ – 4x³ – 2x² + 2

D + E :                                                   D - E :

 x⁴ + 5x³ –  x²   + x – 1                          x⁴ + 5x³ –  x²   + x – 1  

+                                                         –                                                                  

 x⁴ – 4x³ – 2x² + 0 + 2                         x⁴ – 4x³ – 2x² + 0 + 2

_________________                      _________________

2x⁴ + x³ –  3x²   + x + 1                          0  +  9x³ +  x²   + x – 3

                                                       


Related Questions

Which statement best describes how to determine whether f(x) = x4 – x3 is an even function? determine whether (–x)4 – (–x)3 is equivalent to x4 – x3. determine whether (–x4) – (–x3) is equivalent to x4 x3. determine whether (–x)4 – (–x)3 is equivalent to –(x4 – x3). determine whether (–x4) – (–x3) is equivalent to –(x4 x3).

Answers

Since f(x) ≠ f(- x) then f(x) is not an even function. (–x)^4 – (–x)^3 is equivalent to x^4 – x^3.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

We need to find f(x) = x^4 – x^3 is an even function

If 2 functions are even, then

f(x) = f(- x)

f(x) =  [tex]- x^3[/tex]

f(- x) = [tex]- (- x)^3 = + x^3[/tex]

Since f(x) ≠ f(- x) then f(x) is not an even function.

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Answer:

A

Step-by-step explanation:

Solve ax + by = a-b and bx – ay = a+b

Answers

Answer: x=1 y=1

Step-by-step explanation:

ax+by=a−b .......... (1)

bx−ay=a+b .......... (2)

Multiply equation (1) with a  and  equation (2) with b ,

a

2

x+aby=a

2

−ab ..........(3)

b

2

x−aby=ab+b

2

 ......... (4)

Adding (3) and (4), we get,

(a

2

+b

2

)x=a

2

+b

2

⇒x=1

Now, from (1),

ax+by=a−b

a+by=a−b

by=−b

y=−1

Which point is a reflection of point R (-2,9) first across the y-axis and then across the x-axis?
A (-9,-2)
B (-2,-9)
C (2,-9)
D (9,-2)


Please Someone Help Me With This Question

Answers

Answer:

Option D

Step-by-step explanation:

The reflection of (x,y) is (y,x)

so R(—2,9) = (9,—2)

What is the first step in solving the system shown below using substitution? 2x=y-1 y=3x

Answers

Answer:

you have to solve the first equation for y

Step-by-step explanation:

Step-by-step explanation:

At first put the value of y that is 3x in equation 2x=y-1.

Then put the value of x in equation y=3x that comes from the first solving part.

Pt2 check first one for the question

Answers

Answer:

what how

Step-by-step explanation:

just this one
What percent of your budget is food if your monthly income is $6000 and you spend 900 on food each month?

Answers

Answer:

15%

Step-by-step explanation:

900/6000

which is the same as 900÷6000

900÷6000= 0.15

0.15 as a percent in 15%

Tori is throwing a pool party to kick off the summer. Her pool is empty, so she starts filling it with water from a garden hose. There is a proportional relationship between the time Tori has been filling up the pool (in minutes), x, and the volume of water in the pool (in gallons), y.

Answers

Answer:

y/x

Step-by-step explanation:

Answer: y/x

water/time = unit rate = y/x



What is the largest perimeter possible for a rectangle with positive whole-number dimensions and an area of 120 square centimeters ?

Answers

You could have the width as 1 and the length as 120 making the area 120cm^2 but the perimeter 242

the largest perimeter possible for a rectangle with positive whole-number dimensions and an area of 120 square centimeters is 242 cm.

What is a rectangle?

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, given that,

a rectangle with positive whole-number dimensions and an area of 120 square centimeters.

now, we get,

You could have the width as 1 and the length as 120 making the area 120cm^2 but the perimeter 242.

Hence, the largest perimeter possible for a rectangle with positive whole-number dimensions and an area of 120 square centimeters is 242 cm.

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In this polygon all angles are right angles what is the area of this polygon

Answers

Answer:

please check photo for detailed explanation

A regular decagon has a radius of 8 cm. what is the approximate area of the decagon? recall that a decagon is a polygon with 10 sides.

Answers

The approximate area of the decagon with a side of 8cm comes to be 492.40 cm².

The side of the regular decagon = 8cm

What is a regular decagon?

A regular decagon is a polygon with 10 sides that are equal to each other.

The area of a regular decagon with side a is:

[tex]A=\frac{5}{2} a^{2} \sqrt{5+2\sqrt{5} }[/tex]

So, the area A of the regular decagon with a side of 8cm:

[tex]A=\frac{5}{2} 8^{2} \sqrt{5+2\sqrt{5} }[/tex]

[tex]A=160\sqrt{5+2\sqrt{5} }[/tex]

A=492.40 cm²

Therefore, the approximate area of the decagon is 492.40 cm².

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which number has the greatest absolute value 50,30,-20,-60

Answers

Answer:

-60

Step-by-step explanation:

-60 has the greatest absolute value.

|-60| = 60

Answer:

-60

Step-by-step explanation:
To sum it up shortly and easy absulate value is how much a number is far from zero, -60 is basically 60 numbers away from zero making it the greatest.

A swimmer dives 300 feet underwater, swims up 150 feet, and then swims down 50 feet. Which expression describes the scenario correctly?

Answers

Answer:

Your answer would be  -300+150+(-50)

Step-by-step explanation:

pls help me complete the question 9to10. Thanks​

Answers

Answer:

9) y=x+16

10) width=x-a

Step-by-step explanation:

You can find the complete solution for question 9 and question 10 in the given attachment

ANSWER 9)

FROM FIGURE

area of televsion=area of rectangle=length×breadth

Given,

Area of rectangle=x²+16x

x²+16x=length×breadth

x²+16x=y×x

dividing by x on both sides we get

x+16=y

Hence y=x+16

I hope it helped you

What is the area of this rectangle? You should NOT include units in your answer. Round your answer to the nearest tenth. 6.3. 4.3

Answers

How do you find the area of a rectangle?

Don't forget to express the result in the squared unit, and you are good to go. The area of any rectangular place is or surface is its length multiplied by its width. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards.

Simplify the expression
10 +2 (9−4) x 7

Answers

Answer:

80

Step-by-step explanation:

10 +2 (9−4) x 7

PEMDAS

10 + 2(5) x 7

10 + 10 x 7

10 + 70

80

(assuming x in this equation was multiplication and not a variable?)

Hey there!

Just do PEMDAS; PEMDAS simply means…

• Parentheses
• Exponents
• Multiplication
• Division
• Addition

• Subtraction


10 + 2 (9 - 4) * 7

= 10 + 2(5) * 7

= 10 + 10 * 7

= 10 + 70

= 80


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)



Part B
Based on your research, which of the three stocks would have been the best investment option over the past year? Explain the reason for your
choice.

Answers

Answer:The J C Penney Company stock would have been the best investment option, because the stock provided a rate of return of 18.82 percent to investors during the past year. The Apple stock offered a lower return of 13.29 percent. The Ford Motor Company gave a negative return of 0.51 percent, which means investors in this stock lost a small amount of their investment over the past one year.

Step-by-step explanation: ANSWER FOR EDMENTUM/PLATO

(Answers may vary.)

The J C Penney Company stock would have been the best investment option, because the stock provided a rate of return of 18.82 percent to investors during the past year. The Apple stock offered a lower return of 13.29 percent. The Ford Motor Company gave a negative return of 0.51 percent, which means investors in this stock lost a small amount of their investment over the past one year.

Step-by-step explanation: edmentum/ plato exact

For what value of x is the equation 2(x-12)+x=36

Answers

[tex]~~~~~~2(x-12)+x=36\\\\\implies 2x-24+x = 36\\\\\implies 3x = 36+24\\\\\implies 3x = 60\\\\\implies x = \dfrac{60}3\\\\\implies x = 20[/tex]

2(x+12)+x=36

or,2x+24+x=36

or,3x+24=36

or,3x=36-24

or,3x=12

or,x=12/3

or,x=4

Thus, 20 is your answer

4. A line with the preimage equation y = 12x is translated 4 units to the right along the x-axis and 25 units up along the y-axis. Which is the equation of the image line?

Answers

Answer:

  (d)  y' = 12x -23

Step-by-step explanation:

The transformation that translates function y = f(x) by h units right and k units up is ...

  y' = f(x -h) +k

__

Your function is ...

  y = 12x

and you want to translate it by (h, k) = (4, 25). That makes it ...

  y' = 12(x -4) +25 = 12x -48 +25

  y' = 12x -23

Which pattern is a characteristic of a graph of exponential growth?.

Answers

Answer:

rises sharply on the right

Step-by-step explanation:

Marcus is buying a car. He borrows $10,000 from the bank at a 9% rate for 5 years. At the end of the 5 years, how much interest does Marcus pay?

Answers

Answer:

$4500 in interest.

Step-by-step explanation:

9% of 10,000 is 900, 900 x 5 is 4500

A large rectangular card measures 80 centimetres by 90 centimetres.
Maria uses all this card to make small rectangular cards measuring 40 millimetres
by 15 millimetres.
Calculate the number of small cards.

Answers

1200 cards

All measurements should be taken in centimeters

Calculate the area of large rectangular card:

Length * Width 80 * 907200 cm²

Calculate the area of each small cards:

Length * Width4 * 1.56 cm²

Divide the area of large card by area of small card

7200 cm² ÷ 6 cm²1200

Number of small cards: 1200 cards

For bigger rectangle:-

L=90cmB=80cm

Area:-

LB90(80)7200cm²720000mm²

For smaller rectangle

L=40mmB=15mm

Area:-

LB40(15)600mm²

Total cards:-

720000/6001200cards

Please help!!!!!

plane intersects a double-napped cone such that the plane contains the generating line.

Which terms describe the degenerate conic section that is formed?

Select each correct answer

A. pair of intersecting lines
B. degenerate hyperbola
C. line
D. point
E. degenerate parabola
F. degenerate ellipse

Answers

[tex]ANSWER✏[/tex]_________________

(: C PO

_________________

Answer:

degenerate parabola & Line

Step-by-step explanation:

I took the test

ILL GIVE BRAINLIEST
Type the correct answer in the box.

Answers

Answer:

1 (one)

Step-by-step explanation:

Answer:

1

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

Solve

First things first, evaluate all square roots in order, starting with the square root of 12

3.4641016151377553.1622776601683792.236067977499792.449489742783178

The next step is to divide, despite multiplication always coming before division, you cannot multiply without first knowing the values of the division.

[tex]3.5 / 3.2 = 1.09\\\\2.2 / 2.4 = 1.09[/tex]

Now, you can multiply.

[tex]1.09 * 1.09 = 1.1881[/tex]

That said, 1.1881 is closest to 1 because it has a 1 in the tenths place, the greatest place in a decimal number.

To convert 27 kg to mg, you would move the decimal point _____ places to the _____.

Answers

Answer:
To convert 27 kg to mg, you would move the decimal point 6 places to the right.

hope that's helpful to you!

A bag contains 5 red crayons, 4 blue crayons, and 6 green crayons. A crayon is randomly selected, its color is recorded, and it is returned to the bag. This is repeated 750 times.

How many times is it expected that a blue crayon will be selected?

Answers

Answer:200

Step-by-step explanation: There are 15balls and the probability of picking a blue ball once is 4/15

The ball is returned and repeated 750 Times. Multiply 4/15 by 750

A 200Answer:

Step-by-step explanation:

see attachment below 10 POINTS AND BRAINLYIEST

Answers

Answer:

solution in photo

Step-by-step explanation:

srry its on its side!

Sam is planning to start a pool cleaning business from his home. he has developed the following cost analysis for the set-up and operation for the first year of his business. he has $9,000 in savings and $23,000 in credit that he can use for the business. approximately what percent of the initial set-up and operation costs will sam need to finance with a lender or investor? item cost truck $9,000 pool cleaning supplies $6,000 payroll $23,000 advertising $1,500 a. 19% b. 23% c. 33% d. 78%

Answers

The percent of the initial set-up and operation costs that Sam needs to finance with a lender or investor is A. 19%.

How to illustrate the percentage?

From the information given, Sam is planning to start a pool cleaning business from his home. he has developed a cost analysis for the set-up and operation.

Here, the percent of the initial set-up and operation costs that Sam need to finance with a lender or investor is simply 19%.

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can anyone please teach me how to do this

Answers

Answer:

I will not give in answer but will give an example

Step-by-step explanation:

The area of irregular shapes can be determined by dividing the given shape into smaller regular shapes. The area of irregular shapes can be determined by dividing the given shape into smaller regular shapes.

In real life figures are often irregular shapes - a little bit messy. Think of your messy bedroom once more ‐ is it a perfect rectangle?

The trick is to break these figures into shapes that you know well and whose area you know how to find.

1. Find the area of this room:

3- 2 -4 -6 irregular shape

This can be done in two different ways but ill only give one example on how to find an area.

Method #1

Divide the figure into two rectangles and find all missing lengths.

The larger rectangle has an area of

4cm x 7cm = 28cm2

The smaller rectangle has an area of

4cm x 2cm = 8cm2

If we combine these we will find the total area:

28cm2 x 8cm2 = 36cm2

hope this helps :)

A backyard has an area of 64 square feet. What is the smallest possible perimeter of the backyard?

I have been having trouble with width, and perimeter! I cant memorize it all. I need help on that question, and I know I wont get an answer back immediately so, please help me out!

Answers

The answer would be 32 ft.

Hello"! Need Help!

Question 1) Given 15 cot A = B. Find sin A and sec A .



Notes:-
• Kindly Don't spam
• Need Genuine Answer
• Don't copy from other website.
• Answer will be step-by-step explanation otherwise answer will be report...​

Answers

⚠ANSWER⚠

Given 15 cot A = 8. Find sin A and sec A

Hope this helps...

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