If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.

Answers

Answer 1

Answer:

2x⁴ + x³ - 3x² - 4x + 2

4

Step-by-step explanation:

Given functions:

     f(x) = 2x⁴ - 3x² - 2x + 5

     g(x)  = x³ - 2x - 3

Unknown:

Sum of the polynomials = ?

Order of the sum  = ?

Solution:

The sum of the polynomial is expressed as;

    f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 +  x³ - 2x - 3

                   = 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3

                   = 2x⁴ + x³ - 3x² - 4x + 2

The order of the sum is the highest power which 4.

This polynomial is of the 4th order.


Related Questions

Someone help me pls , i really wouldn’t like to fail :(

Answers

Answer:

the answer to that is gonna be B

Step-by-step explanation:

i just looked at the x's and divided them by 2 and compared the answers to y and those were the only ones that seemed to work lol..

PLEASE HELP!! Please show me work also!

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There isn’t a picture, what’s the question?

HELP PLEASE HELP I’m doing geometry please help

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Answer:

(4x - 10) + x = 90 degrees

x = 20

Y = max + b what does b stand for

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Answer:

b stands for the y-intercept

Step-by-step explanation:

I hope this helps you out! :-)

Answer:

B= y intercept

Step-by-step explanation:

Geometry homework!
Hiii I’m having a really hard time with my homework, by any chance do you know the right answer?
Thank you!

Answers

Answer:

D

Step-by-step explanation:

The numbers between the < , > show the change from the preimage to the image. So, <-2,3> would be the x - 2 and the y + 3.

So, A(5,6) -> A'(3,9)

B(6,-3) -> B'(4,0)

C(7,2) -> C'(5,5)

Find the explicit formula and the value of the term indicated in 45, 40, 35, 30, ...; a50

Answers

Answer

25,20,15,10,5,0

Which values of x and y would make the following expression represent a real number? (4+5i)(x+ yi)
Ox=4,y= 5
Ox=-4, y = 0
Ox=4, y=-5
Ox=0, y= 5​

Answers

Answer:

C

Step-by-step explanation:

We have the expression [tex](4+5i)(x+yi)[/tex] and we want to find the values of [tex]x[/tex] and [tex]y[/tex] such that the expression will evaluate to a real number.

So, let's first expand the expression. Distribute:

[tex]=4(x+yi)+5i(x+yi)[/tex]

Distribute:

[tex]=4x+4yi+5xi+5yi^2[/tex]

Simplify:

[tex]=(4x-5y)+(4yi+5xi)[/tex]

So, we want to make the second part within the real numbers.

Notice that we only have two ways of doing this: 1) Either both [tex]x[/tex] and [tex]y[/tex] are imaginary numbers themselves canceling out the [tex]i[/tex], or 2), the entire expression equals 0.

Since our answer choices consists of only real numbers, this means that the imaginary part must be equal to 0. So:

[tex]4yi+5xi=0[/tex]

We can divide everything by [tex]i[/tex]:

[tex]4y+5x=0[/tex]

Now, we can use our answer choices.

Running down the list, we can see that the choice that works is C. If we substitute the values of C into the equation, we get:

[tex]4(-5)+5(4)=0\\\Rightarrow -20+20=0\stackrel{\checkmark}{=}0[/tex]

Therefore, our answer is C.

Answer:

c

Step-by-step explanation:

Darnell is building a model submarine using a scale of 1 inch = 16 feet.
a. The finished length of the model is 27 inches. What is the actual length of the submarine?
b. Suppose Darnell creates another model and decides to use a different scale. An actual length of 42 feet is shown on the new model as 12
inches. Complete the ratio for the new scale.
1 inch = feet

Answers

Answer:

A.  432 feet.

(I'll let somebody else answer B cause im to dum for dat)

Step-by-step explanation:

I did the math and checked :)

17+7j=87
What does j equal???????

Answers

if i’m not mistaking it’s j = 10

Answer:

j=10

Step-by-step explanation:

17+7j=87

7j=70

j=10

4 x 105 in standard notation

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Answer:

Lol its 420

Step-by-step explanation:

The sum of two consecutive odd integers is 84. Find the two integers.
Step 1 of 2: Set up an equation using the variable n as the smallest integer. Do not solve the problem.
Answer
Tutor
Skip
© 2020 Hawkes Learning
pe here to search
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.

Answers

Answer: n + (n + 2) = 84

Step-by-step explanation:

If n is the smallest integer, the other integer must be two more than that, because it has to be odd. The two numbers add up to 84, so the other side of the equation is 84.

Answer:

41 and 43.

Step-by-step explanation:

We can divide 84 by 2 and add and subtract 1 from the result to get 41 and 43 as the two numbers. For any number n that is divisible by 2, we can solve this problem by finding n/2 + 1 and n/2-1. These will always be consecutive odd numbers and if you add them up, you get n.

Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan...

What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?

Answers

Answer:

c)4:9

Step-by-step explanation:

can ya'll do my math homework too pleaseee? again I'll give brainliest and be rlly happy.

also you gotta write show all the work you did to get the answer cuz my math teacher keeps yelling at me to do that.

f + 6 = -3

-3x = 21

2x + 6 = -12

15 - 3r = -45

21 + 3y = 5y + 8 - 2

3(2x - 1) = 4

-5(f - 3) = 2 - 3(2f - 2)

x + 1/2 = x - 3/7

7x + y + 8 = 0

2x + 2y + 6 = 0

6x - 4y + 8 = 0

Danny parks his car at a parking lot for a flat fee of $2.00 plus $0.25 per hour that his car is parked.

a) Write an equation to represent Danny's total parking cost, C, in dollars, for t hours.

b) How much will it cost Danny to park his car for a full 24 hours?

c) If Danny has $6, for how many hours can he park his car in the parking lot?

Jodi wants to buy a book that costs $18 before taxes. The taxes are 13% HST.

a) Write an equation for the total cost, C, after taxes for a book that costs r dollars.

b) Find the total cost of the book after taxes.

c) Suppose the cost of another book after taxes is $36.80. What was the total cost of the book before taxes?

ya I know it's a lot but I'd rlly appreciate it if ya'll could do at least some of it. I'm like drowning in over due assignments and it's not cute.

thank youuuu

Answers

Answer:

1. f = -9

2. x = -7

3. x = -9

4. x = -20

5. y = 7.5

Step-by-step explanation:

Hope this helps

f=3 x=-7 x=-3 r=10 (i skipped y) x=7/6 or 1.16 f=1 next is no solution

Write f as a product of three linear factors. f(x) = x3 -3x2 + 2x - 6

Answers

Answer: f(x)= x8

Step-by-step explanation: f(x)= x3 - (-6) + -4x/ f(x)= 2x - x3 = x8

Can someone tell this word please. Identify the vocabulary word that matches the picture. ​

Answers

Answer:

proably and acute angle

Step-by-step explanation:

acute angles are angles that are less than 90 degrees and the picture obviouly shows an angle that is less than 90

need points sorry. hope you get the help you need

An artist sells paintings for $100 each. For each painting, the cost of the canvas
is $10 and the cost of the paints is $8.
How much profit (a positive amount of money earned after paying for
the costs) would the artist earn if she were to sell 10 paintings?

Answers

Answer:

820 in profit

Step-by-step explanation:

The artist makes $82 in profit on each painting. 82 x 10 is 820

Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal

Answers

Answer:

6 times

Step-by-step explanation:

Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;

y = 3x

How many times do the wheels rotate when Linda pedals 2 times

Here, x = 2

From ; y = 3x

y = 3(2) = 6

Hence, wheel rotates 6 times.

Answer:

Step-by-step explanation:

Find the value of x so that line m is parallel to line l.

Answers

Answer:

-17

Step-by-step explanation:

The angles are corresponding angles so when the lines are parallel, the lines are equal

3x-12 = 4x+5

Subtract 3x from each side

3x-12 -3x = 4x+5-3x

-12 = x+5

Subtract 5 from each side

-12 -5 = x+5-5

-17 = x

Answer:

-17

Step-by-step explanation:

The two angles that are shown are *corresponding angles* which means they lie in the same spot, just on two different parallel lines. They are congruent angles. Therefore, you should set up an equation to solve for x. Since the two angles are congruent, you should set the expressions equal to each other. 3x-12=4x+5.

The bottles of soda are sold to the student council in a box weighing 24 pounds. If there are 60 bottles in the box, how much does each bottle of soda weigh? Each bottle of soda cost $2.50.

Answers

Answer:

.4 lbs

Step-by-step explanation:

ask me a question. any question. ill probably answer it. unless I'm lazy.

Answers

Answer:

What is your fav artist music wise

Step-by-step explanation:

Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and Randy's
age.
Jenna and Jamie are 13 years old.

Answers

Answer:

The ratio is multiplying 1.6 so just pick all the proportional relationships where you have to multiply by 1.6.

Step-by-step explanation:

Proportional relationships man you have to multiply, but since I didn't know what you multiplied 5 to get to 8 I divided.

8÷5=1.6

And if you want to check your answer then multiply.

5×1.6=8

Could I please have BRAINLIEST?

Find the slope of the line. REMEMBER: Slopes must be simplified.

Answers

Answer: 2

Step-by-step explanation:

Answer:

ill help

Step-by-step explanation:

¡¡ANSWER MY QUESTION FIRST¡¡

Can you help me with these questions, please?

Answers

Answer:

∠5 = 70°

∠8 = 130°

Step-by-step explanation:

Since ∠5 and ∠1 are equal they will both equal 70°

Since ∠6 and ∠8 are also equal they will both equal 130°

Hope this helps

Plz mark brainliest

Need help please hehehehehe

Answers

Answer:

no help kid

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

HELP NOW PLZZZZZ HELPPPPPPPPPPPP

Answers

Answer:

y = 4/3x -11

Step-by-step explanation:

y = -3/4 x - 8

This is in slope intercept form  

y = mx+b where the slope is -3/4

We want a slope that is perpendicular

Take the negative reciprocal

-1 ( -3/4) = 4/3

The slope of the line that is perpendicular is 4/3

Using the slope intercept form of a line is

y = mx+b

y = 4/3x+b

Substituting the point into this equation

-3 = 4/3(6) +b

-3 = 8+b

Subtract 8 from each side

-3-8 = b

-11 =b

y = 4/3x -11

Plzs help me I give u brain list

Answers

Answer: am sorry but,

Step-by-step explanation: I can't see the picture...

Answer:

b (i think)

Step-by-step explanation:

Which statement is true about the transformation?

Answers

An

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which statement is true about the transformation? It is isometric because not all side lengths and angle measures remained the same. It is isometric because all side lengths and angle measures remained the same. It is not isometric because not all side lengths and angle measures remained the same.

6thh grade is harddd yall

Answers

Answer:

56

Step-by-step explanation:

i recommend using mathaway, type in "4,8,14"

For 4 the lcm is 2 for 8 the lcm is 4 and for 14 it is seven if I am not wrong

How do u solve this question?

Answers

Op I don’t know, but to find the volume is length x width x height

Help!
Which solution(s) are correct?

Answers

Answer: D. Matthew’s, Rhoda’s, and Ming’s

Step-by-step explanation:

√0.89 ≈ 0.94

Anyah is incorrect because both of her decimals are smaller than √0.89.

Matthew is correct because 0 is less than 0.89 but 1 is still greater than 0.89.

Rhoda is correct because 0.9² is 0.81 is less than 0.89 but 1.0² is 1 which is still greater than 0.89.

Ming is correct because 0.93² is about 0.87 which is less than 0.89 but 0.95² is about 0.9 which is still greater than 0.89.

I hope this helps!

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