The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?



x7 + 5x6 – 6x4 – 30x3 + 9x + 45


x – 5


x + 5


x7 + 5x6 + 6x4 + 30x3 + 9x + 45

Answers

Answer 1

Answer:

g(x) = x+5

Step-by-step explanation:

Given that,

[tex]f(x)=x^4+5x^3-3x-15[/tex]

[tex]q(x) = (x^3-3)[/tex]

We need to find the polynomial. We know that, Euclid division lemma states that

[tex]f(x)=q(x)\times g(x)+r(x)[/tex]

Where

f(x) is dividend

g(x) is the poynomial

q(x) is quotient

r(x) is remainder

So,

[tex]x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5[/tex]

So, the polynomial is (x+5).

 

Answer 2

Answer: its C

Step-by-step explanation: i just took the test


Related Questions

The lenths of the 2 legs of right triangle abc show below are given in inches. The midpoint of ab is how many inches from A ?

Answers

Answer:

Option B

Step-by-step explanation:

The complete question is attached

As we can see in the image , ABC is a right angle triangle

Thus as per Pythagorean theorem, to find line AB

AB2 = 322 + 242

AB2 = 1024 + 576

AB2 = 1600

Taking square root of both the sides, we get –  

AB = √1600

AB = 40

The mid point of AB = AB/2 = 40/2 = 20

A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
A. $18.30
B. $17.33
C. $17.46
D. $17.50

Answers

Answer:

b

Step-by-step explanation:

x+2y=3;3x+5y=7 solve by elimination method

Answers

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

x + 2y = 3 → (1)

3x + 5y = 7 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 6y = - 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - y = - 2

- y = - 2 ( multiply both sides by - 1 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for y

Substituting into (1)

x + 2(2) = 3

x + 4 = 3 ( subtract 4 from both sides )

x = - 1

solution is (- 1, 2 )

Answer:

(2,1)

Step-by-step explanation:

A P E X

State of the given binomial is a factor of the given polynomial

Answers

Answer:

B no

Step-by-step explanation:

If (n - 10) is a factor then if the polynomial equals zero when evaluated for 10 it is a factor

10³ - 17(10)² + 61(10) + 92

= 1000 - 1700 + 610 + 92

= 2 ≠ 0

Then ( n - 10) is not a factor of the polynomial

(I will give brainiest) Chelsea has just started her own flower business appropriately named Flowers by C.
She knows that she needs to order carnations and roses for her grand opening in order to make
bouquets and vases to sell. She can order a maximum of 300 carnations and 250 roses. The following inequalities represent the total number of bouquets and vases she can make given the
orders she places. Let x represent the number of bouquets and y represent the number of vases.
If she wants to make 18 vases, what is the maximum number of bouquets she can make?

Answers

Answer:

x < -3/5y+ 30

Step-by-step explanation:

x < -3/5y+ 30 for the first one

addboth sides by 6y then divideboth sides by 10

The measures of the angles of a triangle are shown in the figure below. Solve for x. ​

Answers

Answer:

?

Step-by-step explanation:

I can't see anything attached but I know all angles of a triangle add up to 180 degrees. It probably doesn't help tho.

Answer:

Since no figure is shown, i'll give you a hint.

Step-by-step explanation:

All angles inside a triangle equal 180 when combined.

i'll help more if you post the photo.

Use the scatter plot of car resale values to answer the following question.
A graph titled Car Resale Values has age of car on the x-axis, from 0 to 10 in increments of 2, and percentage of sticker price on the y-axis, for 0 to 100. A line of best fit goes through points (2, 80) and (9, 20).
What can you say about the correlation between the age of a car and its resale value?
a.
The trend line slopes downward from upper left to lower right, so there is a negative correlation between a car’s age and its resale value.
b.
The trend line slopes downward from upper left to lower right, so there is a positive correlation between a car’s age and its resale value.
c.
The trend line slopes upward from lower right to upper left, so there is a positive correlation between a car’s age and its resale value.
d.
There is no correlation between a car’s age and its resale value.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

taking the practice assignment

What exponential function represents the data in the table?


x f(x)
2 25
3 125
4 625
f(x) = x4 + 9
f(x) = 4x + 9
f(x) = x5
f(x) = 5x

Answers

Answer:

The Fourth one

[tex]f(x) = {5}^{x} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

A sheet of paper has a perimeter of 39 inches. If the width of the paper is 8.5
inches, what is the length of the sheet of paper?

Answers

Answer:

length of the sheet of paper is 11 in.

Step-by-step explanation:

Let "a" = short end of paper and let "b" = long end of paper.

Let "p" = perimeter

 

1st equation:   p = 39"

2nd equation:  2a + 2b = p   plug in "39" for diameter;  result:

2nd equation:  2a + 2b = 39

3rd equation:  b = 2a - 6

 

replace "b" in 2nd equation with "2a - 6" from 3rd equation, result:

2a + 2(2a - 6) = 39  simplified to:

2a + 4a - 12 = 39    simplified to:

6a - 12 = 39            simplified to:

6a = 51                   simplified to:

a = 51/6  =  8.5

so, a =  short end of paper = 8.5 inches

 

In 3rd equation (b = 2a - 6), substitute "a" with "8.5"

3rd equation becomes:   b = 2(8.5) - 6    simplified to:

b = 17 - 6  =  11

so, b = long end of paper = 11 inches

 

answer to question is:  dimensions of paper are ---

8.5 inches wide by 11 inches long

Answer:

The answer is 11

Step-by-step explanation:

So perimeter is base+ base+length+length. Therefore you take 8.5+8.5 which is 17 and subtract it from 39 to get 22. You take 22 and divide it by 2 which leaves you with 11.

Write an equation through the point (0,13) with a slope 11/3

Answers

Answer:

13=11/3(0)+c

c=13

y=11/3X+13

Step-by-step explanation:

please like and brainliest mee

Can someone please answer this

Answers

Answer:

It is true

Step-by-step explanation:

It is the same shape, it is just moved to a different spot on the graph because of translations.

Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
Is this sample of the students in the PE, class likely to be biased?

Answers

Don’t go to the persons above me!!!! link I’m warning you!!!!

Each onion ring had 45 calories and each slider have 325 calories, a combination meal with onions rings is a total of 920 calories and 3 times as many onion rings as there are sliders, white a system of equation

Answers

Answer:

Number of onion rings in the combination = x = 6

Number of sliders in the combination = y = 2

Step-by-step explanation:

At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion rings and sliders is shown to have 920 total calories and 3 times as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Let

Number of onion rings in the combination = x

Number of sliders in the combination = y

45x + 325y = 920 (1)

3 times as many onion rings as there are sliders

x = 3y (2)

Substitute x = 3y into (1)

45x + 325y = 920

45(3y) + 325y = 920

135y + 325y = 920

460y = 920

y = 920/460

y = 2

Substitute y = 2 into (2)

x = 3y

x = 3(2)

x = 6

Number of onion rings in the combination = x = 6

Number of sliders in the combination = y = 2

Repost! Can someone help?

Answers

All you havw ti do is basically graph the points and draw a line where most of the data occurs

Answer:

y = 7x + 3

Step-by-step explanation:

So take your lowest point (1, 10) and highest point (8, 59) and arranage them into a division problem so it looks like this 59 - 10/ 8 - 1. Once you use pemdas to reduce this divison problem it gives you 7 so them. Now you have your mx all we have to do now is find your b to do that you take your lowest y value 10 and set that equal to 7 + b. Now solve Algebraically to get b = 3.

3. Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96. If the equation 3x + 27 = 96 represents this situation, what does the variable x represent?​

Answers

Answer:

X is the amount Han made mowing lawns

because it said that she earned 3xs the amount he did. So you would take what he made times three plus the extra 27 she made from selling lemonade

What is the area of the parallelogram shown below?

Answers

Answer:

135 units square

Step-by-step explanation:

The area of a parallelogram is calculated by multplying height and base

The height of the given shape is 15 units and the base is 9 units

15 × 9 = 135 units square.

A quadratic in factored form is given as (x + 5) (2x - 3) = 0, what are the solutions of this given equation?
X = and x =

Answers

Answer:

x = -5, x = 1.5

Step-by-step explanation:

If the two expressions multiplied together is 0, that means that one of the expressions would have to equal 0. This gives us two possible answers. Our two equations are now:

x + 5 = 0

2x - 3 = 0

We will first solve the first one!

To isolate x, we subtract 5 from both sides to get:

x = -5

Onto the second one!

We begin to isolate x by adding 3 to both sides.

2x = 3

Now we divide both sides by 2.

x = 3/2 or 1.5

Answer:

Step-by-step explanation:

Help me, I will give brainliest to best answer. No work needs to be explained.

Write three hundreths as a decimal.

Use digits to write each decimal number:
a. one hundred two and three tenths
b. one hundred twenty-five ten-thousandths
c. three hundred and seventy-five thousandths

Answers

Answer:

3.00 I think or 30.0 I really don't know but that's what I think

What’s 6 x 5 * divide* 10? I need answers plz

Answers

Answer:

It is 3

Step-by-step explanation:

6*5= 30

30/10= 3

Mark me Brainliest?

If lines AB and CD are parallel, which of the following statements are true?
Check all that apply.
A. AB and CD are perpendicular
B. ABICO
O C. AB and CD intersect at a single point
D. AB || CD
E. AB and Co are skew lines
F. AB and CD are coplanar

Answers

Answer:

D

F

Step-by-step explanation:

Parallel lines are lines of equal distance apart (equidistant), that are on the same plane but they never meet

Perpendicular lines meet thus they are not parallel lines

Also, lines that intersect , meet, thus they are not parallel lines

Answer: D. AB||CD

              F.  AB and CD are coplaner

Step-by-step explanation:

A triangle is shown.
300
44 in.
What is the length, in inches (in.), of side a?
in.

Answers

For this you have to do sin of 30 degrees so if you have a calculator put sin(30)= a/44 and solve for a

Classify the polynomial by degree and number of terms.
-2x² + x4 +3
constant
linear
quadratic
cubic
quartic
monomial
binomial
trinomial

Answers

Answer:

linear

Step-by-step explanation:

Answer: its a trinomial

Step-by-step explanation:

Re-write the quadratic function below in Standard Form
y= -9(x - 1)2 – 6

Answers

18x+y=12 hope this helpssssss

7th grade math help me pleaseee

Answers

Part A.        n+6=15>>>n=9

Part B.n+6=15 >>> n+6-6=15-6

n=9

Rashaad has a bag that contains apple chews, strawberry chews, and watermelon chews. He performs an experiment. Rashaad randomly removes a chew from the bag, records the result, and returns the chew to the bag. Rashaad performs the experiment 24 times. The results are shown below:

An apple chew was selected 11 times.
A strawberry chew was selected 5 times.
A watermelon chew was selected 8 times.

Based on these results, express the probability that the next chew Rashaad removes from the bag will be watermelon chew as a fraction in simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

8 divided by 24 is .33

which in fraction form is 1/3

Answer:

1/3

Step-by-step explanation:

please i need the answer

Answers

Answer:

12m i think

Step-by-step explanation:

Answer: If it is finding area the answer the area is 9216m if it is perimeter and I believe it is then the perimeter is 40m

An average batter hits a ball with a force of 380 N. If the bat contacts the ball for a distance of 50 m, how much work is done?

Answers

Answer:

...

Step-by-step explanation:

which sets of three lengths can be used to form a triangle?

A. 7ft, 5ft, 2ft

B. 6ft, 4ft, 8ft

C. 15cm, 18cm

D. 72 in, 10 in, 90 in

E. 6m, 2m, 12m

F. 6 yd, 21 yd, 25yd

Answers

B, F, and the third one I don’t know (I think it’s C)

For C you only listed two lengths. For D and E there is one length that is longer than the other two lengths combined, so it can’t make a triangle. Same thing for A except for A one length is the same as the other two lengths combined.

Cendrick D'Amitrano works Friday and Saturday delivering pizza. He delivers 8 pizzas on Friday. How many pizzas must he deliver on Saturday to average (mean) 11 pizzas per day?

Answers

Answer:

3

Step-by-step explanation:

Friday : 8

Saturday : 3

translations on a coordinate plane

Answers

Check in my page for questions and someone answer the same question for me

Answer:

check in my page someone will answer it for me

Step-by-step explanation:

then you get your answer

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