A polynomial of degree 3 is multiplied by a polynomial of degree 5. What is the degree of the product?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

The degree of a polynomial refers to the term with the highest exponent.  Thus the highest exponent in a degree 3 polynomial is x3; for a degree 5 polynomial, it's x5.  When you multiply

x3*x5 = x3+5 = x8.  

So the product of a degree 3 polynomial and a degree 5 polynomial is a degree 8 polynomial.

Your leading term will result from the 3-degree term of the first polynomial, and the 5-degree term of the second.  So you'll have something like ax3 * bx5.  That will result in x3*x5=x8, so your product will have degree 8.


Related Questions

Find the surface area

Answers

Answer:

rectangular prism = cuboid

total surface area of a cuboid (tsa) = 2(lb+bh+hl)

l=length = 3cm

b=breadth = 6cm

h=height = 5cm

tsa = 2( 3*6 + 6*5 + 5*3 )

        2( 18 + 30 + 15 )

         2 * 63

       = 126 [tex]cm^{2}[/tex]

hope this answer helps you.....

A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If we start observing the piston at its maximal height, find an equation modelling the height, h, t seconds from the initial observation.

Answers

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

Simplify the expression: 4(x + 3) = 40

Answers

Answer:

x=7

Step-by-step explanation:

4x+12=40

-12

4x=28/4

Answer:

x =7

Step-by-step explanation:

4x + 12 = 40

4x + 12 - 12= 40 -12

4x = 28

4/4= 28/4

x= 7

Now, suppose assuming the true fraction of voters is .65, the estimated standard deviation of X is given as 6.65. Suppose you find that 115 people actually voted yes in the random sample of 200. Conduct hypothesis testing using p value approach at 5% significance level to determine the validity of Candidate A’s claim that he was at least supported by 65% of the voters. (Make sure you show the steps of hypothesis testing)

Answers

Answer:

reject H0 ; conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

Step-by-step explanation:

x = 115

n = 200

Phat = x / n = 115 / 200 = 0.575

H0 : P0 ≥ 0.65

H1 : P0 < 0.65

TEST STATISTIC :

Phat - P0 ÷ sqrt[(P0(1-P0))/n]

0.575 - 0.65 ÷ sqrt[(0.65(0.35))/200]

-0.075 ÷ 0.0337268

Test statistic -2.237

Pvalue :

P(Z < - 2.237) = 0.012643

α = 0.05

Pvalue < α

0.012643 < 0.05 ; We reject H0

We can conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

I need help subtracting integers!! THIS IS TIME SENSITIVE!!

Answers

remember that two negatives equal a positive
3 + (-8) = -5
-9 - (-4) = -5
7 - (-5) = 12
6 - (-4) = 10
and so on

the volume in cm³, of a cube of edge is 3cm is

Answers

Answer:

27 cm^3

Step-by-step explanation:

edge of cube = a = 3cm  

Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3

sorry if im wrong plz  dont report

(hope this helps can i plz have brainlist :D hehe)

"* A party rental company has chains and tables for rent. The total cost to rent 8 chairs and 3 tables is $42. The total cost to rent 2 chairs and 5 tables is $53 what is the cost to rent cach chair and each table?​

Answers

Answer: t= 10 c= 1.5

Step-by-step explanation:

question 8 thank youuu

Answers

Step-by-step explanation:

hope this help have a great day

A.2n+ 4= D
D is Dai by the way

B.
D-8 = n+8
(2n + 4)- 8 = n + 8
2n - 4 = n + 8
2n - n = 8 + 4
n = 12

Blake, Chang, and Grace together sold 71 tickets for the school banquet. Blake sold 27 tickets and Chang sold 28 tickets. How many tickets did Grace sell? (5 points) 16 43 44 55

Answers

Answer:

16

Step-by-step explanation:

because to get what you need add 27 and 28 and you get 55 then subtract 71 by 55 to get 16

71-(27+28)

Answer:

Grace sold 16 tickets.

Step-by-step explanation:

We have a total of 71 tickets sold between 3 people. Blake sold 27 tickets and Chang sold 28 tickets. Adding those sold by Blake and those sold by Chang, gives us: 27 + 28 = 55, if that amount is subtracted from the total sales that are 71 tickets, the result would be: 71 - 55 = 16, which would be the tickets sold by Grace.

Which of the following is an algebraic expression that represents the phrase X increased by 20

Answers

Answer:

The expression means that X+20

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. How many hours will she need to babysit to buy the dress

Answers

Answer:

Down below. was solved using an equation.

Step-by-step explanation:

[tex]y=40+9x\\y=112\\112=40+9x\\112-40=40+9x-40\\72=9x\\72/9=9x/9\\8=x[/tex]

She would need 8 hours of babysiting

Which shape below is the pre-image. How can you tell?

Answers

Answer:

the red one is the pre image because if there is two of the same letters then there is a dash behind the second letter.

Step-by-step explanation:

PLEASE GIVE BRAINLIEST!!!!

math police come my way please?

Answers

I think it’s a :/ I’m not for sure sorry :(
In my opinion I think the answer is a or D

Write the standard form of the equation of the line through the given point with the given slope. point (-1.0); slope -2/3​

Answers

Answer:

Step-by-step explanation:

When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)

which here becomes:

y - 0 = m(x + 1), or y = (-2/3)(x + 1), or  y = (-2/3)x - 2/3

If you want this in standard form, first clear the fractions by multiplying all terms by 3:  3y = -2x - 2

Now add 2x to both sides, obtaining:  2x + 3y = -2 (in "standard form."

Mrs. Owens borrowed $50,000 to start a business. In the first two months, expenses amounted to $52,500, and sales came to only $2,500. How much money does Mrs. Owens have going into the third month?

Answers

0
50,000 loan
+2,500 Sales= 52,500. - 52500 expenses

right trapezoid has two equal sides true or false

Answers

Answer:

True

Step-by-step explanation:

Which equation represents a linear function?

Equation 1: y = 2x2 + 1
Equation 2: y2 = 3x + 1
Equation 3: y = 5x − 1
Equation 4: y = 4x4 − 1

Equation 1
Equation 2
Equation 3
Equation 4

Answers

Equation 3 because y= Mx+ b

y = 5 (m) x + -1 (b)

Answer:

The answer is Equation 3

Step-by-step explanation:

The answer is Equation 3. I got it

right on the FLVS test

Hope this helps!

:)

PLS HELP QUICK!!

The volume V of a cylinder with radius r and height h is given by the formula V = (pi)r^2h. Solve the formula for r. Then find the radius of a cylinder with a height of 15 centimeters and a volume of 750cubic centimeters. Round to the nearest hundredth.

Answers

Answer:

4

Step-by-step explanation:

750=3.14 × r^2 ×15 you divide 750 by 3.14 then by 15, then you take the square root

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1256.00 square​ feet? Use 3.14 for pi

Answers

Answer:

20 feet

Step-by-step explanation:

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1256.00 square​ feet? Use 3.14 for pi

From the above question, we are to find the radius of the circular pattern

The formula for the Area of the circle = πr²

To find r

r² = A/π

r = √A/π

In the above question, Area = 1256 square feet

π = 3.14

r = √1256/3.14

r = √400

r = 20 feet

The radius/distance from the sprinkler that can spread water = 20 feet

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

9514 1404 393

Answer:

  B.  rectangle, not a square

Step-by-step explanation:

When you plot the points, you see the lines between them have a rise/run of 3/2 or -2/3. The product of these numbers is -1, so the sides of the figure are perpendicular (not a rhombus, not a trapezoid). The figure is not square, so is ...

  rectangle that is not a square

Please Help!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Answers

Answer:

15.57

Step-by-step explanation:

I think it is this but I am not sure

help plz i need hel-p im so stuck man im lost

Answers

Answer:

t = 50

Step-by-step explanation:

EI = EG

2t - 79 = t - 29

t - 79 = -29

t = 50

r+b=7
3.75r+2.75b=22.25

Answers

Answer:

Step-by-step explanation:

hello :

r+b=7... (*)

3.75r+2.75b=22.25.... (**)

use (*) :  r = 7 - b

put this value in (**) :

3.75(7 - b)+2.75b =  22.25

26.25 -375b +2.75b = 22.5

-375b +2.75b = 22.5 - 26.25

- b = -3.75

so : b  = 3.75

but : r = 7 - b

r = 7 - 3.75

r = 3.25

Please help I’ll mark brainliest

Answers

Answer:

-2-24i

Step-by-step explanation:

vector addition

let x be the value without the vector I

x+7+5=10

x=10-12

x=-2

let y be the value with the vector I

y-3+9+13= -5

y +19= -5

y= -24

Question 4 (1 point)
The image shows quadrilateral ABCD.
Find the area of ABCD. Explain or show your reasoning.

Answers

Answer:

25

Step-by-step explanation:

Using the Pythagorean Theorem, we can find the side length of each side.

a^2 + b^2 = c^2

=> 3^2 + 4^2 = x^2

=> 9 + 16 = x^2

=> x = 5

By applying the same formula for each side, we will get that each side is 5 units.

So, the area = 5*5 = 25

The quadrilateral is a square and the area of square is 25 square units.

What is a quadrilateral?

A quadrilateral is 2-dimensional geometric closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points.

For the given situation,

The quadrilateral ABCD has points A(0,4), B(3,0), C(7,3), D(4,7).

The distance these points can be found by

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

AB = [tex]d=\sqrt{(3-0)^{2}+(0-4)^{2} }[/tex]

⇒ [tex]AB = \sqrt{3^{2}+4^{2} }[/tex]

⇒ [tex]AB=\sqrt{9+16}[/tex]

⇒ [tex]AB=\sqrt{25}[/tex]

⇒ [tex]AB=5[/tex]

BC = [tex]d=\sqrt{(7-3)^{2}+(3-0)^{2} }[/tex]

⇒ [tex]BC=\sqrt{4^{2}+3^{2} }[/tex]

⇒ [tex]BC=5[/tex]

CD = [tex]d=\sqrt{(4-7)^{2}+(7-3)^{2} }[/tex]

⇒ [tex]CD=\sqrt{(-3)^{2} +4^{2} }[/tex]

⇒ [tex]CD=5[/tex]

DA = [tex]d=\sqrt{(4-0)^{2}+(7-4)^{2} }[/tex]

⇒ [tex]DA=\sqrt{4^{2}+3^{2} }[/tex]

⇒ [tex]DA=5[/tex]

Since AB = BC = CD = DA, the quadrilateral is a square.

The formula of area of quadrilateral is

[tex]A=(side)^{2}[/tex]

⇒ [tex]A=5^{2}[/tex]

⇒ [tex]A=25[/tex]

Hence  we can conclude that the quadrilateral is a square and the area of square is 25 square units.

Learn more about quadrilaterals here

https://brainly.com/question/16715772

#SPJ2

question is below in the screenshot

Answers

I believe the answer is b
Hope this helped

5x^2 + 2x - 7=0
thanks

Answers

Answer:

If you put the equation into go__ogle you will get an explanation on how to solve

Step-by-step explanation:

Answer:

(x-1) (5x+7)

Step-by-step explanation:

I factored using the berry method

BRAINLIEST
a. 18
b. 4.5
c. 3 sqrt of 2
d. sqrt of 14
​​

Answers

Answer:

A

Step-by-step explanation:

basically b = square root x times c

b= x

x= 2

c= 2+7 or the full length

Answer:

Step-by-step explanation:

Please help me with this question

Answers

Answer:

pt A' is (2, 4)

Step-by-step explanation:

58
Find the volume of a prism. The area of the hexagonal base is
m2. Its height is 7
tan30°
m. If necessary, round your answer to the nearest hundredth.
The volume of the prism is about
m?
please help !

Answers

Answer:

I dont think this is the right answer but 8.256

Step-by-step explanation:

Other Questions
f(x)=-2x + 3x-6, find f (3) I just got an animation software called "Blender." I have tried to search up "how to make 3D rigs" online, but nothing seems to be telling me how to make the rigs or the skins for the rigs. :(All I want to do is to learn how to animate characters (animals and humans).Can someone please help me? Which detail belongs in an essay about how to useless water in the home?O A. A dishwasher uses less water thanwashing dishes by hand.B. A dishwasher uses very hot water, whichhelps kill germs.C. Scientists found that one-third of all bottledwater is dirtier than tap water.D. Americans drink billions of gallons ofbottled water every year.SURMIT Which sequence shows a correct pathway for theflow of energy in a food chain?A) bacteria grass fox owlB) grass grasshopper frog - snakeC) fungi - beetle algae - mouseD) algae snake duck deer -6x + 12 , can somebody explain this ? Which character did you find the most interesting? Why? The Apple Tree Switch ok so Im getting banned and these cant go to waist so have fun :D A dealer buys articles for R7500 and makes the price 30% higher.What is the selling price of the articles? Pls help me guysss !!!! PLEASE HELP !!!! ILL GIVE BRAINLIEST !!! How much has the greenhouse gas carbon dioxide increased in the air just in the last few years? ITS DUE IN A FEW HOURS PLEASE HELP! PLZ HELP I ONLY HAVE A FEW MINS LEFT PLZ HELP!!!!!!What is the quotient ? 1 O 73 O 78 a) Rearrange the following formula to make x the subject.Give your answer in its simplest form.4(2x - 3y) = y + 5+ which expressionis 4 times as large as the expression 34 minus 15 (1 point) Solve the following inequality, giving your answer in interval notation.1 - x > 2 A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval?It would increase by 8%.It would decrease by 8%.It would increase, but not necessarily by 8%.It would decrease, but not necessarily by 8%. The daily cost, in dollars, to produce x gallons of handmade ice cream is C(x)=x+11 . The price-demand function, in dollars per gallon, is p(x)=0.15x+20.8Find the daily profit function.Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.Find the price to charge per gallon to maximize profit Sky High Seats manufactures seats for airplanes. The company has the capacity to produce 100,000 seats per year, but currently produces and sells 75,000 seats per year. The following information relates to the current production of the product: Sale price per unit $400 Variable costs per unit: Manufacturing $220 Marketing and administrative $50 Total fixed costs: Manufacturing $750,000 Marketing and administrative $200,000 If a special sales order is accepted for 7,000 seats at a price of $350 per unit, and fixed costs remain unchanged, how would operating income be affected Who inspired the title of A Raisin in the Sun?