We have that 3 * f(x) + 4 * g(x) = h(x) where f(x), g(x), and h(x) are all polynomials in x. If the degree of f(x) is 8 and the degree of h(x) is 9, then what is the minimum possible degree of g(x)?

Answers

Answer 1

9514 1404 393

Answer:

  9

Step-by-step explanation:

Adding polynomials causes like terms to be combined. The sum cannot have a degree higher than the degree of any of the terms in the sum. If the degree of f(x) is 8, then the degree of g(x) must be 9 in order for the sum to be of degree 9.


Related Questions

A store sells two kinds of candles,scented candles and unscented candles. The candles burn at different rates which kind of candle burns more in one hour? How much more per hour? The scented one burns 1/8inch an hour 1/4 hour and the unscented one burns 1/9 inch in 1/3 hour. SHOW WORK!!!!

Answers

Step-by-step explanation:

The first thing we must observe is that the hourly rate for each candle is:

scented candles:

(1/12) / (20/60)

Simplifying:

= (1/12) / (10/30)

= (1/12) / (5/15)

= (1/12) / (1/3)

= (3/12)

= (1/4) inches / hour

Unscented candles:

(1/6) / (30/60)

Simplifying:

= (1/6) / (15/30)

= (1/6) / (3/6)

= (1/6) / (1/2)

= (2/6)

= (1/3) inches / hour

Answer:

The unscented candles burn faster at a rate of:

(1/3) inches / hour.

Answer:

You look at the numbers

Step-by-step explanation:

1/8inch per hour

What is the slope of the line?

Answers

Answer:

The slope is 2/1

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First thing you should notice first is that the line is going up to the left, that means that the slope will be negetave. Then, follow the rise over run method. Start at any point on the line, im going to use (0,1). go up 2 and over 1. You get -2/1 aka -2. I hope this helps!

Complete the table to show the amounts of yellow and red paint needed for different-sized batches of the same shade of orange paint. (3, 4, and 5 batches) Show your work on the space provided.

Having a little trouble with the chart

Answers

Answer:

10:12

15:18

20:24

25:30

Step-by-step explanation:

you could just multiply 5 and 6 by the same number so you would get ratios that are equal to each other so for example for 10:12 5 and 6 is getting multiplied by 2

PLS HELP DUE SOON!! (retest) will give brainliest <3

Answers

The answer is A
Hopefully it will be correct

Carter pushes a bag full of basketball jerseys across the gym floor. Then he pushes with a constant force of 21 newtons. If he pushes the bag 9 meters in 3 seconds, how much power does he use? (Hint: 1 watt = 1 .)

Answers

Answer:

Carter needs a power equal to 63 W to be able to push the bag full of Jersey. This is by using the formula: Power is equal to the product of Force applied and Displacement all over time traveled.

Answer:

he had pushed in 24 and the 33

Step-by-step explanation:

5x+3y=18 and 3x-3y=15 solve for y and x using elimination method

Answers

Answer:

x = 4.125 or [tex]4\frac{1}{8}[/tex]

y = -0.875 or [tex]-\frac{7}{8}[/tex]

Step-by-step explanation:

5x + 3y = 18

3x - 3y = 15

3y and -3y can be cancled out becuase + and - cancel out and they both have 3y in them. We don't have to switch any signs in this case. You can just add them all exept 3y and -3y becuase they will be canceled out.

8x = 33

x = 4.125

Now we know what x is. We need to figure out what y is now. To figure out y chose an equation from the problem and plug in the x value. Lets chose 3x - 3y = 15.

3(4.125) - 3y = 15

12.375 - 3y = 15

-3y = 2.625

y = -0.875

Now we know what y is.  I hope this helps :)

translate the following questions and solve afterward
the sum of twice a number and 19 is -23
the quotient of a number and -5 decreased by 9 is 2
fourteen subtracted from the product of a number is -3 is 25

Answers

2x+19=23
x(divided by) -5-9=2

James ate 150 gummy bears last week. This week he plans on increasing the number of gummy bears he eats to 180 . What is the percentage increase in his gummy bear consumption?

A) 17%
B) 20%
C) 50%
D) 30%
E) 75%

Answers

B) 20% is the correct answer
20%, Have a blessed night!

Here brainliest look arE the picture

Answers

Answer:

12p = 48

3rd option

Step-by-step explanation:

total photos =48

pages on website = 12

photos on each page = p

then,

p =48/12

that is

12p =48

Evaluate the expression below at x = 3.


A.

B.

C.

D.

Answers

Answer:

45

Step-by-step explanation:

The Answer will be 45

If you can guess what year, month and day i was born i will give you briliantst

Answers

You were probably born March 26, 2008

Answer:

2007 December 4th

Step-by-step explanation:

Two parallel lines, a and b, are cut by transversal p. What is the measure of triangle x​

Answers

Answer:

b will be the right answer

I am sure

Answer:

75

Step-by-step explanation:

Estimate how many times larger 6.1×10^7 is than 2.1×10^−4. PLEASE WILL GIVE BRAINLIEST!!!!!! cmon plsssss

Answers

The answer is 2904. Enjoy

Will mark Brainlist!

Answers

Answer:

4,880

Step-by-step explanation:

33.2% x 14,700 = 4880 employes

Answer:

4,880

Step-by-step explanation:

33.2% x 14,700 = 4880 employees

help again. thanks again for helping me. also take ur time.

Answers

Answer:

2

Step-by-step explanation:

-10*7.5+115=p

115-75=p

p=40

The answer is B. No, there will be 40 papers left to grade.

The Suarez family paid $15.75 for 3 movie tickets. How much would they have paid for 12 tickets?

Answers

Answer:

$63

Step-by-step explanation:

15.75 / 3 = 5.25

5.25 is what each ticket was worth

5.25 * 12 = 63

Answer:

$63

Step-by-step explanation:

15.75 divided by 3 = 5.25 then 12 * $5.25 = $63

Hope this helps! :>

Please Help Me i will Give Brainliest

Answers

Answer:

C 2/3

Step-by-step explanation:

Brandon came home from school and informed his mother that he had volunteered to make cookies for his entire grade level.He needs 3 cookies for each of the 36 students in seventh grade. Unfortunately, he needs the cookies the very next day! Brandon and his mother determined that they can fit 96 cookies on two cookie shIs the number of cookies proportional to the number of cookie sheets used in baking?
Create a table that shows data for the number of sheets needed for the total number of cookies baked.

Number of pans
Number of cookies


2
36


4
72


10
180


16
288


The unit rate of x/y is __________.
Constant of Proportionality:_______.
Explain the meaning of the constant of proportionality in this problem?

Two pounds of peaches cost $4.50, 5 pounds cost $11.25, and 10 pounds cost $22.50. Show that the relationship between the number of pounds of peaches and the cost is a proportional relationship.


Y Cost
$4.50






X pounds
2







k=y/x Write an equation where y is the cost and x is the number of pounds.

Answers

Answer:

72

Step-by-step explanation:

1 is the answer!!!!!!!! Yes

SOMEONE PLEASE HELP !!

Answers

Answer: ITS C

Step-by-step explanation:

pls help me with this

Answers

Answer:

100

Step-by-step explanation:

Answer is 100 and I’m just saying this because the other guy said it lol

simplify 4 to the square root of 3 ÷ 5 to the square root of 3

Answers

Answer:

(4)/(\sqrt(3))

Step-by-step explanation:

stay off if you dont know and if you cant show work.. Which expression represents the difference (6b+9)−(7b−4)? show your work.

Answers

Answer:

-b + 13

Step-by-step explanation:

(6b + 9) - (7b - 4)

to get -b you have to subtract 6 by 7

to get 13 you add 9 and 4

b/5 = 8/16

(character limit)

Answers

b is 2.5 because b/5 should be 1/2, 2b is 5, 5/2 is 2.5
2.5 i believe
16/8=2 so then 5/2=2.5

how would you solve -5(x - 1) = 40

Answers

you would distribute the -5 to the x and the -1, so it would be:
-5x+5=40
you would then subtract 5 from both sides, so you would get:
-5x=35
you would then divide by -5 on both sides, so you would get:
x=-7

Answer:

x = -7

Step-by-step explanation:

Apply the distributed property: -5x - -5 = 40Simplify: -5x + 5 = 40Subtract 5 from each side, so it now looks like this: -5x = 35Divide each side by -5 to cancel out the -5 next to x. It should now look like this: x = -7

I hope this helps!

if you reflect any shape across the x-axis and then rotate it 90 degrees clockwise about the origin, do you get the same results as if you reflect it across the y-axis and then rotate it 90 degress counterclockwise about the origin? what does this mean?

Answers

Yes, a shape can be reflected across the x-axis and then rotated 90 degrees in a clockwise direction around the origin to achieve the same results as a shape reflected across the y-axis and rotated in a counterclockwise direction. This implies that these two transformational sequences are similar.

What is reflection in Mathematics?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

To know more about reflection refer to :

https://brainly.com/question/26494295

#SPJ2

PLEASE HELP A GIRL OUT!!

Answers

Answer:

C

Step-by-step explanation:

It is C because the question asks for 1/4th of the wholw angle =45 degrees

hope this helps

Answer:

I think its c

Step-by-step explanation:

Need help please 15 points

Answers

Answer:

Paula's tub filled much more faster becasue it has less water to fill up

Step-by-step explanation:

what is 2x – 4 = 2? Please answer soon!

(15 points and brainlyist to first person who answers!!!!)

Answers

add 4 to the right side of the equation to get sex then divide that by 2X and you get 3

Answer:

x = 3

Step-by-step explanation:

2(3) - 4 = 2

what is 43,6480 x 34,4608 =

Answers

Answer:

The answer is 1504.1449984 , hope this helps :)

Answer:

436,480 multiplied by 344,608 is 150,414,499,840.

Step-by-step explanation:

hope this helped (:

need help asap!! please n ty...

Question 1(Multiple Choice Worth 4 points)
(02.01)The figure shows a pair of parallel line segments on a coordinate grid:



The line segments are translated 2 units to the left to form J'K' and M'N'. Which statement describes J'K' and M'N'?


A) Line segments J'K' and M'N' do not intersect and are closer together than JK and MN.
B) Line segments J'K' and M'N' intersect at (−2, 0) and are two times farther apart than JK and MN.
C) Line segments J'K' and M'N' intersect at (0, −2) and are two times closer together than JK and MN.
D) Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.

Answers

A is your answer sir/mam
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