Answers
The option (D) "f(x) and g(x) are closed under the addition because when added, the result will be a polynomial is correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have given two polynomials:
[tex]\rm f(x) = \rm a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
[tex]\rm g(x) = \rm b_0+b_1x+b_2x^2+b_3x^3+b_4x^4..........b_mx^m[/tex]
If we add the above two polynomials:
= f(x) + g(x)
[tex]= (\rm a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n) + (\rm \rm b_0+b_1x+b_2x^2+b_3x^3+b_4x^4..........b_mx^m)[/tex]
The above expression is also a polynomial.
Thus, the option (D) "f(x) and g(x) are closed under the addition because when added, the result will be a polynomial is correct.
Learn more about Polynomial here:
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Related Questions
PLZ HELP REALLY NEED ANSWER ILL GIVE BRAILIEST FOR CORRECT ONE
What is the surface area of the rectangular prism?
Enter your answer in the box.
in²
Answers
Answer:
A=166 in²
Step-by-step explanation:
A=2(wl+hl+hw)
A= 2(5x7+4x7+5x4)
A=2(35+28+20)
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Which equation represents a line that is perpendicular to the y-axis?
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Answer: c
Step-by-step explanation:
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suppose v varies directly as g, and v= 36 when g = 4. find v when g=11
Answers
Answer:
v = 99 when g = 11
Step-by-step explanation:
Set this up as an equation
36/4 = v/11
Cross multiply
36 × 11 = 4 × v
396 = 4v
Divide both sides by 4 to isolate variable v
396 ÷ 4 = 4v ÷ 4
99 = 1v
99 = v
PLEASE HELP THESE ARE MY ONLY POINT ;-; PLEASE
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Answer:
a) max 12000 , min 0
b) no solution
c) pricing based on profit
Step-by-step explanation:
a) look at the parabola
b) there is more than one x (0)
c) the y intercepts represent his profit based on how much he priced the items at
Write an equation of line that crosses the y- axis at -4 and has a slope 1/2
Answers
Answer:
y=1/2x-4
Step-by-step explanation:
the answer is y=1/2x-4
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Answers
Answer: 30 inches
Step-by-step explanation:
20/8 = x/12
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240 = 8x = 30
Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a 30% saline solution.
What is the total amount, in ounces, of salt in the combined mixture? Please help and please provide an explanation?
Answers
Answer:
12.5 or 12 1/2 (may be wrong)
Step-by-step explanation:
First I set up a formula to solve how many ounces of salt there were out of 30,
x/30=20/100, I crossed multiplied and got 5/30, next, I set up the same formula for how many ounces of salt there were out of 25, x/25=30/100, I got 7.5, the last thing I did was add them both together leading me to the answer 12.5 or 12 1/2. Hope this helps! Please say if I am wrong.
As a student give one reason why we need to know if our client is comfortable in our service
Answers
Answer:
you need to know if your client is comfortable in your service so that if he or she is not comfortable you correct you mistake and make he or she comfortable
Step-by-step explanation:
I need help with these answers?
Answers
Q 7 = 6
Q 8= -x + 2
Q 9= 6m + 2
Q 13= 43f × 56
Q 15= 18x
Tyler is designing a banner that will welcome people to a festival. The design for the banner has an
area of 1.5 square feet. The actual banner will be a dilation of the design by a factor of 5. What will
the area of the actual banner be?
Answers
Answer:
7.5 sq ft
Step-by-step explanation:
1.5*5=7.5
The design is 1/5 of the actual size, so you just multiply by 5 to get the real size.
Find the quotient. Express the remainder as a decimal.
Answers
Answer:
no rubdvghwcuebhc vn2egchgvsbjhcekdnax dj
Step-by-step explanation:ncvjhdrbecjfv n
which of the following can be written as the sum of 2 prime numbers
a)11
b)15
c)17
d)23
e)29
Answers
Answer:
b)15
Step-by-step explanation:
13+2=15
Hope that helps
Find the median and mean of the data. Which reflects the best measure of the center? 23, 27, 60, 154, 17, 15, 28
Answers
Answer:
Mean=16.75
Median=15.5
Mode=13
Range=16
Step-by-step explanation:
Solve the given proportion.
x/2=8/4
x=
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
bright and Ernest saved money in the ratio 3:5if Ernest saved $10 how much did bright save
Answers
Answer:
Bright saved 6 dollars.
Answer:
$6
Step-by-step explanation:
10 divide 5 is 2 so
3 multiply 2 is 6 so he saved 6 dollars
Combine these things :/ 5 Times Sqrt 27 - 17 Times Sqrt 3
Please explain and thank you :P
Answers
Answer:
[tex]-2 \sqrt{3}[/tex]
Step-by-step explanation:
Given
[tex]5 * \sqrt{27} - 17 * \sqrt{3}[/tex]
Required
Combine both
[tex]5 * \sqrt{27} - 17 * \sqrt{3}[/tex]
Express 27 as 9 * 3
[tex]5 * \sqrt{9 * 3} - 17 * \sqrt{3}[/tex]
Split:
[tex]5 * \sqrt{9} * \sqrt{3} - 17 * \sqrt{3}[/tex]
[tex]5 * 3 * \sqrt{3} - 17 * \sqrt{3}[/tex]
[tex]15 * \sqrt{3} - 17 * \sqrt{3}[/tex]
[tex]15 \sqrt{3} - 17 \sqrt{3}[/tex]
[tex]-2 \sqrt{3}[/tex]
Can you plz help me plz
Answers
How do I go about solving this?
Answers
Answer:
you want to bring down the numbers.. so try 3 for the second one
Step-by-step explanation:
HELP PLSS- okok so i need the answer to this, please help :(
Answers
Answer:
second
Step-by-step explanation
-5/12 because -2/3 + 1/4 = -5/12
Answer:
2nd one
Step-by-step explanation:
Which of the following is equal to the expression listed below?
(18 × 24) - (18 × 9)
a.(24 - 18) × (18 - 9)
b.24 × (18 - 9)
c.18 × (24 - 9)
d.18 - (24 × 9)
Answers
Answer:
C
Step-by-step explanation:
good luck. hope this helps
What is the inverse equation for f(x)=x+6
Answers
Answer:
y^-1 = x - 6
Step-by-step explanation:
change f(x) to 'y'
switch 'x' and 'y'
solve for 'y'
Answer:
Step-by-step explanation:
y = x + 6
x = y + 6
y + 6 = x
y = x - 6
f^-1(x) = x - 6
how do movement skills in volleyball transfer to tennis?
Answers
Answer:
Tennis – It's not difficult to see that tennis and volleyball have their similarity; both involve hitting a ball over the net in the hope that the opponent won't be able to return it. Much like tennis, volleyball requires short and explosive movements and cat-like reflexes, rather than long runs down a pitch.
(Need help)
If there are 150 people born in the world every minute; how
many are born every Hour? Day? Year?
Answers
Step-by-step explanation:
150 x 60 = 9,000 every hour
9000 x 24 = 216,000 every day
216000x 365 = 78,840,000 every year
Answer:
Hour: 9,000 people
Day: 216,000 people
Year: 78,840,000 people
Step-by-step explanation:
In order to solve this, you need to identify how many minutes there are in an hour, a day, and a year:
Hour: 60 minutes
Day: 60 minutes × 24 hours = 1,440 minutes
Year: 60 minutes × 24 hours × 365 days = 525,600 minutes
Now, you need to multiply each of these numbers by 150 to find how many people are born every hour, day, and year:
Hour: 60 minutes × 150 people = 9,000 people
Day: 1,440 minutes × 150 people = 216,000 people
Year: 525,600 minutes × 150 people = 78,840,000 people
WILL GIVE BRAINLEST !
hAVE A GOOD DAy :)!
Answers
Answer:
1, 2 * 3^3 * 17
2, 8
Step-by-step explanation:
64 is perfect sqr root 8*8 = 64
I need help and please give me an understandable answer because I need to go to bed right now. I used 31 and 40 feet and none of them worked
Answers
Answer:
35 feet
Step-by-step explanation:
We'll begin by calculating the resultant for you and your friend.
For you:
R² = 12² + 9²
R² = 144 + 81
R² = 225
Take the square root of both side
R = √225
R = 15 feet
For your friend:
R² = 16² + 12²
R² = 256 + 144
R² = 400
Take the square root of both side
R = √400
R = 20 feet
Finally, we shall determine the distance between you and your friend.
The distance between you and your friend is obtained by adding your resultant and that of your friend together i.e
You resultant = 15 feet
Your friend's resultant = 20 feet
Distance between you and your friend = 15 + 20 = 35 feet.
Therefore, you threw the baseball 35 feet away from your friend.
Find value of x
Find value of y
Answers
Answer:
Step-by-step explanation:
use SOH CAH TOA
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
then we know the adjacent side and the angle, and want to find the Hyp, so use CAH
Cos(60) = ( 8[tex]\sqrt{3}[/tex] / 3 ) / Hyp ( cos(60) = 1/2 )
Hyp = (8[tex]\sqrt{3}[/tex] / 3) / (1/2)
Hyp = 2 ((8[tex]\sqrt{3}[/tex] / 3)
Hyp = 16[tex]\sqrt{3}[/tex] / 3
x = 16[tex]\sqrt{3}[/tex] / 3
Now use SOH
Sin (60) = Opp / 16[tex]\sqrt{3}[/tex] / 3 ( sin(60) = [tex]\sqrt{3}[/tex]/2 )
(16[tex]\sqrt{3}[/tex] / 3)([tex]\sqrt{3}[/tex]/2) = Opp
16 * 3 / 6 = Opp
8 = Opp
y = 8
:)
A salesman earns 3% commission for everything he sells. Yesterday, he sold a large screen television for $2,400 and a video game system for $500. How much money did the salesperson make on commission?
Answers
500 x 0.03 = $15
Total commission = $87
i need help on this question for my math homework:))) please help!
Answers
The angle are supplementary find the missing angle measure
I give you brainiest if you answer correct
Answers
Answer:
12. 50
13.41
Step-by-step explanation:
To find the supplement, subtract the number from 180. For instance for 13. Do 180-139 to find the supplement.
Relation between an event and a second event, where the second event is understood as a consequence of the first. which one
Group of answer choices
Exponential Growth
Rate of Change
Causation
Correlation
2. The value the item has changed to. Also known as the finished value (after).
Group of answer choices
Rate of Change
New Value
Skewed Distributions
Original Value
Answers
Answer:new value
Step-by-step explanation: