Find the values of R, P, and Q that make the polynomial addition problem true. Write your answer in this order: R, P, Q. \left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7 (12x 5 +Rx 4 +Px 2 −5)+(−6x 5 −4x 4 +13x+Q)=6x 5 +3x 4 +9x 2 +13x+7

Answers

Answer 1

Given:

[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]

To find:

The values of R, P and Q.

Solution:

We have,

[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]

On combining like terms, we get

[tex](12x^5-6x^5)+(Rx^4-4x^4)+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]

[tex]6x^5+(R-4)x^4+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]

On comparing the coefficients of [tex]x^4[/tex], we get

[tex]R-4=3[/tex]

[tex]R=3+4[/tex]

[tex]R=7[/tex]

On comparing the coefficients of [tex]x^2[/tex], we get

[tex]P=9[/tex]

on comparing the constants, we get

[tex]Q-5=7[/tex]

[tex]Q=7+5[/tex]

[tex]Q=12[/tex]

Therefore, [tex]R=7,P=9[/tex] and [tex]Q=12[/tex].


Related Questions

Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.

Answers

Answer:

y=4, y =16, x=10, x=15

Step-by-step explanation:

Plug the x values in the x place and then solve from there and for y values plug em in and easy answer

Can you explain pls

Answers

Answer:

d

Step-by-step explanation:

If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.

Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is ​

Answers

Given:

Four years ago average age of A , B & C was 25 years.

Find:

A's present age

Solution:

Let the ages of A , B , C be A , B , C years.

Age of A before 4 years = (A - 4) years. Age of B before 4 years = (B - 4) years. Age of C before 4 years = (C - 4) years.

We know that,

Average = Sum of observations/Number of observations.

Here,

Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.

Number of observations = 3.

So, (A + B + C - 12)/3 = 25

⟹ A + B + C - 12 = 3 * 25

⟹ A + B + C = 75 + 12

⟹ A + B + C = 87 -- equation (1)

Also given that,

Average age of B & C before 5 years was 20 years.

⟹ (B - 5 + C - 5)/2 = 20

⟹ B + C - 10 = 2 * 20

⟹ B + C = 40 + 10

⟹ B + C = 50 -- equation (2)

Subtract equation (2) from equation (1).

⟹ A + B + C - (B + C) = 87 - 50

⟹ A + B + C - B - C = 37

⟹ A = 37 years

∴ A's present age is 37 years.

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?

Answers

Answer:

Number of students in each group = 8

Step-by-step explanation:

kevin and monica led the same number of vistors.

Let x = number of students in each group

Kevin lead 150 adults, plus 6 student groups.

150 + 6x

Monica led 134 adults, plus 8 student groups.

134 + 8x

Equate both equations

150 + 6x = 134 + 8x

Collect like terms

150 - 134 = 8x - 6x

16 = 2x

Divide both sides by 2

x = 16 / 2

= 8

x = 8

Number of students in each group = 8

2 1/7+3/7(3x−5)=−4
A) x= -5 1/7

B) x= -3 1/9

C) x= -1 23/49
D) x= - 8/9

Answers

The answer fam is...........B) x= -3 1/9

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .

Answers

*See attachment for the given diagram.

Answer:

∆ABC and ∆FDE are congruent by the SSS criterion.

The value of x is 11 and the value of y is 8

Step-by-step explanation:

Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.

Thus:

AB ≅ DF

BC ≅ DE

CA ≅ FE

Find x:

Since BC ≅ DE, therefore measure of BC = measure of DE.

BC = x + 3

DE = 14

Thus,

x + 3 = 14

Subtract 3 from each side

x = 14 - 3

x = 11

Find y:

Since AB ≅ DF, therefore the measure of both sides are equal.

AB = 3

DF = x - y

Thus,

x - y = 3

Substitute x = 11 into the equation

11 - y = 3

Subtract 11 from both sides

-y = 3 - 11

-y = -8

Divide both sides by -1

y = -8/-1

y = 8

Answer:

Below

Step-by-step explanation:

got it right

what is the area of a semicircle with a diameter of 12.5 ft

Answers

radius = 12.5/2 = 6.25 feet

area = [tex]\frac{1}{2} \pi r^{2} = \frac{1}{2}\pi (39.0625) = 19.5312\pi[/tex] square feet

how do I do slope? i know nothing about it and i need to learn it.

Answers

Answer:

slope is easy it is rise over run.

Step-by-step explanation:

rise/run

rise means up

run means move sideways.

Answer: what do you mean by slope?

Step-by-step explanation:

the game that you have to control a ball and you have power-ups and you have to stay on platforms and you have to avoid the red rectangles?

The perimeter of a rectangle is 70cm. If the length of the rectangle is 5cm more than its breadth, find the dimensions of the rectangle.

Plsss help I put 15 points

Answers

Hope it helps man .....

The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.

Answers

Answer:

$8.31

Step-by-step explanation:

you have your budget of $349.02 that's for 42 trees you are deciding tour budget by 42 giving you $8.31 per tree.

HELP PLEASE THIS IS DUE IN FIVE MINUTES

Answers

Answer: 0, 50

Step-by-step explanation: (h=0), 0=2t+100

2t=100

t=50

hopefully this helps

Answer: 0, 50
Explanation:

Rhombus ABCD with vertices A(2, 6), B(6, 7),
C(5, 3), and D(1, 2): 180°

Answers

Answer:

Step-by-step explanation:

Rule for the rotation of a point 180° about the origin is,

(x, y) → (-x, -y)

Therefore, images of the points after the rotation of 180° will be,

A(2, 6) → A'(-2, -6)

B(6, 7) → B'(-6, -7)

C(5, 3) → C'(-5, -3)

D(1, 2) → D'(-1, -2)

Now we can plot these points on the graph as attached.

What are the y-intercepts to graph the equation -4x – 3y = 36?

Answers

4x-3y =36

Move the constant to the left by adding its opposite to both sides

4x-3y-36=36-36

The sum of two opposites equals 0

Answer: 4x-3y-36=0

PLEASE MARK ME AS BRAINLIEST

Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?

Answers

Answer:

No it cant

Step-by-step explanation:

(3,-1) is not a possible solution for the equation y > 2x-3

The points that touch the x and y intercept are (1.5,0) and (0,-3)

Ayden filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every hour driven, and after driving for 4 hours, there were 4 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Ayden's gas tank after tt hours of driving.

Answers

Answer:

G=-2t=12

Step-by-step explanation:

uh well i did delta thats was the answer they gave me...

Total capacity: 12 gallons

Equation: G = 12 - R*t

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let R be rate of gas consumption by car = 2 gallons/hr

Let G be the gallons in the car left

let g be the gallons used by the car while driving

Driven time, t = 4 hrs

Remaining gas =4 gallons

according to the question,

consumption rate, R = g/t

After driving for 4 hours

2 = g/4

g = 2*4 = 8 gallons

remaining gas = 4 gallons

therefore, total capacity of the car = 8 + 4 = 12 gallons

equation in terms of gas left,

G = 12 - R*t

Read more about mathematical expression here :

https://brainly.in/question/26994041

#SPJ2

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!

Answers

Answer:

19.04

Step-by-step explanation:

convert 170% into decimal form number:

1.7

Then multiply by 11.2:

1.7 × 11.2 = 19.04

Pls consider marking my answer as Brainliest! It would mean a lot!

A chef earns $27 per year. She is paid every 2 weeks.
These are 26 pay periods per week?

How much does the chef
earns pay period.

Round to the neared cent

Answers

Answer:

1

Step-by-step explanation:

27 divided by 26.

please help me!! :)​

Answers

Answer:

1/2

Step-by-step explanation:

hope this helps :o

Can you help me to solve this​

Answers

Answer:

[tex]\frac{4a-2}{2a+1}[/tex]

Step-by-step explanation:

Factorise the numerator and denominator

8a² - 2 ← factor out 2 from each term

= 2(4a² - 1) ← 4a² - 1 is a difference of squares

= 2(2a - 1)(2a + 1)

4a² + 4a + 1 ← is a perfect square

= (2a + 1)²

Thus

[tex]\frac{8a^2-2}{4a^2+4a+1}[/tex]

= [tex]\frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)}[/tex] ← cancel (2a + 1) on numerator/ denominator

= [tex]\frac{2(2a-1)}{2a+1}[/tex]

= [tex]\frac{4a-2}{2a+1}[/tex]

Answer: 4a-2/2a+1
Explanation: first factor out the expression. Second cancel out

20 POINTS!!!! Help please

Answers

Answer:its c

Step-by-step explanation:

HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
What is the type of angle 12 and 6 form? and what is their relationship?

Answers

Answer:

Alternate angles

Step-by-step explanation:

Alternates angles are in a form of Z so the relationship between angle 12 and 6 are alternate angles.

NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!!!!!!!!
I NEED HELP ON ALL THREE PLEASE!!!!

Answers

Answer:

16. H

17. C

18. G

answer number 1 or 2 or both please<3

Answers

Answer:

1. 1.96 g/L

2. 1 g/cm³

Step-by-step explanation:

Density is found by dividing mass by volume: d = m/v.

1.

We know that the mass is 0.196 grams, while the volume is 100 mL.

Converting the volume to liters, we get:

100 mL = 0.1 L

Then, applying our density formula:

d = m/v

d = 0.196 g / 0.1 L = 1.96 g/L

2.

Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.

The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.

Applying our density formula gives:

d = m/v

d = 27 g / 27 cm³ = 1 g/cm³

~ an aesthetics lover

A system of equations and its solution are given below system

System A
Solution: (-2,1)

To get system B below, the second equation in a system A was replaced by sum of that equation and the first equation in system A mutiplied by -2.

System B
5x - y = -11

A) The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.

B) The second equation in system B is 7x = 30. the solution to system B will not be the same as the solution to system A.

C) The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.

D) The second equation in the system B is -7x = 14. The solution to system B will not be the same as the solution to system A.

Answers

It is b and I hope you have a wonderful day

The area of a rectangular painting is 5734cm^2
If the length of the painting is 94cm , what is its width?

Answers

Answer: 61cm

Step-by-step explanation:

So to work out this question you do 5734÷94 which would work out the with which is 61

61×94=5734

sashi weaves 25 baskets in 35 days how many days will it take for her to weave 110 baskets pls tell with steps

Answers

Answer:

Step-by-step explanation:

If Sashi weaves 25 baskets in 35 days, let's find out how long it takes her to weave 1 basket.

25 baskets = 35 days

To find how long one basket takes, divide 35 by 25

1 basket = 35/25 = 1.4 days

Next to find how many days it takes for her to weave 110, you just multiply by 110 since we know it takes her 1.4 days to weave 1 basket.

110 baskets = 1.4 times 110 = 154 days.

Please select the word from the list that best fits the definition

comes from a specific place

Answers

Point-source pollution, I took the test.

Answer:

Point-source pollution

Step-by-step explanation:

2( y+2) = 6x-7
please help​

Answers

Answer:

2y + 4 = 6x - 7

2y = 6x - 11

2y + 6x = -11

Answer:

2y+4=6x-7

take 4 from both sides

2y=6x-3

divide each side by 2

y=6x-3

What is 2+2? I think the answer is 6 :)

Answers

Answer: wut yea i think it's six too.

The answer is 4 because look at this: ♥ ♥

That's 2 hearts

If you add 2 more:

♥ ♥ ♥ ♥

1  2  3  4 --> 4 hearts!

♥ ♥ + ♥ ♥ = ♥ ♥ ♥ ♥

So, 2 + 2 = 4.

Ok :

5/8x + 1/3x = 69 x=_

Answers

Answer:

Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R

Step-by-step explanation:

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