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

Which rule describes the transformation?

Answers

I think its (x,y-(-x,-y)

Geometry Question: Image is provided below.

Please show all work and your steps.

25 points

Answers

We know that the angle above 10x + 54 must be 8x because of Alternate angles. And we also know that angles in a straight line add up to 180. So we can infer that 10x + 54 + 8x = 180
We can simplify that into 18x + 54 = 180
Now we take away 54 from both sides to get 18x = 126
Now divide both sides by 18 and we get
x = 7.
Now that we know that x = 7 we know that the 10x + 54 angle is equal to 124 by substituting the value of x in. We also know that 11y + 14 must equal to 124 because of vertically opposite angles. So we have 11y + 14 = 124.

Take away 14 from both sides; 11y = 110
Now divide both sides by 11 and we get
y = 10

So x = 7 and y = 10
I hope that you understood all of my steps and if this did help you a Brainliest would be very appreciated :)

Answer:

x=7

y=10

Step-by-step explanation:

8x and 11y+14 are same side interior angles so they add to 180 degrees

11y+14 and 10x+54 are vertical angles so they are equal

8x + 11y+14 = 180

11y+ 14 = 10x+54

Substitute 10x+54 for 11y+14 in the first equation

8x +10x+54 = 180

Combine like terms

18x+54 =180

Subtract 54

18x+54-54=180-54

18x =126

Divide by 18

18x/18 = 126/18

x=7

Now we can find  y

11y+ 14 = 10x+54

11y + 14 = 10*7+54

11y+14 = 70+54

11y+14 =124

Subtract 14 from each side

11y = 124-14

11y =110

Divide by 11

11y/11=110/11

y =10

The value of -4 - x is positive. What must be true about x ?
i need help with this asap

Answers

Answer:

x must be less than -4

Step-by-step explanation:

We need to set the equation equal to 0

-4 - x > 0

+ -4   +   -4

x < - 4

The ratio of adult cats to kittens at a pet care center on was 5:2 . There were 12 kittens there that day. Thursday ​, 38 adult cats were at the pet care center. What is the difference between the number of adult cats at the pet care center on thursday and monday?

Answers

Answer:

8 adult cats

Step-by-step explanation:

The ratio of adult cats to kitten at the pet care center was 5:2

No of adult cats= 5x

No of kitten cats= 2x

Since there were 12 kittens that day

2x= 12

x= 12/2

x= 6

Number of adult cats = 5x

= 5 × 6

= 30 adult cats

Therefore since there were 38 adult cats in the pet center in Thursday then the difference between the number of adult cats in Thursday and Monday can be calculated as follows

= 38-30

= 8 adult cats

how do i put 5x^2+6+3xy^5-2x in standard form

Answers

Answer:

it's 3xy^5 + 5x^2 -2x +6

Noah’s dog weighs 15 1⁄3 pounds (lbs). Aiden’s dog weighs three times as much as Noah’s. How many pounds does Aiden’s dog weigh?

Answers

Answer:  46 pounds

===============================================

Work Shown:

N = weight of Noah's dog = 15 & 1/3 pounds

A = weight of Aiden's dog = unknown

A = 3*N

A = 3*(15 & 1/3)

A = 3*(15 + 1/3)

A = 3*15 + 3*(1/3) .... distribute

A = 45 + 1

A = 46

Aiden's dog weighs 46 pounds.

A local mechanic charges customers a flat fee of $60 before any work is done in the rate of 85 per hour for labor which equation represents the relationship between the total charge for labor L in dollars and the number of hours worked h?

Answers

Answer:

im not sure but here u go 85x+60

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

Which sequence of transformations will result in a parallelogram with vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) being carried onto the parallelogram A'B'C'D' shown below?

Answers

Answer:

translated  1 unit right and 2 units up followed by a reflection across x axis

Step-by-step explanation:

Parallelogram has vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) while parallelogram A'B'C'D' has vertices A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)

Transformation is the movement of a point from its initial location to  new location. If an object is transformed then all its points are transformed. Types of transformation are rotation, reflection, dilation and translation.

If a point X(x, y) is translated a units right and b unit up , the new point is X'(x + a, y + b).

If a point X(x, y) is reflected across the x axis, the new point is X'(x, -y)

If parallelogram ABCD is translated  1 unit right and 2 units up (i.e. x + 1, y + 2), the new points is A*(-1, 3), B*(-3, -1), C*(3, -3), D*(5, -1). If a reflection across x axis is then done, the new point is A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)

Answer:

A translation 1 unit right and 2 units up followed by a reflection across the x-axis.

Step-by-step explanation:

Because you slid the shape over.

Hope this helps! Stay safe! :))))

Find the x - and y - intercepts of the graph of the linear equation-4x+8y=-16

Answers

Answer:

y-intercept: (0, -2)

x-intercept: (4, 0)

Step-by-step explanation:

The x intercept occurs when y = 0, so you can substitute 0 in for y and solve for x as shown:

-4x+8y=-16

-4x+8(0)=-16

-4x+0=-16

-4x=-16

x=4 ---------- format correctly in (x, y) : (4, 0)

The y intercept occurs when x = 0, so you can substitute 0 in for x and solve for y as shown:

-4x+8y=-16

-4(0)+8y=-16

0+8y=-16

8y=-16

y=-2 ---------- format correctly in (x, y) : (0, -2)

what is the translation of the expression 5 more than twice x

Answers

Answer:

5+2x

Step-by-step explanation:

Answer:

5 + 2x

Step-by-step explanation:

HELP ME PLS one bottle of shampoo costs 6 dollars for 8 Oz a second bottle costs 4 dollars for 5oz of shampoo wich has a lower unit rate and how much lower

Answers

Answer:

The 8 oz has lower unit rate, it's lower by .2.

Step-by-step explanation:

8 oz divided by $6 = $1.333 for 1 oz  ---- (round to 1.3)

6 oz divided by $4 = $1.5 for 1 oz

How do I solve |x-1|-1.4 = 6.2

Answers

Answer:

x1= -6.6   x2= 8.6

Step-by-step explanation:

Answer:

x1= -6.6, x2= 8.6

Step-by-step explanation:

|x-1|-1.4=6.2

|x-1|=6.2+1.4

|x-1|= 7.6

x-1=7.6 or x-1= -7.6

x= 8.6 and x= -6.6

Janelle would like to give a party bag to every person who is coming to her party. The cost of the party bag is $7 per person. Write an inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags.

Answers

Answer: Inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags: 7P  ≤  95  

Step-by-step explanation:

Given: The cost of the party bag is $7 per person.

P represents the number of people that she can invite.

Total cost for P people = ( cost per person) x (P)

=$ 7P   (i)

If  Janelle has No more than $95 dollars to spend on the party bags.

That means , Total cost ≤ $ 95

From (i)

7P  ≤  95   , which is the required inequality.

a little boy gets a haircut.the total cost is $24 and the tip should be 10% how much should the barber get as a tip?

Answers

Answer:

2.40$ or 2.4$

Step-by-step explanation:

divide 24 and 10 and you should get the answer of 2.40$ or 2.4$

What is 13 / 143 as a unit fraction

Answers

Answer:1/11

Just got it using some brain cells >:)

Answer:

1/11

Step-by-step explanation:

13/143=1/11

A submarine dives below the surface, heading downward in four moves. If each move downward was 235
feet, where is the submarine after it is finished diving?
The submarine would be
feet below sea level, or
feet.

Answers

Answer:

Step-by-step explanation:

It drops 235 feet per move.

235 * 4 = 1140 feet below sea level.

-1140 is also possible.

Please help i’m having a hard time answering it

Answers

So we know 5ft to 1cm then
4x5=20ft
6x5=30ft

10points!
will make brainliest for correct answer
-8 1/3 + (- 1/6)

Answers

Answer:

-8 1/2

Step-by-step explanation:

-8 1/3 + (- 1/6)

Get a common denominator

-8 2/6 - 1/6

Combine terms

-8 3/6

Simplify

-8 1/2

How do I solve this?(tangent segment)

Answers

Answer:

x = 6

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the measures of the external part and the entire secant, that is

x² = 4(4 + 5) = 4 × 9 = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Write the equation of a line that passes through the point (3, 4) and has a slope of -1

Answers

Answer:

[tex]Y = -1x + 4[/tex]

Step-by-step explanation:

Hope this helps

no fake answers please easy question You are solving systems of equations by graphing and you get the following graph shown below? What is the solution to this system? How do we know what the solution of a system is when graphing?

(4 sentences at least_

Answers

Answer:

Hi There! There are no solutions to this system.

Step-by-step explanation:

nd When graphing a set of equations, make sure that the slopes are not equivlient. If the slopes are equivlient, the lines are parallel, and parallel lines do not intersect. You can check the slope of the equations to find if they are equal. Both graphs go down by 3 each time they go over 2, making the slope -3/2. If they have the same slope, but a diffrent Y interset, they are parallel.   You can also set the equations equal to  each other, and when solving find that 7 does not equal 1, or

-3/2X+7=-3/2X+1

+3/2X

7=1

Because this is false, the lines will not intersect.  

What is the volume of the cylinder below

Answers

Answer:

I think d or b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

please help im struggling really bad on this one question.

Answers

Answer:

B

Step-by-step explanation:

90 degrees means 1/4 of 360 degrees. If you think about it like a clock it would be at 3:00. B is the representation of that

Answer:

B

Is going clock wise I dont really know how to explain it

Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest?
Total Interest = $


What is Tarah's new total balance?

New Balance Total = $

Answers

Answer:  

Total interest = $28.72

New balance = $ 387.72

Explanation: Tarah has $359 in the bank. To find the amount of interest, multiply 359 by .08.

She gets $28.72 interest annually.

In one year, she will make $387.72.  (Add the total interest to her original balance)

Plz mark brainliest:)

ASAP!!! PlEASE !!!!!!!!!

Answers

Answer:

100 yards cubed

Answer: 100

Step-by-step explanation:

multiply them all together

Neptune is 2,798,842,000 miles from the sun. How many hours does it take lightto travel from the sun to Neptune?

Answers

9514 1404 393

Answer:

  4.17 hours

Step-by-step explanation:

The speed of light is about 670,616,629.4 miles per hour, so the travel time to Neptune is ...

  (2,798,842,000 mi)/(670,616,629.4 mi/h) ≈ 4.17 h

It takes about 4.17 hours for light to travel from the sun to Neptune.

I need help with this asap

Answers

Answer:

3\sqrt{3}

Step-by-step explanation:

look this up and it will give you the answer

pls mark brainliest

Answer:

The sqrt of 3 is an irrational number.

The sqrt of 9 is a rational number.

Step-by-step explanation:

hi, can someone please answer this?

Answers

Step-by-step explanation:

[tex] \frac{7}{27} [/tex]

it helps you ☺️☺️

Thank you ☺️☺️

help please !!!!! no explanation needed

Answers

It’s d I think I have to right to fill the character limit

Answer:

Its D super easyyyyyyh
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