if the sum p(x)=ax^2-3x+b and q(x)=3x^3-12x^2+cx-13 is r(x)=3x^3-8x^2+3x-5,then find the value of a,b and c.​

Answers

Answer 1

Answer:

a=4, b=8, c=6

Step-by-step explanation:

ATQ, p(x) + q(x) = r(x)

3x^3-(12-a)x^2-(3-c)x+b-13 = 3x^3-8x^2+3x-5

Comparing the coefficients, we have

12-a=8, a=4

b-13=-5, b=8

-(3-c)=3, c=6


Related Questions

please help me is for my homework​

Answers

Answer:

35/100 if I remembered correctly, XD

Answer:

[tex]\frac{35}{100}[/tex]

Step-by-step explanation:

if you want to convert decimal to fraction you first have to observe the decimal point

here the decimal point is after 2 numbers so

u will take 100 to be divided with

[tex]\frac{35}{100}[/tex]

What is the value of 2-3. 22,
Pls help quick

Answers

Answer:

-1.22

Step-by-step explanation:

-1:22
this gives you -22


A marathon runner runs at 7.6 mph for three and a half hours.
How many miles has he run?

Answers

Answer:

26.6 miles

Step-by-step explanation:

distance = speed × time ( time is in hours )

              = 7.6 × 3.5

             = 26.6 miles

3 1/4 x 1 1/3 . work it out

Answers

Answer:

13/3

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

plzz help............​

Answers

Answer: Choice A

[tex]\frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]

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

Proof:

Apply the derivative to choice A. The goal is to prove the derivative is equivalent to the given integrand.

[tex]y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\\frac{dy}{dx} = \frac{4}{\pi}\left[\sin^{-1}(x)+\frac{x}{\sqrt{1-x^2}}-\frac{x}{\sqrt{1-x^2}}\right]-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\[/tex]

It's far from obvious, but we can apply a bit of algebra like so

[tex]\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-\frac{\pi}{\pi}\\\\\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\[/tex]

Next, we divide every term by 2. This is so we can replace the pi terms with pi/2

[tex]\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\[/tex]

We do this to take advantage of the trig identity [tex]\sin^{-1}(x)+\cos^{-1}(x) = \frac{\pi}{2}[/tex]

So we'll be replacing every instance of "pi/2" with the left hand side of that equation just mentioned.

Therefore,

[tex]\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\left(\sin^{-1}(x)+\cos^{-1}(x)\right)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\[/tex]

This shows that differentiating the expression in choice A leads to the given integrand.

If we reverse all of the steps mentioned, then we can show that:

[tex]\displaystyle\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\\ \int\frac{dy}{dx}dx = \int\frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}dx\\\\\\y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]

since integrals and derivatives are tied together through inverse processes (one undoes the other more or less).

Which of the following is true ?
Select one:
O a. 70<7-3
O b. 4-5<4-3
O c. 5-2 <5-3
O d. 25223

Answers

Answer:

b. 4 - 5 < 4 - 3

Step-by-step explanation:

a. 70 < 7 - 3

   70 < 4

false, 70 is not greater than 4

b. 4 - 5 < 4 - 3

   - 1 < 1

true, 1 is greater than -1

c. 5 - 2  < 5 -3

    3 <  2

false, 2 is not greater than 3

d. 25223

?

hope this helps! if you have any questions, let me know!

(8p
2 − 5 p
4 − 2p
3) + (4p
3 + 2 p
2 − 2p
4)

Answers

Answer:

the answer is A)  

Step-by-step explanation:

combine like terms

4p+14

a=

2x2p+2x7

hope this helps

Find the missing integer that makes the statement true.
____+(-3) = 2

Answers

Answer:  5

Explanation:

Think of the problem as x-3 = 2 where x is the blank that we need to fill in.

Adding on -3 is the same as subtracting 3, so that's why x+(-3) is the same as x-3.

To solve x-3 = 2, we add 3 to both sides and we'll get x = 5

Then note how 5-3 = 2 to help confirm the answer.

Answer:

5

Step-by-step explanation:

5 + (-3) = 5 - 3


13. MULTIPLE CHOICE Which statement about the diagram at the right is true?
A. A, B, and C are collinear.
B. C, D, E, and G are coplanar.
C. B lies on Ray GE.
D. Ray EF and ray ED are opposite rays.

CHAMPS CHAMPS
2005 2006 D

Answers

Answer:

A

Step-by-step explanation:

I hope right answer

I hope right answer

b. 4a’(a? – b?) and 9a’(a? – bº) LCM of this expression



Answers

Answer:

Answer:

Step-by-step explanation:

1st expression:4a(a-b)

2nd expression:9a(a-b)

So L.C.M=a(a-b)4×9

=36a^2-36ab

I got same answer ^^^ of this one


Mr. Jones took a survey of college students and found that 60 out of 64 students
are liberal arts majors. If a college has 7505 students, what is the expected
number of students who are liberal arts majors?

Answers

use the fraction 60/64= liberal art majors and convert into a percentage which is 93.75%
find 93.75% of 7505 and that’s ur answer
the answer is approximately 7035 students

Someone help me answer this please y = 6х – 2х^2

Answers

Answer:

[tex]0=x[/tex],  [tex]3=x[/tex]

Step-by-step explanation:

One is given the following equation:

[tex]y=6x-2x^2[/tex]

Factor this expression:

[tex]y=-2x(x-3)[/tex]

Set the equation equal to (0), then use the zero-product property to solve for (x). The zero product property states that any number times zero equals zero. Thus, one can apply this here to solve for (x):

[tex]0=-2x(x-3)[/tex]

[tex]0=-2x[/tex]          [tex]0=x-3[/tex]

Inverse operations,

[tex]0=-2x[/tex]          [tex]0=x-3[/tex]

[tex]0=x[/tex]               [tex]3=x[/tex]

18/20-4/12
Show your work​

Answers

Answer:

17/30 (0.56)

Step-by-step explanation:

18/20-4/12

Reduce the fraction with 2 and 4: 9/10-1/3

Write all numerators above the least commmon denominator 30: 27-10/30

Subtract: 27-10/30 = 17/30

I’ve attached my work
Hope it helps!

The price of an item yesterday was $120. Today, the price rose to $156. Find the percentage increase.​

Answers

Answer:30%

Step-by-step explanation:

GAIN = 156- 120=$ 36

% GAIN = [tex]\frac{gain}{old cost price } X 100%\\[/tex]

= [tex]\frac{36}{120} X 100%[/tex]

=30%

if q is inversely propotional to p, and q= 120 when p=2, form an equation connecting p and q and calculate q when p=5

Answers

Answer:

q = 108/p

Explanation:

the initial statement is q  ∝  1 /p

to convert to an equation multiply by k the constant of variation  

⇒  q  =  k × 1 /p  = k /p

to find k use the given condition

q  =  k/ p  

⇒  k  =  q/ p  =  3 /2  ×  72  = 108

equation is   q = 108/ p

Answer:

q = 48

Step-by-step explanation:

Given q is inversely proportional to p then the equation relating them is

q = [tex]\frac{k}{p}[/tex] ← k is the constant of proportion

To find k use the condition q = 120 when p = 2 , then

120 = [tex]\frac{k}{2}[/tex] ( multiply both sides by 2 )

240 = k

q = [tex]\frac{240}{p}[/tex] ← equation of proportion

When p = 5 , then

q = [tex]\frac{240}{5}[/tex] = 48

help lol
I need help with this math question lol, click the picture

Answers

Answer:

A. 3(2m+9) and 6m+27

Step-by-step explanation:

Use the distributive property to solve 3(2m+9).

3×2m+3×9

6m+27.

I hope this helps!  

pls ❤ and mark brainliest pls!

Is 2x-4=2x-7 one solution, no solution, or infinitely many solution?

Answers

Answer:

no solutions

Step-by-step explanation:

2x-4=2x-7 (subtract 2x by the 2x on the other side)

-4 = -7 ( add 4 to negative 4 and add 4 to negative 7)

0 ≠ -3 (0 zero does not equal -3, if the solution had one solution then you would find x. if the solution had infinitely solutions then the numbers would be equal [like -3 = -3])

Since the equation ended with an invalid answer ( 0 ≠ -3) it has no solutions. hope this helps!

Helppp

Helppppp please !!!!!!

Answers

9+4-3=10. Hope it helps

Answer:

10

Step-by-step explanation:

g(n) = n² + 4 - n

if g(3), substitute 3 in the (n)

g(3) = 3²+4-3

g(3) = 10

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.​

Answers

Answer:

BC = 12

Step-by-step explanation:

23 - (2 + 9)

23 - 11 = 12

BC = 12

JEROME
(2/3)^2 = 2/9

can someone tell me what is Jerome mistake.​

Answers

Law of Exponent

[tex] \displaystyle \large{( \frac{a}{b} )^{n} = \frac{ {a}^{n} }{ {b}^{n} } }[/tex]

From the expression.

[tex] \displaystyle \large{( \frac{2}{3} )^{2} = \frac{ {2}^{2} }{ {3}^{2} } = \boxed{\frac{4}{9} } }[/tex]

Jerome's mistake is that Jerome forgot to evaluate 2^2 or forgot to add 2^2. The denominator is correct but the numerator is wrong.

How did Srinivasa ramanujan religion create a clash when he worked with G.H hardy

Answers

In his notes, Hardy commented that Ramanujan had produced groundbreaking new theorems, including some that "defeated me completely; I had never seen anything in the least like them before" and some recently proven but highly advanced results.

Mrs. Richards had a coupon for one-third off her total bill at the local
grocery store. She bought 2 boxes of cereal for $3.49 each, three cartons
of ice-cream for $2.99 each, and a six pack of soda for $1.99. How much
was her bill with the discount?

Answers

Answer: The bill with a discount is $18.59

Step-by-step explanation:

Given information

2 boxes of $3.49 cereal

3 cartons of $2.99 ice-cream

6 packs of $1.99 soda

1/3 discount off total bill

Given expression

Bill = (1 - 1/3) (2 × 3.49 + 3 × 2.99 + 6 × 1.99)

Simplify values in parentheses

Bill = (2/3) (6.98 + 8.97 + 11.94)

Simplify by addition

Bill = (2/3) (27.89)

Simplify by multiplication

Bill = $18.59 (Rounded to the nearest hundredth because the usual money ends in nearest cent)

Hope this helps!! :)

Please let me know if you have any questions

You are offered two jobs. One with a yearly salary of $51,670, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?

Answers

Answer:

$9170 per year , or ≈ $3.92 per hour

Step-by-step explanation:

We can solve this by putting both of these in terms of yearly salary and going from there.

The first job is already in terms of yearly salary.

The hourly rate job is $26 per hour. There are 45 hours worked per week, and we add $26 for each hour. Another way of saying this is  26 * 45 = total amount earned for the week = $1,170 .

There are 52 weeks in a year, and you make $1,170 per week on the hourly job. This means that over 52 weeks, you will earn 1170 * 52 = 60840. This is the yearly rate for the second job.

The difference between the two jobs is

60840 - 51670 = $9170 per year. Dividing by 52 to get the weekly gain, we get ≈ $176.35 more for the hourly job each week. Dividing by 45 to get the hourly gain, we get ≈ $3.92 dollars from taking the second job

(-1.5) + 3.5+2=
Show your work

Answers

Answer:

4

Step-by-step explanation:

(-1.5) + 3.5+2

-1.5 + 3.5 + 2

2 + 2

= 4

Answer:

4

Step-by-step explanation:

(-1.5) + 3.5 + 2 =

2 + 2 =

4

find the value p with working

Answers

Answer:

64/672/882(986)*866772

p+5 = 12
p=12-5
p= 7
Answer : P=7

What is the following quotient?

Answers

the answer for what is the following quotient is 4.12

HELP MEEEE!!!

which of these graphs do not represent constant rates of change ?

Answers

Answer:

Hello! Your answer would be below!

Step-by-step explanation:

Graph B)

Hope I helped! Ask me anything if you have questions!

What is the value of (-6 + 2i) - (7 - 8i)?
0 -1 + 61
O 1 - 6i
0-13 + 10i
13 + 10i

Answers

Answer: -13 + 10i

Step-by-step explanation: ((-6) + (2 * i)) - (7 - (8 * i)) = -13+10i

One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?​

Answers

Answer:

22 divided 5 I would think

Step-by-step explanation:

If 2 + 2 could = 22, how can you make 2 + 2 = 5?

Answers

Answer:Of the ones mentioned here, I'd say that 3, redefine addition, is the easiest way to use and work with to get lots of self consistent theories that have 2 + 2 = 5.

Step-by-step explanation:

First, it’s easy to prove that 2 + 2 =4. You just need the rule x + Sy = S(x + y) where Sx means the successor of x, or x + 1. With some more steps, with simple natural axioms, you can also derive a contradiction from 2 + 2 = 5. Proof indented so it’s easy to skip.

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