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

Point Q is the image of Q (0,6) under the translation (x,y) (x+7,y-5)

What are the coordinates of Q?

Answers

Answer

7, 1

Step-by-step explanation:

do math

Suppose y varies directly as x, and y = 9 when x = 36. Find y when x= 100.​

Answers

Answer:

25

Step-by-step explanation:

let x = 36

y =  9

x2 = 100

y2 = y2

y : x :: y2 : x2

We know,

Product of means = Product of extremes

That is,

y(x2) = x(y2)

Substituting the values,

9(100) = 36(y2)

=> 36(y2) = 900

=> y2 = 900/36

=> y2 = 25

so when x = 100, y =25

Solve for x: -2 - 4 > 8
(9th grade Algebra 1)

Answers

Answer:

A

Step-by-step explanation:

-2x-4>8

-2x>12

-x>6

x<-6

Answer:

[tex]x < - 6[/tex] (first option)

Step-by-step explanation:

[tex] - 2x - 4 > 8[/tex]

[tex] - 2x > 8 + 4[/tex]

[tex] - 2x > 12[/tex]

[tex] = x < - 6[/tex]

Write an algebraic expression for each verbal expression. 1. the sum of k and 8
2. 17 less than a number x times 9
6. four times the difference of a cubed and 8​
PLZ HELP ASAP

Answers

Answer:

k + 8 = y

9x - 17

4(x²-8)

What’s m=y2-y1 divided by x2-x1 for Y2

Answers

Answer:

slope formula

Step-by-step explanation:

Help anyone can help me do this question,I will mark brainlest.​

Answers

Your answer is in the attachment .

Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!

I need help solving this systems of equations problemn

Answers

Answer:

thequantity in column b is greater

Step-by-step explanation:

7a+b=33......(1)

3a-b=7.........(2)

(1)+(2)

7a+b+3a-b=33+7

10a+b-b=40

10a=40

a=4

in equation (1)

7*4+b=33

28+b=33

b=33-28

b=5

b>a

600 miles/day into miles per hour

Answers

There are 24 hours in a day. So, you just need to divide 600 miles/ 24 hour.
the answer is 25step-by-step explanation 600 miles ÷ 24 miles Divided the speed value by 24...Hope U like my answer and my answer helped U...

Half the difference of a number n and 20 is 30. What is the number?​

Answers

Answer:

80

Step-by-step explanation:

Half the difference of a number n and 20 ⇒  (n - 20)/2... is 30 ⇒ = 30

Solve the equation for n:

(n - 20)/2 = 30n - 20 = 30*2n - 20 = 60n = 60 + 20n = 80

The number is 80

Answer:

Number is 40

Step-by-step explanation:

Let the number be n

(n - 20)/2 = 30

(n - 20) = 2 × 30

n = (2 × 30) + 20

n = 60 + 20

n = 80

I will give brainliest to correct answer
-2^2(-5x+10)=100 solve for x

Answers

Answer:

x = 7 would be the correct answer to your question.

I hope this helped! :D

With 4 weeks remaining in the season, Lisa has 31 more homeruns than Mark. If Mark is to hit more homeruns than Lisa, he must average at least how many more homeruns per week than Lisa?

Answers

Answer:

31/4

= 7.75

So Mark has to average more than 7.75 homeruns per week.

Step-by-step explanation:

Mark me as brainliest.

4 1/6 = 3 1/3c

WAHT?!? HOW IN THE WORLD DO YOU EVEN DO THIS?!?

Answers

Answer:

1 1/4 =c

Step-by-step explanation:

4 1/6 = 3 1/3c

Change the mixed numbers to improper numbers

4 1/6 = ( 6*4+1)/6 =25/6

3 1/3 = ( 3*3+1)/3 = 10/3

25/6 = 10/3c

Multiply each side by 3/10

25/6 * 3/10 = 10/3c * 3/10

3/6 * 25/10 = c

1/2 * 5/2 =c

5/4 =c

Change back to a mixed number

1 1/4 =c

b) Convert 101, into denary number​

Answers

If 101 is given in base b, then in base 10 you have

[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]

For instance, if b = 2, then

101₂ = 2² + 1 = 5₁₀

If b = 3, then

101₃ = 3² + 1 = 9₁₀

If b = 4, then

101₄ = 4² + 1 = 17₁₀

The answer depends entirely on the base of the given number.

How much money does an employee working
for a salary of $52,000 per year get paid
monthly?
A. $52,000 per month
B. $1,000 per month
C. $2,000 per month
D. $4,333 per month

Answers

Answer:

433

Step-by-step explanation:

433. . . . . . . ............,.. srry it made me write this much to answer

Answer:

The correct answer would be D!

Step-by-step explanation:

Employee's salary: $52,000

Months in a year: 12

52000 / 12 = 4,333.333(r)

Closest answer: D

find the value p with working

Answers

Answer:

64/672/882(986)*866772

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

(4x – 5)(7 – 2x) – (2x + 2)(2 – 4x)= -1

Answers

Answer: x= 19/21.

Step-by-step explanation:

We can expand the expression to:

28x - 8x^2 - 35 + 10x -4x + 8x^2 - 4 + 8x = -1

We can then cancel the - 8x^2 and the + 8x^2 and simplify further by adding like terms:

38x - 35 + 4x -4 = -1 --> 42x - 39 = -1

We can then add 39 on both sides:

42x = 38

We can then divide both sides by the GCF (greatest common factor), 2:

21x = 19

We divide both sides by 21:

x = 19/21

1Use the Zero Product Property to solve for x.
a. (x +13)(x - 7) = 0
b. (2x+ 3)(3x - 7) = 0
C. x(x-3) = 0
d. x^2 – 5x = 0
e. x^2 – 2x – 35 = 0
f. 3x^2 + 14x - 5 = 0​

Answers

a. x + 13 = 0

x = -13

x-7= 0

x= 7

b. 2x +3 = 0

2x = -3

x= -3/2 or -1.5

3x -7 = 0

3x = 7

x = 7/3

c. x = 0

or x = 3

these you have to change it into that form first

d. x= 5

or x = 0

e. x= 7

or x = -5

f. x = 1/3 or -5

Denver is 5,280 ft above sea level. Stone Mountain is 1,686 ft above sea level. How much higher is
Denver than Stone Mountain? Explain how you got your answer.

Answers

Answer:

3,594

Step-by-step explanation:

It is asking *than* which means subtraction. so simply subtract and you get the answer

not hard!

3,594 ft higher.
the word THAN always means subtract so we subtract Denver’s height from Stone mountains

solve the equation
5(2x + 8) = - 33 +53

Answers

Answer:

5(2x + 8) = –33 + 53

10x + 40 = –33+53

10x= –33+53–40

10x = –20

x = –20/ 10

x = – 2

I hope I helped you^_^

(help pls), What numbers are a distance of 68 unit from 18 on a number line?

Select the locations on the number line to plot the points.

Answers

To be 6/8 units from 1/8, you need to either add or subtract 6/8 from 1/8.

1/8-6/8 = -5/8

1+8+6+8 = 7/8

On the number line, just count 6 markers to the left or right from 1/8, since each marker is 1/8 of a unit.

Solve the equation -2x = -3x + 14
Evaluate the expression x² - 3y + 12 for x and y = 5

Answers

#1

[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]

[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]

[tex]\\ \sf\Rrightarrow x=14[/tex]

#2

[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]

[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]

[tex]\\ \sf\Rrightarrow 25-15+12[/tex]

[tex]\\ \sf\Rrightarrow 10+12[/tex]

[tex]\\ \sf\Rrightarrow 22[/tex]

what is the value of x when the distance between the points (-2,-3) (-3,x) is equal to 5​

Answers

Answer:

(-3,-4)

Step-by-step explanation:

What is the transformation shown in the graph?
6
c
A
360° rotation
180° rotation
90° rotation
reflection

Answers

Answer:

Reflection is shown in the graph.

The function f(x)=x^2+2 is not one to one. Determine a restricted domain that makes it one to one and find the inverse function

Answers

Answer:

Hope it helped

Step-by-step explanation:

The restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function  would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be  f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .

What is inverse of a function?

An inverse function or an anti function is defined as a function, which can reverse into another function.

Now the given quadtratic function is,

f(x) = x² + 2

Now vertex of the given quadratic function is (0,2)

Thus the range of the function is [2,∞)

If we restrict the domain of this function to either (-∞,0} or [0.∞), it will become one to one function.

Now the inverse function is given as,

y = x² + 2

Upon interchanging x and y, we get:

x = y² + 2

⇒ y² = x - 2

or, y = ±[tex]\sqrt{x-2}[/tex]

Hence, the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be  f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .

Thus, the restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function  would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be  f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .

To learn more about function :

https://brainly.com/question/17210215

#SPJ2

Solve the following equation:
14a – (2a + 9) = {(12a - 18)
a =

Answers

Answer:

no solution

Step-by-step explanation:

14a – (2a + 9) = (12a - 18)

Distribute the minus sign

14a – 2a - 9 = (12a - 18)

12a -9 = 12a -18

Subtract 12a from each side

12a -9-12a = 12a-18-12a

-9 = -18

This is not a true statement so there is no solution

28 + 2h = 2h + 6. What does “h” equal?

Answers

I believe the answer is 28=6, but I could be wrong tho.

2h – 2h = 28-6 —> 0 = 22

It cannot be solved because 2h -2h equals zero, so there is no h .

Need help on this hm THE MIDDLE ONE

Answers

Answer:

{0, 1, -1}

Step-by-step explanation:

2x - 6 = 3x + 1 - x - 7

2x - 6 = 2x - 6

0 gives you -6 = -6

1 gives you -4 = -4

-1 gives you -8 = -8

What is the area of a rectangle with a length of 5 cm and a width of 3 cm

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

15cm²

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Shevonia wants to decrease her energy bill by 189. If her
electric bill is currently $348 a month, what will her bill be
if she is successful?

Answers

Answer:

$159

Step-by-step explanation:

$348-189

=$159

An object travels back and forth along a straight line. Its velocity, in centimeters per second, is given by the
function v(t)
= 13 sin(pi/(45)t), where t is time in seconds.
What is the maximum velocity of the object?
O 0 cm/s
O 13 cm/s
O 26 cm/s
O 90 cm/s

Answers

A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element

The correct option for the maximum velocity of the object is the option;

13 cm/s

The reason for the selection is as follows:

The known parameters of the motion of the vehicle are:

The type motion of the vehicle = Repetitive back and forth

The path of the motion of the object = Along a straight line

The function that gives the velocity in centimeters per second (cm/s) is given as follows;

[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]

Where;

t = The time in seconds (a set of the input variables of the function)

v(t) = The velocity of the object (the output variables of the function)

The velocity of the object, v(t), depends (is given by) on the time t, therefore;

The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function

The maximum output value of the sine function = 1, therefore;

[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]

[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]

The units of the of the function is cm/s

Therefore, the maximum velocity of the object is 13 cm/s

Learn more about functions here:

https://brainly.com/question/23999020

Answer: B. 13 cm/s

Step-by-step explanation:

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