Given that f(x)=4x3-12x2+10 and g(x)=x3 – 2x2 + 5x
The value of f(x)- g(x)= ax'+bx?+ cx+d. What are the values of the coefficients a,b,c,d?

Answers

Answer 1

Answer:

The values of a,b,c and d are as follows:

a = 3, b = -12, c = -5, d = 10

Step-by-step explanation:

Given functions are:

[tex]f(x) = 4x^3-12x^2+10\\g(x) = x^3-2x^2+5x[/tex]

We have to find the value of f(x) - g(x). This means we have to subtract function g(x) from function f(x)

So,

[tex]f(x) - g(x) = (4x^3-12x^2+10)-(x^3-2x^2+5x)\\= 4x^3-12x^2+10-x^3+2x^2-5x[/tex]

Combining alike terms

[tex]= 4x^3-x^3-12x^2+2x^2-5x+10\\= 3x^3-10x^2-5x+10[/tex]

Now it was given that:

f(x)- g(x)= ax^3+bx^2+ cx+d

By comparing both we get

a = 3, b = -12, c = -5, d = 10

Hence,

The values of a,b,c and d are as follows:

a = 3, b = -12, c = -5, d = 10


Related Questions

Which equation represents the perpendicular
bisector of AB whose endpoints are A(8,2) and
B(0,6)?

Answers

Answer:

y = ½x + 2

Step-by-step explanation:

We are given the coordinates of the endpoint as;A(8,2) and

B(0,6)

The midpoint coordinates will be;

((8 + 0)/2, (2 + 6)/2) = (4, 4)

The slope of the midpoint using gradient formula will be;

m = (6 - 2)/(0 - 8)

m = 4/-8

m = -2

Thus, slope of a line perpendicular to the midpoint is;

m_p = -1/m

m_p = -1/-2

m_p = 1/2

Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;

y - 4 = ½(x - 4)

Multiply both sides by 2 to get;

2y - 8 = x - 4

Add 8 to both sides to get;

2y - 8 + 8 = x - 4 + 8

2y = x + 4

Divide through by 2 to get;

y = ½(x + 4)

y = ½x + 2

Solve for c.

a (b – c) = d


a) c= d - ab/a

b) c= ab – d/b

c) c= ab – d/a

d) c= ab + d/а

Answers

The answer is c) c=ab-d/a

Answer:

C) c=ab-d/a

Step-by-step explanation:

just took the test

Solve -0.8(10 - x) = 36

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear equation.

Solving we get as,

-0.8(10-x)=36

=> -8 + 0.8x = 36

=> 0.8x = 36+8

=> 0.8x = 44

=> x = 44÷0.8

=> x = 55

x= 55.

The solution of the expression will be;

⇒ x = 55

What is an expression?

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

Given that;

The expression is,

⇒ -0.8 (10 - x) = 36

Now,

We can solve the expression as;

The expression is,

⇒ -0.8 (10 - x) = 36

⇒ - 0.8 × 10 + 0.8x = 36

⇒ - 8 + 0.8x = 36

⇒ 0.8x = 36 + 8

⇒ 0.8x = 44

⇒ x = 44 / 0.8

⇒ x = 55

Thus, The solution of the expression will be;

⇒ x = 55

Learn more about the mathematical expression visit:

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What is the slope of the line given by the function f (x) = 7 – 2x?

Answers

Answer:

I am not certain but I think it is -2 give that a try and hope it helps!

x is directly proportional with y. Write an equation that shows the relationship if x=10 and y=4.

Answers

Answer:

x=3

Step-by-step explanation:

y

=

3

x

Explanation:

Direct proportionality is defined as:

y

=

α

x

where

α

is some constant that defines the proportionality.

Given

x

=

2

and

y

=

6

, we find:

y

=

α

x

6

=

α

(

2

)

3

=

α

So the relationship here is

y

=

3

x

12. Antara yang berikut, yang manakah terlibat dalam sistem mekanikal pintu gelangsar
automatik.


I Menerima dan menukar isyarat input dari alat kawalan jauh.
II Terdiri daripada takal dan tali sawat.
III Berfungsi untuk membuka dan menutup pintu.
IV Gear pada motor membantu pergerakan mudah.


A I, II, dan III
C I, III, dan IV
B I, II, dan IV
D II, III, dan IV​

Answers

B ..


............. bbbbbb

A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the
number of days, t, since the shipment arrived. Here is a table showing some values of d
Calculate the average rate of change for the following intervals:
a. day 0 to day 5

b. day 15 to day 20
t d(t)
0 2,000
5 1,283
10 823
15 528
20 338

Answers

The average rate of change:

a. -143.4 decks per day

b. -38 decks per day.

Important information:A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the number of days, t, since the shipment arrived. The calculation is as follows:

a.

For day 0 to day 5

[tex]= (1,283 - 2000) \div (5 - 0)\\\\= -717 \div 5\\\\= -143.4[/tex]

b.

For day 15 to day 20

[tex]= (338-528) \div (20-15)\\\\= -190 \div 5\\\\= -38[/tex]

Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults


The value of y is directly proportional to the value of x.If y when x = 40, what is the value of y when x = 140?

Answers

Answer:y=14

Step-by-step explanation:

Solve this equation.
24 + 0.44x = 19 + 1.69x

Answers

Answer:

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 + 0.44x - 1.69x = 19

-1.25x = 19 - 24

-1.25x = -5

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 - 19 = 1.69x - 0.44x

5 = 1.25x

1.25x = 5

x = 5/1.25

= 4

i need a good grade please

Answers

Answer:

A is not correct

Step-by-step explanation:

angle GHK is a vertical angle but Jhi is not

which function does not have a vertical asymptote?

a. y=5x/x*x^2

b. y=5x/1+2x^2

c. y=5x-1/x

d. y=x/1-x^2

Answers

Answer:

B. y=(5x)/(1 + 2x^2)

Step-by-step explanation:

A. y = (5x)/(x * x^2)

Vertical Asymptotes: x = 0

B. y = (5x)/(1 + 2x^2)

Vertical Asymptotes: None

C. y = (5x - 1)/x

Vertical Asymptotes: x = 0

D. y = x/(1 - x^2)

Vertical Asymptotes: x = -1, 1

plz help
Functions f, g, and h are defined as follows: f(x) = x +1, g(x) = x^2 +1, and h(x) = x^3 +1.
(a) Find the inverse of function g(x).
(b) Find f(h(-2))
(c) Find g(f(3)

Answers

Answer:

a. let the gx be x

g(x) = x^2+1

or, x^2+1=y

or, x^2= y-1

:. x=2 root y-1

inter changing the relation of xand y

:. x=2 root y-1

:. g-1(x)= 2root x-1

b.

Can someone help me ????

Answers

I think that the best answer is the second one
8x^2+1x-4

Hope you get it right :D
There is a program for solving math equations I'm looking for



I need help plzzzzzzzzzzzzzzzzz

Answers

Answer:

x=21

Step-by-step explanation:

I think we are supposed to assume that is a right angle which means 90-6= 84

84/4= 21

A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds. Which expression represents this situation?

Answers

A because your diving for a total of 16 seconds and your diving in water so your going down would make it a negative.

For questions 1 - 2, use the distributive property to find the product of the binomials.
1. (x - 4)(2x + 5)
2. (4x - 2)(x-3)

Please make is simple to understand.

Answers

Answer:

1).  2x^2-3x+20

2). 4x^2-14x+6

Step-by-step explanation:

1. (x-4)(2x+5)

FOIL:

(x)(2x)+5(x)-8(x)+(4)(5)

2x^2+5x-8x+20

=2x^2-3x+20

2. (4x-2)(x-3)

FOIL:

(4x)(x)-(3)(4x)-2(x)-2(-3)

4x^2-12x-2x+6

=4x^2-14x+6

QUACKITY SUPREMACY ALSO I NEED HELP WITH MATH

Answers

I can’t see the photo reload it please

Answer:

QUACKITY IS THE MOST POG PERSON EVER

Step-by-step explanation:

BECAUSE I SAID SO

The average daily attendance at the Lincoln school was 348 students during the month of March. If the month has 21 school days what was the total attendance?

Define a variable, write an equation, then solve.

Answers

Answer:

7308

Step-by-step explanation:

348 times 21 = 7308

Sorry if this is wrong.

Estimate 38 3/22 - 14 29 by rounding each number to the nearest whole number

Answers

Answer:

600

Step-by-step explanation:

Please help! This is my last question on the homework and it’s taking forever for me to do

Answers

Answer: y = x + 40

Step-by-step explanation: y = x + 40

First of all, the line starts at the y-axis on 40, which means the y-intercept is 40.

Second, the slope, Rise over run. y2 - y1 / x2 - x1, which is = to 50 - 40 divided by 15 - 5. That is 10 over 10 or 10/10. The slope of that is 1 so the slope is just x.

There are a few possible answers and they are

y - 40 = 1(x - 0)

y - 50 = 1(x - 10)

y - 60 = 1(x - 20)

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

Explanation:

Pick two blue points from the graph. I recommend points that land on grid intersections so we can read the coordinates easily. Two such points are (0,40) and (10,50)

Use the slope formula to find the slope

m = (y2-y1)/(x2-x1)

m = (50-40)/(10-0)

m = 10/10

m = 1

The slope is 1.

Note how I subtracted the y coordinates, then did the same for the x coordinates in the same order, and divided the differences.

------------------

Since your teacher wants the answer in point slope form, we'll use this as our template

y - y1 = m(x - x1)

where m is the slope and (x1,y1) a the point the line goes through. We have infinitely many choices for (x1,y1) since there are infinitely many points on this line.

------------------

If we use (x1,y1) = (0,40), then we get

y - y1 = m(x - x1)

y - 40 = 1(x - 0)

which is one possible answer

------------------

If we use (x1,y1) = (10,50), then we get

y - y1 = m(x - x1)

y - 50 = 1(x - 10)

which is another possible answer

------------------

If we use (x1,y1) = (20,60), then we get

y - y1 = m(x - x1)

y - 60 = 1(x - 20)

which is another possible answer

------------------

So again there are multiple answers possible. The slope stays the same each time, but x1 and y1 change depending on which point you choose.

WILL MARK BRAINLIEST

Answers

Answer:

Width: (13 inches side) 169 ft

Length: (11 inches side) 143 ft

Step-by-step explanation:

I'm not 100% sure but I tried :)

In order to prove a conjecture is always true, you must show?

A.) a formal proof
B.) a counterexample
C.) several true examples
D.) an informal proof

Answers

In order to prove a conjecture is always true is formal proof.

We have given that,

A.) a formal proof

B.) a counter-example

C.) several true examples

D.) an informal proof

We have to prove a conjecture is always true

In order to prove a conjecture is always true, you must show formal proof.

What is the conjecture?

A conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof.

Therefore the first option is correct.

In order to prove a conjecture is always true is formal proof.

To learn more about the conjecture visit:

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Answer: A- a formal proof

Step-by-step explanation:

just is

Please Help Quick ASAP Hurry This is Pre-Algebra 1
The table shows the low outside temperatures for Monday, Tuesday, and Wednesday.
What was the change in the low outside temperature from Tuesday to Wednesday?
Day Temperature (°C)
Monday -12.5
Tuesday -8.6
Wednesday -10

A.18.6°
B.-10°
C.-18.6°
D.1.4°

Answers

Answer:

d=1.4

Step-by-step explanation:

cuz 10-1.4=8.6

Answer:

D. 1.4

Step-by-step explanation:

-8.6 - (-10) = 1.4

Which trigonometric identity is the reciprocal of the cos identity?

A. cosec
B. sec
C. sin
D. cot

Answers

Step-by-step explanation:

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

In the seventh grade, Rachel read 15 books.
In the eighth grade, she read 18 books.
Determine the percent of increase in the
number of books Rachel read.

Answers

Answer:

20%

Step-by-step explanation:

Calculate percentage change

from V1 = 15 to V2 = 18

(V2−V1)|V1|×100

=(18−15)|15|×100

=315×100

=0.2×100

=20%change

=20%increase

Answer:

20%

Step-by-step explanation:

Mr. Khan and his wife are going to equally share 3 brownies. How many brownies will
they each get?

Answers

Answer:

1 1/2

Step-by-step explanation:

3/2= 1 1/2

Find three solutions for the linear equation 4x-3y = 1

PS. answer plsss​

Answers

Answer:

I had shoot it so, hope it help u. and sorry, if it is incorrect!!

Answer:

X=1, y=1,(x,y)=(1,1)

X=0,y=-1:3,(x,y)=(0,1:3)

X=1:4,y=0,(1:4,0)

Step-by-step explanation:

Just put the numbers instead of x in the equation and get y, and in (x, y) put the numbers x, y instead.

The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1

Answers

2x + 3 = 2y + 5, solve for x

2x = 2y + 2

x = y + 1

Given f(x) = 17x - 18, find x when f(x) = 33.

Answers

Answer:

f(x) = 17x - 18

y=17x-18

y=17(33)-18

y=561-18

y=543

f(x)=543

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Plug in 33 for f(x) into the first equation:

33 = 17x - 18

17x = -51

x = -3

Determine how (if possible) the triangles can be proved similar.

Answers

Answer:

opposite sides are congruent and parrallel

Step-by-step explanation:

im pretty sure im correct because i learned this in 10th grade for Algebra

Answer:

SAS Similarity

hope this helps<3

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