70 pointsss for the correct answer

When the function f(x) is divided by 4x−5, the quotient is 3x^2 −x+3 and the remainder is −2. Find the function f(x) and write the result in standard form.

Answers

Answer 1

Answer:

f(x) = 12x³ - 19x² + 17x - 17

Step-by-step explanation:

We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.

We're given a denominator of 4x - 5

a quotient of 3x² - x + 3

and a remainder of -2

so the original numerator is:

(4x - 5)(3x² - x + 3) - 2

= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2

= 12x³ - 19x² + 17x - 17

Let's test that by dividing it by 4x -5 with long division:

[tex]\ \ \ \ \ \ \ \ \ \ 3x^2 - x + 3\\4x - 5\overline{)12x^3 - 19x^2 + 17x - 17}\\.\ \ \ \ \ \ \ \ \ \underline{2x^3 - 15x^2}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ -4x^2 + 17x\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-4x^2 + 5x} \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12x - 17\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{12x - 15}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2R[/tex]

That matches, so we know our answer's right, and:

f(x) = 12x³ - 19x² + 17x - 17


Related Questions

A model car has a length of 7.25 inches. The actual car is 14.5 feet long. What is the scale of the model car?

Answers

Answer:

1:24

Step-by-step explanation:

Convert inches to feet, 7.25 inches is 0.604 feet.

0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x

Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!

chris sold a watch for $1500 thereby making a profit of 20% calculate the amount chris payed for the watch

Answers

Picture? So I can see?

In a class of 22 students, 13 have a brother and 15 have a sister. There are 3 students who do not have any siblings. What is the probability that a student has a brother given that they do not have a sister?

Answers

Answer:

1/4

Step-by-step explanation:

The probability that a student has a brother given that they do not have a sister 9/7.

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given;

[tex]\rm P(E)=\dfrac{Number \ of \ favourable \ events}{Number \ of \ total \ events}\\\\[/tex]

In a class of 22 students, 13 have a brother and 15 have a sister.

There are 3 students who do not have any siblings.

3 students don't have a sibling.

The probability that a student has a brother given that they do not have a sister is;

[tex]\rm P(E)=\dfrac{Number \ of \ favourable \ events}{Number \ of \ total \ events}\\\\ \rm P(E)=\dfrac{13+15-22+3}{22-15}\\\\\rm P(E)=\dfrac{31-22}{7}\\\\ P(E)=\dfrac{9}{7}[/tex]

So, the probability that a student has a brother given that they do not have a sister 9/7.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2


HELP ME PLEASE!!!!!ITS DUE TODAY!!

Answers

Answer:

T = 11.77

18% Tip = 2.12

Total with tip = $13.89

This should be right :)

Lmk how I did!

hi everyone i got a 16/20 on a final what percent is that im jw

Answers

Answer:

80%

Step-by-step explanation:

The previous owner of Ahmed's new sail boat recalled that the area of sail B was 108 square feet. What is the length of the base of sail B? Use the image below.

Answers

Answer:

81 ft

Step-by-step explanation:

Bryan initially filled a measuring cup with 3/10 of a cup of syrup from a large jug. Then he poured 1/10 of a cup back into the jug. How much syrup remains in the measuring cup?

Answers

2/10. 3-1/10 = 2/10.

The area of a rectangle is 35x - 20. Find the length and width of the triangle. (Hint: Factor completely) Write your answer as a product. Ex: 8(3x-2).

Answers

Answer should be 5(7x-4)
I factored out the greatest common factor which is 5.

Please help me get the answers for this

Answers

Answer:

B.

Step-by-step explanation:

Somebody help me ASAP noww

Answers

Answer:

65

Step-by-step explanation:

That is a 180 split so 180-115=65

Which of the following is equivalent to
8/9

Answers

the answer is b ! ;)

One of these expressions reduces to 1 and the other reduces to –1. Do you know which one is which? How do you know? x + 3 3 + x 3 − x x − 3 x + 3 3 + x = The numerator of the expression 3 − x x − 3 can be written as . 3 − x x − 3 =

Answers

Answer:

First Blank: 1

Second Blank: -1 (x-3)

Third Blank: -1

Step-by-step explanation:

The expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.

The two given expressions are [tex]\frac{x+3}{3+x}[/tex] and [tex]\frac{3-x}{x-3}[/tex].

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here,

[tex]\frac{x+3}{3+x}=\frac{x+3}{x+3}=1[/tex]

Now, [tex]\frac{3-x}{x-3}=\frac{-(x-3)}{x-3}=-1[/tex]

Therefore, the expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ5

A boat can travel 128.8 miles on 16.1 gallons of gasoline. How far can it travel on 9.4 gallons?

Answers

128.8/16.1 = x/9.4
x= (128.8*9.4)/16.1
X=75.2
So the answer is 75.2

Katheryn fills container X with water. She
wants to pour the water into container Y until
it is full.

Answers

Pour it until it is full

PLS PLS PLS PLS PLS PLS helpppp im so confused and just need some help on this.


ill mark u breainliest or whatever ya want just pls answer this with the correct answer its due in like 10 mins​

Answers

Answer:

14. non- proportional

15.it will take 88 minutes to add 16 seats.

It will take 104.5 minutes to add 19 seats.

Step-by-step explanation:

Let m represent number of minutes.

We have been given that an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle to a rate of 2 seats in 11 minutes.

We will use proportions to solve our given problem.

To find the time taken to add 16 seats, we will  in our proportion as:

Therefore, it will take 88 minutes to add 16 seats.

To find the time taken to add 19 seats, we will  in our proportion as:

Therefore, it will take 104.5 minutes to add 19 seats

This is trickery I might can get it

All equilateral triangles are -------- triangles. acute scalene obtuse or right?

Answers

Answer:

All equilateral triangles are acute angle triangles.

In the following figure, the value of x is ?

Answers

Step-by-step explanation:

Using SOH CAH TOA

sin#=opp/hyp

sin35=x/20

20sin35=x

x=11.4715

x=11.5

Help needed on this question

Answers

Hope this helps!
I’ve attached a photo

!!!!!!Help Me Plz!!!!!!

Answers

Answer:

angle ABE = 55 degrees

Step-by-step explanation:

(3x-8) + (x+14) = 90

4x+6 = 90

4x = 84

x = 21

angle ABE = 3(21)-8 = 55

Someone help me pls :(

Answers

Answer: (3,3)

Step-by-step explanation:

find the value of each variables​

Answers

Answer:

Step-by-step explanation:

Two similar triangles.

10/26 = y/13

y = 5

x² = 13² - y² = 144

x = 12

An object with a mass of 5.0kg accelerates 8.0m/s2 when an unknown force is applied to what is the force?

Answers

Uhhh good question ion know

Answer:

The correct amount of force i believe is

f= 40 newton

i got the answer by using the formula below

force = mass x acceleration

f=5kg *8.0 m/s^2

Step-by-step explanation:

help me out, please. Thank you!

Answers

Answer:

a: 5

b: (0, -2)

c: 3

d: (0, 11)

Step-by-step explanation:

Hope this helps!

There were 30 pairs of jeans on sale for 2/3 of the regular price.
The regular price was $36. What was the sale price?

Answers

Answer : $36

Explanation:

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.

25% = 25/100

25100=x48

14=x48

(1) * (48) = (4) * (x)

48 = 4x

(48)/4 = (4x)/4

12 = x

The discount is $12.

$48 – $12 = $36

PLEASEE HELPPP
find the solution to the system of equations

Answers

The answer is
X: 1
Y:3

Please help

Please

Which 2 segment are parallel?

Please

Answers

Answer:

E and D

Step-by-step explanation:

The answer is segment EB is parallel to FA. You can tell because hey have an same number of arrows on their lines going in the same direction, meaning they’re parallel.

(PLEASE HELP) What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x = 12

Step-by-step explanation:

(10x - 20)° + (6x + 8)°= 180°

(Linear pair angles)

(10x - 20 + 6x + 8)°= 180°

(16x - 12)°= 180°

16x - 12 = 180

16x = 180 + 12

16x = 192

x = 192/16

x = 12

Answer:

so x would equal 12

Step-by-step explanation:

(10x - 20)° + (6x + 8)°= 180°

so you are going to want to combine like terms which would be

10x and 6x, and 20,8

10x+6x=16x

20-8=12

16x-12=180

now you want to get 12 on the opposite side of the equal side so you add (since it is negative) 12 to each side

which gets rid of the first 12

16x=180+12

now you can add 180+12

and you get 192

so now we want to get x by itself in order to do that you must divide

you are going to divide by 16 an each side and the 16 cancels out the first 16

16x/16=192/16

x=192/16

and 192 divided by 16 is 12

so you answer is

x=12

Hope this made sense :)

Find the unknown side length, x. Write your answer in simplest radical form. A. 3 B. Sqrt 34 C 6 D.Sqrt 41 Please select the best answer from the choices provided

Answers

Answer:

Attach a picture of the shape for the sides already known...

Step-by-step explanation:

i need help telling if these are true or false

Answers

Answers:

FalseTrueFalseTrue

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

Explanations:

Point A is located at (0,1). It then moves to A' which is at (0,3). Note the y coordinate goes from y = 1 to y = 3, so the scale factor is 3/1 = 3 instead of 4. Therefore, the claim is false.Point A is at (-4,4). It moves to (-2,2). Each coordinate of (-4,4) is cut in half to get (-2,2). Cutting a value in half is the same as multiplying by 0.5, so point A fits the description. Let's find out if point B does as well. B is at (2,4) and it moves to B' (1,2); we can see that point B has its coordinates cut in half as well. Points C and D also work to fit the description (I'll let you check those coordinates) which means overall, quadrilateral ABCD dilates with a scale factor of 0.5 to get to quadrilateral A'B'C'D'. The answer here is "true".Point W is at the location (-1,1). Triple each coordinate to get (-3,3) which is where point W' should be located if we applied the dilation of scale factor 3. However, the diagram shows W' is not at (-3,3). It seems to be fairly close to (-2,2) if anything. We don't need to check the other points, but I recommend you do so just for practice. The answer here is "false".Because the scale factor is 0.25 = 1/4, this means "scale factor of 0.25" is the same as "scale factor of 1/4". That tells us to "multiply each coordinate by 1/4" which in turn is equivalent to "divide each coordinate by 4". Point E is at (-4,4) which moves to (-1,1) when we divide each coordinate by 4. Note how point E' is at (-1,1). So E moves in the proper way according to the instructions given to us. Points M, W and O also move in a similar fashion after we divide their coordinates by 4. The answer here is "true".

PLEASE HELP ME!!!





Determine whether the function rule models discrete or continuous data.
Function # 1: A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the number purchased d.
Function # 2: A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of the peanuts to the number of pounds purchased p.


A.) Functions # 1 models discrete data. Function # 2 models continuous data.


B.) Functions # 1 models continuous data. Function # 2 models continuous data.


C.) Functions # 1 models continuous data. Function # 2 models discrete data.


D.) Functions # 1 models discrete data. Function # 2 models discrete data.

Answers

Answer:

the answer is a tell me if this helps!!

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