f(x) = 3x3 + 4x2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).

Answers

Answer 1

[tex]\displaystyle (f-g)=f(x)-g(x) =3x^3+4x^2-8x-2-(3x-5 )= \\\\ \boxed{3x^3+4x^2-11x+3}[/tex]


Related Questions

Write an equation: At 2 claps, Joe is in position 7 and walking towards zero at a rate of 3 claps per minute.

Answers

Answer:

I'll assume "position 7" refers to distance and not to the order of other people.  

Step-by-step explanation:

We want an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).  We can assume that "claps" is a new measure of distance.  0 claps is the finish.

Let's express the information provided in point format.

"At 2 claps, Joe is in position 7"  is (2,7)  2 is the distance (claps) and 7 is the time (minutes)

And we can say the rate is also the slope of a line.  "rate of 3 claps per minute" is 3c/m, where c is claps and m is minutes.

We can start a line equation by stating y = 3x + b, where we're using the rate, 3 c/m, as the slope, m.

We need to determine the value of b.  We can use the given point (2,7) and solve for m:

y = 3x + b

7 = 3*(2) + b

b = 1

The equation becomes y = 3x + 1

y is the distance in claps and x is the time in minutes.

At a time of 2 claps he is at position of 7.  b = 1 means he started 1 clap further from the finish at 0 claps.

To find the time required to reach the finish, we need to know the total distance, in claps.

Kate and Riley are reading the same book. Kate reads 1/3 page per minute, and Riley reads 3/4 page per minute. Kate has already read 70 pages, while Riley has read 30 pages. If they both resume reading together, eventually Riley will catch up to Kate.

(please show your working)

a. On what page will that occur?
b.How many minutes have they read when Riley catches up?

Answers

Let's call kate, sara
And call riley ,henery

PLEASE HELP IT’S DUE TMR

Answers

Answer:

hope you find the answer

A box has 200 socks, 20 are blue and the rest are red. A person draws socks at random from the box, hoping to find a pair of blue socks. (a) Suppose that m socks are taken without replacement. Let Y be the random variable that counts the number of blue socks in the sample of m. What is the pmf of Y

Answers

Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...

please solve fast it's urgent​

Answers

Answer:

∅=30°

Step-by-step explanation:

[tex]sin[/tex]∅[tex]=\frac{1}{\sqrt{3} }sin60^{0}[/tex]

sin∅=[tex]\frac{\frac{\sqrt{3} }{2} }{\sqrt{3} } =\frac{\sqrt{3} }{2\sqrt{3} }=\frac{1}{2}[/tex]

∅=[tex]sin^{-1}(\frac{1}{2})= 30^{0}[/tex]

I hope this help you

in a class of 80 students 3/4 study biology and 3/5 study physics. if each student studies at least one of the subjects. (1) Draw a venn diagram to represent this information. (2) how many students study both subjects (3) find the fraction of the class that study Biology but not physics​

Answers

According to the calculations made, 28 students study both subjects, and 1/2 of the class studies biology but not physics.

Given that in a class of 80 students 3/4 study biology and 3/5 study physics, to determine, if each student studies at least one of the subjects, how many students study both subjects, and find the fraction of the class that study Biology but not physics, the following calculation must be performed:

Biology: 80 x 3/4 = X 80 x 0.75 = X 60 = X

Physics: 80 x 3/5 = X 80 x 0.60 = X 48 = X

60 + 48 - 80 = X 108 - 80 = X 28 = X

Therefore, 28 students study both subjects.

68 - 28 = 40 80 = 1 40 = 1/2

Therefore, 1/2 of the class studies biology but not physics.

Learn more in https://brainly.com/question/1301963

Find the value of x so that | || m. State the converse used

Answers

X = 12 because 14x - 23 = 9x + 60 then you just solve for x

The price of a notebook has risen to $3.45 today. Yesterdays price was $3.20. find the percentage increase, round your answer to the nearest tenth of a percent.

Answers

Answer:

7.8%

Step-by-step explanation:

Yesterday’s price =$3.20

Today’s price =$3.45

Increase =today’s price - yesterday’s price

That’s $3.45 - $3.20

= $0.25

Percentage increase = increment /yesterday’s price x 100%

That’s $0.25/$3.20 x 100%

0.0781 x 100%

7.81

7.8%

A truck driver always drives 3 miles per hour. She drives for 5 hours each day. How many miles will she drive in 3 days?

Answers

Answer:

45 miles in 3 days

Step-by-step explanation:

if she drives 3 miles an hour for 5 hours a day that would be 3x5=15

15x3 days=45 miles in 3 days

If 1=3

2=3

3=5

4=4

5=4

Then, 6=?

Answers

Answer:

The answer can be literally anything.

Step-by-step explanation:

The answer can be literally anything. I can see most of the answers says 3 but, that is only one of the solutions. It is the answer when questions defines the relationship as number of characters, but the question never says that. All it says is, find me a relation which satisfies few values, and then find the relationship value at a new point.

Let us start by examining the question. So here is the question in mathematical terms:

Given:

f(1)=3, f(2)=3, f(3)=5, f(4)=4 and f(5)=4

Find f(6).

So if we assume the function to be f(x) then we know its value at 5 points.

Let’s say f(6)=K, so now we know it’s value at 6 points.

Now, given the value of a function at N points, we can always find a (N-1) degree polynomial which will be that function.

Now, you can put whatever value of K you want, and you will get corresponding set of coefficient vector which will satisfy the function values at the given points.

On a side note, I don’t consider this puzzle a good puzzle, since most of the people asking it expect only 3 as answer. They basically want you to limit the way you think, in a particular direction, which I think is not a very great idea.

Resource: http://mth.bz/fit/polyfit/findcurv.htm#06

It concludes that 6 = 3 for the given pattern, because in "six" has "3" letters.

What is the pattern in the reasoning?

A pattern is a recurring series of occurrences or elements that can be used to identify and categorize various forms of data or information.

As per the question,

1=3

2=3

3=5

4=4

5=4

If we write "1" in a word then we will write "one" and if we count the letter it will give us "3".

If we write "2" in a word then we will write "two" and if we count the letter it will give us "3".

If we write "3" in a word then we will write "three" and if we count the letter it will give us "5".

Similarly, if we write "6" in a word then we will write "six" and if we count the letter it will give us "3".

Hence, 6 = 3.

Learn more about the pattern of numbers here:

https://brainly.com/question/10943425

#SPJ2

Use number line to compare the numbers
0 and - 60
Which shows the correct symbol to compare the numbers?
=
>

Answers

Answer:

0 > -60

Step-by-step explanation:

Every negative number is less than 0

Plz help ASAP will mark branliest

Answers

Step-by-step explanation:

Consider that:

[tex](f/g)(x) = f(x) / g(x)\\(f - g)(x) = f(x) - g(x)[/tex]

Fill in the blanks

Row 1    ⇒ 2 and -5

(-1)*(-2) = 2

Solve using two values:

f(x) - g(x) = - 10 and f(x)/g(x) = - 1  ⇒ f(x) = -g(x), substitute into first-2g(x) = - 10 ⇒ g(x) = 5 and f(x) = - 5

Row 2   ⇒ -5 and 5

- 2 - 3 = - 5g(x) = 5 (see above solution)

Row 3    ⇒ - 6 and 4

-10 - (-4) = - 62 - (-2) = 4

Row 4     ⇒ -6/7 and 2/5

-6/7-2/-5 = 2/5


What is the midpoint of the segment that joins the complex numbers 7 + 3i and -5 – 8i?
A) 16+11/2i
B) (1,5/2)
C) 1- 5/2i
D) (-6, 11/2)

Answers

Answer:

C)

Step-by-step explanation:

The midpoint is the average of the two points.

Thus,

Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i

What is the median for this list of numbers? 11, 23, 43, 22, 9, 15

Answers

Median x˜ 18.5

that is the answer.

What even is this? Did my teacher have a typo?
56\pi +67i\leq +23

Answers

Answer: it's not a typo its a formula

hope this helps

brainliest?

60 POINTS HELPP!!

The value of y varies directly with x. if x=3, then y=18. What is the value of x when y=84?

Answers

Answer:

it is 14

Step-by-step explanation:

if X=14 then Y=84

Answer:14
When Y=18
X=3
Then
Y=84
X=14

1. Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?

A. 35
B. 36
C. 37
D. 38
E. 39

Answers

D. 38

3+5=8
8+6=14
14+7=21
21+8=29
29+9=38

Slope -3/4 and passes through the point (-3, -8). What is the point slope form

Answers

Point-slope form is: y - y1 = m ( x - x1 )

You plug in your slope for m and the x and y values from that point for x1 and y1.

    y - (-8) = -3/4 ( x - (-3) )

Be sure to clean up the "minus a negative" to get

    y + 8 = -3/4 ( x + 3 )

a meterologist said that it rained during 20 % of the past 60 days. on how many days did it not rain

Answers

Answer:

48 days

Step-by-step explanation:

20% of 60 is 12

60-12=48

Answer:

48

Step-by-step explanation:

20% of 60 is 12, 60-12=48

Hope that helps

let p=0.579 compute Q
let q=0.871 compute p.

Answers

In probabilities, variables p and q are often used as complements of another.

The value of q is 0.421The value of p is 0.129

The relationship between variables p and q is:

[tex]\mathbf{p+ q = 1}[/tex]

So, we have:

(a) p = 0.579

Substitute 0.579 for p in [tex]\mathbf{p+ q = 1}[/tex]

[tex]\mathbf{0.579 + q = 1}[/tex]

Make q the subject

[tex]\mathbf{q = 1 - 0.579}[/tex]

[tex]\mathbf{q = 0.421}[/tex]

The value of q is 0.421

(b) q = 0.871

Substitute 0.871 for q in [tex]\mathbf{p+ q = 1}[/tex]

[tex]\mathbf{p + 0.871 = 1}[/tex]

Make p the subject

[tex]\mathbf{p = 1 - 0.871}[/tex]

[tex]\mathbf{p = 0.129}[/tex]

The value of p is 0.129

Read more about probability complements at:

https://brainly.com/question/10198002

Option is
AA
SAS
Not enough information to prove similarity
SSS

Answers

Answer:

SAS

Step-by-step explanation:

The included angle is similar and they have corresponding sides.

The ratio of men to women working for a company is 2/3. If ther are 105 employees total, how many women workfor the company

Answers

Answer: There are 70 women and 35 men.

Step-by-step explanation:

105 divided by 3 is 35 and 105 - 35 is 80.

Please solve this for me thxs

Answers

Answer:

3w + x/z + y

That is simplest form

A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?

Answers

Answer:

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average.

[tex]\frac{4}{\sqrt{5}-1 } -\frac{4}{\sqrt{5}+1\\ }[/tex]

Answers

°★ .     .  °☆  . ● ¸ .   ★ ° .  • ○ ° ★  .        * .  ☾ °  ¸. * ● ¸     ° ☾ °☆  . * ¸.   ★  ★ ° . .    . ☾ °☆  . * ● ¸ .   ★ ° :.  . • ○ ° ★  .  * .     .   °  . ● .    ° ☾ °☆  ¸. ● .  ★  ★ ° ☾ ☆ ¸. ¸  ★  :.  . • ○ ° ★  .  * . .  ¸ .   °  ¸. * ● ¸ .    ° ☾ °  ¸. ● ¸ .  ★ ° :.  . • °   . ★ ° . .    . ☾ °☆  . * ● ¸ .   ★ ° :.  . • ○ ° ★  .  * .      .   °  . ● .    ° ☾ °☆  ¸. ● .  ★  ★ ° ☾ ☆ ¸. ¸  ★  :.  . • ○ ° ★  .  * . .  ¸ .   °  ¸. * ● ¸ .    ° ☾ °  ¸. ● ¸ .  ★ ° :.  . • °   .  * :. . ¸ . ● ¸    ★  ★☾ °★ .     .  °☆  . ● ¸ .   ★ ° .  • ○ ° ★  .        * .  ☾ °  ¸. * ● ¸     ° ☾ °☆  . * ¸.   ★  ★ ° . .    . ☾ °☆  . * ● ¸ .   ★ ° :.  . • ○ ° ★  .  * .    .   °  . ● .    ° ☾ °☆  ¸. ● .  ★  ★ ° ☾ ☆ ¸. ¸  ★  :.  . • ○ ° ★  .  * . .  ¸ .   °  ¸. * ● ¸ .    ° ☾ °  ¸. ● ¸ .  ★ ° :.  . • °   . ★ ° . .    . ☾ °☆  . * ● ¸ .   ★   . • ○ ° ★  .  * .      .   °  . ● .    ° ☾ °☆  ¸. ● .  ★  ★ ° ☾ ☆ ¸. ¸  ★  :.  . • ○ ° ★  .  * . .  ¸ .   °  ¸. * ● ¸ .    ° ☾ °  ¸. ● ¸ .  ★ ° :.  . • °   .  * :. . ¸ . ● ¸    ★  ★☾ °★ .     .  °☆  . ● ¸ .   ★ ° .  • ○ ° ★  .        * .  ☾ °  ¸. * ● ¸     ° ☾ °☆  . * ¸.   ★  ★ ° . .    . ☾ °☆  . * ● ¸ .   ★ ° :.  . • ○ ° ★  .  * .      .   °  . ● .    ° ☾ °☆  ¸. ● .  ★  ★ ° ☾ ☆ ¸. ¸  ★  :.  . • ○ ° ★  .  * . .  ¸ .   °  ¸. * ● ¸ .  ° ☾ °  ¸. ● ¸ . 

[tex]join \: bunny \: squad[/tex]

[tex]join \: bunny \: squad[/tex]

btw,, the formula you insert is incorrect:)

Answer:

haysst pa brainliest po

salamat sa ponts

by-m=ay+n solve for y

Answers

Answer:

move all terms to the left side and set equal to zero. Then set each factor equal to zero.

[tex]y= n + m/ b-a[/tex]

Step-by-step explanation:

50 POINTS! PLEASE HELP! Which graph represents the solution set of the system of inequalities?

{y≤2x+1 y>−2x−3

Answers

Step-by-step explanation:

the second one as the -2x-3 is only on the second one

2nd one I believe… all the number are positive so it has to go to a positive side…

fine all the prime factorization for 22, 44 show your work

Answers

Answer:

Step-by-step explanation:

Greatest common factor (GCF) of 22 and 44 is 22.

GCF(22,44) = 22

We will now calculate the prime factors of 22 and 44, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22 and 44.

Simplify (3x^2y^3)^3

Answers

Answer:

27 x^( 6 )y^( 9)

Step-by-step explanation:

LOL LAST 1 IM SORRY AHHHH !!!!

Answers

Answer:

102

Step-by-step explanation:

Answer:

Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.

Step-by-step explanation:

180-  102 - 30= 48 degrees

180 - 48 = 132 degrees

Other Questions
english hhhhhhhhheeeeelllllppppppppp What did you learn in this lesson about the value of leaving the money invested for long periods of time? How can you apply this to retirement? uh i was just wondering if anyone wanted to play Mine craft with me just uh let me know lolhave a great day!! :) Thomas Cole's paintings inspired which of the following?A. American SpiritB. American SymbolC. American National Identity D. American Faith Need some help Im really trying graduate Portia's father, even though he is dead, has power over his daughter's choice of husband 'the will of a living daughter is curbed by the will of a dead father' (1, 2, 24). Do you think that parents alive or dead - should have any influence over their children's marriages? what is the source of the carbon plants use to make organic molecules? If Rebecca had sent the replacement part for the copier, we _____ it yesterday How did events like the English Civil War affect conditions described in theexcerpt? A bag has 4 red balls ,3 green balls and 5 blue balls. What is the probability of getting a red ball randomly If you traveled 50m/s for 60 seconds, how far did you travel? Remember speed=distance/timeQuestion options:300 m/s500 m/s3,000 m/s300 km/hfor some reason my question got removed-_- How do you shift exponential functions? write an opinion essay (200-250 words) on the following topic: If you want to be successful in business, building connections is more important than offering good products or services. Which statements always apply to the process of diffusion? Check all that apply.Molecules move from high concentrations to low concentrations.Molecules move from inside of the cell to outside of the cell.Diffusion requires proteins in the cell membrane.Molecules are evenly distributed at the end.Diffusion requires energy. Mikey is reading a 604-page book. He read 148 pages last week. If he reads for x hours at 19 pages per hour, which equation represents how long it will take him to finish the book? A. 148x + 19 = 604 B. 19x + 604 = 148 C. 19x + 148 = 604 D. 19x - 148 = 604 can you predict a dark room is empty or not with the help of sound? how?please help me 50 points Find the next three terms of the arithmetic sequence.10, 13, 16, 19 if you confuse someone, you do this to them 4. Which values are solutions of2x 1= 7? Select all that apply.A) X=-4(B) x = -3C=3D= 4 1. Oxygen was discovered by Joseph Priestley in 1774 when he heated mercury (II) oxide, HgO, to decompose it to form its constituent elements. How many moles of mercury (II) oxide are needed to produce 125 g of oxygen?Given:Unknown:Mole ratio:Solution:2. In a blast furnace, iron (III) oxide is used to produce iron by the following (unbalanced) reaction:Fe2O3(s) + CO(g) Fe(s) + CO2(g)If 4000 g of Fe2O3 is available to react, how many moles of CO are needed?Given:Unknown:Mole ratio:Solution:Final answer:ugh pls help:(