f(x) = 2x3 + 6x2 – 5x – 3
g(x) = 3x – 4
Find (f - g)(x).
O A. (f - g)(x) = 2x3 + 6x2 – 2x – 7
O B. (f - g)(x) = 2x3 + 6x2 – 2x + 1
O c. (f - g)(x) = 2x3 + 6x2 – 8x – 7
O D. (f - g)(x) = 2x3 + 6x2 – 8x + 1

Answers

Answer 1

Answer:

D) is the answer

Step-by-step explanation:

It is taught in 5th class in India

Mark as Brainliest.

Because I am Indian and solving your question from India.

Answer 2

The correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that:-

f(x) = 2x³ + 6x² – 5x – 3

g(x) = 3x – 4

The function (f-g)x will be calculated as follows:-

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( 2x³ + 6x² – 5x – 3 )  - ( 3x – 4 )

(f - g)(x) =  2x³ + 6x² – 5x – 3 - 3x + 4

(f - g)(x) =   2x³ + 6x² – 8x + 1

Therefore the correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

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Related Questions

How to I write 1 2/3 as an improper fraction help ASAP

Answers

You would write 5/3 for it to be an improper fraction
you would write it as five over three
[ 5/3 ]

Robert pays $32.04 for 6 student tickets to the basketball game. What is the cost of each student ticket?

Answers

Answer:

$5.34

Step-by-step explanation:

Step-by-step explanation:

$5.34

hope it helps!

......

someone help me out please

Answers

Answer:

The answer would be B :)

Step-by-step explanation:

c. is wrong :)

explanation: the line of symmetry is NOT equal to zero.

mark me brainliest! :)

If f(x)=|x−5|+2, find f(3)

Answers

Answer:

f(3) = 4

Step-by-step explanation:

The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.

Thus, based on the function:

f(x)=|x−5|+2

f(3) = |3−5|+2

f(3) = |-2|+2

-Absolute value of -2 = 2-

f(3) = 2+2

f(3) = 4

WILL GIVE POINTS!! Must answer!

What is the range in interval notation?

Answers

Answer:I think it’s option 2, light blue

Step-by-step explanation:

Please explain to me how to do this question with right answer

Answers

Answer:

[tex]\boxed {\boxed {\sf b=8}}[/tex]

Step-by-step explanation:

The Pythagorean Theorem is:

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

In this triangle, 6 and b are the legs, because they form the right angle.

10 is the hypotenuse, because it is opposite the right angle. Plus, it's the longest side.

[tex]a=6 \\b=b\\c=10[/tex]

Substitute the values into the Theorem.

[tex]6^2+b^2=10^2[/tex]

Evaluate the exponents.

6²= 6*6= 36

[tex]36+b^2=10^2[/tex]

10²= 10*10= 100

[tex]36+b^2=100[/tex]

Subtract 36 from both sides of the equation to isolate the variable (b).

[tex]36-36+b^2=100-36[/tex]

[tex]b^2=100-36[/tex]

[tex]b^2=64[/tex]

b is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{b^2}=\sqrt{64[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=8[/tex]

In this triangle, b (the other leg) is equal to 8

Esther had five times as many cards as Richard. Esther gave 1/4 of her cards to Richard. Then, Richard gave 1/6 of his cards to Esther in return. In the end, Esther had 90 more than Richard. How many cards did Esther have at first?

Answers

Answer:

Esther has 200, Richard has 40

Esther gives Richard 50 cards. Now they have

Esther: 150, Richard: 90

Richard gives Esther 15, so they now have

Esther: 165, Richard 75

Step-by-step explanation:

Answer:

Esther had 200 cards at first

Step-by-step explanation:

Variables:

  Esther:  5r

  Richard:  r

Equalities:

  e = 5r

  e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90

Solve:

  Replace e with 5r and solve for r:

        e - e/4 + 1/6 (r + e/4) = 5/6 (r + e/4) + 90

     5r - 5r/4 + 1/6 (r + 5r/4) = 5/6 (r + 5r/4) + 90

        5r - 5r/4 + 1/6 (2.25r) = 5/6 (2.25r) + 90

            5r - 1.25r + 0.375r = 1.875r + 90

            5r - 1.25r + 0.375r - 1.875r = 90

                                             2.25r = 90

                                                     r = 40

  Esther:  5r = 5(40) = 200

  Richard:  r = 40

What is the actual slope of a line with the points (-4, 9) and (3, -5)?

Answers

Answer:

slope=∆y/∆x=9+5/-4-3=14/-7=-2

Answer:

-2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

lets use (-4, 9) as x1 and y1 and (3, -5) as x2 and y2

when plugged into the equation we get (9+5)/(-4-3) which ultimately equals -2.

Please help
9/5= ?÷?
19/28=?÷?
1 3/5=?÷?

Answers

the “/“ sign means division, what kind of question even is this.

9/5= 9÷5

19/28=19÷28

So for the last one, we can turn it into an improper fraction which is:

8/5 = 8÷5

What is 4 2/5 times 2 2/3

Answers

11.733333333 is the answe of the question u asked me today hope it works

Definition of intersect in geometry.

Answers

Answer:

Intersect means two lines met together and formed a point.

Step-by-step explanation:

None

god loves you!!!!!!!!!

Answers

Answer:

He loves you too!!

Step-by-step explanation:

Three friends are participating in a
charity run. Joy ran 6.8 miles, Simón ran
5.5 miles, and Kita has run 8.4 miles.
Part A
Complete the bar diagram to find the
total distance the friends have run.

Part B
If each friend ran the same distance of
the charity run, how many miles would
each friend run? Complete the bar
diagram to help you
Part C
It took Simón 33 minutes to run
5.5 miles. Did he run faster or slower
than 1 mile every 5 minutes? How can
you tell?

Answers

Answer:

Part A. 20.7

Part B. 6.9, 6.9, 6.9

Part C. Slower. 33/5.5= 6. 6 minutes is greater than 5 minutes so Simon  ran slower than 1 mile  every 5 minutes.

Step-by-step explanation:

NEED HELP ASAP!!!!Instructions: Using the following image, solve for the trigonometry ratios of

Answers

Answer:

17

8/17

Step-by-step explanation:

x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]

sin∠D = [tex]\frac{8}{17}[/tex]

the product of a number and -8 is 72​

Answers

Answer:

-9.

The product of -9 and -8 is 72.

Step-by-step explanation:

Product means the answer of a multiplication, so we're given 72 and -8.

We can solve this by using inverse operations.

The inverse operation of multiplication is division, so we divide 72÷ -8

This will give us -9.

in the equation 80 multiplied by 10 = 8, the number 80 is the

Answers

Answer:

product of 10 and 8

Step-by-step explanation:

8 is the quotient of 80 and 10 (80/10=8)

A classmate writes and incorrect proportion to find x. Explain and correct the error.

Answers

Answer:

x / 9 = 12 / 15

Step-by-step explanation:

Correct proportion by given same angle;

x / 9 = 12 / 15

x = (12)(9) / 15

x = 108 / 15

x = 7.2 unit

Which expression would the model be most helpful in solving?

An area model has 5 shaded parts and 1 unshaded part.

Answers

This question is awfully vague without any images of the equation to back it up, sorry

HELP!!!!!!!!!!
The perimeter of a rectangle is 44 inches. If the width of the rectangle is 10 inches, what is the length?
A.
12 inches
B.
22 inches
C.
34 inches
D.
24 inches

Answers

P .= 2L + 2W at W= 10, P= 44

44 = 2L + 2 (10)

44 = 2L + 20

44-20 = 2L

24 = 2L

L= 24/2

L= 12cm

IM DOING THIS IN CLASS HELP! Yesterday, there was 4 inches of snow on the ground. It snowed overnight and now there is 6 inches of snow on the ground. What integer represents the amount of snow on the ground now

Answers

Answer:

6

Step-by-step explanation:

6 inches of snow is an amount above ground, so it is represented by a positive integer.

Answer: 6

Answer:

Firstly, it was 4 inches

After snowing it becomes (4+6)= 10 inches;

From ground it is 10 inches of snow

So, 10 inches is the right answer.

The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.

Which statement best describes the rate of change for this situation?


A. The worker earns $40 per hour.

B. The worker earns $8 per hour.

C. The worker earns $10 per hour.

D. The worker earns $320 per hour.

Answers

B the worker earn $8 per hour which is below minimum wage he need a new job!

Option B - The worker earns $8 per hour is the correct alternative.

We have a graph that shows the relationship between the number of dollars a worker earns and the number of hours worked.

We have to select the statement which best describes the rate of change for this situation.

How do you calculate the Slope of Line ?

The slope of a line can be calculated using -

[tex]$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

According to the question, we have two coordinate points marked on the graph -

P(20, 60)

Q(40, 320)

Using the formula to calculate the slope of a line, we get -

[tex]$m = \frac{320-160 }{40 -20 }[/tex]

m = 8

We know that the slope of the line represents the rate of change of y with respect to x. Therefore, the worker earns $8 per hour.

Hence, Option B is correct.

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MY HRW ‼️ Solve the equation. You may find using algebra tiles helpful in solving this problem.
X +6=-X-6

Answers

Answer:

x=-6

Step-by-step explanation:

x+6=-x-6

(-6)+6=(6)-6

0=0

Answer:

Solve the equation. You may find using algebra tiles helpful in solving this problem.  X +6=-X-6               X= -6

Which of the following is a solution of x^2 -10x = -36?

-5 - i √10
5 + i √61
-5 - i √11
5 + i √11

Answers

X=5+or-i sqrt 11.... so both of the last two options are correct

Is this true or false ??

Answers

I believe the answer is true

30 points it is timed please it is due by 11:10 eastern time

Answers

Answer:

1. >

2. <

3. =

4. >

5. >

6. =

7. <

8. <

9. =

10. <

11. >

12. >

13. <

14. =

15. >

16. <

17. >

18. <

19. yes

20. yes

21. yes

22. 2/3, 0.65, 63%

23. 98.5%, 0.98, 7/8

24. 0.2, 1/12, 2%

25. The Pitchers for the visiting team

26. School Bus, Family Vehicle, Bike

Hope this helps :)

A local insurance agent visits the high school and tells the students that his insurance company will give students a 7% discount on liability insurance, PIP. comprehensive insurance, and collision insurance for three years if they take a defensive driving course. Maria spends $1,437.00 on her auto insurance annually.

Answers

The question is vague, but I'll try and help.

Answer:

She saves $100.59 a year.

Step-by-step explanation:

Saving 7% of $1,437.00 each year.

7% of $1,437.00 (0.07 x $1,437.00) = $100.59

If it asks how much she saves over a certain number of years, just multiply 100.59 times how many years it asks for. Hope this helps.

The required, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

What is the investment?

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they invested.

Here,
If Maria spends $1,437.00 on her auto insurance annually and she takes the defensive driving course, she will get a 7% discount on her liability insurance, PIP, comprehensive insurance, and collision insurance for three years.

To calculate the amount of the discount, we first need to find 7% of $1,437.00:

Discount = 0.07 × $1,437.00 = $100.59

So, the amount of the discount that Maria will receive annually is $100.59.

To find the total savings over three years, we multiply the annual discount by three:

Total savings = $100.59 × 3 = $301.77

Therefore, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

Learn more about investments here:

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3. Given that f(x) = 1/ax - 3 and f(x)^-1 = 2x – 6b.
a. Find the values of a and b. ​

Answers

Answer:

a = 2, b = -1

Step-by-step explanation:

type the formula into desmos and adjust the sliders until you have a symmetrical pattern

Free Brainliest
There are 7 red, 6 blue, 12 green and 9 yellow marbles in a bag. What is the probability of not selecting a red or yellow marble?

Answers

Answer:

there are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.

Step-by-step explanation:

Answer:

I believe its 52.94% (53 rounded)

Step-by-step explanation: First add all the numbers to see the total amount of marbles (34) Second is add the marbles that are NOT red or yellow (18).Then the final step is divide 18/34

Hope this helps and have a great day

What’s 1/4 +2/3 or 3/4+2/3

Answers

Answer:

1/4+2/3=11/12

3/4+2/3=17/12

Step-by-step explanation:

Daryl has 7 hats. David has h times more hats than Daryl. How many hats does David
have?
for 10 points!!

Answers

Answer:

David has 7h hats

Step-by-step explanation:

Daryl: 7

David: 7h

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