Find (f - g)(x)

f(x) = 3x2 – 2x
g(x) = 9x2 - X+7

A. -6x2 - x-7
B. 6x2 – x+7
C. 12x2 - x-7
D. -6x2 – 3x-7

Answers

Answer 1

Answer:

A

Step-by-step explanation:

We have the two functions:

[tex]f(x)=3x^2-2x\text{ and } g(x)=9x^2-x+7\\[/tex]

And we want to find:

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

This is equivalent to:

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

Hence, by substitution:

[tex]=(3x^2-2x)-(9x^2-x+7)[/tex]

Distribute:

[tex]=(3x^2-2x)+(-9x^2+x-7)[/tex]

Rearrange:

[tex]=(3x^2-9x^2)+(-2x+x)+(-7)[/tex]

Combine like terms:

[tex]=-6x^2-x-7[/tex]

Hence, our answer is A.

Answer 2

Answer:

Step-by-step explanation:

3x^2 - 2x - 9x^2 + x - 7

-6x^2 - x - 7

answer is A


Related Questions

Solve each equation.
a. 6x + 4 = 34

Answers

6x=30
x=5
the answer is 5

Step-by-step explanation:

ans;

6x=34-4

6x=30

x=30/6

:x=5#

Which expression is equivalent to 10 - 3(4x + 8)?

A.
-12x - 14

B.
12x + 14

C.
14 - 12x

D.
-14 + 12x

Answers

Answer:

10-3(4x+8)

=10-12x-24

=-12x-14

The answer is A. -12x-14

A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.

Answers

Answer:

y=3x-1

Step-by-step explanation:

Can someone please help me . WILL MARK BRAINLIEST !!!

Answers

Answer:

The range is  { -10,0,4}

Step-by-step explanation:

The domain is the input and the range is the output

f(-3) = 2(-3) -4 = -6-4 = -10

f(0) = 2(0) -4 = 0-4 = 0

f(4) = 2(4) -4 = 8-4 = 4

The outputs are { -10,0,4}

The range is  { -10,0,4}

Answer:H

Step-by-step explanation:

You just take the domain, add 1 to the first number and the rest stay the same.

When finding all the unknown values in similar right triangles you
have choices: you can use Proportional Relationships or the Pythagorean
Theorem. Which would you use for each of these examples, and why?

Find all the missing sides!

Answers

Answer:

sffsffrdffffgtgttgfftggggfhfffddgddgff


Please help I will mark branliest

Answers

Answer:

I would say the answer is C

Step-by-step explanation:

Each year on the same day, Susan deposits $100 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Susan’s account earned after 2 years?

Answers

Answer:

200

Step-by-step explanation:

Hope this helps. :)

Answer:

the answer is 9$

Step-by-step explanation:

the other guy is waaaay wrong

Does this graph show a function? Explain how you know.

Answers

Answer:

there is no picture sir

Which colonial region was the most culturally diverse

Answers

Answer: Middles colonies

How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5% per annum of simple interest?
[Irrelevant answers will be reported]​

Answers

Answer:

2 years

Step-by-step explanation:

because 4.5 percent of 9000 is 405

405 times 2 is 810

so 2 years

Write an equation to make the number "24" using all the numbers 5,4,2,2 and +, -, x and ÷.

Answers

Answer: See explanation

Step-by-step explanation:

We are given the numbers 5,4,2, and 2 and told to make an equation from it and get a final answer as 24. This will be:

= 5 × 4 + 2 + 2

= 20 + 2 + 2

= 24.

Since we have gotten a final answer of 24, the equation is solved.

6 3/4 divided by 4 1/2

Answers

Answer:

1.5 (1 1/2)

Step-by-step explanation:

This is a method I personally like to use when you can change the fractions to decimals easily.

6 3/4= 6.75 (3/4= 0.75)

4 1/2= 4.5

6.75/4.5= 1.5

The result when the fraction  [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex] is [tex]1\frac{1}{2}[/tex].

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A fraction [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex].

Therefore, 27/4 is divided by 9/2 which is,

= (27/4)/(9/2).

= (27/4)×(2/9).

= 3/2 Or [tex]1\frac{1}{2}[/tex].

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank the remaining water. How much water, to the nearest ten 3 1milliliters does the student have left in the bottle?

Answers

Answer:

25\100*500=125

1/3*125=41.66

41.66 millilites is left in the bottle

Step-by-step explanation:

I NEED HELP!!! ASAP!!!!

What is the value of x in the diagram below?

18/√3

18√2/ √3

18√3/ √2

18√2

Answers

I hope this helps you

at the 30-60-90 triangle has rules

30=>k

60=>k(square root of) 3

90=>2k

so in this triangle 60=> see 9

k(square root of) 3=9

k=9/(square root of) 3

2k=18/(square root of) 3

at the 45-45-90 triangle rules are

45=>2k

45=>2k

90=>[2k/(square root of 3)] (square root of) 2

x=[18/(square root of 3)].(square root of 2)

x=18(square root of 2)/square root of 3

Pls answer, will give brainliest...

Answers

Answer:

a = 5

b = 4

c = 2

Step-by-step explanation:

5 - 0 = 5

8 + 4 = 12 and 4 + 8 = 12

6 + 8 and 12 + 2 is 14

The diagram above shows a right prism container filled with water up to 8 cm in height.

Question : Calculate the volume,in cm³,of water needed to completely fill up the container.​

Answers

nvm ima delete this sry I thought I could do It lol

if the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?​

Answers

Answer:

a₄ = 2

Step-by-step explanation:

Each term in an arithmetic sequence is obtained by adding the common difference to the previous term, then

a₃ = 7 , so

a₄ = a₃ + 5 = 7 - 5 = 2

Answer:

t4=a+(n-1)d

t4=7+(4-1)-5

t4=7+(-15)

t4=-8

PLZ HELP!!!

A bike rental company charges a rental fee plus $8 per hour. If 6 hours costs $73, how much is the rental fee? Solve using an ALGEBRAIC EQUATION

Answers

Answer:

The rental fee is 25

Step-by-step explanation:

Total cost = rental fee plus cost per hours * number hours

t = f + 8*h  where t = total cost, f = rental fee, h = hours

73 = f + 8*6

73 = f+ 48

Subtract 48 from each side

73 - 48 = f+48-48

25 = f

The rental fee is 25

HELP ASAP PLEASE

7a. Find the value of x. (Hint: How many sides does the shape have?)
5x
4x + 2
5x + 5 5
x-10
2x-2
2y - 1 3x+5
Your answer
!
This is a required question
7b. Find the value of y."
Your answer
This is a required question

Answers

Answer:

x = 36

y = 34

Step-by-step explanation:

✔️Sum of the interior angles of an n-sided polygon = (n - 2) × 180

Thus, the figure given is a hexagon with 6 sides.

Therefore, the sum of its interior angles = (6 - 2) × 180

= 4 × 180 = 720.

This means:

(5x) + (4x + 2) + (5x + 5) + (2x - 2) + (3x + 5) + (x - 10) = 720

Solve for x

5x + 4x + 2 + 5x + 5 + 2x - 2 + 3x + 5 + x - 10 = 720

Add like terms

20x = 720

Divide both sides by 20

x = 36

✔️(2y - 1) + (3x + 5) = 180 (angles on a straight line)

Plug in the value of x

2y - 1 + 3(36) + 5 = 180

2y - 1 + 108 + 5 = 180

Add like terms

2y + 112 = 180

Subtract 118 from each side

2y = 180 - 112

2y = 68

Divide both sides by 2

y = 68/2

y = 34

7.8 pounds of seedless red grapes for $2.85 per pound.

How much did Juan spend on seedless red grapes?

Answers

Answer:

$2.85

Step-by-step explanation:

Answer:

$22.23

Step-by-step explanation:

7.8 x 2.85 = 22.23 :D

After 4 new students joined a class, the class had 32 students. Which equation can be used to find n, the number of students in the class before the 4 new students joined? n A 32 Bn -4 = 32 C 4n = 32 Dn+ 4 = 32​

Answers

Answer: D

Step-by-step explanation: if 4 students joined ur adding to the class hope this helps :)

Answer:

The answer is D.

Please help. Will award brainliest:)

Answers

If you give me 10 bucks I’ll eat a rainbow

If I can read 54 pgs in 3 days, how many can I read in 1 day?

Answers

Its 18 because you would divide 54 bu 3

Answer:

18

Step-by-step explanation:

so all you have to do is divide 54 by 3

which model represents 1/3​

Answers

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

Simplify √9a^2 if a<0
Answer not 5.5

Answers

Answer:

√9a2+16a2 = √25a2 = 5a

Step-by-step explanation:

Step-by-step explanation:solution given:

√(9a²=9a is your answer

Look at triangle STU:

A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 12 cm and the length of side TU is labeled as 16 cm.
What is the length (in centimeters) of side SU of the triangle? (1 point)

Question 9 options:

1) 20

2) 22

3) 24
Help

4) 28

Answers

Answer:

1) 20

Step-by-step explanation:

I drew a diagram of the triangle described below.

Note that we can use the Pythagorean Theorem, which states a^2 + b^2 = c^2 where a and b are the legs of the triangle and c is the hypotenuse.

We can apply this here. Since ST and TU are the legs and SU is the hypotenuse we can solve for SU:

SU = square root (12^2 + 16^2) = square root (400) = 20

I hope this helps! :)

simplify
[tex]( \sqrt{5} )( \sqrt[3]{5} )[/tex]
a. 5 5/6
b. 5 1/6
c. 5 2/3
d. 5 7/6​

Answers

Answer:

[tex]A.5^{\frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\(\sqrt{5})(\sqrt[3]{5})\\To\ simplify\ the\ given\ expression\ we\ may\ use\ the\ following\ two\\ 'Laws\ Of\ Exponents'.\\1.\sqrt[n]{a}=a^{\frac{1}{n}}\\2.m^a*m^b=m^{(a+b)}\\With\ these\ two\ equations\ we\ can\ proceed\ with\ our\ problem:\\Hence\ following\ Law\ 1,\\\sqrt{5}=5^{\frac{1}{2}} \\\sqrt[3]{5}=5^{\frac{1}{3}}\\Hence,\\\sqrt{5}*\sqrt[3]{5}=5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Hence,\\5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Now,\ by\ using\ Law\ 2,\\[/tex]

[tex]5^{(\frac{1}{2}+\frac{1}{3})}\\=5^{(\frac{3+2}{6})}\\=5^{\frac{5}{6}}\\[/tex]

What is the value of x?​

Answers

Answer:

1 is the value of x

Step-by-step explanation:

...............

How many games did Vernon download in March?

Answers

Answer:

None

Step-by-step explanation:

because Vernon has no friends to play them with

Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hours. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. Which expressions represent the total weekly wages of both Rita and Tina?
Rita and Tina's total weekly wages can be represented as
,
, or
.

Answers

Answer:

11(t+r)+35

Step-by-step explanation:

they make 11 dollars an hour so you have to multiply 11 by t hour an r hours. then only one of them worked overtime so you add 35.

Answer:

See image

Step-by-step explanation:

Plato

Other Questions
I will give brainliest if the measures of m DNA is duplicated during a process called Please help me 20 points!!!!! whats the height of the triangle Which statement best completes the diagram? Please help asap (IMPORTANT) I need help with spanish grammar 2 mi = ____ ft Please help! :(( write an equivalent expression using exponents abaab identifying angles As ice cream melts, the particles in it will _____ which causes it to ____ thermal energy.a. Speed up, loseb. Speed up, gainc. Slow down, losed. Slow down gainThere isn't a subject for science so I put it as chemistry Indica si lo que las oraciones es cierto o falso segn la informacin que Julin da en la entrevista how do i right the half of x pls help will give brainliesst answer Carol observes that all of the juniors are taking physics this year. She concludes that when she is a junior, she will take physics for her science class. What kind of reasoning is Carol using to from her conjecture?A.) Deductive Reasoning B.) Inductive Reasoning As CO2 concentration increases in this graph, how is average global temperature affected? How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches. How did Napoleon spread the seeds of the French Revolution across Europe and Russia Sharad went to his friend's place on a motorcycle. When he started, the reading was 19,235 km. When he reached his friend's place it was 19,301 km. How many km did sharad travel ? answer this, please !!! Ellen needs to make b batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $4. Pick all the expressions that represent how much Ellen will spend on blueberries.