F(n)=4n
g(n)=n2+2n
find f(g(-6))

Answers

Answer 1

Answer:

When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.

Step-by-step explanation:

To evaluate f(g(-6)), first find g(-6).

g(n) = n² + 2n

Substitute value.

g(-6) = (-6)² + 2(-6)

Square -6. Remember that (-x)² = x²

g(-6) = 36 + 2(-6)

Multiply 2 and -6.

g(-6) = 36 - 12

Subtract 12 from 36.

g(-6) = 24.

Now knowing this, substitute that value into f(n).

f(g(-6)) = f(24)

f(n) = 4n

Substitute value.

f(24) = 4(24)

Multiply 4 and 24.

f(24) = 96.


Related Questions

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

N

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

Pleease please please help me! asap <3 30 points! pls make sure its right UwU thx im timed :(


The function f(x)is shown in the graph.

What is the equation for f(x)?



Enter your answer in the box.

f(x) =

Answers

Answer:

f(x) = -x -1

Step-by-step explanation:

f(x) = mx + b

find 2 points on the line:

A( -1 , 0)

B( 0 , -1)

Put them in the equation and fine m & b:

0=m(-1)+b

-1=m(0)+b

so b= -1

and m= -1

so f(x) = -x-1

Answer:

-x - 1

Step-by-step explanation:

line is passing through (-1, 0) (0, -1)

m = (-1 - 0) / (0 - (-1) )

= -1 / 1

= -1

line equation = y - y1 = m (x - x1)

y - 0 = -1 (x - (-1) )

y = -1 (x + 1)

y = -x - 1

y = f(x)

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x =  [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

This is an isosceles triangle, so the missing side is also 3

x = [tex]\sqrt{3^2 + 3^2}[/tex]

  = [tex]\sqrt{9+9}[/tex]

  = [tex]\sqrt{18}[/tex]

Simplify [tex]\sqrt{18}[/tex]:

18 = 2 x 3 x 3

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

-Chetan K

What is (-i)^3
A. -i
B. i
C. -1
D.1

Answers

Answer:

i

Step-by-step explanation:

=> -i³

=> (-1 . i )³

=> -1³ . i³

=> -1 [ i² . i ]

=> -1 [ (√-1)² . i ]

=> -1 [ -1 . i ]

=> i

Answer:

B: i

Step-by-step explanation:

Algebric explanation: as long as you remember power rules you should be good:

[tex](-i)^3 = (-1)^3\times i^3 = -1 \times i^2\times i= (-1)\times(-1)\times i=1i[/tex]

Geometric explanation: In the complex plane you can think "multiplying by i" as "rotate 1/4 counterclockwise". [tex](-1)^3[/tex] is a real number, and it's simply [tex]-1[/tex]. Rotate that ccw once, you're at [tex]-i[/tex]. Again, and you're at 1. third time (is really the charm!) you end up at [tex]i[/tex].

Polar explanation Courtesy of euler's identity.

[tex](-i)^3 = (e^{-\frac{\pi}2i})^3=e^{-\frac32\pi i}= cos (-\frac32\pi)+isin(-\frac32\pi) = 0+i(1)= i[/tex]

or Solve this system of equations by graphing. First graph the equations, and then type the solution. y= 7/4 x–3 y=x

Answers

Answer:

[tex]y = \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y = - 3 \\ - \frac{3}{4} y = - 3 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 = x[/tex]

Find the equation of the line perpendicular to [tex]-\frac{1}{2} x[/tex] and passing through the point (−6; 1).

Answers

The slope is 2x
Y-1=2(x+6)
Y=2x+13 is the answer

⦿ Hi There! ⦿

Point-Slope form:

y-y1=m(x-x1)

y-1=m(x-(-6)

Perpendicular lines have slopes that are opposite reciprocals.

It means that if we have -1/2, we flop it over and make it positive.

So the slope of the new line is 2.

y-y1=m(x-x1)

y-1=2(x-(-6)

y-1=2(x+6)

y=1=2x+12

y=2x+12-1

y=2x+11

Hope it helps!

~Just a cheerful gal

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]

A polygon is shown on the graph:

If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

Answers

Answer:

4 units left : subtract 4 from each x coordinate  

3 units down : subtract 3 from each y coordinate  

Step-by-step explanation:

Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.

Answers

The trinomial for the rectangular rug is 3x² + 5x - 2

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

A trinomial is a polynomial with three terms.

The area of a rectangle = length * width

Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2

Area of rectangle = 3x² + 5x - 2

The trinomial for the rectangular rug is 3x² + 5x - 2

Find out more at: https://brainly.com/question/18563587

In 1903, the Wright brothers flew their first airplane. Sixty-six years later, a man walked on the moon. In which year did a man walk on the moon?
A. 1966
B. 1969
C. 1837
D. 1970

Answers

B. 1969

Step-by-step explanation:

Hope it helped you! :) (Please correct me if I'm wrong.)

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f (x) = StartFraction 2 x Superscript m Baseline Over x a EndFraction a = –1, m = 0 a = 1, m = 0 a = –1, m = 1 a = 1, m = 1.

Answers

Answer:

C. a= -1, m=1

Step-by-step explanation:

hope i helped, have a great day :)

For the function f(x) = [tex]\frac{2x^m}{ x + a}[/tex], if the horizontal asymptote is at y = 2 and vertical asymptote is at x = 1, then a = -1 and m = 1.

What are Asymptotes of a Function?

There are asymptotes like horizontal, vertical and oblique asymptotes.

Horizontal asymptote is the value of the function f(x) as x goes to ±∞, as long as this value is not infinity.

Vertical asymptotes are the values of x which are not in the domain of the function f(x). For a fractional expression it is found by letting the denominator equals zero.

The given function is,

f(x) =  [tex]\frac{2x^m}{ x + a}[/tex]

Horizontal asymptote of this function is at y = 2.

lim x → ∞ f(x) = 2

lim x → ∞  [tex]\frac{2x^m}{ x + a}[/tex] = 2

Eliminate 'a' in the denominator, because as x tends to infinity a + x also tends to infinity.

lim x → ∞  [tex]\frac{2x^m}{ x }[/tex] = 2

For the left hand side to become 2, [tex]x^m[/tex] in the numerator and x in the denominator should get cancelled.

⇒ [tex]x^m[/tex] = [tex]x[/tex]

⇒ m = 1

Vertical asymptote of the function is at x = 1.

Let x + a = 0

⇒ 1 + a = 0

⇒ a = -1

Hence we get the values a = -1 and m = 1 for the function f(x) =  [tex]\frac{2x^m}{ x + a}[/tex] to have the horizontal asymptote at y = 2 and vertical asymptote at x = 1.

To learn more on Asymptotes, click :

https://brainly.com/question/4084552

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PLS LOOK AT IMAGE . ACCURATE ANSWER=BRAINLIST


Jennifer's bank account is modeled by the following equation where x equals the number of weeks and f(x) equals the total balance.

f(x)=12x+45
William's bank account balances after weekly deposits are showing in the following table.


Part 1:How much money was in Jennifer's account when it was opened? Explain.

Part 2; After 10 weeks, how much money would William have in his bank account? To earn full credit, show your work.

Part 3: ennifer claims that her bank account is growing at a greater rate of change than William's bank account. Is Jennifer correct? Justify your reasoning.

Answers

Part one:

$45 as 45 is the y-value, which means that adding zero to her bank account still leaves 45 dollars

In mathematical terms:

f(x) = 12(0) + 45

f(x) = 45

Part two:

William adds $14 per week to his bank account

This means the equation for this is, where g(x) is the amount of money in his bank account and x is the week

g(x) = 14x + 30

So just plug in 10 for x

g(x) = 14(10) + 30

$170 dollars

Part 3:

No, she is wrong. Yes, William started out with a lower amount of money in his bank account (by ten dollars), but his deposit amount per week is two dollars more than hers. At some point (which I calculated to be after 7.5 weeks, use substitution for the equation for that), he will surpass her bank account amount and will earn more than her at a greater rate.

PLEASE HELP QUICK!!

what is the slope of this line?

Answers

I think it might be D

Positive 3. Take a point (1,2), (2,5) and take the formula y2-y1/ x2-x1. 3/1 is slope.

is x to the second power plus y to the second power linear or non linear?

Answers

Answer:

No, but the reason depends. Pick the one that applies to the question.

Are we talking function in two variables, ie [tex]z=f(x,y) = x^2+y^2[/tex] : in this case no, the surface you generate is a paraboloid - think the satellite dishes you use for telecomunications. not linear anyways.

Are we talking about [tex]x^2+y^2=0[/tex]? This has only one solution, which is the origin (0;0). in fact if you solve for either of the two you will get [tex]x^2=-y^2[/tex]. Now LHS is greater or equal than zero, RHS is lesser or equal than zero - the whole thing is true only if they are both 0. But still, not linear.

Are we talking about [tex]x^2+y^2 = r[/tex] with [tex]r>0[/tex] (since if it was we would be again at an absurd, something clearly non-negative is equal to a negative number)? Again, non linear, they are circles of radius [tex]\sqrt r[/tex] centered on the origin.

Find the value of y. Only type the "number."

Answers

Y = 5

The triangle is a right triangle so use the Pythagorean theorem:

Y = sqrt(3^2 + 4^)

Y = sqrt(9 + 16)

Y = sqrt(25)

Y = 5

Which two integers is square root 44 between?

Answers

Answer:6 and 7

Step-by-step explanation:

6 and 7

6 squared is 36

7 squared is 49

What is -3m + 5m = -14? With work provided

Answers

Answer:

-7

Step-by-step explanation:

-3m+5m=-14

2m=-14

divide both sides by 2

m=-7

Answer:-3+5m is -8m

Step-by-step explanation: Because the 3 is negative and it is plus

in the difference in altitude between 2,993 feet on a mountain peak and −428 feet on a valley floor

what is the difference in altitude per feet

Answers

Is it 0 percent in feet

Which of the following is the slope in the function f(x) = 5x - 2?

Answers

Answer:

5/1

or 5x

is the slope

brainliest please :)

Man’s s svsuksksnsmsmsmsnsb

F(x)=-x^2-12 to find (-3)

Answers

Answer:

[tex]{ \boxed{ \mathfrak{ \: answer : \: { \rm{f( - 3) = - 21}} }}}[/tex]

Step-by-step explanation:

[tex]{ \rm{f(x) = - {x}^{2} - 12 }}[/tex]

• When x is -3:

[tex]{ \rm{f( - 3) = - {( - 3)}^{2} - 12}} \\ \\ { \rm{f( - 3) = - 9 - 12}} \\ \\ { \rm{f( - 3) = - 21}}[/tex]

PLZ HELP 500 POINTS. PLZ SHOW YOUR WORK + BRAINLIEST
Miguel's mother sells houses. She wants to buy a piece of land on which to build several houses. there are two lots for sale. one is a rectangular plot that is 3/8 of a mile by 2/3 of a mile. the other is a square plot that is 2/5 of a mile by 2/5 of a mile.

Part A
Which lot should Miguel's mother buy if she wants the biggest lot?

Part B
If the land in the area sells for 750,000 a square mile, how much should she expect to pay?

Answers

Answer:

A) She should buy the

Step-by-step explanation:

Part A:

For question A, we find the areas of both plots and see which one is greater.

For the first one, we do 3/8 * 2/3

[tex]\frac{3}{8} * \frac{2}{3} = \frac{6}{24} = \frac{1}{4}[/tex]

The area of the first plot is 1/4 square miles

For the second one, we do 2/5 * 2/5

[tex]\frac{2}{5} *\frac{2}{5} = \frac{4}{25}[/tex]

The area of the second plot is 4/25 square miles

We have 1/4 and 4/25.

To see which one is bigger, we make them have the same denominator, also known as the LCM (Least Common Multiple).

LCM(4,25) = 100

Now we make 1/4 have a denominator of 100

4 times what is 100?

25, so the numerator is 25 and the denominator is 100.

We get: 25/100

Now we make 4/25 have a denominator of 100

25 times what is 100?

4, so the numerator is 4 * 4 = 16 and the denominator is 100.

We get: 16/100

Now we can see which is bigger:

25/100 or 16/100

25/100 is bigger

Therefore, Miguel's mother should buy the plot with dimensions 3/8 and 2/3.

Part B

For part B, I'm not sure which plot of land she is going to pay for, so I will answer both.

We answered this in Part A already.

The 3/8 and 2/3 plot was 1/4 square miles and the 2/5 by 2/5 plot was 4/25 square miles.

Plot 1:

1/4 square miles

It said that it costs $750,000 for a square mile

This plot is 1/4 square miles, so we do

[tex]$750,000 * \frac{1}{4} = \frac{750,000}{4} = 187,500[/tex]

The cost for plot 1 is $187,500

Plot 2:

4/25 square miles

It said that it costs $750,000 for a square mile

This plot is 4/25 square miles, so we do

[tex]750,000*\frac{4}{25} = \frac{3,000,000}{25} = 120,000[/tex]

The cost for plot 1 is $120,000

So for the 3/8 by 2/3 plot, it cost $187,500 and for the 2/5 by 2/5 plot costs $120,000

ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘᴇᴅ!

ʜᴀᴠᴇ ᴀ ɴɪᴄᴇ ᴅᴀʏ!

Jordan can clean 57 houses a week. Taylor can clean 27 houses in 3 days. If they work together, how many days

do they need to clean 125 houses? ROUND UP THE FULL DAY.

Answers

7.29 but if you have to round up, 8 days

The price of an Item has been reduced by $5.09. The new sale price is $41.03. What was the original price?

Answers

Answer:

the original price was $46.12

Step-by-step explanation:

if you add 5 back to that number.

Which of the following is most likely the next step in the series?

Answers

Answer:

C, because each time, the number of purple dots, or vertices increases by one..

2, 3, 4, ?..

the next would be five, which is C.

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

each shape has one more vertici (the purple dots) than the previous one, so then the pattern would be 2, 3, 4, .....? so the next one would be 5 which is C

if 3 people can build 12 sheds in 4 days, how long will it take for 5 people to build 15 sheds?

Answers

The amount of time it would take for 5 people to build 15 sheds is; 3 days.

Since, according to the question;

3 people can build 12 sheds in 4 days.

In essence; By proportion 1 person can build 4sheds in four days.

We are required to determine how long it will take 5 people to build 15 sheds.

Therefore: for 1 person;

4 sheds ====4 days

15 sheds ====15days.

Therefore, it takes 1 person 15 days to build 15 sheds.

Ultimately, when the job is divided between 5 people; It takes 15/5 = 3 days to build 15 sheds.

Read more:

httpss://brainly.com/question/23459360

Is Scrooge a static or dynamic character? Explain your answer with examples from the story. Please be sure you do not use your book; only give examples from what you remember. Write at least three sentences.

Answers

Answer:

do u need help?

...uhmm...ok i will help u.....i-if t-thts o-ok with y-you i-guess

help algebra 2 please

Answers

yung may dalawang one true answer promise

Answer:

Step-by-step explanation:

g(x) = -x² - x - 1 = -1(x² +x + 1)

[tex](\dfrac{f}{g})(x) =\dfrac{x^{2}+x+1}{(-1)(x^{2}+x+1}\\\\=\dfrac{1}{-1} = -1[/tex]

Seven times the sum of a number and 1 is 28. What is the number? Enter your answer in the box.

Answers

Answer:

3 + 1 * 7 = 28 I don't know if that's what you want but

Answer:

The answer is 3

Step-by-step explanation:

Ok so basicaly the equation is 7(x+1)=28

there really is no hard math involved. I did it pretty quick in my head.

28/7=4

4-1 = 3

so ya  

What is the slope for (-6,4) and (2,12)

Answers

Answer:

1

Step-by-step explanation:

(-6,4) and (2,12)

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

= 12 - 4 / 2 - (-6)

= 8/8

= 1

Write the phrase as an expression. Then evaluate when x=5 .

the sum of a number x and 4, all divided by 3

Expression:

When x=5, the value of the expression is :

Answers

Answer:

[tex]\frac{x+4}{3}[/tex] ; 3

Step-by-step explanation:

In this question, we're being asked to write an equation using the word format. Let's find key words in the statement.

The sum of a number x and 4, all divided by 3.

Looking at the wording, we can conclude that we are adding x and 4, and dividing that by 3. So here's how the phrase would look as an expression.

[tex]\frac{1}{3}[/tex] (x+4) or [tex]\frac{x+4}{3}[/tex]

Now, there's another part to this problem. We must evaluate the value of the expression if x is given to be 5. So let's plug it into our equations.

(5)+4

   3

    [tex]\frac{9}{3}[/tex]

9/3 gives you 3, so your answer would be 3.

Let me know if you see any errors or have any further questions, otherwise, I hope this helped! :)

Can someone please give me the (Answers) to this? ... please ...



I dentify the idlowing pairs. of angles.



1.<1 and <4

2.<1 and <5

3. <2 and <8

4.<4 and <5

5. <3 and <5

6.<3 and <6

7.<2 and <6

8.<1 and <8 /
/
<————-1——2—————>
3 / 4
5 / 6
<————————————>
7 / 8
/

Answers

                  1  / 2

<————---———————>

              3 / 4

            5 / 6

<————————————>

       7 / 8

ANGLE TYPES: Vertical, Adjacent, Linear, Complementary, Supplementary, Co-Interior, Alternate Interior, Alternate Exterior, Corresponding,

ANSWERS:

1. Vertical

2. Corresponding

3. Supplementary

4. Alternate Interior

5. Co-Interior

6. Alternate Interior

7. Corresponding

8. Alternate Exterior

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