Perform the indicated operation
g(x)=x^3+5x and f(x)=2x-2
Find (g o f)(x)

Answers

Answer 1

Answer:

  g(f(x)) = 8x^3-24x^2+34x-18

Step-by-step explanation:

The composition is ...

  [tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]


Related Questions

Match the vocabulary word with the correct definition,
1. coefficient
a number, a variable, or the product
of a number and variable(s)
a letter used to represent an
unknown number
The number in front of a variable in
2. constant
3. term
a term
a single term, multiple terms
connected by an addition or subtraction
sign
a number, a term containing no
4. variable
5. expression
variables
TURNITIN
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Answers

Answer:

Definitions matched below with vocabulary words

Step-by-step explanation:

A number, a variable, or the product of a number and variable(s)

→ 3. term

A letter used to represent an unknown number

→ 4. variable

The number in front of a variable in a term

→ 1. coefficient  

A single term, multiple terms connected by an addition or subtraction sign

→ 5. expression

A number, a term containing no variables

→ 2. constant

If f(x) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).
A. (f- g)(x) = -7x - 3
B. (f- g)(x) = x - 3
C. (f - g)(x) = -7x + 3
D. (f- g)(x) = x - 7

Answers

Answer:

  A.  (f-g)(x) = -7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

  = -3x -5 -4x +2

  = -3x -4x -5 +2

  (f -g)(x) = -7x -3

what is 400X600+1200=

Answers

Answer: 241,200

just multiply and add hope this helps

Answer:

24,1200

Step-by-step explanation:

400x600=24,000

Then let's add 24,000+1,200 which is 24,1200.

What is 1+1 because it's obvious that it's 3!!! Duh!!! So hehe

Answers

Answer:

IT'S TWOOOOOOOOOOOOOOOO 222222222222222

Hey can yall help me asap

Answers

Answer:

4 pieces of fruit

Step-by-step explanation:

48 divided by 12 = 4

28 divided by 7 = 4

PLEASE HELP SOMONE.
Suppose you invest $5000 into an account the earns 2% interest compounded quarterly. How much money will you have after 30 years? Use the formula .
Group of answer choices

Answers

Answer:

So here is the answer to your question by using the formulae of compound amount.

Initial price( P) = $5000

Interest rate( R) = 2% pa

Time ( T) = 30 years

Compound amount (CA)=?

We have

CA=P(1+R/100)^T

=5000(1+2/100)^30

=$9056.807921

=$9057(Approx)

Thus, the money will be $9057 after 30 years.

Which is a central idea of the Railroad that changed america?

Answers

In the 1850s, the U.S government began encouraging Americans to head west to claim some of the country’s vas open areas. Pioneers were lured with the promise of owning their own land. But the trip could take months—if they survived it at all. Horse-drawn wagons were constantly at risk of breaking down in parched deserts, on barren plains, or in treacherous mountain passes. “Nothing but actual experience will give one an idea of the . . . exhaustive energy, the throbs of hope, the depths of despair, through which we lived,” on pioneer wrote.

Isaiah is saving 12$ per week from his allowance. after 20 weeks, Isaiah has 240$

Answers

Answer: He saved $12 per week

Step-by-step explanation:

I am confused you basically solved your own question but here is the explanation.

Isaiah gets $12 per week in his allowance, every two weeks he gets $24, so in twenty weeks he would have save $240. Here is an equation.

2W*10 = $240

W = weeks

2 weeks = $24*10 = $240

I hope this helps in anyway

Abby rode her bike for 1 and 3/4 hours on Saturday and 1 5/8 hours on Sunday what is the total amount of time she rode her bike on these two days ​

Answers

Answer:

3 3/8 hours

Step-by-step explanation:

Add 1 3/4 and 1 5/8 = 27/8 = 3 3/8

What is the total of 6, 4.25, and 7.74?

Answers

Answer:

17.99

Step-by-step explanation:

You answer will be 17.99

Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2

Answers

The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Given:

[tex]an = \frac{an - 1}{4} - 2[/tex]

where,

n = number of terms

First term, a1 = 2

Second term, a2

[tex]an = \frac{an - 1}{4} - 2[/tex]

a2 = {(2 - 1)/ 4} - 2

= 1/4 - 2

= (1-8) / 4

= - 7/4

Third term, a3

= {(3-1) / 4} - 2

= 2/4 - 2

= 1/2 - 2

= (1-4) / 2

= -3/2

Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2

Learn more about sequence:

https://brainly.com/question/6561461

Answer:

a1 = 2

a2 = -3/2

a3 = -19/8

Explanation:

a_n-1 means the last term.

So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2

It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8

The sales tax on a surfboard is $12 what is the percent of sales tax?

Answers

The percent of the sales tax would be 5%.



find the values of x and y ????

show step plz​

Answers

Answer:

x= 90 degrees

y= 47 degrees

Step-by-step explanation:

Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.

So with this information, you know that the angle at the bottom left is also 47 degrees.

x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).

A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.

90+47+y=180

y= 43

[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]

First we can say [tex]x=90[/tex]°, since x is located at the right angle part.

Now we can make an equation

[tex]90+47+y=180[/tex]

subtract 137 from sides.

[tex]y=43[/tex]

_________________________________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

[tex]x=90[/tex]° [tex]y=43[/tex]°

_________________________________

6x7 is what i dont know what it is

Answers

Answer:

it's 42

Step-by-step explanation:

6 7's

6 12 28 24 30 36 42

Mr Jibril wants to fill a rectangular container measuring 8 m by 5 m by 2 m completely with gravel. Gravel costs $26 per cubic metre. He has only $1500. How much more money will Mr Jibril need to pay for the gravel?​

Answers

I should be any more points for this but 26 per cubic meter he only has 1500 but that’ an answer of 14,000 600 m³

Given the following triangle, what is the cos A?​

Answers

[tex]\text{Given that, for angle A}\\\\\text{Adjacent side, AB = 7}\\\\\text{Hypotenuse, AC = 25}[/tex]

[tex]\cos A = \dfrac{AB}{AC} = \dfrac{ 7}{25}[/tex]

4x + 3 = -9 slove the equation

Answers

Answer:

x = -3

Step-by-step explanation:

4x + 3 = -9=> 4x = -9 - 3=> 4x = -12=> x = -3

Conclusion:

Therefore, x = -3

Hoped this helped.

[tex]GeniusUser[/tex]

First person to answer CORRECTLY will get brainliest and extra points!!

Answers

Answer:

y=15

Step-by-step explanation:

Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2

Answers

Answer:

y=3/2 x+15

Step-by-step explanation:

The doctor told her patient that every day he needs
to consume more than 1800 but less than 1900 calories.
Write an inequality representing the possible amount of
calories the patient could cconsume.

Answers


The inequality is : 1800 < c < 1900

Which graph or graph shows a proportional relationship

Answers

Answer:

C) Graph A and Graph C

Step-by-step explanation:

A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.

Graph b does not show a straight line so B does not show a proportional relationship.

Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.

Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.

Thus, the answer is C) Graph A and Graph C

Omar's net pay is $2,160. Does he make enough money to make the monthly payments for this apartment?
Security Deposit $500
Application Fee
$10
First Month's Rent $550
Electricity
$25 connection fee: $40 per month
Telephone
approximately $36 per month; $40 to connect
Water
$26 per month; a deposit of $50
Yes
No

Answers

Answer:

Yes he does.  the total to all those numbers is 1277

Step-by-step explanation:

hlo math genius plz help no spam !!! (*°*°)
the area of a rectangle field 1800 m2 .If the ratio of length and breadth is 5:4, find itz perimeter​

Answers

Let

Length=5xBreadth=4x

ATQ

[tex]\\ \sf{:}\longrightarrow Area=1800[/tex]

[tex]\\ \sf{:}\longrightarrow Length(Breadth)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 5x(4x)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 20x^2=1800[/tex]

[tex]\\ \sf{:}\longrightarrow x^2=900[/tex]

[tex]\\ \sf{:}\longrightarrow x=30[/tex]

Length=L=5(30)=150mBreadth=B=4(30)=120m

[tex]\\ \sf{:}\longrightarrow Perimeter=2(L+B)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(150+120)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(270)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=540m[/tex]

what is 3/4÷2/1=
Explain how you got your answer​

Answers

Answer:

3/2

Step-by-step explanation:

Use the KCF method.

Keep the first fraction (3/4)

Change the sign (division to multiplication)

3/4*2/1=6/4 or 3/2

Answer:

[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]

Step-by-step explanation:

=[tex]\frac{3}{4*2}[/tex]

[tex]\frac{3}{8}[/tex]

Calculate 1.25 X (3)

Answers

Answer: 3.75 is your answer!

Step-by-step explanation: hope i helped my answer is 100% correct

3.75 this the answer man 3.75

Describe the end behavior of the function.


f(x)=3(1/5)^x-2

Answers

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

Answer:

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

Step-by-step explanation:

f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.

The -2 added to the exponential term moves the asymptote from y=0 to y=-2.

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY

Answers

Answer:

See image

Step-by-step explanation:

Use Pythagorean Theorem

a^2 + b^2 = c^2

See image

Calculate the value of 4321 (base 5) + 343 (base 5)​

Answers

In the "1s" place,

1₅ + 3₅ = 4

In the "5s" place,

2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11

In the "25s" place, we carry the leading 1 from the "5s" place,

3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12

In the "125s" place, we carry over the 1 again,

4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10

Putting everything together,

4321₅ + 343₅ = 10214₅

Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.



3(y - 2) = 3y - 6 PLZZZZZZ HELPPP

Answers

3(y - 2) = 3y - 6

3y - 6 = 3y - 6

3y - 3y = - 6 + 6

0 = 0

It has ∞ solutions.

0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.

_____

Hope it helps ⚜

Answer:

Infinitely Many Solutions

Step-by-step explanation:

3(y - 2) = 3y - 6

3y - 6 = 3y - 6      Distribute 3.

0 = 0                    Combine the like terms.

Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.

Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.

Solve for the value of A
SOMEONE PLEASE HELP ME ILL GIVE YOY BRAINLIST AND POINTS

Answers

(6a - 8) + 50 = 90

6a - 8 + 50 = 90

6a + 42 = 90

6a = 90 - 42

6a = 48

a = 48/6

•°• a = 8

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