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

What inequality is represented by this graph?
O X > 6 O X _< 6 O X<6 OX_>6

Answers

last option in the picture

Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 212 cups of chocolate chips. The total amount of chips and oats after doubling is 613 cups.

Write an equation to find the original amount of oats, x, in the recipe.

Answers

Answer:

y = 94.5 cups

Step-by-step explanation:

Let's say:

y = oatsx = chocolate chips = 212

=> Full Recipe = 212 + y

=> 2(Full Recipe) = 2(212 + y) = 613 cups

=> 2(Full Recipe) = 424 + 2y = 613 cups

=> 2y = 613 - 424

=> 2y = 189

=> y = 94.5

Therefore, the required oats to do double the recipe is 94.5 cups.

Hoped this helped.

[tex]GeniusUser[/tex]

Please answer this question.

Answers

Sequence A? Sorry if this is wrong!! Good luck!!

solve using substitution
x-10y=10
x= -10

Answers

-10 -10y = 10
+10 +10

-10y = 20

20/-10 = -2

Y = -2

Answer:

y = -2

Step-by-step explanation:

x - 10y = 10=> -10 - 10y = 10=> -10y = 10 + 10=> -10y = 20=> y = -2

Conclusion:

Therefore, y = -2.

Hoped this helped.

[tex]GeniusUser[/tex]

F(x)=log2(x+3)+5 what's the x and y int.

Answers

Answer:

x int (-3), y it. (5)

Step-by-step explanation:

x+3=0, just subtract 3 and x = 3

Number to the right of parenthesis is always y int. for this sort of problem

Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).

Answers

The solution of the given equation is (3,6). The correct option is B.(3,6)

Given equations,

[tex]y=x+3.......(1)\\4x+y=18.....(2)[/tex]

How to solve the equations?

putting the value of y from equation (1) in equation (2) , we get

[tex]4x+x+3=18\\[/tex][tex]5x=18-3\\5x=15\\x=3[/tex]

substitute the value of x=3 in equation (1) we get,

[tex]y=3+3\\y=6[/tex]

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

https://brainly.com/question/12895249

blueberries cost 4.00 per pound. how many of blueberries can you buy for 1.00

Answers

0 pounds of blueberries cost 4.00 per pound if we have 1:00$

Answer:

1/4 or .25

Step-by-step explanation:

You cross multiply which would give you 4x=1.

Kelly had one liter of soda she divided equally into 10 classes to share with her friends how much total did each friend get.: 1 Deciliter, 1 centiliter, or 1 milliliter???​

Answers

Answer:

1 decilitre  

Step-by-step explanation:

You can look up charts for these. Look up litre chart

blank % of $10 = $5


thank u for anyone who helps!!

Answers

Answer:

50%

Step-by-step explanation:

Because you don't know the percentage, you can do 5/10, and you will get 1/2, or 0.5. 1/2 is 50%, so the answer would be 50%

An airport parking lot has 2,800 spaces. if each row has 25 spaces, how many rows are there?

Answers

Answer: 112 rows

2800/25 spaces = 112 rows

A line has a y-intercept of 3 and a slope of -1 /8. What is its equation in slope-intercept form

Answers

Answer:

-1/8x+3

Step-by-step explanation:

Answer:

y = -1/8x+3

Step-by-step explanation

your slope intercept form should be written as y=mx+b

m = slope = -1/8

y intercept = b = 3

now just replace m and b with your values

y = -1/8x+3

Solve for j. 144j2 + 21 = 85

Answers

Answer:

2/3

Step-by-step explanation:

I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!

I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

v = l * w * h

v = x * 22 * 28

v = 616x

Which polynomial is prime? x4 3x2 â€"" x2 â€"" 3 x4 â€"" 3x2 â€"" x2 3 3x2 x â€"" 6x â€"" 2 3x2 x â€"" 6x 3.

Answers

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.

Check all the options in order to determine the given polynomial is prime or not.

A) [tex]x^4+3x^2-x^2-3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

B) [tex]x^4-3x^2-x^2+3[/tex]

Now, try to factorize the above polynomial.

[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

C) [tex]3x^2+x-6x-2[/tex]

Now, try to factorize the above polynomial.

[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]

The given polynomial is factorized further therefore, this polynomial is not a prime.

D)  [tex]3x^2+x-6x+3[/tex]

The given polynomial is not factorized further therefore, this polynomial is is a prime.

For more information, refer to the link given below:

https://brainly.com/question/17822016

What situation could be modeled with the equation of 40 devided by 8 equals 5

Answers

Answer:

Go to explanation

Step-by-step explanation:

You can say: At your birthday party, you have 7 friends who were there with you. There are 40 cookies to be shared with all of you, and you want it to be split equally. How many cookies does each person get?

Need help please please i need help thanks ​

Answers

Answer:

1) 6 balls

Step-by-step explanation:

x = number of balls Elsa can shoot

x + 6 = number of balls Anna can shoot

18 = number of balls together they can shoot

x + (x + 6) = 18

x + x + 6 = 18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 6

2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.

3)Let x & y be packets of [a] type & [b] type detergent sold

Then 9x +7y =180

Let us say x=7

Then 9*7+7y =180

7y =180–63 = 117

y =117/7=19.2 this will not do as it contains decimal not whole number

Say x=6

Then 9*6 +7y =180

7y=180–54 =126

y =126/7 =18 this is acceptable as it is whole number

Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php

4) 5,6,7 female piglets

5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.

4kg of rice - Php. 360.00

3kg of pork- Php. 390.00

1kg of rice is Php. 90.00

1kg of pork is Php. 130.00

Refer to attachment for solution ~

Sorry for late, I didn't have time for it !

21.6% of all registered doctors were female, if there were 45,200 females registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number

Answers

Answer:

209259

Step-by-step explanation:

45200 / 21.6 = 209259.259259

209259.259259 rounded to nearest whole number = 209259

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

Its 27

Step-by-step explanation:

28. Since they are equal you must find a number where both equations equal the same. That number was 2 and just solved it to get 28. This isn’t the easiest way to do it but it is always my first way to go.

10 is 20% of (blank)

Answers

Answer:

50

Step-by-step explanation:

There are 135 people in a sport centre.
73 people use the gym.
73 people use the swimming pool.
67 people use the track.
36 people use the gym and the pool.
35 people use the pool and the track.
32 people use the gym and the track.
14 people use all three facilities.
Given that a randomly selected person uses at least two facilities, what is the probability they use all the facilities?

Answers

Of 103 people that are considered to use two facilities, only 14 use all three. In this case, we must make a percentage of this information.

This is roughly 14.5%, meaning there is only a 14.5% chance someone will use all three facilities if they are known to use two.

The probability that a randomly selected person uses at least two facilities is 103/135 and the probability that the selected people uses all the three facilities is 14/103.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of people using the facilities are

73 people use the gym.

73 people use the swimming pool.

67 people use the track.

36 people use the gym and the pool.

35 people use the pool and the track.

32 people use the gym and the track.

14 people use all three facilities.

The total people using two facilities is = (36+32+35 ) = 103

Total number of people is 135

The probability that a randomly selected person uses at least two facilities is 103/135.

The probability that the selected people uses all the three facilities is 14/103.

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

What time is three to one in the morning

Answers

wdym like 2 or 12:58

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

Which one is greater 43/50 , 0.91 , 7/8 , 84%

Answers

Answer:

0.91

Step-by-step explanation:

43/50 = 0.86

7/8 = 0.875

84/100 = 0.84

Answer:

0.91

Step-by-step explanation:

.91 is already solved so there is nothing to do there.

Convert 43/50 by multiplying the top and bottom by 2 and you get 86/100, and when you convert that to its decimal, you get 0.86.

For 7/8, multiply the top and bottom by 125 and you get 875/1000. When you convert that, you get 0.875.

For 84 percent, just convert it to 0.84 and you are done.

Therefore, the biggest one is 0.91

I need this solved as c.l.t
6=n-2n

Answers

Answer:

n= -6

Step-by-step explanation:

equivalent expressions to 3/5x +3

Answers

Step-by-step explanation:

......3(x+5)/5......

Please help
I need to turn it in now

Answers

Answer:

Step-by-step explanation:

x=rcosθ=4 cos (-40)=4 cos 40≈3.064

y=r sin θ=4 sin (-40)=-4 sin 40≈-2.571

the vector is (3.064,-2.571)

Matthew is shrinking
a photograph picture
with an area of 8
square inches on the
computer. He plans
to reduce the area by
25%. What will be the
area in square inches
of the reduced
photograph?

Answers

The area of the reduced photograph is 7.45

A grocery store sells 25 crates of peaches for $125. How much does 1 crate cost?

Answers

Answer: One crate of peaches is $5

Step-by-step explanation:

All you do for this question is divide 125 by 25 gives us 5

Answer:

5

Step-by-step explanation:

Just decide 125 by 25 and get the answer :)

identify the coefficient in the term 7x^2y^3

Answers

The coefficient in the term 7x^2y^3 is  7

The term of the expression or equation is given as:

7x^2y^3

For an expression represented as 2x, the coefficient is 2.

Similarly, the coefficient in the term 7x^2y^3 would be 7

Hence, the coefficient in the term 7x^2y^3 is  7

Read more about terms and coefficients at:

https://brainly.com/question/13602562

Hey y’all, please help me

Answers

Hey the answer is c because i need points and idc
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