If f(x) = 3x3+ 6x2+ 12x and g(x) = x2, what is the product of f(x) and g(x)?
A) 3x3+ 7x2+ 12x
B) 3x6+ 6x4+ 12x2
C) 6x3+ 12x2+ 24x
D) 3x5+ 6x4+ 12x3

Answers

Answer 1

Answer:

[tex]3x^5+6x^4+12x^3[/tex]

Step-by-step explanation:

Given that,

[tex]f(x) = 3x^3+ 6x^2+ 12x[/tex]

and

[tex]g(x)=x^2[/tex]

We need to find the product of f(x) and g(x). SO,

[tex]f(x)\times g(x)=(3x^3+ 6x^2+ 12x)\times (x^2)\\\\=3x^3\times x^2+6x^2\times x^2+12x\times x^2\\\\=3x^5+6x^4+12x^3[/tex]

Hence, the correct option is (d).


Related Questions

Enter the value of w so the expression -5 +0.6W is equivalent to w (2.5 – 0.3w)​

Answers

9514 1404 393

Answer:

  w = -2 or 8 1/3

Step-by-step explanation:

Setting the two expressions equal makes a quadratic equation:

  -5 +0.6w = w(2.5 -0.3w)

  0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression

  3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients

  (3w -25)(w +2) = 0 . . . . . . . factor

We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.

  3w -25 = 0   ⇒   w = 25/3 = 8 1/3

  w +2 = 0   ⇒   w = -2

The values of w that make the two expressions equivalent are -2 and 8 1/3.

anybody!? I need help

Answers

Answer: D

Step-by-step explanation:

The greater number
Is 0.098% greater than 7 1/3

Answers

Answer:

the greater number is 7 1/3.

The scale of floor plan is 1:250. Find the measurements in metres if 40 mm is drown on the plan​

Answers

Given:

The scale is 1:250.

To find:

The measurements in metres if 40 mm is drown on the plan​.

Solution:

The scale is 1:250. It means,

1 mm of the drawing = 250 mm of original length

40 mm of the drawing = 40×250 mm of original length

40 mm of the drawing = 10000 mm of original length

We know that,

1000 mm = 1 m

1 mm = 0.001 m

10000 mm = 10000×0.001 m

10000 mm = 10 m

Therefore, the measurement is 10 metres if 40 mm is drown on the plan​.

Find the indicated function values

Answers

Answer:

f(-4) = 6

f(0) = -6

f(1) = -4

Step-by-step explanation:

help me lol ........................

Answers

Answer:

A could be a possible answer actually

Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are not factors of 42

Answers

Answer:

5, 25, 28, 35, 56, 75 80 are not the factors of 42

3/5x2/3 Help pls thank you

Answers

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} *\frac{2}{3}\\=\frac{3*2}{5*3}[/tex]

The 3 in the numerator and the 3 in the denominator cancel out

[tex]= \frac{2}{5}[/tex]

I hope this helps!

A sample of 100 cars driving on a freeway during a morning commute was drawn, and the number of occupants in each car was recorded. The results were as follows: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Occupants 1 2 3 4 5 Number of Cars 64 19 12 3 2 Find the sample median number of occupants.

Answers

Answer:

The sample median number of occupants is 1.

Step-by-step explanation:

Median:

The measure that separates the lower half of the distribution from the upper half.

In this question:

Total of 100 cars.

64 have 1 occupant.

19 have 2 occupants

12 have 3 occupants

3 have 4 occupants

2 have 5 occupants.

Median:

In the cumulative distribution

100/2 = 50

While we count until 64, it has 1 occupant, so 50 is one occupant, which means that the sample median is 1.

The sample median number of occupants is 1.

Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner.

1.Write a system of equations that could be used to solve the problem. Define your variables.


2.Solve by any algebraic method (elimination/substitution). Work must be shown! How many people will choose a salad?

Answers

Answer:

3

Step-by-step explanation:

edge

Answer:

C. 3

Explanation:

edge 2020

Question 4
Which of the following describes an equilateral triangle? Mark ALL that apply.
All angles are the same degree measure.
All sides are the same length.
Each angle measures 60°.
No sides are equal in length.
Each angle is a different measure.
Question 5

Answers

Answer:

A, B, & C

Step-by-step explanation:

An equilateral triangle is one that has (A) all equivalent angle measures & (B) all the sides are the same length.

since a triangle is equal to 180º, & since there are 3 angles in a triangle: (C) each angle measures 60º.

Hope this helps! Have a great day!

If Mario drives at a rate of 70 miles per hour, how long will it take him to drive 700 miles?

Answers

Answer:

dam mario u trying get a speeding ticket

bu the answer is 10 if im not mistaken

Step-by-step explanation:

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

Oh okie so I can see you in church ⛪️ and then I

Answer:

30

Step-by-step explanation:

Write an equation that is equivalent to 1/4 plus 1 plus 3/4 minus 2/3 minus 1/2

Answers

Answer:1/4 + 1/4 = 1/2 = 0.5

pleasee helpp meeee with this problemmmm

Answers

Answer:

C

Step-by-step explanation:

Answer:

I'm going to say B

Step-by-step explanation:

I hope this helps! If right may I please have brainliest? :)

The lengths of the sides of a triangle are in the extended ratio 4 : 5 : 8. The perimeter of the triangle is 85 centimeters. Find the length of the shortest side.​

Answers

Answer:

the answer is 20

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]105km[/tex]

Step-by-step explanation:

It is given that; ([tex]2.5cm : 15km[/tex]) is the proportion by which distances are scaled down on a map. One can use this to make a proportion and solve to find how many ([tex]km[/tex]) would represent ([tex]17.5cm[/tex]). ([tex]x[/tex]) will represent the unknown or the number of ([tex]km[/tex]) that one has to solve for.

[tex]2.5 : 15 = 17.5 : x[/tex]

Cross products,

[tex]262.5 = 2.5x[/tex]

Inverse operations,

[tex]262.5 = 2.5x\\/2.5\\\\105 = x[/tex]

What is the number?
Help me

Answers

It is 238 that is not the answer so yea

the profits from eds plumbing company increased by 14,460, or 30% this year. what profit did the company esrn last year?​

Answers

the company earned a profit of $48,200 last year.

~ hope this helps!

The profit of plumbing company from eds earn last year, 48200  

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The profits from eds plumbing company increased by 14,460, or 30% this year

The profit company earned last year = ?​

Suppose, last years profit = X

New profit = X + 0.30X  = X + 14460

   0.30X  =   14460

           X  =  48200

Hence, the last years profit is 48200  

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ5

Estimate the sum or difference 6/10+7/12

Answers

Step-by-step explanation:

in decimal format I got 1.183

the three is repeating

Consider randomly selecting a student who is among the 12,000 registered for the current semester in a college. Let X be the number of courses the selected student is taking, and suppose that X has the following probability distribution: x 1 2 3 4 5 6 7 f(x) 0.01 0.02 0.12 0.25 0.42 0.16 0.02 a. Find the cdf of X. b. Find the expected number of courses a student is taking this semester. c. Find the variance of X. d. Find the third quartile of this distribution.

Answers

Answer:

a)

[tex]P(X \leq 1) = 0.01[/tex]

[tex]P(X \leq 2) = 0.03[/tex]

[tex]P(X \leq 3) = 0.15[/tex]

[tex]P(X \leq 4) = 0.40[/tex]

[tex]P(X \leq 5) = 0.82[/tex]

[tex]P(X \leq 6) = 0.98[/tex]

[tex]P(X \leq 7) = 1[/tex]

b)

4.61

c) 1.1579

d) 5 is the third quartile of this distribution.

Step-by-step explanation:

We are given the following discrete distribution:

[tex]P(X = 1) = 0.01[/tex]

[tex]P(X = 2) = 0.02[/tex]

[tex]P(X = 3) = 0.12[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.42[/tex]

[tex]P(X = 6) = 0.16[/tex]

[tex]P(X = 7) = 0.02[/tex]

a. Find the cdf of X.

Probability of X being less of equal to x. Than

[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]

[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]

[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]

[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]

[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]

[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]

[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]

b. Find the expected number of courses a student is taking this semester.

Multiplication of every outcome by its probability.

[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]

c. Find the variance of X.

Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So

[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]

d. Find the third quartile of this distribution.

100*(3/4) = 75th percentile

The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.

Question 1 (1 point)
If three shares of TSLA cost $2400, how much would 8 shares cost?

a
$6400
b
$1100
c
$5400
d
$3200
Question 2 (1 point)
If twenty shares of GME cost $800, how many shares could I buy with $120?

a
16
b
3
c
4
d
1600
Question 3 (1 point)
If 8 shares of BB cost $72, how many shares could I buy with $810?

a
90
b
738
c
72
d
730
Question 4 (1 point)
If fifteen pencils cost $5, how much would 9 pencils cost?

a
$45
b
$3
c
$2
d
$14
Question 5 (1 point)
If four shares of AAPL cost $480, how many shares could I buy with $3600?

a
30
b
40
c
36
d
48
Can someone help be with those this is worth 100 points

Answers

Answer:

A

Step-by-step explanation:

2400/3= 800 800x8= 6400

Hdhdhhdyyxydhhdurhrhfvf fbbdbcbxhxhx f dhfbdbdhjfjf

The total cost of 4 starfish was $7.20. Write and solve an equation to find how much one starfish cost.

Answers

Answer:

$1.80

Step-by-step explanation:

4x = 7.20

x = 1.80

Miles : 3/5
Hours : 1/3
_____ miles in 1 hour

Answers

Answer:

9/5 miles in 1 hour

Step-by-step explanation:

As we are finding here the miles distance in 1 hour so we have to use here the formula which is

Rate = Distance / Time

Rate = 3/5 divided by 1/3

SO using third proportion rule we have to change the Numerator of second fraction with denominator and denominator with numerator  and division sign will be change into Multiplication so this one will be

3/5 x 3/1

9/5 will be the answer

One-Third The Difference Between 2/3 And 1/2​

Answers

Answer:

1/18

Step-by-step explanation:

2/3-1/2=1/6

1/3 x 1/6=1/18

What’s the value of u , help please

Answers

Step-by-step explanation:

u-42+u-43+u-44=180

3u -129 = 180

3u = 309

u = 103

What is the value of x?
60°
/700
x
0 130
O 110
60
050

Answers

Answer: 50

If I’m right :)

The list below shows all of the possible outcomes for flipping four coins.

Answers

Answer:

Each one has two possibilites, so the total is 2*2*2*2 = 16

Step-by-step explanation:

TTTT

TTTH

TTHT

TTHH

THTT

THTH

THHT

THHH

HTTT

HTTH

HTHT

HTHH

HHTT

HHTH

HHHT

HHHH

If you eliminate the duplicates, ie, the coins are identical, you get 4

TTTT

TTTH

TTHH

THHH

HHHH

can you please help me with this question?​

Answers

Answer:

I have made it in above picture

hope it helps

ABC
180 - 28 = x

DEF
180 - 25 - 20


What is the scale factor between 4 cm and 10 cm?
B:10 cm
A:4 cm

Answers

Answer: B

Step-by-step explanation:

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one. The ratio of any two corresponding lengths in two similar. geometric figures.  Corresponding Angles: Angles in matching locations of two shapes

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