8. Which of the following correctly multiplies f(x) x g(x) if f(x) = 3x-1 and g(x) = 2x + 1?
A) f(x) x g(x) = 6x2 + x + 1
B) f(x) x g(x) = 5x
C) f(x) x g(x) = 6x2 + x-1
D) f(x) x g(x) = 5x2 + x-1

Answers

Answer 1

Answer:

C) f(x) x g(x) = 6x2 + x-1

Step-by-step explanation:

Multiplication of functions:

Two multiply two polynomial functions, we apply the distributive property(multiply each two terms and add).

In this question, we have that:

[tex]f(x) = 3x - 1, g(x) = 2x + 1[/tex]

The multiplication is:

[tex]f(x) \times g(x) = (3x - 1)(2x+1) = 3x*2x + 3x*1 -1*2x -1*1 = 6x^2 + 3x - 2x - 1 = 6x^2 + x - 1[/tex]

The correct answer is given by option C.


Related Questions

CAN SOMEONE PLZZZ HELP ME? THIS IS DUE IN LIKE 5 MINUTES

Answers

Answer:

I think E im not sure which other one.

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

hope this helps and hope you get a good score on your assignment/test/quiz

Kim is evaluating the expression 20 - 3p + 1 when p=4. Which expression can Kim use to evaluate the expression correctly?

Answers

The answer is 20-8. Hope this helps plus mark brainly!

Answer:

20-3(4)+1

Step-by-step explanation:

Which of the following is not a term in the expression ​

Answers

C 9 because the only term with a 9 in it is 9f4g

in the graph, the vector terminating at A represents the complex number z. the vector terminating at B represents the product of z and -2. which graph correctly represents the product?y

Answers

Answer: The first one in the picture.

Step-by-step explanation: I got this right on Edmentum.

*There’s a picture below

Please help!!! Solve for the m

Answers

Answer:

36°

Step-by-step explanation:

[tex]m\angle C =sin^{-1}\frac{17}{29}\\m\angle C =35.888297553\degree\\m\angle C =36\degree[/tex]

Verify the following identity and show steps

(Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)

Answers

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.

Myrna is buying a new rug for her living room. What is the area of the rug, in square feet?
8 ft
12 ft
Ο Α. 40 ft2
O
B. 48 ft?
o
C. 80 ft2
D 96 ft2

Answers

Answer:

The answer is 96 square feet because if you look at the first rectangle (the one on the top left), you should multiply 5 times 6 which equals 30.

Answer:

(D), 96 square feet

Step-by-step explanation:

The formula for area is:

Length * Width = Area

Let's plug in the values:

8 * 12 = 96 square feet

Therefore, the answer is (D), 96 square feet. Hope this helps!

I need the answer for this question

Answers

Answer:

6,912 i think that's the answer I'm not sure though

Step-by-step explanation:

Answer:

[tex]8,400in^2[/tex]

Step-by-step explanation:

Area of Trapezoid: [tex]A=h(\frac{b1+b2}{2} )[/tex]

Given: B1, B2 and h

B1 = 18 in

B2 = 24

h = 16 in

Substitute variables for the give numbers:

[tex]A=16(\frac{18+24}{2} )\\A = 336 in^2[/tex]

The 336 in is for one desk, and they want you to find 25 desks. So multiply 336 and 25.

[tex]x = 25(336)\\x = 8,400in^2[/tex]

answer and show work and ill give brainliest

Answers

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The area of the semicircle is ...

  A = (1/2)πr²

  A = (1/2)(3.14)(4 m)² = 25.12 m²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(12 m)(8 m) = 48 m²

Then the total area of the composite figure is ...

  total area = semicircle area + triangle area

  = 25.12 m² + 48 m² = 73.12 m²

_____

Additional comment

The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.

You should talk to your teacher about this question. None of the offered choices is correct.

Smooth transitions in an informative essay_____
two paragraphs seamlessly.
A.connect
B.Separate
C.Divide
D.Classify

Answers

the answer is connect.
hope your day is good !!
The answer is connect good luck to you !

Which One Doesn't Belong (WODB)

Indicate which multiplication problem you believe does NOT belong in the group.

Explain Why!

Answers

Answer:

I think A does not belong to the multiplication problems, because A's outcome is 2 digit while the others are 1 digit.

Step-by-step explanation:

Country A has an exponential growth rate of 4.6​% per year. The population is currently 5,849​,000, and the land area of Country A is 38​,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?

Answers

There will be one person per square yard when the number of people is equal to the number of square yards of the country.
In other words, we need to know when the population of the country will be 27,000,000,000.
We know that the population grows exponentially, so we use the exponential growth formula:

Where:
P is the population as a function of time
is the initial population
r is the annual growth rate
t is time in year.
The information we have allows us to conclude that:


So the exponential growth equation is:

We want to know when P = 27, 000,000,000.
So:

Now we solve for t, and as soon as we answer for t, the answer will be 189.66 years. Hope this helps! Mark brainly please!


Answer:

195.205998 years

Step-by-step explanation:

P=P0(1.046)^t   P=future population   P0=initial population  t=years passed

38,000,000,000 = 5,849,000(1.046)^t

1.046^t = 38,000,000,000/5,849,000

1.046^t = 38,000,000/5,849

plug in log on both sides

log 1.046^t = log (38,000,000/5,849)

t[log 1.046] = log (38,000,000/5,849)

t = In (38,000,000/5,849)/ In 1.046

t ≈ 195.205998 (hope this helps)

The weight of 8 science books is 28 pounds. What is the weight of 11 science books?

The weight of 11 science books is
pounds.

Answers

Answer:

11 books = 33 Pounds

Step-by-step explanation:

24 divided by 8 = 3 pounds per book.

3 x 11 = 33 pounds

Hope this helps

Answer:

38.5

Step-by-step explanation:

28÷8=3.5

3.5×11=38.5

During week 3, Frank rode his bike about the same amount of time as week 1 and 2 combined. About how many hours did he ride his bike during week 3?

A 4 hours
B 4 hours
C 6 hours
D 7 hours

Answers

Answer:

6 hours

Step-by-step explanation:

3 1/4

+ 2 5/6 =

72/12 = 6

WHAT THE HECK IS THAT SHAPE PLEASE HELP IM SLOW

Answers

Answer: It looks like a Trapezoid

Step-by-step explanation:

Answer:

trapezoid

Step-by-step explanation

there are two lines across from each toher that are parallel, but the other two lines aren't , so this has to be a trapezoid. there are also no right angles

Would it be possible to draw a triangle with the following side lengths?
7 feet, 9 feet, 13 feet

Answers

Answer:

it is not possible

Step-by-step explanation:

1. Determine the area under the standard normal curve to the left of z=2.10.

Answers

The answer is 0.982

In your calculator you need to go to 2nd distr and then normalcdf. Then enter the lower bound as -99, the upper bound as 2.1, mean as 0 and standard deviation as 1. Then press enter and you should get 0.982 as your answer :)

In August 2003, 56% of employed adults in the United States reported that basic mathematical skills were critical or very important to their job. The supervisor of the job placement office at a 4-year college thinks this percentage has increased due to increased use of technology in the workplace. He takes a random sample of 30 employed adults and finds that 21 of them feel that basic mathematical skills are critical or very important to their job.

Required:
Is there sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job has increased at the a = 0.05 level of significance?

Answers

Answer:

Yes

Step-by-step explanation:

First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.

It has mean μ= np =  30×0.56=16.8

standard deviation s = √npq

sqrt(30×0.56×(1-0.56)) = 2.71

So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.

y = x + 45
What is the y-intercept of the relationship?
A. 45
B. x + 45
C. x
D. y - 45

Answers

Answer:

D

Step-by-step explanation:

⚠️ANSWER ASAP⚠️ 4x−(2x−9)−12x How many terms

Answers

Answer:

4

Step-by-step explanation:

The heights, in inches, of several seventh-grade students at Evan Mills Middle School are
listed below.
56, 50, 47, 55, 50, 51, 55, 45, 55, 49, 45, 44
Which box plot best displays these data?
AHHH
40 42 44 46 48 50 52 54 56 58 60
T
B
A+++
40 42 44 46 48 50 52 54 56 58 60
40 42 44 46 48 50 52 54 56 58 60
40 42 44 46 48 50 52 54 56 58 60

Answers

No sé pero lo investigaré y te ayudaré ahora mismo

Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters? A 150 millimeters B 1.500 millimeters C 100 millimeters D 1,000 millimeters​

Answers

Answer:

1500 millimeters is your answer

HELP ME PLEASE......​

Answers

Answer:

reflective.

Step-by-step explanation:

this has a somewhat meaningful undertone, meaning it is not sarcastic or scholarly. It also is not arguementative because it is not agrueing anything.

sketch the graphs using 3 points that belong to it y = -3x +2

Answers

Answer:

Step-by-step explanation:

Answer:

0,2

1,-1

2,-4

Step-by-step explanation:

What is the approximate value of 12−−√ ?


3.5


2


6


4.5

Answers

The answer is 3.5. Do you need me to explain or is that ok?

question in screenshot

Answers

cosC would be C.12/13
Explanation: When you simply that’s the answer.

please can someone help me quickly? i will give brainliest (please no links)

Answers

I believe it’s for every 3 gallons of gas you buy it’s $10! An easy tip I recommend is looking for where the line lines up on the graph. I learned that has been very useful! Please comment if you have any questions!

3 1/7 x 10 answer plz

Answers

Answer:

31.43

Step-by-step explanation:

3 1/7 = 3.14285714285

3 1/7 x 10 = 31.4285714286 which is about 31.43

Answer:

31 [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{22}{7}[/tex]×[tex]\frac{10}{1}[/tex]

[tex]\frac{220}{7}[/tex]

31 [tex]\frac{3}{7}[/tex]

What is the measure of angle XYZ?

Answers

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees

At the beginning of the month, Sarah had 600 in her bank account. Within the month she made two deposits of and She also made three withdrawals 100, , and 20. How much was in her account at the end of the month?

Answers

Answer:

At the end of the month she has $578

Step-by-step explanation:

Given

[tex]Start\ balance = 600[/tex]

[tex]Deposits=50; 100; 48[/tex]

[tex]Withdrawal: 100; 20; 100[/tex]

Required

The balance at month end

Deposits simply means adding cash to the account and it has a very simple interest. So, we add .

While Withdrawal taking money out of the account. So, we subtract.

So, we have:

[tex]Month\ end = Start\ balance + Deposits + Withdrawal[/tex]

[tex]Month\ end = 600 + [50 + 100 + 48] - [100 + 20 + 100])[/tex]

[tex]Month\ end = 600 + 198 - 220])[/tex]

[tex]Month\ end = 578[/tex]

Hence, at the end of the month she has $578

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