f(x) = -x - 4
g(x) = 2x^2 + 4x + 11
Find: (f*g)(x)

Answers

Answer 1

Answer:

f(x)*g(x)  =   [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]

Step-by-step explanation:

I am assuming that * means multiplication

(f*g)(x) = f(x)*g(x)

So, f(x)*g(x)  =  (-x-4)([tex]2x^{2} + 4x + 11[/tex]) = [tex]-2x^{3} - 4x^{2} - 11x - 8x^{2} - 16x - 44[/tex]

                                                       =  [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]


Related Questions

Please help me ! I’ll give anyone a 5 star rating for the correct answers.

Answers

Answer:

A)Josh

B)Mila

C) Amir

What is the diameter of a sphere with a volume of 78006 in?

Answers

Answer: 53.0

Step-by-step explanation:

Then the diameter equals 53.0122774

The diameter of the sphere is 53.01 inch

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the diameter of the sphere be = d

The radius of the sphere be = r

The volume of the sphere is V = 78006 inch³

The Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation ,we get

( 4/3 ) πr³ = 78006 inch³

Now , Multiply by ( 3 / 4 ) on both sides , we get

πr³ = ( 78006 x 3 ) / 4

     = 58504.5 inch³

Divide by π on both sides , we get

r³ = 58504.5 / π

   = 18622.56 inch³

Taking cube roots on both sides , we get

r = 26.506 inch

So , the radius of the sphere is r = 26.506 inch

Now , the diameter of the sphere is d = 2 x r

                                                               = 2 x 26.506

                                                               = 53.01 inch

Hence , The diameter of the sphere is 53.01 inch

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6. Find the ICM of 60 and 400

Answers

Answer: it's 1200

Step-by-step explanation: please give me brainliest

400x3=1200

60x20=1200

The LCM of 60 and 400 is 1200. The multiples of 60 are 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, and more.

The multiples of 400 are 40, 80, 120, 160, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200 and so on and so forth.

Therefore, the LCM is 1200.

the mean of four numbers is 9 what is the total of the four numbers?

Answers

Answer:

36

Step-by-step explanation:

36/4 = 9 wish this helps!

what function equation is represented by the graph

f(x) = 4^x+5

f(x) = 3^x+4

f(x) = 3^x+5

f(x) = 4^x+4

Answers

Answer: C

The graph goes up along the Y-axis at 5 (+5)

Answer:

B

Step-by-step explanation:

We know that when x=0 y=5

B and D are the only ones that meet this criteria

we know that when x=2 y= 13 or so

D no longer works

it has to be B


Express 29/100 as a decimal

Answers

Answer:

Step-by-step explanation:

Since there are 2 digits in 29, the very last digit is the "100th" decimal place. So we can just say that . 29 is the same as 29/10

Answer:

0.29 = 29/100

Explanation:

When all the kids who tried out for the Little league were divided into teams of 16 players, there were exactly 8 teams. How many kids tried out?

Answers

Answer:

128

Step-by-step explanation:

16 x 8 = 128

Answer:

128

Step-by-step explanation:

you multiply 16 and 8 because each team has 16 and there are 8 teams so, 16×8=128

solving the systems of linear equations by substitution.

x+2y=6
5x+2y=18​

Answers

Here you go...........

Is a coin flip​ random? Why or why​ not, in your​ opinion?
Choose the correct answer below.
A.
Yes. You will get heads on every other flip.
B.
Yes. You cannot predict the outcome beforehand.
C.
No. You must run numerous trials before you can tell.
D.
No. You can predict the outcome beforehand.

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Hello Brainly pleas help

Answers

Answer:

can you take a better pick

Step-by-step explanation:

3 units easy cuz 1.5 from A to zero and 1.5 feom zero to B.

The moon is about 382,500 km away from earth. This distance actually varies by about 22,500 km. What are the maximum and minimum distances to the moon?

Answers

Answer:

225,623 miles (363,104 kilometers).

Step-by-step explanation:

Digital Lesson
Sam does 11 jumping jacks in 8 seconds. If he does the jumping jacks at a constant rate, how many
jumping jacks can he do in 20 seconds?

Answers

Answer:

about 28

Step-by-step explanation:

Which inequality is true if p = 2.8?

Answers

Complete question :

Which inequality is true if p = 2.8?

3p < 10.2

13.6 ≤ 3.9p

5p > 17.1

8.5 ≥ 2.5p

Answer:

3p < 10.2

8.5 ≥ 2.5p

Step-by-step explanation:

To obtain the true expression, put p = 2.8 in all the options and choose the true inequality expression :

3(2.8) < 10.2

8.4 < 10.2 ( true)

13.6 ≤ 3.9p

13.6 ≤ 3.9(2.8)

13.6 ≤ 10.92 ( False)

5p > 17.1

5(2.8) > 17.1

14 > 17.1 ( False)

8.5 ≥ 2.5p

8.5 ≥ 2.5(2.8)

8.5 ≥ 7 (True)

The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools.

Answers

The question is incomplete. Here is the complete question.

The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 application on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools. Create and interpret a 95% confidence interval.

Answer and Step-by-step explanation: Th proportion of students that attend private schools in the sample is

[tex]p=\frac{46}{450}[/tex]

p = 0.102

At 95% confidence, z-score is 1.96.

Standard deviation for sample proportion is calculated as

[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]

For this sample, it will be

[tex]\sigma = \sqrt{\frac{0.10(1-0.1)}{450} }[/tex]

[tex]\sigma=\sqrt{0.0002}[/tex]

[tex]\sigma=0.01414[/tex]

Interval is calculated as

p ± zσ

Then

0.102 ± 1.96(0.01414)

0.102 ± 0.028

Interval is 0.074 < p < 0.13

What confidence interval means is that with a certainty of 95%, we are confident that  the true population proportion of students who attend private schools are between 0.074 and 0.13.

Don’t mind the check make but which statement describes the error the student made in simplifying the equation

Answers

Answer:

i think A sorry i dont know for suee

I have data with 2 independent variables measuring the effectiveness of 3 different antibiotics at different dosages. I don't know if I should use a bar graph or line graph​

Answers

Range bar graphs represents the dependent variable as interval data. The bars rather than starting at a common zero point, begin at first dependent variable value for that particular bar. Just as with simple bar graphs, range bar graphs can be either horizontal or vertica

6+(9-1)2 divided by 4x (1/2)

Answers

Answers:

Here you go, hope this helps

Step-by-step explanation:

6+2x

Find the equation of a line parallel to the equation y = 5x + 7 through the point (2,7).​

Answers

Answer:

y = 5x + 7

Step-by-step explanation:

1. Substitue the numbers into their spots.

7 = 5(2)+b

2. Find b by simplifying

7 = 10 + b

-3 = b

3. Substitute it back in since parallel lines have the same slope.

The following expression represents the profit made by John as he mows lawns: P = 20L
- 100
Which description correctly interprets each part of the expression?

Answers

its c because i already did that and got it right

Solve For X. Please add an explanation.

Answers

Answer:

Your answer is 2.5

Hope that this is helpful. Vote and like it

Which of the following best describes a triangle with one right angle and two congruent sides?
A right scalene triangle
B. acute scalene triangle
C. right isosceles triangle
D acute isosceles triangle

Answers

Answer:

C

Step-by-step explanation:

A is impossible. You cannot have both a right triangle and in the same triangle have an angle in it that is over 90 (that's the meaning of scalene)

B is sort of true, but only sort of. All scalene triangles have an angle over 90 and 2 acute angles.

C this is the answer to the question. It has 1 right angle and 2 equal sides. The two equal sides make it isosceles and the right angle is given.

D an acute triangle has three angles under 90 that add to 180. Not the right description.

A triangle with one right angle and two congruent sides is described as a "right isosceles triangle." (Option C)

Let's break down the terms:

1. Right Angle: A right angle is an angle that measures exactly 90 degrees.

2. Isosceles Triangle: An isosceles triangle is a triangle with at least two sides of equal length (congruent sides).

3. Right Isosceles Triangle: A right isosceles triangle is a special type of isosceles triangle where one of the angles is a right angle (90 degrees) and the other two angles are equal, each measuring 45 degrees.

In a right isosceles triangle, the two congruent sides are the legs of the right triangle, and the third side (opposite the right angle) is called the hypotenuse.

So, among the given options, the best description for a triangle with one right angle and two congruent sides is a "right isosceles triangle" (Option C).

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2+5x+1/2x^3dx
Answer

Answers

Answer:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]

Step-by-step explanation:

I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:

[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]

Sum rule tells us:

[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]

From this we get:

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]

Don't forget to add the constant!

[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]

What does the enlargement look like and what are the coordinates?

Answers

Answer:

(-6, -3) (-3,-3) (-3,-6)

Step-by-step explanation:

Multiple all of the vertices by 1.5.

(-6, -3) (-3,-3) (-3,-6)

Hope I helped!

[enlargment will still be a triangle]

what is the answer to this question
1/2 x -7=1/3(x-12)

Answers

Answer:

= 1 8 hope this helps!!! :)

Step-by-step explanation:

1 2 ⋅ −7 = 1 3 ( − 1 2 )

1 2 − 7 = 1 3 −1 2 )

1 2 − 7 = 1 3 − 1 2 )

Multiply by 1  

Combine multiplied terms into a single fraction  

Multiply by 1  

Add to both sides of the equation

Answer:

x = 3/2 = 1 1/2 = 1.5

Step-by-step explanation:

1/2 x -7=1/3(x-12)

Multiply 1/2 and -7 to get -7/2

-7/2 = 1/3(x-12)

Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.

- 7/2 = 1/3(x-12)

Use the distributive property to multiply 1/3 by x−12.

-7/2 = 1/3x + 1/3(-12)

Multiply 1/3 and −12 to get -12/3

-7/2 = 1/3x + -12/3

Divide −12 by 3 to get −4.

-7/2 = 1/3x + 4

Swap sides so that all variable terms are on the left hand side.

1/3x -4 = -7/2

Add 4 to both sides.

1/3x = -7/2 + 4

Convert 4 to fraction 8/2

1/3x = -7/2+8/2

Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.

1/3x = -7+8/2

Add −7 and 8 to get 1.

1/3x = 1/2

Multiply both sides by 3, the reciprocal of 1/3

x = 1/2 x 3

Multiply 1/2 and 3 to get 3/2

x = 3/2

How much is 20% off of $90.75?

Answers

The answer is $18.15

0.20x$90.75

Work out the surface area of the prism

Answers

Pretty sure the surface area is 47.5cm^2

do 2(1.5 x 5) = 15
then do 2(2.5 x 2) = 10
then do 2(2.5 x 5) = 25
15+10+25 = 50cm^3

write an expression y+3y-2y=​

Answers

Answer:

3y=2y

Step-by-step explanation:

Im not sure if this is the answer your looking for but I hope this helped. I tried tho lol :)

Solution:2y
Explanation: y+3y-2y=4y-2y=2y

3/8x5/4 Helpppppp pls

Answers

Answer:

9/25 or .36

Step-by-step explanation:

- {(-3, 3), (1, 1), (0, -2), (1,-4), (5, -1)}

Function?

Answers

Answer:

Step-by-step explanation:

It is not a function. (1,1) and (1,-4) are both points on the graph.

Jeromes credit card has an APR of 18% calculated on the previous monthly balance and a minimum payment of 2% starting the month after the first purchase his credit card record for the last seven months is shown in the table below what is the total amount that Jerome has paid in interest over the seven months

Answers

Answer:

$194.54!!

Step-by-step explanation:

Answer:

65.18

Step-by-step explanation:

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