Let f (x) = 8x^2 + 4 and g(x) = -x^2+ 12x + 10. Which statements below are true for f (x) · g(x)? Select all that apply.
A.The constant term is 40.
B.The leading term is 8x^4.
C.The x term has a coefficient of 12.
D.The x^2 term has a coefficient of -76.
E.The x^3 term has a coefficient of 96.
F.The resulting polynomial has degree 4.

Answers

Answer 1

Answer:

Option A, E ,F are correct

Step-by-step explanation:

f(x).g(x)=(8x^2+4)(-x^2+12x+10)

=(-8x^4+96x^3+80x^2-4x^2+48x+40)

= -8x^4+96x^3+76x^2+48x+40

Leading term is -8x^4. The x term has coefficient 48. The x^2 term has coefficient +76


Related Questions

What is the equation of the line that passes through the point (5,2) and has a slope

Answers

Answer:

y=-4x+2

Step-by-step explanation:

What is a SWOT analysis?

Answers

it’s a compilation of your company’s strengths, weaknesses, opportunities and threats. A primary objective is a SWOT analysis is to help organizations develop a full awareness of all the factors involved in making a business decision. (I learned this a few weeks ago, i hope i could help!!) ;)

Determine f(4) for the function f(x)=2/5x+11​

Answers

Answer:

63/5 in improper form and 12 and 3/5 in mixed form

Step-by-step explanation:

f(x) = 2/5x + 11

Substitute in value of x for the equation

f(4) = 2/5(4) + 11

f(4) = 8/5 + 11

f(4) = 8/5 + 55/5

f(4) = 63/5 or 12 and 3/5

So, the answer should be 63/5 in improper form and 12 and 3/5 in mixed form.

Answer:

Step-by-step explanation:

f(x) = [tex]\frac{2}{5}x + 11[/tex]

f(4) = [tex]\frac{2}{5}*4 +11\\[/tex]

     [tex]=\frac{8}{5}+11\\\\=\frac{8}{5}+\frac{11*5}{1*5}\\\\=\frac{8}{5} + \frac{55}{5}\\\\=\frac{63}{5}\\\\=12\frac{3}{5}[/tex]

Ronda is flying her plane. She goes north for 40 miles and then heads west. She isn’t sure how far west she went, but after some distance she decides to fly the 60 miles directly back to the airport. How many miles west did she fly? Round your answer to the nearest tenth.

Answers

Answer:

20 miles

Step-by-step explanation:

hope this helps

Answer:

20

Step-by-step explanation:

60-40=20

Decide wether or not if these are functions

Answers

Answer:

Relation 1: Not a Function

Relation 2: Not a Function

Relation 3: Function

Relation 4: Not a Function

Explanation:

There can only be one output (what you get out of it) for each input (what you put into the function) in a function.

Ethan earns $8.40 per hour. in a week he works 40 hours plus 7 hours at time in a half and 3 hours at double time. calculate his gross wage for the week

Answers

Answer:

415.8

Step-by-step explanation:

8.40 x 40 is 336$. plus 7 x 4.20 (half) is 29.4$ and plus 8.40 x 2 (double time) is 16.8 x 3 which is 50.4$. you add these up and he earns 415.8$ (hopefully)

Five people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there? Show your
work.



HELP ASAP PLEASE!!!!!

Answers

Answer:

10

Step-by-step explanation:

1 2 3 4 5

1 shakes hands with 2,3,4,5

2 shakes hands with 3,4,5 but not with 1 because they already shook hands once

similarly, 3 only shakes hands with 4 and 5, same reason as abov

4 with 5 only, same reason

Answer:

10

Step-by-step explanation:

Let the people be represented by numbers (1,2,3,4,5)

-- now 1 shakes hands with the remaining 4, (i.e 2,3,4,5)

-- 2 shakes hands with the remaining 3 (i.e 3,4,5) as it has already shaken hands with 1

-- 3 shakes hands with the remaining two  and so on

If you recognize the pattern there are 4+3+2+1 handshakes that have taken place, or 10 handshakes

7. Find DE.
11-25
E
А
4x + 1
D
С

Answers

Answer:

DE = 37

Step-by-step explanation:

AD = DC and BE=EC ⇒

DE = 1/2AB

4x + 1 = 1/2(11x - 25)2(4x + 1) = 11x - 258x + 2 = 11x - 2511x - 8x = 2 + 253x = 27x = 27/3x = 9

DE = 4*9 + 1 = 36 + 1 = 37

Given:

AD = DC

BE = EC

It gives that 2(DE) = AB

To Find:

The length of DE.

Explanation:

According to the question,

2(DE) = AB

By putting the respected values, we get

2( 4x + 1 ) = 11x - 25

or, 8x + 2 = 11x - 25

or, 25 + 2 = 11x - 8x ( transposition method )

or, 27 = 3x

or, x = 27/3 = 9

The value of x is 9.

DE = 4(9) + 1 = 36 + 1 = 37

Answer:

DE = 37

name the type of angle relationship, if no relationship exists, write “none”

ANSWERS:
-corresponding angles
-alternate interior
-alternate exterior
-consecutive interior
-consecutive exterior

Answers

Answer:

c. <3 and <6: AE, alternate exterior

d. <9 and <14: CE, consecutive exterior

e. <4 and <7: CI, consecutive interior

f. <2 and <10: CA, corresponding angles

g. <8 and <14: CI, consecutive interior

h. <6 and <11: None

i. <4 and <13: None

j. <4 and <9: AI, alternate interior

Step-by-step explanation:

c. <3 and <6 are alternate angles located outside the parallel lines that are cut across by transversal c. Therefore they are alternate exterior angles.

d. <9 and <14 lie outside the parallel lines that are cut across by transversal d, and they are on the same side of the transversal. Therefore, they are consecutive exterior angles.

e. <4 and <7 lie within the parallel lines that are cut across by transversal c, and they are on the same side of the transversal. Therefore, they are consecutive interior angles.

f. <2 and <10 lie on the same position on each line cut across by the transversal line. Therefore they are corresponding angles

g. <8 and <14 lie on the same side of the transversal and are within the two lines cut across by a transversal. Therefore, they are consecutive interior angles.

h. <6 and <11 has no relationship. The answer is none.

i. <4 and <13 has no relationship. None is the answer.

j. <4 and <9 lie on alternate side of the transversal line and are within the two lines cut across by the transversal line. Therefore, they are alternate interior angles.

Deeana say that the human beats an average of 80 beats per minute.she said that means that the human heart beats 4.8 times 10^3 beats per hour.Is she correct?Explain.

Answers

Answer:

Deana's claim is correct that the heart beats 4.8*10^3 times per hour.

Step-by-step explanation:

Given that human heart beats 80 time per minute.

In order to check Deana's claim we have to calculate number of beats in one hour.

As we know that

1 hour = 60 minutes

So the heartbeats in 60 minutes:

[tex]= beats\ per\ minute * 60\\=80*60\\=4800\ beats[/tex]

Converting the result into scientific notation gives us:

[tex]4800 = 4.8 * 1000 = 4.8*10^3\ beat[/tex]

Hence,

Deana's claim is correct that the heart beats 4.8*10^3 times per hour.

please help me! asap!!!

Answers

Answer:

can you explain your question

Step-by-step explanation:

HELPPPP I NEED HELPPPPP

Answers

Answer:

First one is cubed

second is quotient

third is product

fourth is three less

and fifth is three more

Step-by-step explanation:

Answer:

x^3 = A variable cubed

b ÷ 3 = Quotient of some number and three

3a = Three more than some number

y - 3 = Three less than a variable

z + 3 = Product of an unknown value and three

Hope this Helps (✿◡‿◡)

Sry I took so long to do this.

What is the vertex of (x) = –16x² + 64x + 80.

Answers

Answer:

           (2, 124)

Step-by-step explanation:

f(x) = a(x - h)² + k      - the  vertex form of the equation of the parabola with vertex (h, k)

[tex]f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}[/tex]

The vertex is (2, 124)

which is right?????​

Answers

Answer:

C

Step-by-step explanation:

When talking about multiplication two negatives do, in fact, make a positive but if there is only one negative in the equation, the product(answer) will be negative. Therefore, C 31(-10)=-310 is the only problem that is correct.

Answer:

C.[tex]31\left(-10\right)=-310[/tex]

Step-by-step explanation:

[tex]31\left(-10\right)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]

[tex]=-31\cdot \:10[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:31\cdot \:10=310[/tex]

[tex]=-310[/tex]

QGS-GAkhddsg/viewform?hr_submission=Chklovas 8. Gina has a summer job that pays $5 per hour. Which graph shows the 5 points relationship between the number of hours Gina works and the amount of money she earns? Gina has a summer job that pays $5 per hour Which graph shows the relationship between the number of hours Gina works and the amount of money she eams? 10 9 10 9 8 Dollars Dollars 2 0 1 2 3 4 5 6 7 8 9 10 Hours 0 1 2 3 4 5 6 7 8 9 10 Hours D 10 10 9 Dollars Dollars 123 456 7 8 9 10 Hours 012345678910 Hours В O​

Answers

Answer:

the graph should be of the line y=5x

Step-by-step explanation:

the x axis should be labeled hours and the y axis should be labeled amount earned or dollars

the coordinates on the graph should be

(1,5) (2,10) (3,15) (4,20) (5,25) (6,30)

I cannot see the answer choices but I hope this information helps you answer the question

Okay so my test said (using elimination (add or sub) find the solution to the following system of equations. 5x+3y=9 2x -3y=5) and I’m confused

Answers

Answer:

x = 2, y = -1/3

Step-by-step explanation:

I'm pretty sure the question is asking for the values of x and y. By finding these values you will need to use elimination.

Equations given:

5x + 3y = 9

2x - 3y = 5

To find x:

5x + 3y + 2x - 3y = 9 + 5  (add to eliminate y to solve for x)

7x = 14

x = 2

To find y:

5(2) + 3y = 9

10 + 3y = 9

3y = -1

y = -1/3

Therefore, x = 2 and y = -1/3

i need help will mark brainliest

Answers

Answer:

A. -8

B. -8

C. 20

Step-by-step explanation:


He buys a jewel for $180, then sells it for $216. Find his percentage profit.

Answers

Answer:20%

Step-by-step explanation:216-180=36. 36/180=.20

please help!!!!!!!!!!!!!

Answers

Answer:

x=5

Step-by-step explanation:

set up the equation:

x-2 = 3

solve

x = 5

Answer:

x=1

Step-by-step explanation:

you put 3 in for x in the equation

Which of the following numbers are greater than -0.33−0.33minus, 0, point, 33? Choose all answers that apply: Choose all answers that apply: (Choice A) A -0.3−0.3minus, 0, point, 3 (Choice B) B -\dfrac{3}{9}− 9 3 ​ minus, start fraction, 3, divided by, 9, end fraction (Choice C) C \dfrac{1}{6} 6 1 ​ start fraction, 1, divided by, 6, end fraction

Answers

Answer:

its a and c

Step-by-step explanation:

on khan

The numbers -0.3 and 1/6 are greater than the given number.

How to compare to decimals?

Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.

The given decimal number is -0.33.

A) -0.3 is greater than -0.33

B) -3/9 = -0.33

Here, -3/9 is equal to -0.33

C) 1/6 =0.16

Here, 1/6 is greater than -0.33.

Therefore, the option A and option C are correct answers.

To learn more about the comparison of decimals visit:

https://brainly.com/question/18270620.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

Which of the following numbers are greater than -0.33?

Choose all that apply:

A. -0.3

B. -3/9

C. 1/6

The table shows the number of candid pictures of students for the yearbook for two consecutive years. Year Number of Photos 2015 236 2016 214 What was the percent of decrease in the number of candid student pictures from 2015 to 2016, rounded to the nearest tenth?

Answers

Answer:

The percentage decrease in the number candid student pictures for the yearbook from 2015 to 2016 is approximately 9.3 percent

Step-by-step explanation:

The given data can be presented as follows

Year           [tex]{}[/tex]                      Number of Photos

2015           [tex]{}[/tex]                      236

2016           [tex]{}[/tex]                      214

The percentage decrease in the number of candid pictures is give by the following formula

[tex]Percentage \ Decrease = \dfrac{Original \ Value- New \ Value}{Original \ Value} \times 100[/tex]

Where;

Original value for the number of pictures = 236

New value for the number of pictures = 214

Substituting the values into the equation for the percentage decrease gives;

[tex]Percentage \ Decrease = \dfrac{236- 214}{236} \times 100 = \dfrac{550}{59} \ percent\approx 9.3 \%[/tex]

The percentage decrease is approximately 9.3 percent.

Answer:

The answer is 9.3%.

Help Find the Avrage rate of change of the distance in miles per hour

Answers

6. 1200/3 = 400 miles per hour
7. 100/40 = 2.5 feet per second
The scuba diver’s rate of change -2.5 feet per second. I believe it would be negative since the scuba diver is descending into the water.

which one is greater root of 3 or 2?

Answers

The root of 3 is greater

Answer:

3

Step-by-step explanation:

3 is larger than 2

Need help with this question. Thanks

Answers

Answer:

C

Step-by-step explanation:

-18x+2y>=-13

2y>= -13+18x

y>= -6.5+9x

How many pushups someone can do can be correlated to the distance they run. The regression equation for this is pushups = 0.72 + 7.62 miles. When you used the equation to determine how many miles someone should be able to run if that person does 24 push-ups, was that an example of interpolation or extrapolation?

Answers

Answer:

Extrapolation

Step-by-step explanation:

Given the regression equation :

pushups = 0.72 + 7.62 miles

Determining the Number of miles a person who does 24 push-ups should be able to run is an example of extrapolation, this is because we are making a prediction into the the future or outside our data based on the available information. Regression equations are used for extrapolation (making future predictions). Interpolation on the other hand makes estimation within the limit of the data usually between two known values.

When converting a percent (%) into a decimal (.), you move the decimal point 3 places to the right. When converting a percent (%) into a decimal (.), you move the decimal point 3 places to the right.

Answers

Answer:

The decimal point moves 2 places to the right.

Step-by-step explanation:

EX:

decimal: .95

percent: 95%

the decimal point moves 2 places to the right

Which of the following is a conditional statement?

A.) I must pay all my bills on time each month
B.) emergencies cost money
C.) I work to earn money
D.) when I save money, I have enough money to cover emergencies

Answers

Answer:

The answer C  earn it

Sean is running a 100 m dash. When the starter's pistol fires, he leaves the starting block and continues speeding up until 6 s into the race, when he reaches his top speed of 11 m/s. He holds this speed for 2 s; then his speed has slowed to 10 m/s by the time he crosses the finish line 11 s after he started the race. a. What was Sean's average acceleration during the first 6 s of the race? b. What was Sean's average acceleration from 6 to 8 s into the race? c. What was Sean's average velocity for the whole race? d. What was Sean's average acceleration from 8 to 11 s into the race?

Answers

Answer:

a. a = 1.83 m/s²

b. a = 0 m/s²

c. Average Velocity = 9.09 m/s  

d. a = - 0.33 m/s²

Step-by-step explanation:

a.

We apply 1st equation of motion to the first 6 seconds of the motion:

Vf = Vi + at

a = (Vf - Vi)/t

where,

a = acceleration during first 6 seconds = ?

Vf = Final Speed = 11 m/s

Vi = Initial Speed = 0 m/s

t = time = 6 s

Therefore,

a = (11 m/s - 0 m/s)/6 s

a = 1.83 m/s²

b.

From 6 s to 8 s Sean held his speed constant at 11 m/s. Since, the speed was constant. Therefore, there is no acceleration during this time:

a = 0 m/s²

c.

Sean's average velocity can be found as follows:

Average Velocity = Total Distance Covered/Total Time

Average Velocity = 100 m/11 s

Average Velocity = 9.09 m/s

d.

Applying the 2st equation of motion for last 3 s from 8s to 11 s:

Vf = Vi + at

a = (Vf - Vi)/t

where,

Vf = 10 m/s

Vi = 11 m/s

t = 3 s

Therefore,

a = (10 m/s - 11 m/s)/3 s

a = - 0.33 m/s²

negative sign shows deceleration

An isosceles triangle has a perimeter of 50 cm. The congruent sides
measure (2x + 3) cm. The length of the third side is 7x cm. What is the
value of x?

Answers

Answer:

4

Step-by-step explanation:

As, the measure of one congruent side is = 2x + 3

So, bc there are 2 congrent sides, =( 2x + 3) + (2x +3) = 4x + 6

Now perimeter= the length of the 2 sides + third side

Perimeter = (4x + 6) + (7x) = 50 cm

So, 11x + 6 = 50

So, 11x = 50 - 6 = 44

11x = 44

x = 44/11

x = 4cm.

Determine whether each function has a maximum or minimum value, and find that value. Then state the domain and range of the function.

v(x) = –x2 + 14x – 57

Answers

3x5=15 2+2 is 4 - 1 that 2 quick math
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