Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = (x + 3)(2x − 2)

Answers

Answer 1

Answer:

2x³/3 +2x²-6x+C

Step-by-step explanation:

Given the function

f(x) = (x + 3)(2x − 2)

Expand first

f(x) = 2x²-2x+6x-6

f(x) = 2x²+4x-6

Integrate the resulting function

Integrate (2x²+4x-6) =2x³/3 + 4x²/2 - 6x + C

= 2x³/3 +2x²-6x+C

For us to check the correctness, we need to differentiate the answer and we must arrive back at the question

On differentiating 2x³/3 +2x²-6x

3(2/3)x² + 2(2)x¹ -6

= 6/3x²+4x-6

= 2x²+4x-6

This shows the answer is correct.

The correct anti derivative of the function is 2x³/3 +2x²-6x+C


Related Questions

help pls (picture attached)

Answers

Answer:

an = 5 . n - 5

a50 = 245

Step-by-step explanation:

equation: an = 5 . n - 5, with n=0, 1, 2, ...

a50 = 5.50 - 5 = 250 - 5 = 245

please help question eleven

Answers

the answers D, the explanation is that it’s basically common sense just look for the same numbers and make it make sense :)

A. 90

B. 70

C. 55

D. 35

Answers

Answer:

A. 90

Step-by-step explanation:

Since the 2 lines on the left are parallel, they both will line up. Also the other answers don't make sense

Answer:

The answer is A.90 degrees

Step-by-step explanation:

Hope it helps

Have a great day

:)

Brandon bought a jacket on sale for $36. If the jacket originally cost $60, what was the percentage discount for the cost of the jacket?

Answers

Answer:

40% discount

Step-by-step explanation:

To find this remember the formula [tex]\frac{discount amount}{original price} = \frac{percent discount}{100}[/tex]

To find the discount amount subtract $36 from $60 which is $24.

[tex]\frac{24}{60} = \frac{x}{100}[/tex] next you have to cross multiply

24*100 = 2400 and 60*x = 60x

Now you have the equation 2400 = 60x

Divide both sides by 60 to isolate the variable

x = 40

if y=4x+3 were changed to y=-4x+3, how would the graph of the new funtion compare to the original

Answers

Answer:

graph would go to the left 4 units instead of to the right 4 units then up 3

Step-by-step explanation:

read above

You and a friend take pictures at a motocross event. Your camera can take 24 pictures in 3.75 seconds. Your friend's camera can take 36 pictures in 4.5 seconds. Evaluate the expression (36 divided by 4.5)/(24 divided by 3.75) to find out how many times faster your friend's camera is than your camera. GIVING BRAINLIST!

Answers

Answer:

bro

Step-by-step explanation:

bro i have no idea

Tan0 plus sec0 equals cos0 divided by 1 minus sin0

Answers

Answer:

False

Step-by-step explanation:

1=cos(1)

The sides are not equal

A recipe for tropical punch calls for 2 cups of pineapple juice and 3 cups of orange juice. Jo creates a drink by mixing 3 cups of pineapple juice with 4 cups of orange juice

Answers

Answer:

Okay?

Step-by-step explanation:

John is hanging 146 feet of Halloween lights on the sides of his rectangular fence that encloses his property. The length is five feet less than five times the width. Find the length of the fencing.

Answers

Answer:

1347 feet in the space of the suns house

Step-by-step explanation:

10 + -6 please help me find the answer thanks everyone for helping

Answers

Answer:

4

Step-by-step explanation:

10+-6 is the same as 10-6.

You can see this because there is a addition and subtraction symbol in the middle. You can use the KCC (keep, change, change) method to change the symbols from 10+-6 to 10-6. (You keep the 10, change the subtraction and addition symbols).

Answer: its 4

Step-by-step explanation: Because if you put it on a number line from 0 to 10. go right 10 times. then for -6 you go back left 6 times. and get 4. or just 10 - 6 = 4

For which pairs of functions is (f•g)(x)=x?

A.)f(x) = x^2 and g(x)=1/х
B.)f(x) = 2/x and g(x)= 2/x
C.) f(x)= x-2/3 and g(x) =2-3x
D.)f(x)=1/2x-2 and g(x)=1/2x+2

Answers

I believe it’s letter c

What’s the x on this triangle ?

Answers

Answer:

x = 5

Step-by-step explanation:

x is the length of the hypotenuse of this triangle.  The length of one of the legs of the triangle is 3" and that of the other leg is 4".

Applying the Pythagorean Theorem:  x^2 = 3^2 + 4^2, or 25

Thus, the length x is +√25, or 5.

x = 5

Solve each equation algebraically. 2/3x( - 4)=20

Answers

Answer:

Step-by-step explanation:

2/3x(-4)=20

2/3x*4=20

8/3x=20

8/3x/8/3= 20/8/3

0.83 but 3 is repeting

Which two division sentences result in the same quotient?

0.148 ÷ 0.02
1.48 ÷ 0.02
1.48 ÷ 0.2
148 ÷ 2

Answers

Answer:

the first and third one

Step-by-step explanation:

What is the point-slope form of a line with slope 4/5 that contains the point
(-2, 1)?
A. y+1 = 4/5(x-2)
B.y+1 = 4/5(x + 2)
C. y-1 = 4/5 (x+2)
D. y-1 =4/5 (x-2)
SUBMIT

Answers

Awnser: Its D uhm yea...

Step-by-step explanation:

The point-slope form of a line is (y-y1)=m(x-x1). Therefore, option C is the correct answer.

Given that, slope (m)=4/5 and the point on line=(-2, 1).

What is the point-slope form of a line formula?

A slope is, a numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

The point-slope form of a line formula is (y-y1)=m(x-x1).

Now, (y-1)=4/5(x+2).

Therefore, option C is the correct answer.

To learn more about the point-slope form of a line visit:

https://brainly.com/question/12743204.

#SPJ2

Think About the Process You have 20 quarters. You find 40% more quarters in your room. Then
you go shopping and spend 75% of the total number of quarters. Write an expression to represent
the total number of quarters you take with you shopping. Calculate, in dollars, the amount of money
you have left.
What expression represents your total number of quarters?
O A. 20 +(20 - 0.75)
OB. 20+ (20 = 40)
OC. 20+ (20 x 40)
OD. 20+(20 x0.40)

Answers

Answer:

A. 1.4*20 quarters

B.14

Step-by-step explanation:

A: 1.you start with 20 quarters= 20*1

2.you find 40% of twenty quarters in your room= 4/100*20=0.4*20

3.20*1+20*0.4= 20*1.4

B:20*1.4=28

28*50/100=14

Find the x−and y−intercepts.


4x − 2y = −8


The x−intercept is

.

The y−intercept is

.

Answers

Answer:

(4,-8/5)

Step-by-step explanation:

.............

Answer:

x=y-4/2

Step-by-step explanation:2x-y=-4

2x-4=-8/2

2x=4+4

2x=4-4

4 divided by 2/3 simplest form

Answers

Answer:

6

See photo for explaination.

find the slope of a line to the line perpendicular to the line containing the points (3,-7) and (4,-3)

Answers

Answer:

4

Step-by-step explanation:

m = y2 - y1/x2 - x1

y = -3 - -7 = -3 + 7 = 4

x = 4 - 3 = 1

m = 4/1

answer should be 4... If i am correct hope that helps

A new coffee shop is opening and plans to sell cups of coffee at $4 each. It costs $3 to make each cup of coffee, and the shop needs to buy a machine for $350 to start brewing the coffee. Which expression represents how much money it will cost to make the first cc, cups of coffee?

A. 3c
B. 3c + 350
C. 4c
D. 4c + 350
E. 4c - 350​

Answers

Answer:

the answer is b

Step-by-step explanation:

what is 1/8 as a percentage ?HELP

Answers

Answer:

12.5%

Step-by-step explanation:

Write 18 as a percent. Divide 1 by . Therefore, the fraction 18 is equivalent to 12.5% .

The percent is 12.5%

A graph of an inequality includes an open circle and an
arrow pointing left. Explain how you would use that
information to choose which symbol to use to write an
inequality

Answers

Answer: Since the circle is open, the symbol must be < or="">, because the boundary point is not included. The arrow points left, so the solution set includes all values less than the boundary point. I would use < in="" my="">

Step-by-step explanation:

Sample Response

The information that should be selected for symboling the equality function since the boundary point is not involved.

What is an inequality function?

It is the relation type where it can graph and show any kind of relationship. rather drawing the lines for linking the dots here we have to shade the large areas for the graph.

Also, there is open circle so here the symbol should be like  < or=""> since  the boundary point is not involved. Also, the point of arrow should be in left hand side, so it should be lower than the boundary point.

Learn more about circle here: https://brainly.com/question/2031248

a pharmacist measured 70 mL of medication by difference starting with 100 mL. He noted that the graduate used contained 35 mL of glycerin. Calculate the percentage of error incurred in the measurement.

Answers

i dont have time to do it right now but here is the percent error equation!

Find the quotient of -36 / -6

Answers

Answer:

6

Step-by-step explanation:

-36/-6 = 6

Answer:

The answer is positive 6.

Step-by-step explanation:

Hope this helps!

if ∧ ASC ≅ ∧ KSC then ∠8 is congruent to which angle

Answers

Answer:

i think it congruent to 6

12. An initial amount of 100 grams of the radioactive isotope thorium-234 decays according
to
A(t) = 100e^-0.02828t
where t is in years. How long will it be before half of the initial amount has disinte-
grated?

Answers

Answer:

Radioactive half-life An initial amount of 100 g of the radioactive isotope thorium-234 decays according to Q ( t ) = 100 e − 0.02828 t where t is in years.

Step-by-step explanation:

Slope-intercept equation from graph
of the line

Answers

Look it up on google please

I need help please...

Answers

10 for first and 16 for second. These are really easy.
One is 10 and second is 16

At the zoo, 457 students visit the giraffes and 315 adults visit the
giraffes. ABOUT how many people visited the giraffes in all? Round
to the nearest ten.

Answers

Answer:

About 770 giraffes

Step-by-step explanation:

457+315=772

Determine whether each equation represents
proportional relationship. If it does, identify the
constant of proportionality.
a. y = 0.5x - 2
b. y = 1,000x
c. y=x+1

Answers

Answer:

b) y = 1,000x

If this incorrect sorry

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