What is the area of the shaded region on the graph shown?

Answers

Answer 1

Answer:

As Doris Day said: Good morning to you

Answer 27/2

Step-by-step explanation:

[tex]f(x)=-x^3+5x\\F(x)=-\dfrac{x^4}{4} +\dfrac{5x^2}{2} \\F(2)=\dfrac{-16}{4}+\dfrac{20}{2} =6\\\\F(-1)=\dfrac{-1}{4} +\frac{5}{2} =\dfrac{9}{4} \\g(x)=\dfrac{3x^2}{2}+\dfrac{x}{2}-5\\\\G(x)=\dfrac{x^3}{2} +x^2-5x\\\\G(2)=4+1-10=-5\\\\G(-1)=\dfrac{-1}{2} +\dfrac{1}{4} +5=\dfrac{19}{4} \\\\\int\limits^2_{-1} {(f(x)-g(x))} \, dx =F(2)-G(2)-(F(-1)-G(-1))\\\\=11+\dfrac{5}{2} =\dfrac{27}{2}[/tex]


Related Questions


In parallelogram ABCD, what is BDC?

Answers

Answer:

25

Step-by-step explanation:

<ABD=<BDC

Check it out

Answer:

∠ BDC = 25°

Step-by-step explanation:

Since ABCD is a parallelogram , then

AB and DC are parallel , so

∠ BDC = ∠ ABD = 25° ( alternate angles )

Which points are possible approximations for this system? Select two options.

Answers

Step-by-step explanation:

second: (2.2,-1.4)

third: (2.2,-1.35)

Step-by-step explanation:

hope it helps✨

G is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f?

Answers

Answer: f(x-2) which is choice A.

The blue f(x) curve is shifted 2 units to the right to get the red g(x) dashed curve.

============================================================

Explanation:

For now, ignore the red dashed curve g(x). Imagine that the blue curve f(x) is fixed in place. If we shifted the xy axis to the left 2 units, then this gives the illusion the blue curve is moving even though the curve is fixed in place.

The operation "shift xy axis 2 units to the left" means each x input is 2 units smaller. So each x input is now x-2.

Therefore, going from f(x) to f(x-2) will shift the blue curve 2 units to the right to land perfectly on the red dashed g(x) curve.

Correct answer gets 5 star

Answers

Answer:

Step-by-step explanation:

A

Which of the following statements is false?

Answers

Answer:

option D is false it's not parallelogram

Need answer asap the topic is inverses and cxompositions in algebra 2

Answers

Answer:

2nd option

Step-by-step explanation:

To find g(f(x)) , substitute x = f(x) into g(x)

g(x + 3) = [tex]\sqrt{x+3}[/tex] + 7

Answer:

To find g(f(x)) , substitute x = f(x) into g(x)

g(x + 3) = \sqrt{x+3}

x+3

Find angle CBA

pls help

Answers

Answer:

40

Step-by-step explanation:

u can draw a line at point c parallel to line ab

angle at d and lower part of c is interior angle so u can find the value at lower part of c that is 180-145=35

so point c 75-35=40 is upper part of point c

upper part of c and angle b is alternate angle so both angle are the same

angle cba is 40

Answer:

<CBA = 40°

Step-by-step explanation:

If AB is parallel to DE, you can make an irregular pentagon by continuing AB and drawing a line perpendicular to DE.  The sum of the interior angles of a pentagon is 540.  You can use this to solve for the supplement of <CBA, then subtract that from 180.  (I’m sure there’s an easier way, but I cant think of one right now).

540-90-90-145-75=x

140=x

<CBA=180-140= 40°

can you please help me with this.

Answers

Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

[tex]a_n=a_1+d(n-1)[/tex]  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

[tex]a_n=2+3(n-1)[/tex] which simplifies to

[tex]a_n=2+3n-3[/tex] and a bit more to

[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

[tex]a_{13}=3(13)-1[/tex] so

[tex]a_{13}=38[/tex]

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

What does media literacy mean?
A. The practice of reading things that are on a screen
B. The practice of being able to identify the different types of media
C. The practice of being able to access, analyze, and evaluate media
D. The practice of using multiple media at one time

Answers

Answer:

C.

Step-by-step explanation:

Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.

Please someone explain

Triangles and angles


X=______ degrees


X 48




96

Answers

Exterior Angle property = sum of interior opposite angle is equal to the exterior Angle

x= 48+96

x= 144°

Answer:

144°

Step-by-step explanation:

x is an exterior angle of the triangle.

Angles 96° and 48° are interior angles of the triangle that are not adjacent to angle x. Angles 96° and 48° are called the "remote interior angles" of exterior angle x.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

x = 48 + 96

x = 144

Answer: 144°

HELPHELPHELPHELPHELP

Answers

Answer:

2¼ mph

Step-by-step explanation:

It takes ⅓hour to walk to the library.

⅓ •3 = 1 hour

¾ • 3 = 9/4 = 2¼ miles/hour

In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°

Answers

Answer:

9.013 square units

Step-by-step explanation:

solve for θ:

sin(θ-70)=cos(θ)

pls help and explain step by step
thank you ​

Answers

Answer:

Use this rule : cosx = sin (90 - x)

sin( x -70) = sin (90 - x)

x-70 = 90 - x

2x = 160

x = 80

how can i learn math well?

Answers

Redo the answers over and over until you understand the situation

Answer:

you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh

A picture is 46 cm by 32 cm. A scale diagram of the picture must fit in a space that is 3 m by 2 m. Which scale would be the most reasonable one to use for the scale diagram?

Answers

Answer:

A picture that is 46cm by 32 cm must fit in a space that is 3m by 2m

First, let's rewrite both of these dimensions in the same units.

Knowing that:

1m = 100cm

Then the dimensions of the space can be rewritten from:

3m by 2m

to:

300cm by 200cm

So, if we enlarge our original picture by a scale factor K, the new dimensions of the picture will be:

K*46cm by K*32cm

Now we just need to find a value of K such that:

K*46cm is something near to 300cm

K*32cm is something near to 200cm

First, we can solve the equation:

K*46cm = 300cm

solving this for K we get:

K = 300cm/46cm = 6.5

While if we solve the equation:

K*32cm = 200cm

we get:

K = 200cm/32cm = 6.25

So we got two possible scale factors.

Which one we should take?

Notice that if we wanted to use the larger one (K = 6.5) for the 32cm side. the new length would be:

32cm*6.5 = 208cm

This is larger than the 200cm of space that we have

Then we can not select the larger option, we can only take the other value:

K = 6.25

Then we can conclude that a reasonable scale factor to use is K = 6.25

What is the range & domain of the set
R: {(−4, 23), (25, 17), (-15, -29), (32, 21), (3, −10)}

Answers

This question is solved using range and domain concepts. Doing this, it is found that:

The domain is: {-15, -4, 3, 25, 32}The range is: {-29, -10, 17, 21, 23}

--------------------------------------

Domain: In a data-set, the domain is composed by the input values.Range: In a data-set, the range is composed by the output values.

--------------------------------------

In a set of ordered pairs, the first term in a pair represents the input and the second represents the output.In this set, the inputs are: -4, 25, -15, 32, 3The outputs are: 23, 17, -29, 21, -10

Thus:

The domain is: {-15, -4, 3, 25, 32}The range is: {-29, -10, 17, 21, 23}

A similar question is given at https://brainly.com/question/18141895

Use the interactive to solve. What is the difference between –5 and 3?​

Answers

The answer is -8
difference is another way to say subtract so it could be shown as (-5) - 3

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{When you hear the word \underline{\underline{difference}} in math it means subtract/}\\\large\text{subtraction}[/tex][tex]\large\text{When you hear the word \underline{\underline{sum}} in math it means add/addition}[/tex][tex]\large\text{When you hear the word \underline{\underline{product}} in math it means multiply/}\\\large\text{multiplication}[/tex][tex]\large\text{When you hear the word \underline{\underline{quotient}} it means divide/division}[/tex]

[tex]\large\text{Question reads \underline{\underline{What is the \boxed{\large\text{DIFFERENCE}} between -5 \& 3}} ?}[/tex]

[tex]\large\text{Fun fact: you can use a number line to find your result as well.}\\\large\text{For example in this equation you START at -5 and move down 3}\\\large\text{spaces to your left}[/tex]

[tex]\large\text{REMEMBER: we said difference means \boxed{\large\text{subtract}}, so we have to}\\\large\text{\underline{subtract} both numbers from each other to find their differences.}[/tex]

[tex]\large\text{-5 - 3}\\\large\text{= \bf -8}[/tex]

[tex]\large\text{So, the DIFFERENCE between -5 \& 3 is \boxed{\bf -8}}[/tex]

[tex]\boxed{\boxed{\huge\text{The difference is: \boxed{\bf -8}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Solve : 3X + 3x + 1 + 3x + 2 = 39​

Answers

Step-by-step explanation:

[tex]3x + 3x + 1 + 3x + 2 = 39 \\ 9x + 3 = 39 \\ 9x = 39 - 3 \\ 9x = 36 \\ x = \frac{36}{9} \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

combine all of the 3x first to get:

9x + 1 + 2 = 39

9x + 3 = 39

subtract 3 from both sides:

9x = 36

divide by 9

x = 4

Find the surface area of the composite figure,
2 cm
6 cm
14 cm
8 cm
8 cm
4 cm
6 cm
2 cm
SA = [?] cm²​

Answers

It’s 77 so we don’t know how about it is

2, Nine people fit comfortably in a 3 ft. by 3 ft. area. Use this value to
estimate the size of a crowd that is 8 yards deep and 1 mile long.
Determine the Ratio? A
Ratio = 9 x (3x3). B
O Ratio = 9/3
C
Ratio = 9/(3x3)
D Ratio = 8/5280

Answers

The ratio for Nine people fit comfortably in a 3ft by 3ft area is [tex]\frac{9}{3X3}[/tex]

Option C [tex]Ratio =\frac{9}{3X3}[/tex]

Size of crowd: [tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Given :

Nine people fit comfortably in a 3 ft. by 3 ft. area

To find : we need to estimate the size of a crowd that is 8 feet deep and 1 mile long. we need to determine the ratio as well

Ratio = number of people / total area

[tex]Raio=\frac{9}{3X3}[/tex]

To find the size of the crowd , convert yards into feet and mile into feet

1 yard = 3 miles

8 yards= 3 times 8 = 24 feet

1 mile = 5280 feet

Now we find the area in feet

[tex]24 \cdot 5280[/tex]

size of the crowd=ratio times the area in feet

[tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Learn more : brainly.com/question/24367786

85°
4x + 21°
what do I am suppose

Answers

Answer:

x= 16

4x+21 = 85 degrees

Step-by-step explanation:

The angles shown are vertical angles and vertical angles are equal

85 = 4x+21

Subtract 21 from each side

85 -21 = 4x+21-21

64 = 4x

Divide by 4

64/4 = 4x/4

16 = x

Answer:

16degrees

Step-by-step explanation:

As these angle are (vertically opposite angles)

So,85=4x+21,

85-21=4x

x=64/4

x=16degrees

Answer ASAP please!

Answers

Answer:

"A" seems to be incorrect....

Step-by-step explanation:

"A" seems to be incorrect....

[tex]\frac{\left(\sin \left(60^{\circ \:}\right)\cdot \:300\right)}{\sin \left(90^{\circ \:}\right)}=150\sqrt{3}\quad \begin{pmatrix}\mathrm{Decimal:}&259.80762\dots \end{pmatrix}[/tex]

Angela has a rectangular piece of paper and cuts a rectangle out of a corner what are the area and perimeter of the resulting shape help me find the perimeter only

Answers

The perimeter of a shape is the summation of the visible lengths of the shape. The area; however, is the product of the length and the width of the shape

The perimeter of the figure is 74cm and the area of the figure is 231 square cm

I've added shape as an attachment.

The perimeter is the sum of all side lengths. So, we have:

[tex]Perimeter = 6cm + 7cm + 15cm + 9cm + 21cm + 16cm[/tex]

[tex]Perimeter = 74cm[/tex]

To calculate the area, we split the shape into 2.

The first has the following dimension:

[tex]Length = 6cm[/tex]

[tex]Width = 7cm[/tex]

While the second has the following dimension

[tex]Length = 21cm[/tex]

[tex]Width = 9cm[/tex]

The area of the shape is:

[tex]Area = 6cm \times 7cm + 21cm\times 9cm[/tex]

[tex]Area = 231cm^2[/tex]

Hence, the shape has a perimeter of 74cm and an area of 231 square cm

Read more about area and perimeters at:

https://brainly.com/question/11957651

a kitchen floor is 9 feet long and 6 feet wide. the number of yards of molding needed to old the linoleum around the outside edge is

Answers

Answer:

30 feet

Step-by-step explanation:

The molding needed would be equal to the perimeter of the kitchen floor. The perimeter of the kitchen floor is 2*(9+6)=30 feet

A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

How to find the perimeter of a rectangle?

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = 2(L + W) \: \rm unit

A kitchen floor is 9 feet long and 6 feet wide is given.

The molding needed would be equal to the perimeter of the kitchen floor.

The perimeter of the kitchen floor = 2 (9+6)

The perimeter of the kitchen floor = 30 feet

Therefore, A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

Learn more about the perimeter;

https://brainly.com/question/4762047

#SPJ2

A class of 245 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.

Answers

5 busses, 4 cars. 5x45= 225. 4x5=20. 225+20=245

Answer:

4 cars and 5 buses

Step-by-step explanation:

245÷ 45=5.4

45×5=225

245-225=20

20÷5=4

PLEASE HELP IT IS DUE IN TWO HOURS AND I CANT UNDERSTAND IT PLSSSSSS

Answers

Answer:

The distance from Tre’s house to Owen’s house is 10 miles.

The distance from Owen’s house to Alejandro’s house is 14 miles.

The distance from Alejandro’s house to the beach is about 10.77 miles.

The total distance of the trip to the beach is about 33.53 miles

Step-by-step explanation:



A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.​

Answers

Answer:

A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.

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Pls help and fast! 17 points!

Answers

Answer:

54 square units

Step-by-step explanation:

144 - 18 - 4(18) = 54 square units

what is the one solution for the linear equations y=3x-5 and y=-3x+7

Answers

Answer:

y=1 and x=2

Step-by-step explanation:

Add the two linear equation and you will have 2y=2, y=1. Plugging this in any equation, we have x=2

Answer:

The solution is (2,1)

Step-by-step explanation:

Set the two equations equal

y=3x-5 and y=-3x+7

3x-5 = -3x+7

Add 3x to each side

3x-5+3x = -3x+7+3x

6x-5 = 7

Add 5 to each side

6x-5+5 = 7+5

6x = 12

Divide by 6

6x/6 = 12/6

x=2

Now find y

y =3x-5

y=3(2)-5

y = 6-5

y=1

The solution is (2,1)

please help with question 6.
A,b,c and d

Answers

9514 1404 393

Answer:

  a) 6.4 m

  b) 5.7 m

  c) 6.3 m

  d) 6.0 m

Step-by-step explanation:

The benefit of using a spreadsheet for repetitive calculations such as these is that it can also help with the addition/subtraction necessary to find the length not given directly.

In the attached, the "a" length is the one requiring arithmetic; the "b" length is given directly on the diagram, and the "c" length is the hypotenuse of the right triangle with legs "a" and "b". "c" is the direct distance from A to B.

For example, consider figure (a). The horizontal distance from A to B is 10 m-6 m = 4 m. In the attached spreadsheet that difference is entered in row 'a', column 'a' as "=10-6". The length "c" is computed using the Pythagorean theorem:

  c² = a² +b²

  c = √(a² +b²)

For figure (a), this is ...

  c = √(4² +5²) = √41 ≈ 6.4 . . . meters

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