sketch the region enclosed by the given curves. y = 3/x, y = 12x, y = 1 12 x, x > 0

Answers

Answer 1

To sketch the region enclosed by the given curves, we need to first plot each of the curves and then identify the boundaries of the region.The first curve, y = 3/x, is a hyperbola with branches in the first and third quadrants. It passes through the point (1,3) and approaches the x- and y-axes as x and y approach infinity.


The second curve, y = 12x, is a straight line that passes through the origin and has a positive slope.The third curve, y = 1/12 x, is also a straight line that passes through the origin but has a smaller slope than the second curve.To find the boundaries of the region, we need to find the points of intersection of the curves. The first two curves intersect at (1,12), while the first and third curves intersect at (12,1). Therefore, the region is bounded by the x-axis, the two straight lines y = 12x and y = 1/12 x, and the curve y = 3/x between x = 1 and x = 12.To sketch the region, we can shade the area enclosed by these boundaries. The region is a trapezoidal shape with the vertices at (0,0), (1,12), (12,1), and (0,0). The curve y = 3/x forms the top boundary of the region, while the straight lines y = 12x and y = 1/12 x form the slanted sides of the trapezoid.In summary, the region enclosed by the given curves is a trapezoid bounded by the x-axis, the two straight lines y = 12x and y = 1/12 x, and the curve y = 3/x between x = 1 and x = 12.

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Related Questions

Solving Distributive Property Equations,






1. 2(x + 5) = 16 2. 3(t + 1) = 18












3. 3(x + 7) = 15 4. 2(3y – 5) = 14

















5. 2(3x + 1) = 8 6. 4(3y – 2) = 88


















7. 6(3k + 5) = 39 8. 9(3x – 5) = 9 8. 9(3x – 5) = 9

Answers

1. x=3
2. t=5
3. x=-2
4. y=4
5. x=1
6. y=88

Please help me
And I need the correct answer

Answers

The answer is A, 9 hours

Distance = rate of speed • time
765 = 85 • t
765/85 = t
9 = t
As you probably know, you can switch and mismatch the different terms in equations.


So since the equation for distance is d = r (or speed (s)) multiplied by time.


We can move speed to the other side of the equation by dividing it out.


I’ll be putting rate as speed instead btw.

d/s = t

Now we got the equation for time.



Just substitute and we get 765/85 = time, which is 9.


Answer: A. 9 hours

the area if a rectangle is 7 ¼ with leangth 2⁵/⁷ calculate its breadth​

Answers

Answer:

Can u explain it one more time their is alot of spelling errors

an internet company charges 20$ a month for service they also charge an initial installation fee if your bill for the first 3 months is 92$ how much was the installation fee? write an equation to solve this problem​

Answers

20 x 3 = 6092 - 60 = 32$32.00

What is the center of the circle shown below?
ma
A. SI
B. MN
C. N. D. 2

Answers

C i did it and I got it right

The requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
In the given diagram, we can see a circle, and it is indicated that the center of the circle is L. The center of a circle is a point that is equidistant from all points on the circumference of the circle. This means that if we draw a line segment from the center to any point on the circumference of the circle, the length of that line segment will be the same as the length of the line segment from the center to any other point on the circumference.

Thus, the requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

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In a factory, eggs are packaged in groups of six per box how many full boxes of eggs can the factory make with 937 eggs

Answers

Answer:

156 boxes

Step-by-step explanation:

Simply divide the total amount of eggs (937) by the amounts which are packaged in the boxes (6)

937 / 6 = 156 [tex]\frac{1}{6}[/tex]

So there are 156 full boxes and 1 egg left

Since you can't pack one egg, the answer is 156 boxes

Answer:

156

Step-by-step explanation:

937 ➗ 6 which 156.16667 near to 156

what value of x makes the equation 0.75(x+20)=2+0.5(x−2) true?

Answers

Answer:

x= -56..................

please help asap!!!!

Answers

Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

can you please help me solve this equation using substitution? I’ve been trying to solve it for so long and can’t do it.

2x-y=5 and 3x+y=-9

Answers

Answer:

x=-4/5 y= -33/5

Step-by-step explanation:

y=-3x-9

2x+3x+9=5

       5x=-4

x=-4/5

Then plug it in into an equation.....2(-4/5)-y=5

-8/5-y=25/5

-y=33/5

y=-33/5

You can check if you want

Answer:

x = -4/5, y = -6 3/5

Step-by-step explanation:

The way to use substitution to solve is to isolate (Put it on one side without anything else on that side of the equation) a variable. We can use the first equation to isolate y. We can add y on both sides to get that 2x = y + 5 and then subtract by 5 on both sides to get that y = 2x - 5. Next, we can substitute 2x - 5 in for y in the second equation because y = 2x - 5. We would get that 3x + 2x - 5 = -9, so 5x - 5 = -9, and if you add by 5 on both sides, you get 5x = -4. Finally, we can divide by 5 on both sides to get that x = -4/5. If you want to find y, we can find it by substituting x into the equation 2x - 5 = y. 2 * -4/5 - 5 is equal to y, so -8/5 - 5 = y, and lastly, y = -6 3/5

You have 5 cells and they double everyday. How many cells will you have after 8 days

Answers

Answer:

40

Step-by-step explanation:

5 cells x 8 days = 40 cells

your welcome.

Answer:

[tex]5^{2} (8)[/tex] = 200

Step-by-step explanation:

[tex]5^{2} = 25[/tex] 200In 8 days you will have 200 cells

NEED HELP ANSWER CORRECTLY PLS FOR A GRADE GIVING BRAINLIEST

Answers

Answer:

im pretty sure is c. but not 100 percent

prove that...

sin A = Cos (90°- A)​

Answers

Step-by-step explanation:

assuming A=90 degree and B =A

cos90=0 and sin90=1

Analyze the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas. Explain your answer in 1–2 sentences

25 POINTS!

Answers

Answer:

Step-by-step explanation:

Firstly, we should begin to know what leveling off is.

Leveling off- to stay the same after a period of increase

Nearing the end of the graph you can see there is no continuous increase for the rotifers. That can be explained by carrying capacity. The flask has limited space.

There is no continuous increase for the rotifers.

We have given that the scatter diagram

And we have to determine, the graph and identify some factors that may contribute to the rotifer population leveling off in the absence of water fleas

What is the leveling off?

Leveling off- to stay the same after a period of increase

Nearing the end of the graph you can see there is no continuous increase for the rotifers.

That can be explained by carrying capacity.

The flask has limited space.

Therefore, there is no continuous increase for the rotifers.

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Helppppp, I don’t knowwww

Answers

Answer:

1 and 4 and 2

Step-by-step explanation:

PLS PLS PLS I NEED HELP WITH MATH!!!! GAVE OFF ALL MY POINTS FOR THIS PLEASE GIVE A GOOD ANSWER!!!!!

1. a closed figure made up of line segments

2. any face that is not a base

3. three-dimensional figure with a polygon base and triangles for all other faces

4. three-dimensional figure with two parallel, congruent, polygonal faces and parallelograms for all other faces

5. the perpendicular width of a plane figure

6. a two-dimensional representation of a three-dimensional shape when unfolded

7. a plane figure that is one side of a solid figure

8. a prism with a rectangular base and right angles between the base and sides

9. geometric figure with three dimensions

10. a prism with a triangular base and right angles between the base and sides

Answers

hi! im chimken and i have your answers!!!

1. polygon: is a closed figure where the sides are all line segments.

2. lateral face: a side of three-dimensional figure that is not a base.

3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.

4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.

5. i don't know this one :(

6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.

7. face: is a plane figure that serves as one side of a solid figure.

8. i don't know this one :(

9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.

10. triangular prism: with a known base and height of its face.

i hope this helped!!!

braise bingus!

ayda porfavor si quieren mas puntos solo contesten bien

Answers

es la respuesta del de abajo pero es 62 no 61 ya que marca 61,5 y se aproxima 62 sí o sí xf

Meena cuts a 287-in. long ribbon into 2 pieces in the ratio 3 : 4. What is the length of the longer piece of ribbon? (ASAP) ​

Answers

Answer:

164 inches

Step-by-step explanation:

First, add 3 and 4

3+4= 7

Then divide 287 by 7

287/7= 41

Then, multiply 4 (from the ratio) by 41

4*41= 164

To get the length of the shorter piece, subtract 164 from 287

287-164= 123

Check your work:

123+164= 287

Hope this helps!

8. Complete the following table. 5x-2y = 6

Answers

Answer:

x=2/5y+6/5

Step-by-step explanation

5x-2y=6

5x-2y+2y=6+2y

5x=2y+6

step 2

5x/5=2y+6/5

x=2/5y+6/5

A certain forest covers an area of 4000km^2. Suppose that each year this area decreases by 3.5%. What will the area be after 9 years?

Answers

Simply will say
4000(3.5%) = 140 km^2
So each year will decrease by 140km^2
To find till 9th years it will be
4000-(140*9)=2740 km^2
Area after 9 years is 2740 km^2

properties of a cube​

Answers

Answer:

Step-by-step explanation:

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

Use the Distributive Property to simplify the expression. 8(s−1) =

Answers

Answer:

the answer would be 8s -8

Step-by-step explanation:

I learned this a long time ago

Answer:

anong grade Yan tol??g7 g7 g8 g9 g10 g11 g12?

What is the domain of the function represented by this graph?

Answers

domain is all the x values represented
domain here is infinitely because it can go on forever to the left and to the right

I need help with this question. I need to find the perimeter of the hexagon RSTUVW.​

Answers

9514 1404 393

Answer:

  47.71

Step-by-step explanation:

Two "special" triangles are involved.

ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.

ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.

For ΔSWR, the side SW is given as 6, so the other sides are ...

  WR = 6√3

  RS = 2(6) = 12

For ΔUVW, the side WU is given as 8, so the other sides are ...

  UV = VW = 8/√2 = 4√2

Then the perimeter of the figure is ...

  P = RS +ST +TU +UV +VW +WR

  P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71

Solve: 3c-c when c=9

Answers

Answer:

18

Step-by-step explanation:

give brainlyest???????

Answer:

18

Step-by-step explanation:

3*9-9

3*9=27

27-9=18

Hope this helpsss :)

Function E is a linear function with an initial value of $2$ , and a rate of change of $\frac{1}{3}$
.

Function F is a linear function. The graph of function F includes the points $\left(2,\ 8\right)$ and $\left(0,\ 2\right)$ .

Which statement is true?

A The two functions have the same initial value.

B The two functions have the same rate of change.

C The initial value in function F is greater than the initial value in function E.

D The rate of change in function E is greater than the rate of change in function F.

Answers

Answer:

d

Step-by-step explanation:

The true statement: A The two functions have the same initial value.

What is a linear function?

A linear function has a straight line as its graph.

A linear function has the form shown below.

a + bx = y = f (x).

A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.

We know that function E is a linear function with an initial value of 2 and a rate of change of 1/3. Therefore, the equation for function E can be written as:

E(x) = (1/3)x + 2

We also know that function F is a linear function that includes the points (2, 8) and (0, 2).

We can use the two points to find the slope of the line and then use the point-slope form to write the equation for function F.

The slope of F = (8 - 2) / (2 - 0) = 6/2 = 3

Using point-slope form with the point (2, 8), we get:

F(x) - 8 = 3(x - 2)

F(x) = 3x + 2

Now we can compare the two functions.

A. The initial value of function E is 2, while the initial value of function F is 2 + 3(0) = 2. Therefore, statement A is true.

B. The rate of change of function E is 1/3, while the rate of change of function F is 3. Therefore, statement B is false.

C. The initial value of function F is 2, which is the same as the initial value of function E. Therefore, statement C is false.

D. The rate of change of function E is 1/3, which is less than the rate of change of function F, which is 3. Therefore, statement D is false.

Therefore, the only true statement is A. The two functions have the same initial value.

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The segment AB has the endpoints A(1,5) and B(3,2). The segment is translated 2 units down and 2 units right. What are the endpoints of the translated segment A'B'?

Answers

The endpoints of the translated segment A'B' after undergoing the given translation is; A'(3, 3) and B'(5, 0)

How to carry out translation transformation?

In transformation in mathematics, there are different types such as dilation, reflection, rotation, translation e.t.c

Now, in this case what we are dealing with is translation which simply means moving an object or figure from one point to the other without changing the shape or dimensions.

To translate the point AB(x, y) , 2 units down and 2 units right, we will use the translation rule;

A'B'(x + 2, y − 2) .

We are given the coordinates of AB as A(1,5) and B(3,2)

Thus;

A'(1 + 2, 5 - 2) = A'(3, 3)

B'(3 + 2, 2 - 2) = B'(5, 0)

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please help me with this

Answers

Answer: D. 3[tex]\sqrt[3]{20}[/tex]

Step-by-step explanation:

Answer:

think A or B  

Step-by-step explanation:

i am not  sure

PLEASE HELP ASAP
What is (-105 + (-35) X(-3 + 5)?

Answers

Answer:

-175 I believe

Step-by-step explanation:

Answer:

-280

Step-by-step explanation:

-105+-35= -140

-3+5= 2

-140*2= -280

Hope this helps others

What is the missing value in the image above? *

Answers

Answer:

8

Step-by-step explanation:

because there is nothing to subtract 8 from

What is the answer for x?
-7=3.5+5x

Answers

Answer:

x=-2.1

Step-by-step explanation:

The answer is x = -2.1
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