What is the area of the figure below​

The vertical asymptotes are 2 and 3 and horizontal asymptotes is 2

An asymptote is a horizontal/vertical oblique line whose distance from the graph of a function keeps decreasing and approaches zero, but never gets there.

Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function.

Therefore, the denominator is x²-5x+6,

= x²-5x+6 = 0

using factorization method

x²-3x-2x+6 = 0

(x²-3x)(-2x+6) = 0

x(x-3) -2(x-3)

x-2 = 0 or

x-3 = 0

x = 2 or 3

The degree of the power of numerator and denominator are equal, there for the horizontal asymptote y = 2x²/x² = 2

therefore the vertical asymptote is x = 2and 3 and horizontal asymptote is y = 2

learn more about vertical and horizontal asymptote from

https://brainly.com/question/4138300

#SPJ1

Answer:

170

Step-by-step explanation:

use the formula An = A1 + d(n-1) to identify the arithmetic sequence. An = 9n - 1

pls mark as brainliest lol

9514 1404 393

Answer:

  (2x -1) by (x +5)

Step-by-step explanation:

We presume that the dimensions of the parking lot correspond to factors of the polynomial. The factorization is ...

  2x^2 +9x -5

  = 2x^2 +10x -x -5

  = 2x(x +5) -1(x +5)

  = (2x -1)(x +5)

Possible dimensions of the parking lot are (2x-1) and (x+5).

Answer:2

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Given: (2, 4)

2 is the x coordinate, 4 is the y coordinate.

Answer:

4.1 is 10 x 0.41

9.2 is 10x .92

Can I have brainliest?

Step-by-step explanation:

4.1 is ten times as much as 0.41

9.2 is ten times as much as 0.92

[tex]\begin{array}{|c|c|} \cline{1-2}\text{Class} & \text{Frequency}\\\cline{1-2}20-29 & 5\\\cline{1-2}30-39 & 12\\\cline{1-2}40-49 & 9\\\cline{1-2}50-59 & 6\\\cline{1-2}60-69 & 3\\\cline{1-2}\end{array}[/tex]

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

Explanation:

The given data set is

{37, 60, 35, 38, 59, 34, 56, 42, 55, 48, 39, 33, 36, 35, 43, 52, 39, 64, 41, 35, 20, 31, 29, 45, 32, 54, 66, 44, 47, 45, 27, 24, 48, 28, 55}

It sorts to

{20, 24, 27, 28, 29, 31, 32, 33, 34, 35, 35, 35, 36, 37, 38, 39, 39, 41, 42, 43, 44, 45, 45, 47, 48, 48, 52, 54, 55, 55, 56, 59, 60, 64, 66}

The five values 20,24,27,28,29 are between 20 and 29. This means the first class or bin will have a frequency of 5.

The next interval spans from 30 to 39. There are 12 items in this interval, and those 12 items are this subset {31, 32, 33, 34, 35, 35, 35, 36, 37, 38, 39, 39}. This means we have a frequency of 12 for the interval from 30 to 39.

Keep this process going until you get to the end of the data set.

Answer:

Step-by-step explanation:

The ladder is the hypotenuse of the triangle with legs of 3 m and 10 m.

The length of the ladder is:

The answer in standard form is given by 65.7 ×10⁴

A standard form of a number in Maths is basically mentioned for the representation of large numbers or small numbers. We use exponents to represent such numbers in standard form.

Given here:  (6.31 x 10⁵)+(2.6 x 10⁴)

Simplifying the equation further we get

(6.31 x 10⁵)+(2.6 x 10⁴)= 63.1×10⁴+2.6×10⁴

                                    =65.7×10⁴

Hence, The answer in standard form is given by 65.7 ×10⁴

Learn more about the standard form here:

https://brainly.com/question/29000730

#SPJ1

Answer:

? = 74°

Step-by-step explanation:

• in a parallelogram, consecutive angles sum to 180° , that is

? + 106° = 180° ( subtract 106° from both sides )

? ( ∠ G ) = 74°

Zachary expects to make $40 + $7 x tt (number of tables) in a day when waiting on tt tables

If Zachary waits on 11 tables, he can expect to make an additional $7 in tips for each table, for a total of 11 tables * $7/table = $77 in tips.

When added to his guaranteed wage, Zachary can expect to earn $40 (guaranteed wage) + $77 (tips) = $117 for that day.

To calculate how much Zachary would expect to make in a day when waiting on tt tables, we can use the equation:

Earnings = $40 (guaranteed wage) + $7 (tips/table) x tt (number of tables)

So if tt represents the number of tables Zachary waits on, then he can expect to earn:

Earnings = $40 + $7 x tt

For example, if Zachary waits on 15 tables, he can expect to earn $40 + $7 x 15 = $190.

Zachary can use this equation to calculate his expected earnings for any number of tables he waits on in a day.

Learn more about the concept of linear equations and the use of variables to represent unknown values here: https://brainly.com/question/29802987

#SPJ4

The length of the arc that subtended an angle of 120° with a radius of 27 m is 18π m.

We know that the length of the arc of a circle = Radius of the circle × angle subtended by the arc (in radians)

Here radius of the circle is 27 m

The angle subtended is 120°

Hence we will first convert the angle into radians

Angle in radians = Angle in degree X π/180

= 120 X π/180

= 2π/3

Therefore, the length of the arc = 27 X 2π/3

= 18π m

Therefore, the length of the arc that subtended an angle of 120° with a radius of 27 m is 18π m.

To learn more about Arc visit

https://brainly.com/question/10266974

#SPJ4

Answer:

They are fluffy, and are great pets. They eat food and generally have the same bodily functions. The only difference is pet food, mental action (actions) and size. Also their tails.

Answer:

[tex]gradient = 2 \\ y - intercept = 0[/tex]

The gradient of this line is 2 and the y-intercept is (0, 0)

I think the answer is 4. She my attached picture of my work! I hope this helps you,have a great day!

By algebra properties and trigonometric formulas, the roots x₁ = 30° + n · 360° and x₂ = 210° + n · 360° are solutions of trigonometric function tan x - √(1 - 2 · tan² x) = 0. (Correct choice: B)

In this problem we find a given trigonometric function, whose solution must be found by combining algebra properties and trigonometric formulas. First, write the entire expression:

tan x - √(1 - 2 · tan² x) = 0

Second, use algebra and root properties:

tan x = √(1 - 2 · tan² x)

tan² x = 1 - 2 · tan² x

3 · tan² x = 1

Third, clear x by algebra properties and inverse trigonometric properties:

tan² x = 1 / 3

tan x = √(1 / 3)

tan x = 1 / √3

tan x = √3 / 3

x = tan⁻¹ (√3 / 3)

x  = 30° or x = 210°

Since tangent function has a period of 2π (360°), then the solutions of the trigonometric function is:

x₁ = 30° + n · 360°, x₂ = 210° + n · 360°.

To learn more on trigonometric equations: https://brainly.com/question/22624805

#SPJ1

In one min Charlie can read is [tex]2\frac{1}{7}[/tex] pages at a constant rate.

A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilize this technique for math computations.

In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or less quantities are subsequently determined. This approach is known as the unitary method for this reason. Due to the fact that they generate two distinct sorts of variations, there are two different types of unitary approaches.

In [tex]\frac{2}{3}[/tex] min Charlie can read [tex]1\frac{3}{7} = \frac{10}{7}[/tex] pages

In one min Charlie can read is: [tex]\frac{10}{7}*\frac{3}{2} = \frac{30}{14} = 2\frac{2}{14} =2\frac{1}{7}[/tex]

To learn more about Unitary Method refer to:

brainly.com/question/8726057

#SPJ1

Answer:

2 dolalrs

Step-by-step explanation:

The equation of the linear function is A(t) = -975t + 15000

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table of values, we have:

A(t)         t

11,100   4

7200   8

3300   12

From the above table of values, we can see that

As t increase by 4, the value of A(t) decreases by 3900

This means that the table of values is a linear relation, and the slope is

slope = -3900/4

slope = -975

A linear equation is represented as

y = mx + c

Where

slope = m

So, we have

A(t) = -975t + c

Using the points on the table, we have

11000 = -975 * 4 + c

Evaluate

c = 15000

So, we have

A(t) = -975t + 15000

Hence, the equation is A(t) = -975t + 15000

Read more about linear equation at

https://brainly.com/question/4074386

#SPJ1

Answer:

5π units

Step-by-step explanation:

The arc length of a semicircle is calculated as

length = [tex]\frac{1}{2}[/tex] πd ( d is the diameter ) , then

length = [tex]\frac{1}{2}[/tex] π × 10 = 5π units ← exact answer

The amount of snow on Peyton's lawn after 2 hours is 4 inches

amount of snow after t hours y = 8 - t

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable to suit the problem

y = output variable = amount of snow remaking

m = slope = 1 inch per hour

x = input variable = number of hours

c = y intercept = 8 inches of snow on Peyton's lawn

The equation as described in the problem is represented using linear function as as follows

y = 8 - x

in 2 hours x = 2

y =8 - 2 = 4 inches

The quantity of snow after t hours

x = t

y = 8 - t

Learn more on  linear models at :

https://brainly.com/question/29650903

#SPJ1

The point (1, -2) is not a solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, the correct option is NO, the solution is (2.5, -2.6)

A system of equations are two (or more) equations that have common variables.

The system of equation is presented as follows;

20·x + 20·y = -2

2·x + 5·y = -8

The specified possible solution of the equation is; (1, -2)

Making y the subject of each of the equations, and plugging in the value of x = 1, for the first equation, we get;

20·x + 20·y = -2

20·y = -2 - 20·x

y = (-2 - 20·x)/20

Therefore; y = (-2 - 20 × 1)/20 = -1.1

When x = 1, y = -1.1, therefore, the point (1, -2), is not a solution to the first equation, 20·x + 20·y = -2

Evaluating the second equation, we get;

2·x + 5·y = -8

5·y = -8 - 2·x

y = (-8 - 2·x)/5

Plugging in x = 1, we get;

y = (-8 - 2 × 1)/5 = -2

When x = 1, y = -2, therefore, the point (1, -2), is a point on the graph of the second equation, 2·x + 5·y = -8, but it is not a solution to the system of equation

The solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, can by found by equating both expressions for y as follows;

y = (-2 - 20·x)/20 and y = (-8 - 2·x)/5

Therefore; (-2 - 20·x)/20 = (-8 - 2·x)/5

-10 - 100·x = -160 - 40·x

60·x = 150

x = 150 ÷ 60 = 2.5

x = 2.5

y = (-2 - 20 × 2.5)/20 = -2.6

y = -2.6

Learn more about systems of linear equations here: https://brainly.com/question/11867840

#SPJ1

Range is f(x) < -2

* The < should have a line under it*

**Sorry i couldn't find the domain**

Answer:

6-L2

10-hypotenuse

Step-by-step explanation:

Pythagorean theorem

Answer:

120p

Step-by-step explanation:

if its 80 per meter then all you do is multiply 80 by 1.5 (1.5m = 1m 30cm) and you get 120p simple as that

Would be amazing if you marked this brainliest :)

Answer:

Its 22:40

Step-by-step explanation:

Answer: 22:40
Pretty simple

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Choose a variable to represent the number to be added to 5 and 3.

[tex]\frac{5+x}{3+x}=\frac{4}{3}[/tex]

"Cross-multiply."

[tex]3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x[/tex]

Check:  The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.

Answer:

155°

Step-by-step explanation:

The angle between the x and y axes is 90°

The required angle = 90° + 65° = 155°

Answer:

Well, y is 90˚ and another angle is 65˚ that means that the unknown angle must be 25˚

Step-by-step explanation:

Answer:

(x-2)(x²+2x+4)(x-6)

Step-by-step explanation:

6 |  1  -6  0  -8  48

_____6_0_0_-48__

     1   0   0  -8  |  0

As we can see, our remainder is 0, so x-6 is indeed a factor of the polynomial. Also, we can see that the factored polynomial is [tex]x^4-6x^3-8x+48=(x^3-8)(x-6)=(x-2)(x^2+2x+4)(x-6)[/tex]