. determine all horizontal asymptotes of f(x) = [x-2]/[x^2 1] 2 determine all vertical asymptotes of f(x) = [x-2]/[x^2-11] 2

Answers

Answer 1

A horizontal asymptote is a straight line that a function approaches as x approaches infinity or negative infinity.

For the function f(x) = (x-2)/(x^2 + 1):

Horizontal asymptotes:

As x approaches infinity or negative infinity, the highest degree term in the numerator and denominator are the same, which is x^2. Therefore, we can use the ratio of the coefficients of the highest degree terms to determine the horizontal asymptote. In this case, the coefficient of x^2 in both the numerator and denominator is 1. So the horizontal asymptote is y = 0.

Vertical asymptotes:

Vertical asymptotes occur when the denominator of a rational function equals zero and the numerator does not. So, to find the vertical asymptotes of f(x), we need to solve the equation x^2 + 1 = 0. However, this equation has no real solutions, which means that there are no vertical asymptotes for f(x).

For the function f(x) = (x-2)/(x^2 - 11):

Vertical asymptotes:

To find the vertical asymptotes, we need to solve the equation x^2 - 11 = 0. This equation has two real solutions, which are x = sqrt(11) and x = -sqrt(11). These are the vertical asymptotes of f(x).

Horizontal asymptotes:

As x approaches infinity or negative infinity, the highest degree term in the numerator and denominator are x and x^2 respectively. Therefore, the horizontal asymptote is y = 0. However, we also need to check if there are any oblique asymptotes. To do this, we can use long division or synthetic division to divide the numerator by the denominator. After doing this, we get:

    x - 2

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

x^2 - 11 | x - 2

          x - sqrt(11)

        ------------

              sqrt(11) + 11

           sqrt(11) + 2

         --------------

               -9

Since the remainder is a non-zero constant (-9), there are no oblique asymptotes. So the only asymptotes for f(x) are the vertical asymptotes x = sqrt(11) and x = -sqrt(11).

To learn more about asymptote visit:

brainly.com/question/28822186

#SPJ11


Related Questions

Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to Yeony2022, tysm for the help!

Answers

Answer:

b

Step-by-step explanation:

b shows direct variation because we can clearly tell that the slope of the graph is 1/2. The graph is also linear, and it crosses the origin (0,0).

a: This graph can be represented as y=2, and that is not a direct variation.

b: Above explanation. This graph is a direct variation.

c: This graph can be represented as x=-8, and that is not a direct variation.

d: This graph has the slope, but it does not cross the origin, so it is not a direct variation.

Answer:

Graph b

Step-by-step explanation:

Direct variation means "y varies directly as x”:

Direct variation equation:

[tex]y=kx[/tex]

where k is the (non-zero) constant of variation.

Note, therefore, that a direct variation equation passes through the origin,  as when x = 0:  

[tex]\implies y=k(0) \implies y=0[/tex]

Graph a

y does not change as x varies.

Therefore this graph does not model a direct variation.

Graph b

As x gets bigger, so does y.  As x gets smaller, so does y.  

The line passes through the origin (0, 0).

Therefore this graph models a direct variation.

Graph c

x does not change as y varies.

Therefore this graph does not model a direct variation.

Graph d

As x gets bigger, so does y.  As x gets smaller, so does y.  

However, the line does not pass through the origin (0, 0).

Therefore this graph does not model a direct variation.

Find the surface area of the composite figure. Round to the nearest tenth if necessary.

Answers

By definition of surface area, the composite figure reports an area of 233.6 square centimeters.

How to calculate the surface area of a composite figure

In this question we need to determine the surface area of a composite figure, which is the sum of all the areas of the faces, which are combinations of triangles and quadrilaterals. Now we proceed to calculate the surface area:

A = 2 · (6 cm) · (3 cm) + 2 · (8 cm) · (6 cm) + 2 · (8 cm) · (3.6 cm) + 2 · (8 cm) · (2 cm) + 4 · (1/2) · (3 cm) · (2 cm)

A = 233.6 cm²

By definition of surface area, the composite figure reports an area of 233.6 square centimeters.

To learn more on surface areas: https://brainly.com/question/2835293

#SPJ1

the current value of a new car is 18,000. the car will depreciate 15% per year over the next 5 year. which exponential equation models this situation

Answers

The exponential equation that models this situation is:

[tex]V(t) = 18000(0.85)^t, 0 \leq t \leq 5[/tex].

What is an exponential function?

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

For this problem, the parameters are:

A(0) = 18000, r = 0.15.

Hence the equation for the value of the car over the next 5 years is:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 18000(1 - 0.15)^t[/tex]

[tex]V(t) = 18000(0.85)^t, 0 \leq t \leq 5[/tex].

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

A group of birds are flying, they meet another group of birds. They ask 'hello hundred.' They replied we are not 100. we need half of us plus you to be hundred. How many birds are needed?​

Answers

Answer:

Step-by-step explanation:

You answer

The vertices of a quadrilateral on the coordinate plane are (2, 4), (-4, -2), (-2, 4), and (4, -2). What type of quadrilateral has these vertices

Answers

Answer: Isosceles Trapezoid

Step-by-step explanation:

See the graph of the quadrilateral.

A freezer is shaped like a rectangular prism. It has a length of 8 feet and a height of 3 feet. The volume is 54 cubic feet. Find the width of the freezer.

show your work

Answers

The width of the freezer is 2.25ft

Volume of a rectangular prism

The formula for calculating the volume of rectangular prism is expressed as:

V = lwh

Given the following

length l = 8feet

w is the width

height h = 3feet

Substitute

54 = 8*3w

54 = 24w

w = 54/24

w = 2.25ft

Hence the width of the freezer is 2.25ft

Learn more on volume of rectangular prism here: https://brainly.com/question/4062480

#SPJ1

PLEASE ANYONE: The tennis club has 5 new members each member buys a racet and a tube of balls. If 6 racket cost $186.00 and 6 tubes of balls cost $27.00 how much do the 5 people pay for rackets and balls?

Answers

Answer:

Total cost is $177.50.

Step-by-step explanation:

Rackets:

Divide the cost for racket by 6 to find the cost per racket.

186÷6=31

Multiply 31 by 5 to find the cost for 5 rackets.

31×5=155

$155

Tubes of balls:

Divide 27 by 6 to find the cost per a tube of balls.

27÷6=4.50

Multiply 4.50 by 5 to find the cost for 5 tubes of balls.

4.50×5=22.50

$22.50

Add the amounts for rackets and tubes of balls to find the total cost.

155+22.50=177.50

The total cost is $177.50.

Hope this helps!

Determine the length of side QR in the following triangle

Answers

The length of the side QR in the task content can be determined as; 12.22cm.

What is the length of the third side QR?

It follows from the task content that 2 lengths and one included angle are given in the task content. It therefore follows that the length of side QR can be evaluated by the cosine rule as follows;

QR² = 13² + 4² - (2×4×13×cos70)

QR = √149.4

QR = 12.22cm

Read more on cosine rule;

https://brainly.com/question/23720007

#SPJ1

find the smallest number by which 29160 should be divided so that the quotient becomes a perfect cube

Answers

The smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

Perfect cube quotient of a division

The given number is 29160

Note that:

29160 can be factored into 5832

That is, 29160 = 5832 x 5

Take the cube of 5832:

[tex]\sqrt[3]{5832}=18[/tex]

Since it has been confirmed that 5832 is a perfect cube, the smallest number by which 29160 should be divided so that the quotient becomes a perfect cube is 5

Learn more on perfect cube quotient here: https://brainly.com/question/17448146

#SPJ1

helppppppp please help help

Answers

The y-value of the terminal point of the vector is 3.

How to determine the resulting vector by applying rotation about the origin

In this question we must apply a matricial form of rotation, which is a kind of rigid transformation. This transformation is defined by the following formula:

[tex]\vec A' = \vec T\cdot \vec A[/tex], where [tex]\vec A' , \vec A \in \mathbb{R}_{1 \times 2}[/tex], [tex]\vec T \in \mathbb{R}_{2 \times 2}[/tex]

If we knw that [tex]\vec A = \left[\begin{array}{c}- 4\\3\end{array}\right][/tex] and [tex]\vec T = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right][/tex], then the transformed vector column is:

[tex]\left[\begin{array}{cc}x\\y\end{array}\right] = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right] \cdot \left[\begin{array}{cc}-4\\3\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}x\\y\end{array}\right] = \left[\begin{array}{cc}4\\3\end{array}\right][/tex]

The y-value of the terminal point of the vector is 3.

To learn more on rotations: https://brainly.com/question/12091224

#SPJ1

The length of the rectangle is 10.4cm. the perimeter of the rectangle is 28cm. calculate the area of the rectangle.

Answers

Answer:

37.44 cm²

Step-by-step explanation:

To find the width, follow these steps.

10.4*2=20.8

28-20.8=7.2

7.2/2=3.6

The width is 3.6.

To find the area, multiply the width and the length together.

10.4*3.6=37.44

The area of the rectangle is 37.44 cm²

Hope this helps!

Kimo went into a bakery where they sell cookies for $0.75 each and brownies for $1.25 each. Kimo has $15 to spend and must buy no less than 12 cookies and brownies altogether.




a. Define the variables. (4 pts)




b. Write the system of inequalities that could be used to solve the situation. DO NOT SOLVE. (4 pts)

Answers

a) The variables are:

x = number of cookies bought.y = number of brownies bought.

b)

x + y ≥ 12

x*$0.75 + y*$1.25 ≤ $15

How to write the system of inequalities?

a) First we need to define the variables, in this case we have:

x = number of cookies bought.y = number of brownies bought.

b) Now we want to write the system, we know that he must buy at least 12 items, then:

x + y ≥ 12

And he can spend, at most, $15, then:

x*$0.75 + y*$1.25 ≤ $15

These two inequalities conform the system of inequalities:

x + y ≥ 12

x*$0.75 + y*$1.25 ≤ $15

If you want to learn more about inequalities:

https://brainly.com/question/18881247

#SPJ1

Solve for the unknown measure of this equation in degrees.

< X in 15^(2) = 13^(2) + 10^(2) -2(13)(10) cos X

Also a question down below.

Answers

Answer:

12

Step-by-step explanation:

Well they are similar I assume so 5 / 3.5 = roughly 1.43 and 8.4 x this number gives you 12 so I would say 12

Describe the steps you would take to solve the given literal equation for m as shown.

Answers

For finding the given literal equation is necessary to apply the power 2 on both sides of the given equation and after that you should rewrite the equation as a function of the variable m .

Power Rules

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

The question gives: [tex]t=2\pi *\sqrt{\frac{m}{k}}[/tex] and from the previous equation, you should find [tex]m=\frac{kt^2}{4\pi ^2}[/tex].

STEP 1 - Applying the power 2 on both sides of the equation [tex]t=2\pi *\sqrt{\frac{m}{k}}[/tex].

[tex]t=2\pi *\sqrt{\frac{m}{k}}\\ \\ t^2=(2\pi *\sqrt{\frac{m}{k}})^2\\ \\ t^2=4\pi ^2*\frac{m}{k}[/tex]

STEP 2 - Rewriting the equation  [tex]t^2=4\pi ^2*\frac{m}{k}[/tex]  as a function of the variable m .

[tex]t^2=4\pi ^2*\frac{m}{k}\\ \\ t^2k=4\pi ^2m\\ \\ m=\frac{kt^2}{4\pi ^2}[/tex]

Read more about power rules here:

brainly.com/question/12140519

#SPJ1

Answer:

1. divide both sides of the equation by 2pi

2. square both sides of the equation

3. use the rule to simplify a fraction to a power

4. multiply both sides of the equation by k

Step-by-step explanation:

edg '22

On a number line, point D is at -6, and point E is at 8. Point F lies between points D and E. If DF: FEis 3: 1, where does point F lie on the
number line?

Answers

F is located on the number 4.5 on the number line.

Where does point F lie on the number line?

We know that point D is at -6

Point E is at 8.

Point F is between D and E, such that the ratio:

DF:FE is 3:1

So if we divide the distance between D and E in 4 parts, 3 of these parts are DF, and one of these parts is FE.

First, the distance between E and D is:

distance = 8 - (-6) = 14 units.

Now, if we divide that by 4, we get:

14/4 = 3.5

Then we have:

DF = 3*(3.5) = 10.5

This means that F is at 10.5 units to the right of D, then:

F = D + 10.5 = -6 + 10.5 = 4.5

F is located on the number 4.5 on the number line.

If you want to learn more about ratios:

https://brainly.com/question/2328454

#SPJ1

Answer:

4.5 is the answer :D

Step-by-step explanation:

help what’s the answer? confused

Answers

Answer:

D. continuous

(-4, 8) and (6, 2). Slope

Answers

Answer:

In order to go from the first point to the second, we need to rise from 4 to 7, i.e. by 3. We also need to run from -4 to -2, i.e. by 2. Therefore the slope is 32 .

Step-by-step explanation:

Help! asap!
As shown in the figure below, a || b and c is the transversal, m∠1= 40°, m∠2= 70°.
Question: m∠3= ?

Answers

The measure of angle 3 from the figure is 110 degrees

Lines and angles

An angle is the intersection between two lines. From the given figure, we have the following parameters

m∠1= 40°,

m∠2= 70°.

Required

Measure of angle 3

The sum of the interior angles of the triangle is equal to the exterior

Sum of interior = <1 + <2

Sum of interior = 40 + 70

Sum of interior =110 degrees

Hence the measure of angle 3 from the figure is 110 degrees

Learn more on lines and angles here: https://brainly.com/question/25770607

#SPJ1

Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?
RootIndex 4 StartRoot 2 cubed EndRoot
StartRoot 2 Superscript 5 EndRoot
RootIndex 4 StartRoot 4 cubed EndRoot
StartRoot 4 Superscript 5 EndRoot

Answers

If nine plus 10 is 21 and the square root of the sun is blank

Answer:

D

Step-by-step explanation:

A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 5. Column 2 is labeled y with entries 5, 10, 12.5.
Use the information in the table to find the constant of proportionality and write the equation.

The constant of proportionality is
.
The equation that represents this proportional relationship is
.

Answers

The constant of proportionality is 2.5.

First, There is a proportional relationship

Two values x  and y are said to be in a proportional relationship if y=kx, where x and y are variables and k is a constant.

y = kx

The constant k is the constant of proportionality

As shown that ,

A 2-column table with 3 rows.

Column 1 is labeled x with entries 2, 4, and 5.

Column 2 is labeled y with entries 5, 10, and 12.5.

According to the Above statement, the calculation is as follows:

5/2 = 2.5 , here we get is 2.5

10/ 4 = 2.5 so Here we get 2.5 and so on

Hence, The constant of proportionality is 2.5.

Learn more about proportional relationship variables here:

brainly.com/question/13082482

#SPJ1

Consider trapezoid LMNO.

Trapezoid L M N O is shown. Sides L M and O N are parallel.

What information would verify that LMNO is an isosceles trapezoid? Check all that apply.
LN ≅ MO
LM ≅ ON
LO ≅ MN
∠L ≅ ∠N
∠L ≅ ∠M

Answers

The side LO is congruent to the side MN, the diagonal LN is congruent to the diagonal MO, and the angle L is congruent to the angle M in an isosceles trapezoid, denoted by the symbols LMNO.

What are the conditions for an Isosceles Trapezoid?

The conditions listed below demonstrate that any trapezoid is an isosceles trapezoid:

The length of both legs is the same.2nd condition: The base angles are of equal proportion.The length of the diagonals is the same.

When these conditions are met by the given trapezoid LMNO, it will be referred to as an isosceles trapezoid. Hence, the following conditions of trapezoid LMNO need to be fulfilled,

LN ≅ MO

LO ≅ MN

∠L ≅ ∠M

Learn more about a trapezoid here:

https://brainly.com/question/26335898

#SPJ1

✔ (A.) LN ≅ MO

✔ (C.) LO ≅ MN

✔ (E.) ∠L ≅ ∠M

7/11 = x/9
Round your answer to the nearest tenth.

Answers

The solution to the given fraction 7/11 = x/9 to the nearest tenth is 5.7

Fraction

7/11 = x/9

cross product

7 × 9 = 11 × x

63 = 11x

divide both sides by 11

x = 63/11

x = 5.72727272727272

Approximately,

x = 5.7

Learn more about fraction:

https://brainly.com/question/11562149

#SPJ1

Which equation can be used to find y, the year in which both bodies of water have the same amount of mercury? 0.05 – 0.1y = 0.12 – 0.06y 0.05y 0.1 = 0.12y 0.06 0.05 0.1y = 0.12 0.06y 0.05y – 0.1 = 0.12y – 0.06

Answers

The equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.

In the question, we have been asked for the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury.

First, we will find the equations showing the level of mercury in each body of water.

For the first water body:

Initial measure of mercury = 0.05 ppb.

Rate of rising = 0.1 ppb each year.

Number of years = y.

Thus, the equation showing level of mercury = 0.05 + 0.1y.

For the second water body:

Initial measure of mercury = 0.12 ppb.

Rate of rising = 0.06 ppb each year.

Number of years = y.

Thus, the equation showing level of mercury = 0.12 + 0.06y.

We are looking for the equation, to find y, the year in which both bodies of water have the same amount of mercury.

As they will have the same amount of mercury, their respective equations showing the level of mercury should be equal, that is:

0.05 + 0.1y = 0.12 + 0.06y, which is the required equation.

Thus, the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.

Learn more about equations at

https://brainly.com/question/17582935

#SPJ4

For the complete question, refer to the attachment.

URGENT! WILL GIVE BRAINLIEST!

Answers

Answer:

150 [tex]m^{2}[/tex]

Step-by-step explanation:

Consider the figure as an isosceles triangle and a rectangle combined.

ISOSCELES TRIANGLE

[tex]A = \frac{1}{2} bh[/tex]

[tex]A = \frac{1}{2} *15*12[/tex]

A = 90

RECTANGLE

[tex]A=lw[/tex]

[tex]A = 5*12[/tex]

[tex]A = 60[/tex]

60 + 90 = 150

Answer:

150m

Step-by-step explanation:

break up the polygon into a triangle and a rectangle.

Triangle:

to find the height of the triangle, subtract 5 from 20

height = 15m     base = 12m

[tex]area=\frac{1}{2}bh\\ A=\frac{1}{2} (12)(15)\\A=6(15)\\A=90m[/tex]

rectangle:

[tex]A=bh\\A=12(5)\\A=60m[/tex]

Add both areas together:

[tex]90+60=150m[/tex]

Determine the perimeter of the figure.

Answers

Answer:

[tex]\huge\boxed{\sf 7x + 10\ cm}[/tex]

Step-by-step explanation:

Perimeter:Sum of all sides of a figure is the perimeter of the figure.Perimeter of the figure:

= 5 + 2x + 2x + 5 + 3x

Combine like terms

= 2x + 2x + 3x + 5 + 5

= 7x + 10 cm

[tex]\rule[225]{225}{2}[/tex]

Answer:

7x + 10

Step-by-step explanation:

Perimeter is the sum of all the sides together, the distance around a shape.

3x + 5 + 2x + 2x + 5

Organize so the variables are on one side

3x + 2x + 2x + 5 + 5

Combine like terms:

7x + 10

Your answer would be: 7x + 10

I hope it helps! Have a great day!

bren~

The triangles are similar. Find the value of the variable.

Answers

Answer:

y = 27

Step-by-step explanation:

The given are two similar triangles.

We can use the following equation to find the variables:

[tex]\frac{y-3}{32} = \frac{18}{24}[/tex]

Cross multiply fractions

32*18 = 24(y-3)

576 = 24y - 72

add 72 to both sides

648 = 24y

divide both sides by 24

27 = y

Select the correct answer from each drop-down menu.
The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0.
The equation of this circle in standard form is. The center of the circle is at the point, and its radius is units

Answers

Step-by-step explanation:

the equation in the standard form is :

( x - 2 ) 2+ ( Y + 3 ) 2 = 18

the center is at the point ( 2, - 3 ).

its radious is : /18 = 3/ 2 units

If point (4, 5) is on the graph of a function, which equation must be true?

f(5)=4
f(5,4)=9
f(4)=5
f(5,4)=1

Answers

Answer:

f(4) = 5

Step-by-step explanation:

Think about it this way

a point with an x value of 4,

this x value is put into the function,

then the function outputted a y value (or value) of 5.

So, we can name this function f(x)

Then,  we let x = 4,

then the output for f(4) = 5

Answer: f(4) = 5

Step-by-step explanation:

      If the point (4, 5) is on the graph of a function, this means that when you input 4 you get an output of 5.

      Inputs are usually shown with the x-coordinate, and outputs are usually shown with the y-coordinate.

      This means that (4, 5) is an input of 4 for an output of 5.

Select the correct answer.
Choose the system of inequalities that best matches the graph below.

Answers

Considering the linear functions on the graph, the inequality that matches the situation is:

B.

[tex]y \geq \frac{1}{2}x + 2[/tex][tex]y \leq 2x + 1[/tex]

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The lower bound of the interval is a linear function with y-intercept of b = 2, that also passes through (2,3), hence the slope is:

m = (3 - 2)/(2 - 0) = 1/2.

Hence the inequality is:

[tex]y \geq \frac{1}{2}x + 2[/tex]

The upper bound of the interval is a linear function with y-intercept of b = 1, that also passes through (2,5), hence the slope is:

m = (5 - 1)/(2 - 0) = 2.

Hence the inequality is:

[tex]y \leq 2x + 1[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

WILL MAKE BRAINLIEST!!
Find the measure of the angle indicated.
53°
44°
127°
52°

Answers

Answer:

53 degrees

Step-by-step explanation:

If the two lines intersected by a transversal are parallel then the same side interior angle should add up to 180 degrees.

180-127 = 53 degrees

Other Questions
What happens in an ecosystem? A 1. 50-kilogram ball is attached to the end of a 0. 520-meter string and swung in a circle. The velocity of the ball is 9. 78 m/s. What is the tension in the string? do not round your answer during any of your calculations until the end and then round to the nearest whole number. 3. 39 n 28. 2 n 276 n 74. 6 n. the abc corporation's building is iinsured for $100,000 by three insurancecomapnies in the amounts of What are the roles and responsibilities of the staff in the executive office of the president? why did see three constitutions in the 1860s What is the main theme of the poem daffodils? 3. A skydiver started his jump from the airplane. He fell 4.9 m in the 1st second, 14.7 min the 2nd second, 24,5 m in the 3rd second. How far did he fall between the 7th and the10th seconds?Arithmetic or geometric What is the volume of a box shape of a right rectangular prism with height 10 inches, length 7 inches, and width 4 inches? A group of 25 employees want to go out for a group dinner.18 employees want to go to Restaurant A.7 employees want to go to Restaurant B. gulf coast educators federal credit union pasadena tx Predict the product, if any, of reaction between methyl propanoate and LiAlH4, then H3O+.Draw only the product derived from the acyl portion of methyl propanoate.You do not have to consider stereochemistry.If no reaction occurs, draw the starting material. how many kids in the world use phones Which fraction is equivalent to the decimal 0.15? Making Inferences in Informational Texts: Mastery Test adapted from Lincoln the Great by Wired W. McClayWhen standing before the Lincoln Memorial, we shouldremember the depth and breadth of Lincoln's unpopularityduring his entire time in office. Few great leaders have beenmore comprehensively disdained or loathed-orunderestimated. The low Southern view of him, of course, wasto be expected, but it was widely shared north of theMason-Oxon line. As David Donald put it, Lincoln's ownassociates thought him a simple Susan, a baboon, an aimlesspunster, a smutty joker he was in the view of the abolitionistWendell Phillips, a Thuckster in politics" and "a first-ratesecond-rate man"When he delivered the Gettysburg Addressone of the great speeches of human history, he was completelyshadowed by the two-hour-long speech of famed oratorEdward Everett that preceded his. There was little or noapplause for him as he concluded his two-minute speech andsat downa person who argues against the institution of slaverysalesman who uses aggressive, showy, devious methods topromote a product.What can the reader infer from Phillips' description that Lincoln was a first-rate second-rate man?From Phillips description, the reader can infer that Lincoln was:_____president.A. An ordinary man but an outstandingB. And unlikable man and an unlikelyC. And add mirable person but an unremarkableD. A worthy man and a worthy What does the phrase a star to steer means? two components of a cell NEED IN 5 MIN FOR BRINLIEST 0-0 In general, command and mixed economies failed to deliver the kind of sustained economic performance that was achieved by countries adopting _________-based systems. What is the third quartile of this data set?14, 18, 20, 21, 25, 32, 40, 44, 48 MercutioBenvolioFriar LawrenceParisWhich character vows to kill Romeo but is actually killed by Romeo?Tybalt What is the value of x? round to the nearest tenth, if necessary. Responses x = 4 x, = 4 x = 5 x, = 5 x = 6. 2 x, = 6. 2 x = 9. 4.