What is Fifteen twice x into translated into algebraic expression

At what value of x does the graph of the following function F(x) have a

tankabanditka [31]

Given:

The function is

$F(x)=\dfrac{1}{x+2}$

To find:

The vertical asymptote of the given function.

Solution:

Vertical asymptote are the vertical line passes thought the values for which the function is not defined.

To find the vertical asymptote, equate the denominator equal to 0.

We have,

$F(x)=\dfrac{1}{x+2}$

Denominator is (x+2).

$x+2=0$

$x=-2$

The vertical asymptote is $x=-2$ .

Therefore, the correct option is B.

8 0

2 years ago

Read 2 more answers

Lydia is an architect. She has to design a courtyard garden inside a new hotel. On her blueprint, which is 1/20 the size of the

AlexFokin [52]

Answer:

720 inches

Step-by-step explanation:

On her blueprint, which is 1/20 the size of the actual garden

the width of the garden is 36 inches.

What is the width of the actual garden?

Let width of the actual garden = x

1/20 of x = 36

1/20 * x = 36

x = 36 ÷ 1/20

x = 36 * 20/1

x = 720

x = 720 inches

The width of the actual garden = 720 inches

8 0

3 years ago

Which of the following inequalities can be used to represent a number x that is less than or equal to 8 and greater than –3?

erastovalidia [21]

I think its -3 < x ≤ 8

7 0

3 years ago

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?

RideAnS [48]

Step-by-step explanation:

The function is as follows :

$f(x) = x^2 + 5x + 5$

We need to find the zeroes of the function in the simplest radical form.The zero of the above function is given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here,

b = 5

a = 1

c = 5

So,

$x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times 5} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{25-20} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{5} }{2}$

Hence, the correct option is (c).

6 0

3 years ago

How do you know when a term is defined or undefined

lord [1]

In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane.

POINT (an undefined term) 
In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). 

LINE (an undefined term) 
In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. 

PLANE (an undefined term) 
In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). 

Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. 

Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. 

Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle.

5 0

3 years ago