What is the horizontal asymptote of f (x) =StartFraction negative 2 x Over x + 1 EndFraction?

Answer:

2x(2x-9)

Step-by-step explanation:

2x is the factor.

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Answer:

  total: 2.85 hours = 2 17/20 hours

Step-by-step explanation:

Strategy: convert all fractions to decimals, determine weeding and mowing times, and add the three times to find the total.

  3/4 = 0.75

  1/5 = 0.2

Solution:

raking time: 0.75 hours

weeding time: 0.75 +0.2 = 0.95 hours

mowing time: 0.95 +0.2 = 1.15 hours

__

Total time: 0.75 +0.95 +1.15 = 2.85 hours = 2 17/20 hours

_____

Additional comment

You may recognize that 0.95 is the middle of three equally-spaced values. Then the total will be 3×0.95 = 2.85 hours.

Answer:

A

Step-by-step explanation:

For each point along it goes 1 point up, if it was 4x it'd go 4 points up

Answer:

r = -3

Step-by-step explanation:

3r + 2 - r = -4

2r + 2 = -4

2r = -6

r = -3

Answer:

r = -3

Step-by-step explanation:

3r + 2 - r = -4         (Given)

2r + 2 = -4             (Simplify)

2r + 2 - 2 = -4 - 2  (Subtract 2 on both sides)

2r = -6                   (Simplify)

2r/2 = -6/2            (Divide 2 on both sides)

r = -3                     (Simplify)

Answer:

It takes four hours because the little bro is alone and only one lawn mower is used

Answer:

Approx 5.64 hours

Step-by-step explanation:

d=rt

t=d/r

To find the time, divide distance by velocity

1240 / 220 = approx 5.64 hours

Answer:

The problems listed are all the formulas for 2d figures:

Area of a Triangle: 1/2 B*H

Area of a Square: S^2

Area of a Rectangle: l*w

Perimeter of a Square: 4s

Perimeter of a Triangle: a+b+c

Perimeter of a Rectangle: 2l+2w

[tex] {x}^{2} - 17x - 60 \\ (x + 3)(x - 20)[/tex]

First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .

Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .

I hope I helped you^_^

Answer:

Area is 307.72 ft^2

Circumference is 43.96 ft

Step-by-step explanation:

Area is 2pir^2

Circumference is 2rpi

pi is about 3.14

A=2pi(7)^2

A= 98pi which is about 307.72 ft^2

C= 2(7)pi

C= 14pi which is about 43.96 ft

(I'm not sure whether they want the answer left in terms of pi or not)

Answer: The second one

Step-by-step explanation:

That's the only set where there is only one output for every input.

Answer:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]

Step-by-step explanation:

We want to simplify the expression:

[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]

Distribute:

[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]

Rearrange:

[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]

Combine like terms:

[tex]\displaystyle = a^2 + 3a -20[/tex]

In conclusion:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]

Answer:

Yes the function is continuous f(5) = 13

Step-by-step explanation:

Replace the variable x with 5 in the expression

Simlify the results

f(5) = 3(5)-3

f(5) = 15=3

f(5) = 13

Plotting on a graph gives a coninous line with a positive gradient

y intercept (0,-2)

Please view the attached graph

Answer:

VW = 6

Step-by-step explanation:

To find x, set up the following equation:

(5x - 4) + (2x) = 5x

Solve out left side

7x - 4 = 5x

Subtract 5x from both sides

2x - 4 = 0

Add 4 to both sides

2x = 4

Divide both sides by 2

x = 2

Plug into 5x - 4

5(2) - 4

10 - 4

6

Answer:

6

Step-by-step explanation:

5x - 4 + 2x = 5x

7x - 4 = 5x

-4 = -2x

2 = x

5(2) - 4

10 - 4

6

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

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

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

Answer:3

Step-by-step explanation:

-3x+2=-7

subtract 2 from both sides

-3x+2-2-(-7-2

simplify the arithmetic

-3x=-7-2

simplify the arithmetic aging

-3x=-9

=3

Hi

it's means multiplicate your number by 40/100 ie : 0.4

have a try. Math is all about method and practice.

Answer:

A = 56 m^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 12 (14)(8)

A = 56 m^2

Answer:

9

Step-by-step explanation:

The trinomial square have the following form:

(a - b)²

Expanding this, the result is:

a² -2ab +b²

So, let's put x in place of a and solve it:

x² -2•x•b + b²

Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:

-2x•b = -6x divide both sides by -2x:

b = -3

So -3 complete our trinomial square, and it is:

(x -3)²

Expanding:

x² -6x +9

Answer:

5000kg/m3

Step-by-step explanation:

Its easy to get the answer of a question from the unit.

So, it will be mass over metre cube.

Therefore, m=40kg x= (0. 2)^3 =0. 008m

40/0. 008 = 5000kg/m^3

Answer:

Step-by-step explanation:

Having a jack and also having a diamond, satisfies two sets in a Venn diagram. An overlapping set is the intersection of the two. So A is the only one that can be in an intersection of these two sets.

The statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.

Events that share one or more outcomes are said to be overlapping events.

In the question, we are asked for the statements from the given options that describe overlapping events.

To check for overlapping events, we analyze each option as follows:-

Thus, the statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.

Learn more about overlapping events at

https://brainly.com/question/17253921

#SPJ2

Answer:

C. (Image 092618

Step-by-step explanation:

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]

y1 is 2

y2 is -1

x1 is -3

x2 is 7

substitute:

[tex]slope = \frac{ - 1 - 2}{7 - ( - 3)} [/tex]

Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

Answer:

10-(3×4)-2+1=5

10-12-3=5

10-15=5

10=5+15

10=20

20-10

10

Answer:

[10 - 3 × (4-2)] +1= 5

.......

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Answer:

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

My answer is in the picture

Answer:

1. PN

Step-by-step explanation:

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Answer:

  1 +i√3.5

Step-by-step explanation:

In vertex form, the equation is ...

  2(x² -2x +1) +7 = 0

  2(x -1)² +7 = 0

Then the solutions are ...

  (x -1)² = -7/2

  x = 1 ±i√3.5

One solution is 1+i√3.5.

Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29