Can somebody help me on this?

Answer:

The statement that correctly uses limits to determine the end behavior of f(x) is;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0

Step-by-step explanation:

The given function is presented here as follows;

[tex]f(x) = \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]

The limit of the function is presented as follows;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]

Dividing the terms by x², we have;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{\dfrac{7 \cdot x^2}{x^2} + \dfrac{x}{x^2} + \dfrac{1}{x^2} }{\dfrac{x^4}{x^2} +\dfrac{1}{x^2} }= \lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} }[/tex]

As 'x' tends to ±∞, we have;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} } = \lim\limits_{x \to \pm \infty} \dfrac{7 + 0 + 0 }{x^2 +0 } = \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]

However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;

Therefore, we have;

[tex]f(x) \rightarrow 0 \ as \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]

The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0.

Answer:

1. 42

2. d cuz it has nothing-

3. A

all im saying cuz ik u can do this

Answer:

number 1 is 52% i am  goin through them

Step-by-step explanation:

Answer:

y = - 2x + 1

Step-by-step explanation:

Substitute an x value from the table into the equation

x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1

x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7

Then equation describing the relationship is

y = - 2x + 1

Answer:

C

Step-by-step explanation:

brianliest :3

Answer:

309 miles per hour

Step-by-step explanation:

Divide the total distance traveled by the time.  So the answer is 1236 miles divided by 4 hours, or 309 miles per hour

Answer:

C = 38.18°;  A = 40.57°

Step-by-step explanation:

B = 101' 15"

B = 101° + (15/60) = 101 + 0.25 = 101.25°

b =17.23cm,c=10.86cm

From Sine rule :

c/ sin C = b / Sin B

10.86 / sin C = 17.23 / sin 101.25

SinC = (sin 101.25 * 10.86) / 17.23

Sin C = 10.651328 / 17.23

Sin C = 0.6181850

C = Sin^-1(0.6181850)

C = 38.183716

C = 38.18°

Sum of angles in a triangle = 180°

A +  B + C = 180°

A + 101.25° + 38.18° = 180°

A = (180 - (101.25 + 38.18))

A = 40.57°

Answer:chocolate chips : Sugar

                                      5  :  3

Step-by-step explanation:

A ratio tells us the relationship between 2 or more items, explaining how many times the value of one item is contained in another and denoted as either a/b, a to b or a:b.

Here, Lara made chocolate tarts , For every 5 cups of chocolate chip, 3 cups of sugar are added, Therefore the ratio of chocolate chips to sugar is expressed as

chocolate chips : Sugar

                        5  :  3

Answer:

The answer is 4,276

I hope it helps

[tex] \huge \purple{\tt{Answer:}} [/tex]

5 inches

15 feet

Answer:

1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).

Step-by-step explanation:

1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).

Answer:

No, stencil two does not overlap the original pattern exactly. Not all the points on stencil two coincide with the points on the original pattern. There is a subtle difference near the boundaries of the two shapes.

Step-by-step explanation:

Answer:

Penelope can read 6 pages in 5 minutes.

Step-by-step explanation:

You would use the equation 1.2x = P

P=how many pages    x=how many minutes

1.2(5) = 6

She can read 6 pages in 5 minutes

Answer:

answer is

32x2=64

16x4=64

4×3=64

Answer:

10

Step-by-step explanation:

Answer:

Rational: 4.2, -11/5, 0.36

Irrational:

[tex] \sqrt{ \frac{1}{4} } [/tex]

[tex] \sqrt{8} [/tex]

[tex]\pi[/tex]

[tex] \sqrt{ \frac{3}{4} } [/tex]

Step-by-step explanation:

Hope this Helped

9514 1404 393

Answer:

  $17,831.37

Step-by-step explanation:

The compound interest formula is useful.

  A = P(1 +r/n)^(nt)

  A = $12,000(1 + .08/4)^(4·5) = $12,000(1.02^20)

  A = $17,831.37

Laura will have $17,831.37 in 5 years.

Answer:

Yes

Step-by-step explanation:

Answer:

You must be 65.3 ft. closer

Step-by-step explanation:

The first triangle has a length x along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 25 degrees.

By the definition of tangent:

tan(25)=50/x

Solve for x

x=50/tan(25)=107.225

The second triangle has a length y along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 50 degrees.

By the definition of tangent:

tan(50)=50/y

Solve for y

y=50/tan(50)=41.955

The difference between x and y is how much closer to the tree you must be.

x-y=65.27

Answer:

0.186 mile rounded = 0.19

Step-by-step explanation:

the answer is 0.19

Answer:

65.5 feet per second

Step-by-step explanation:

In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...

6,039 - 3,288 = 2,751 ft

Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.

2,751 ft / 42s = 65.5 ft/s

Finally we can see that the rate of descent was 65.5 feet per second

Answer:

$.65 (sixty five cents)

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

4/5 = .8

70% = .7

Answer:

4/5

Step-by-step explanation:

Answer:

Graphite is a form of carbon.

Step-by-step explanation:

Pencils are usually made from graphite and clay.

Now, graphite is a from of carbon and as such it is soft due to the weak intermolecular forces it possesses in between it's layers. Therefore if the graphite is increased, this will make the pencil not to be hard enough when writing and easily slide.

Answer:

hai :D

Step-by-step explanation:

Also try D

Answer:

Step-by-step explanation:

Part A

Givens

b1 = 265

b2 = 180

h  = 90

Formula

Area = (b1 + b2)*h / 2

Solution

Area = (265 + 180) * 90 / 2

Area = 445 * 90 / 2

Area = 40050 / 2

Area = 20025 square meters

Part B

1 hectare = 10000 square meters

x hectare = 20025 square meters         Cross multiply

x * 10000 = 20025 * 1                             Divide by 10000

x  = 20025 / 10000

x = 2.0025

Rounded to the nearest hectare that would be 2

Part C

The best shape is a square.

That would mean that the area is given by

s^2 = 20025

sqrt(s^2) = sqrt(20025)

s = 141.51

Each side of the rectangle (square) = 141.51

Answer:

The answer are

A.

[tex] {f}^{ - 1} (x) = \frac{x + 3}{x - 2} [/tex]

B.

[tex] {f}^{ - 1} ( - 3) = 0[/tex]

Step-by-step explanation:

To find the infers we do that

[tex]f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0[/tex]