A word problem that can be olved by finding the number that have a 11 a a factor

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:

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:

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:

-4

Step-by-step explanation:

The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).

[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]

Simplify the fraction

[tex]= -4[/tex]

Therefore, the slope of the line is equal to -4.

I hope this helps!

Answer:

answer is

32x2=64

16x4=64

4×3=64

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 order is (-10,-1,0,1,10)

Answer:

-10 -1 0 1 10

Step-by-step explanation:

as -10 is smaller than -1 is because the negative numbers keep getting smaller as they progress for example 1 and 10 which is bigger it is ofc 10 but I negative numbers its quite the opposite hope this helps

Answer:

$.65 (sixty five cents)

Step-by-step explanation:

Answer: I=33

Step-by-step explanation: hope this help

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

5 inches

15 feet

Answer: no

80+ x+5 + x-5 =180

2x=100

x=50

so

80 and 55 and 45

Step-by-step explanation:

Answer:

Sean is incorrect.

Step-by-step explanation:

The interior angle of this triangle with the exterior angle of 80° is 100°, so the sum of the remaining angles should be 80°, which means (X + 5) + (X - 5) = 80. Take off the parenthesis, 2X = 80, which means X = 40°. This is where Sean's answer was wrong, he forgot that the remaining angles are X + 5 and X - 5 instead of X, which means that the angles in this triangle should actually be 100°, 45°, and 35°.

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

Answer:

45

Step-by-step explanation:

If x and y are positive integers, what is the value of x√+y√x+y?

(1) x + y = 10

(2) xy−−√=2xy

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:

hai :D

Step-by-step explanation:

Also try D

Answer:

X=4

Step-by-step explanation:

x+y=6

(+)x-y=2 (Add to get rid of y's)

2x=8

2x/2=8/2

x=4

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:

45

Step-by-step explanation:

Answer:

The answer is 4,276

I hope it helps

Answer:

25×2,06 5,2×7,6

4,002×35 45,07×5,1

103×2,12 3,02×0,25

12,5×11 7,52×6,002

Step-by-step explanation:

;lfk;dlj

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:

-5 1/2,      -5.2,  -5,    -5/2,    5.5

Step-by-step explanation:

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]

Answer:

Yes

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

brianliest :3

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:

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:

480

Step-by-step explanation: