Is one-half of a square smaller than one-quarter of the same square? How do you know?

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:

3*4

=12 sq. cm

= 12 cm²

Answer:

48cm^{2}

Step-by-step explanation:

[tex]A=4ah=4*4*3=48 cm^{2}[/tex]

Answer:

-18

Step-by-step explanation:

g(x)=-5x+2

g(4)=-5(4)+2=-20+2=-18

Answer:

-18

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

14 divided by 7 is two customers in one minute

Answer:

After one minute there will be 2 people inside the store.

Step-by-step explanation:

First we put this into a proportion. Aka set up like a fraction.

14 (customers)                 x

-------                 --->         ------

7 (minute)                      1 minute

In order to find x, we must divide by 7  because in order to make the bottom number one on the bottom, you must divide by 7 , so we do the same to the top.

14/7 is 2.  

This means that per minute, there are 2 people inside the store.

After one minute, There will be 2 people inside the store.

1. x = 28

2. x = 13

3. x = 11

4. x = 50

5. x = 53

6. x = 77

7. x = 5

8. x = 70

Answer:

Let F = the force (6 lbs) and x be the distance that the spring is stretched (12 inches).

F = kx

6 lb = k*(12 in.)

6/12 = k = 0.5 lb/in.

A weight of 6 lb stretches a spring a distance of 12 in. The constant k for the spring will be  0.5 lb/in.

If the object is of mass m kg and force applied on it is of F N in the direction of motion, then the acceleration of that object is evaluated as:

a=  F/m

Given; A weight of 6 lb stretches a spring a distance of 12 in.

Also,

Let F = the force and x be the distance that the spring is stretched

F = kx

6 lb = k*(12 in.)

6/12 = k = 0.5 lb/in.

Therefore, the constant k for the spring will be  0.5 lb/in.

Learn more about spring here;

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Answer:

Arun father age will be 3X+5 and his age will be X+5

Answer:

y= -a*x + 12

b b

Step-by-step explanation:

ax+by=12 (subtract "ax" from both sides so that the one on the left will become zero and we will have "by" )

by= -ax+12(divide both side by "by" so that we will have the equation as "y=mx+b")

finally the result will be:

y= -a*x + 12

b b

Answer:

D. The area of the triangle is 9 square feet, because the area of the rectangle is 18 square feet.

Step-by-step explanation:

Answer:

Area tells us the size of a shape or figure. It tells us the size ... The rectangle above has an area of 15 square units. The area of a ... Area = 7 cm x 6 cm = 42 cm2.

Step-by-step explanation:

Answer: Kristina  sister's age = 15 years

Step-by-step explanation:

LET the sister's age be rep as x

SO that Kristina = 4/5 of x

Given that Kristina's age = 12 , Then her sister's age can be found using The equation

4/5 x X= 12

4/5 X =12

X = 5 X 12 / 4

=60/4=15

Kristina's sister's age = 15 years.

-3a3b - 40a2b2 + 8a2 - 30ab3 - 28ab - 36b2

                     4    

i looked it up

Answer: -3.5

Step-by-step explanation:

tell if im wrong

Answer:it would be 7.5

Step-by-step explanation:-2.5 + 2.5 = 0 0+2.5=2.5 2.5+2.5=4.5 so it would be 2.5+2.5+2.5=7.5

Answer:

s = -11

Step-by-step explanation:

14 = -2s - 8

22 = -2s

2s = -22

s = -11

14= -2s -8

+8 +8 Add 8 to both sides to isolate -2s

22= -2s

--- ----

-2 -2 Divide -2 by both sides

-11=s This is the answer.

Answer:

12/19

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-19)/(-15-4)

m=-12/-19

m=12/19

Answer:

44 rem

Step-by-step explanation:

Sorry i dont have an explanation

Answer:

d)şıtkı abi nasıl bilemesin

La opción correcta es A. Carlos vendió cada m2 a $1.500.000.

Dado que Carlos tiene un terreno de 30.000 m2, y vendió 3/5 del total del terreno y recibió por la venta $27.000.000.000; para determinar el valor en que Carlos vendió cada m2 se debe realizar el siguiente cálculo:

Por lo tanto, Carlos vendió cada m2 a $1.500.000.

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Answer: 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Multiplication first:

15 - 14 + 23

Addition and Subtraction:

15 - 14 + 23 = 24

Answer:

1.02

Step-by-step explanation:

Answer:

y=3/7x+10

Step-by-step explanation:

y-y1=m(x-x1)

y-7=3/7(x-(-7))

y-7=3/7(x+7)

y=3/7x+21/7+7

y=3/7x+3+7

y=3/7x+10

Answer:

Yes! Great job!

Hope that helps!

Answer:

Hello! :) have a good day!

D=9

Answer: d = -1/3

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

The sum of the interior angles of any closed figure will always equal 360º, so what you need to do is add:

109+90+78=?

This will in turn give you 277.

Subtract 277 from 360, and boom, 83 degrees.

Answer:

C

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer

7 x 3 = 21

DG = 21

5/7 = 15/21

5 ÷ 7 = 0.71

15/21 = 0.71

5/7 = 15/21

Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles [tex]ABC,DFG[/tex] are similar

[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]

[tex]\frac{5}{15}=\frac{7}{DG}[/tex]

[tex]DG=21[/tex] inches

So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches

Find out more information about triangle here:

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Answer:

x = 16

Step-by-step explanation:

For the triangle to be isosceles then AB = CB , that is

5x - 9 = 4x + 7 ( subtract 4x from both sides )

x - 9 = 7 ( add 9 to both sides )

x = 16

Answer: 3/1

Step-by-step explanation:

use the 2 bottom ones

Answer:

x=-79/4, y=-45/8. (-79/4, -45/8).

Step-by-step explanation:

-2x+4y=17

3x-10y=-3

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

3(-2x+4y)=3(17)

2(3x-10y)=2(-3)

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

-6x+12y=51

6x-20y=-6

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

-8y=45

y=45/-8=-45/8

3x-10(-45/8)=-3

3x+450/8=-3

3x+225/4=-3

3x=-3-225/4

3x=-12/4-225/4

3x=-237/4

x=(-237/4)/3

x=(-237/4)(1/3)

x=-237/12=-79/4