Answers
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.
Related Questions
Fill in the blank so that the ratios are equivalent. : 6 and 7:2
Answers
Answer:
x = 21
Step-by-step explanation:
x : 6 = 7 : 2
x/6 = 7/2
x/6 = 21/6
x = 21
Em cada caixote cabem 30 dúzias de laranjas. Um caminhão está carregado com 80 caixotes de laranjas. Quantas
laranjas, no total o caminhão está carregando?
Answers
Responda:
2400 dúzia
28800 laranjas
Explicação passo a passo:
se cada caixa pode conter 30 dúzias de laranjas e há 80 caixas, então para descobrir quantas dúzias há 30x80=2400
mas isso é quantas dezenas existem. Uma dúzia = 12 laranjas para descobrir quantas laranjas multiplicam as dúzia por 12 2400x12 = 28800 laranjas totais
What is the measure of arc HT?
Answers
Answer:
step 1. mHT = 2(74) = 148°. the arc measures twice the angle when crossing the circle.
18m = 36
Please help me with this for brainliest HURRYYYY
Answers
Answer: m=2
Step-by-step explanation: Hope this help :D
Let's solve your equation step-by-step.
18m=36
Step 1: Divide both sides by 18.
18m/18=36/18
m=2
What is the slope for (4, -4) and (-4, -4)
A. Undefined
B. 0
C. -8/8
D. 8/8
Answers
How do you solve this equation for x?
-3(x+4) = x - 4
Answers
Step-by-step explanation:
(x+4)-x=-4+3
X+4-x = -1
x-x = - 1-4
-x = - 5
Factor completely
1/25-25z^2
Answers
Answer:
1/25(1-25z)(1+25z)
Step-by-step explanation:
your welcome : )
S
3 ft
Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate .
4 ft
5 ft
5 ft
A = [ ? ] ft2
Notice that only half of the circle is included in the figure!
Answers
9514 1404 393
Answer:
26.13 ft²
Step-by-step explanation:
The total area is twice the area of the right triangles plus half the area of a circle of radius 3 ft.
Semicircle area = (1/2)(πr²)
semicircle area = (1/2)(3.14)(3 ft)² = 14.13 ft²
The area of the two right triangles is ...
total triangular area = (3 ft)(4 ft) = 12 ft²
Then the area of the figure is ...
figure area = semicircle area + total triangular area
= 14.13 ft² + 12 ft² = 26.13 ft²
Answer: 26.13
Step-by-step explanation:
HELP THIS IS DUE TODAY.
Answers
Answer:
You can try for the first pic x = 2 and 6 and you can try the second pic x = 0 and 3 (The ones that I put missing). If you need any help in them, I will help you out but try half of them by yourself. Hopw this helps, thank you :) !!
Look at the third picture. Maybe that would help you.
If micheal invests $2000 in the bank at a rate of 5.5% for 6 years how much interest will he make?
help me plz
Answers
Answer: 14,533.79 don´t take my word for it
Step-by-step explanation:
Future Value of Annuity Due
P = 2,000
r = 5.5% (0.055)
n = 6
1.055 * (2,000 * [(1 + 0.055)^6 - 1)/(0.055)])
= 14,533.79
Frankie started cleaning her house at 1:30 p.M and finished cleaning at 6;30 p.M how long did Frankie clean
Answers
Answer:
5 hours
Step-by-step explanation:
Start time = 1:30 p.m
Finishing time = 6:30 p.m
Time taken :
Finishing time - start time
6:30 p.m - 1.30 p.m
= 5 hours
Work out, giving your answer in its simplest form:
3 1/2 divided by 2 3/5
Answers
1 9/26
Convert any mixed numbers to fractions.
Then your initial equation becomes:
7/2÷13/5
Applying the fractions formula for division,=7×5
2×13
=35/26
Simplifying 35/26, the answer is...35/26=1 9/26
Answer:
1 [tex]\frac{9}{26}[/tex]
Step-by-step explanation:
Given
3 [tex]\frac{1}{2}[/tex] ÷ 2 [tex]\frac{3}{5}[/tex] ← change mixed numbers to improper fractions
= [tex]\frac{7}{2}[/tex] ÷ [tex]\frac{13}{5}[/tex]
To perform the division
Leave the first fraction, change division to multiplication and turn the second fraction upside down.
= [tex]\frac{7}{2}[/tex] × [tex]\frac{5}{13}[/tex] ← multiply numerators/ denominators together
= [tex]\frac{35}{26}[/tex]
= 1 [tex]\frac{9}{26}[/tex]
Solve for x
Solve for x
Answers
Answer:
23.1
Step-by-step explanation:
14/20*x/33
Cross multiply
14*33=20*x
462=20*x
462/20=x
23.1=x
Hope this helps :)
Answer:
According to the ratio of segments:-
[tex]\frac{20}{14} =\frac{33}{x}[/tex][tex]20x=14(33)[/tex]
[tex]20x=462[/tex]
[tex]x=\frac{462}{20}[/tex][tex]=23.1[/tex]------------------------hope it helps...have a great day!!convert 5.70 lbs to grams and explain please help
Answers
Answer:
2585.48.
Step-by-step explanation:
The formula to convert pounds to grams is to approximately multiply 5.70 by 454, which is equal to 2585.48.
can someone please help me
y=5x+1
Answers
Y=5x+1
0=5x+1
-5x=1
-1/5
Answer:
X= [tex]\frac{1}{5\\}[/tex] y+ 1[tex]\frac{-1}{5}[/tex]
Step-by-step explanation:
y=5x+1
Step 1: Flip the equation.
5x + 1
Step 2: Add -1 to both sides.
5x + 1 + −1 = y+ −1
Step 3:
Divide both sides by 5.
[tex]\frac{5x}{5\\}[/tex]= [tex]\frac{y-1}{5}[/tex]
Graph the image of rectangle STUV after a reflection over the line y= –x
Answers
Answer:
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Step-by-step explanation:
The image of the rectangle STUV after a reflection over the line y= –x is attached below.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)
We have to graph the image of the rectangle STUV after a reflection over the line y= –x
The points obtained after graphing ate,
U (7,1)
T (10,1)
V (7,9)
S (10,9)
Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ2
9. Henry joined an art class that charges
$125 for the cost of supplies, plus $25
per class. Henry wants to spend no more
than $500 on art classes. Which
inequality can be solved to find the
number of classes Henry can take?
A 25x + 125 < 500
B 125x - 25 > 500
C 25x 2 625
D 125x + 25 S 500
Answers
Answer:
Step-by-step explanation:
[tex]25x+125\le 500[/tex]
I dont really understand this question, can anyone help me out?
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Angles.
Complementary angles sum up together to become 90°.
Supplementary Angles sum up together to become 180°.
hence,
1.) Ans ==>Angle ABC and Angle NMP
2.) Ans ==> angle ABC and angle EFG
1) ABC & NMP
2) EFG & RST
Adele rides her bike 28 miles in 3.5 hours. How far has Adele traveled on her bike if she rides for 8 hours?
Answers
Answer:
64 miles
Step-by-step explanation:
if you divide 28 by 3.5, this gives you the number of miles per hour, I got 8. Multiply that by 8 because that is the number of hours we are looking for and you get 64. That is the answer.
A 40% discount is the same as paying
Answers
Answer:
60%
Step-by-step explanation:
What time does the clock show?
12
1
11
10
3 -
8
4.
1
7 6
5
Answers
Answer:
6:59
Step-by-step explanation:
Hour : Minute
Small hand is hour hand, large hand is minute hand. Minutes go by the small tic marks, where the hours go off of the numbers.
3x-2y= 10
Write the slope intercept for of the equation
Answers
Answer: y = -3/2x + 5
Step-by-step explanation:
Answer:
y= 3/2x - 5
Step-by-step explanation:
Slope intercept form is y=mx + b
1. subtract 3x from both sides -2y= -3x + 10
2. divide -2 on each value y= 3/2x - 5
3. simplify if needed (already in simplest form)
Jonathan had $40 in his bank account. He withdrew $12 and deposited $4. How much is in his bank account now?
Answers
Answer:
he 32 is what he got in bank now an hope this help.
Step-by-step explanation:
Help please
3 |X-4| +1 = 19
Answers
What is the slope of the line that passes through the points (−6,−4) and (-12, -4) ?
Answers
Answer:
0
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-4-(-4)/-12-(-6)
0/-6
Since the numerator is 0, the slope is 0.
Best of Luck!
I need help with a/d
Answers
Answer:
yeah whats the question asking >:(
The net of a square pyramid is shown in the diagram.
What is the total surface area of the square pyramid in square inches?
Answers
Answer:
208
............
The total surface area of the square pyramid is 208 square inches.
What is Area?
Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find the total surface area of the square pyramid in square inches.
We can write the total surface area of the square pyramid as -
A{total} = A{square} + 4 x A{Δ}
A{total} = (8 x 8) + (4 x 1/2 x 8 x 9)
A{total} = 64 + (16 x 9)
A{total} = 208 square inches
Therefore, the total surface area of the square pyramid is 208 square inches.
To solve more questions on areas, visit the link-
https://brainly.com/question/29213222
#SPJ2
Please help I only have 1 hour left .
Answers
Answer:
c
Step-by-step explanation:
What is the solution to the equation below? √x+6 = x-6
A. x=12
B. x=3
C. x=4
D. x=10
Answers
Answer:
√x+6=x-6
squarring both side
x+6=x²-12x+36
0=x²-12x-x+36-6
x2-13x+30=0
x²-10x-3x+30=0
x(x-10)-3(x-10)=0
(x-10)(x-3)=0
either
x=10
or
x=3
Answer:
D:X=10
Explanation
A deli sells small, medium, and large sack lunches. Each bottle of water costs $1, and each apple costs $1. Each sandwich costs s dollars. Some customers buy sack lunches, and some customers buy items separately.
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay.
Answers
Answer:
unknown
Step-by-step explanation:
it doesn't tell you anything about the total cost of amy, you can't go backwards and reverse the equation
8+12=$20
Step-by-step explanation:
just add them up since they all cost $1
