NEED HELP ASAP!! Which statement correctly uses limits to determine the end behavior of f(x)?
Answers
The statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0
What is the limit?A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.
We have a function:
[tex]\rm f(x) = \frac{7x^2+x+1}{x^4+1}[/tex]
Applying limit:
[tex]\lim_{x \to \pm \infty} \rm f(x)[/tex]
[tex]\rm \lim_{x \to \pm\infty} \frac{7x^2+x+1}{x^4+1}[/tex]
Divide by x^4 on the numerator and denominator, we get:
[tex]\rm \lim_{x \to \pm\infty} \frac{7/x^4+1/x^3+1/x^4}{1+1/x^4}[/tex]
So the value of the limit will be zero whereas x tends to ±∞
Thus, the statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0
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Related Questions
I I need help on number 25 please
Answers
Answer:
22
Step-by-step explanation:
First write an expression to represent the situation.
$1,300,000 ≤ $475,000 + $37,500a
This expression works because the least amount of money that can make to remain profitable is 1,300,000. They already have 475,000 of that and every a (number of ads sold) is $37,500
Using this equation, solve for a.
1300000 ≤ 475000 + 37500a
First, subtract 475000 from both sides.
825000 ≤ 37500a
Then divide both sides of the equation by 37500 to isolate a.
22 ≤ a
22 is less than or equal to a. So they must sell at least 22 ads to remain profitable.
plz help me illl give brainlist 5.0 and thanks plz help rn !!!
Answers
Answer:
4+4+1
Step-by-step explanation:
Answer:
4 + 4 + 1
Step-by-step explanation:
4 + 4 + 1 = 9
4 + 5 = 9
They both equal up to 9
Pls help will
Give brainlist
Answers
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
Total girls
= 12 + 18
= 30
Girls who prefer soccer =
12
Percentage =
12/30
= 0.4
= 40%
Someone help please! I'm a confoosed bab:(
Answers
Answer:
[tex]\huge\boxed{A_{\triangle RST}=9units^2}[/tex]
Step-by-step explanation:
(Look at the picture).
Calculate the area of the rectangle and subtract the areas of red triangles.
The formula of an area of a rectangle:
[tex]A_{\boxed{\ }}=a\cdot b[/tex]
We have:
[tex]a=5,\ b=4[/tex]
substitute:
[tex]A_{\boxed{\ }}=5\cdot4=20[/tex]
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{a\cdot h}{2}[/tex]
substitute:
[tex]A_1=\dfrac{3\cdot3}{2}=\dfrac{9}{2}=4.5\\\\A_2=\dfrac{2\cdot4}{2}=\dfrac{8}{2}=4\\\\A_3=\dfrac{5\cdot1}{2}=\dfrac{5}{2}=2.5\\\\A_1+A_2+A_3=4.5+4+2.5=11[/tex]
Area of ΔRST:
[tex]A_{\triangle RST}=A_{\boxed{\ }}-(A_1+A_2++A_3)[/tex]
substitute:
[tex]A_{\triangle RST}=20-11=9[/tex]
What solid is
generated when the rectangle is rotated about the
line?
rectangular prism
cylinder
cone
rectangular pyramid
Answers
Answer:
Rectangular Prism
Step-by-step explanation:
When the rectangle is revolved about line a, a rectangular prism is formed. The volume of the solid formed when the rectangle is rotated about line a is 72π cubic units.
Answer:
cylinder
Step-by-step explanation:
cylinder.
Solve the right triangle
Answers
Answer:
36.1
Step-by-step explanation:
53.9 + 36.1 = 90
180-90+53.9= 36.1
One cube has a volume of 192 cm3, and another has a volume of 375 cm3. How much longer is the edge of the larger cube than that of the smaller cube?
Answers
Answer:
134
Step-by-step explanation:
How do I solve a probability question?
Answers
Zack’s Italian Pizza Bar baked 2,000 pizzas in the first year that they were open. In the second year, they baked 3,000 pizzas and in the third year 4,000 pizzas. Write a function that could model the growth of pizzas baked, where x = 0 is the first year.
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of years, where x = 0 represent the first year. Let y represent the number of pizzas baked.
In the first year(i.e. at x = 0), 2000 pizza was baked. This can be represented by (0, 2000).
In the second year(i.e. at x = 1), 3000 pizza was baked. This can be represented by (1, 3000).
In the third year(i.e. at x = 2), 4000 pizza was baked. This can be represented by (2, 4000).
Therefore, the relationship between x and y is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Using the points (0, 2000) and (2, 4000):
[tex]y-2000=\frac{4000-2000}{2-0} (x-0)\\\\y-2000=1000x\\\\y = 1000x+2000[/tex]
PLEASE HELP
WILL GIVE BRAINLIEST
Answers
IM NOT A BOT I SWEAR.
THIS WEBSITE HELPS https://www.calculatorsoup.com/calculators/math/mixednumbers.php
step-by-step explanation:
18 1/2-8 5/12= 10 1/12
Hope this helps!
NE6.6
30 percent of what is 50?
Answers
Answer:
I think 50 is 30% of 166.666667
Step-by-step explanation:
Please help me answer this
Answers
Answer:
area of the square=12×12
=144 cm²
area of the circle (radius=12/2=6 cm
πr²
3.142×6²
=113.112 cm²
area of the square-area of the circle
144. -113.112
30.888 cm²
Area of the shaded region=30.888/4
=7.722 cm²
Adjust the number into correct standard form.
0.4×10^5
Answers
Answer:
40000
Step-by-step explanation:
Using that thing called pemdas, do the exponents first, then the multiplication so:
10^5 = 100000
100000 x 0.4 = 40000
I need help with this question
Answers
If rounded to the nearest tenth V=763
Use the Parabola tool to graph the quadratic function.
f(x) = 2x2 + 16x + 31
Answers
5. Below is the data from randomly sampling 100 students in two different cities
regarding their favorite type of music.
City Pop Rock Rap Country
More students like rock in Hill than in Clark.
Hill
15
47
21
17
Clark 13
5
20
62
About the same number of students like rap in both cities.
е E
Which of the following inference can NOT be made based on the data above?
If more students were polled, the results would not change.
Most students like rock in Hill, but most students like country in
Clark.
Answers
Answer:
C
Step-by-step explanation:
what is [ 4 × ( 4 + 3 ) ] − 3
Answers
Answer:
Step-by-step explanation:
4+3=7,
4*7=28
28-3=25
John is going to make chocolate squares to sell. There are just three ingredients, chocolate, peanut butter and crisped rice, mixed in the ratio 4:2:3 respectively. A bar of chocolate weighs 200g and costs £2.50. A jar of peanut butter contains 250g and costs £1.70. A packet of crisped rice contains 300g and costs £2.00. John makes 4.5kg mixture, which he can cut 100 chocolate squares. He charges 60p for each square and sells all 100 squares. How much profit does he make
Answers
Answer:
£18.2
Step-by-step explanation:
4.5 kg = 4.5 * 1000 = 4500 g
Sharing in the ratio :
Chocolate : peanut butter : crisped rice in the ratio 4 : 2 : 3 respectively
Sum of ratio = (4 + 2 + 3) = 9
Chocolate = 4/9 * 4500 = 2000 g
Peanut butter = 2/9 * 4500 = 1000 g
Crisped rice = 3/9 * 4500 = 1500 g
1 bar of chocolate = 200 g at 2.50
2000/ 200 * 2.50 = £25.0
1 jar of peanut butter = 250 g at 1.70
1000 / 250 * 1.70 = £6.8
1 packet of crisped rice = 300g at 2
1500 / 300 * 2 = £10
Total cost of ingredients = £(25+6.8+10) = £41.8
Number of pieces of chocolate squares made = 100
Selling price per square = 60p = £0.6
Total revenue made = £0.6 * 100 = £60
Profit realized = £(60 - 41.8) = £18.2
A can is 7 inches high and has a radius of 2 inches,
r = 2 in
h = 7 in
Enter the volume, in cubic inches, of the can. Round your answer to the nearest hundreth.
Answers
Answer:
87.92 cubic inches
Step-by-step explanation:
to find the volume of a cylinder the formula is V = [tex]\pi[/tex][tex]r^{2}[/tex]h
so first i squared 2
2x2= 4
i then multiplied 4 by the height (7)
4x7 = 28
then times 28 by pi (3.14)
28x 3.14 = 87.92
The volume of cylinder is 87.92 cubic inches
volume :
volume is the amount of space in a certain 3D object.
formula used to find the volume of cylinder :
V = π × r^2 × h
as given ,
r = 2 inch
h = 7 inch
so ,
V = π × (2)^2 × 7
⇒ π × 28
V = 87.92 cubic inches
Hence , the volume of cylinder is 87.92 cubic inches .
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To make sure there is enough space for the donuts, Dave wants to add 2 inch to the minimum length, width, and height of the box. Including the additional space, what should be the length, width, and height of the new box, in inches? Enter each answer in a separate response box.
Answers
The new length, width, and the height are (L+2) inches, (W+2) inches, and (H+2) inches respectively
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
As the old length, width, and height are not given so we are assuming the length of the box is L, width is W, and height is H.
Dave wants to add 2 inches to the minimum length, width, and height of the box. Including the additional space.
So the new length = (L+2) inches
New width = (W+2) inches
New height = (H+2) inches
Thus, the new length, width, and height are (L+2) inches, (W+2) inches, and (H+2) inches respectively.
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HELP A MF OUT!!!! NO LINKS THOO
Answers
Answer:
1-m< +m<2 =180°
2-congruent
3-supplementary
4-m<1 + m<3 = 180°
5-m<2 + m<3 = 180°
please help me......
Answers
Answer:
it's answer is 107
Step-by-step explanation:
firstly
x+28+45=180
x+73=180
x=180 subtract 73 = 107
Answer:
[tex] \sqrt{28 } + \sqrt{45 } = x[/tex]
The length of the base of a scalene triangle is 22 meters and the height is 14 meters. Find the area of the scalene triangle
Answers
Answer:
Area is 154 square meters
Step-by-step explanation:
Well lets think about this
If I take a rectangle and cut it into half diagonally I would get 2 triangles right?
So if I have 2 triangles of the same height and base I can make a rectangle
to find the area of a rectangle I do length times width
So lets take our scalene triangle and multiply our base with its width and then divide by 2
22*14 = 308
308/2 is 154
Suzy went to the gas station and bought a water for $1.98, a bag of chips for $2.50, and a pack of mints for $3.25. She gave the cashier a $10.00 bill to pay for her things. How much money should Suzy get back? Show your work.
Answers
Answer:
2.27
Step-by-step explanation:
1.98+2.50+3.25 = 7.73 - 10.00 = 2.27
Answer:
$2.27
Step-by-step explanation:
Add the prices together
1.98 + 2.50 + 3.25 = 7.73
Susy owes the cashier $7.73 but payed with a $10 bill, so subtract
10 - 7.73 = 2.27
She should get back $2.27
Two triangles are congruent if one angle of one triangle is equal in measure to the corresponding angle of the other triangle.
True or False
Answers
Answer true
Step-by-step explanation:
Answer:
Correct option is
False
Even though all the corresponding angles of the two triangles are equal, the corresponding sides may not be equal.
Hence, the two triangles are not congruent.
The given statement is false.
PLEASE HELP ASAP!!! will mark brainlest!
Answers
17. What is the value of C so that x^2+15x + c is a perfect square trinomial?
A. 30
B. 15/2
C. 15/4
D. 225/4
Answers
Answer:
D. 225/4
Step-by-step explanation:
To complete the square (a technique that can be applied to many problems!), take half the coefficient of x and square the result.
The coefficient of x is 15. Half of 15 is 15/2. Square 15/2 to get 225/4.
Check:
[tex]x^2+15x+\frac{225}{4}=\left(x+\frac{15}{2}\right)\left(x+\frac{15}{2}\right)=\left(x+\frac{15}{2}\right)^2[/tex]
Answer:
255/4
Step-by-step explanation:
The incomplete dual bar chart below shows how all students of class 8R1 travel to school
Answers
Answer: B
Step-by-step explanation:
Answer is B
The required method that is popular with the boys is going to school by walking.
A dual bar chart has been given, describing the method of going to school for boys and girls.
What is a bar chart?A bar chart displays the frequency counts of values for each level of a categorical or nominal variable.
Here,
According to the question,
Number of boys walk = 8,
Number of boys taking the bus = 2
Number of boys with car = 3
number of boys with cycle = 3
So the most popular method among the boys is given as by walk.
Thus, the required method that is popular with the boys is going to school by walking.
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Identify the question that is NOT statistical
Answers
How many proportional relationships are shown in the coordinate plane below?
Answers
Answer:
The answer is A) There are no proportional relationship
Step-by-step explanation:
The green line does not go through the origin and it is curved. This is not a proportional relationship.
Problems: It does not go through 0,0 and it is curved.
----------------------------------------------------------------------------------------------------------------
The blue line may go through the origin but it is curved. This is not a proportional relationship.
Problem: It is curved.
----------------------------------------------------------------------------------------------------------------
The purple line does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
The graph has 0 proportional relationships.
What shows proportional relation?
The graph of a proportional relationship is a straight line through the origin or a ray whose endpoint is the origin.
How many proportional relation in graph?
In the given graph, only one purple color curve is a straight line but it is not starting through the origin.
Therefore, the graph does not have any proportional relationships.
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