Need to show work for limits

Need To Show Work For Limits

Answers

Answer 1

Answer:

[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = \infty[/tex]

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3)[/tex]

Step 2: Evaluate

[Limit] Apply Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = -7(- \infty)^5 + (- \infty)^3[/tex]

Recall that x⁵ is a "faster" function than x³. Also recall that we have 2 negatives, which would turn positive. Therefore, we can ignore the 2nd part of the limit and focus on the first:
[tex]\displaystyle \begin{aligned}\lim_{x \to -\infty} (-7x^5 + x^3) & = -7(- \infty)^5 + (- \infty)^3 \\& = -7(- \infty)^5 \\& = -7(- \infty) \\& = 7(\infty) \\& = \boxed{\infty} \\\end{aligned}[/tex]

∴ we have found the limit to equal infinity.

---

Learn more about limits: https://brainly.com/question/27438198

Learn more about calculus: https://brainly.com/question/27351658

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits


Related Questions


The parent function f(x)= x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions represented by
graph B and graph C.

Answers

Answer:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Step-by-step explanation:

Which of the following sets of ordered pairs defines a relation that
is NOT a function?
O {(1, 5), (5, 1), (7, 9), (9, 7)}
O {(6, 7), (8, 10), (13, 9), (21, 10)}
O {(2, 2), (3, 4), (5, 8), (12, 16)}
O {(5, 14), (5, 16), (7, 23), (11, 31)}

Answers

para lang po sa points hehe

What is the measure of gef

Answers

Grate elf finder because I am really

Select the correct answer.
A polygon is translated and then stretched vertically. Which statement is correct?

A.
The translation does not preserve side lengths and angles, but the vertical stretch preserves side lengths and angles of the preimage.
B.
Neither the translation nor the vertical stretch preserves side lengths and angles of the preimage.
C.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
D.
Both the translation and the vertical stretch preserve side lengths and angles of the preimage.

Answers

C: The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.

How to explain translation of a polygon?

When we talk about the concept of translation in transformations, it means that the side lengths remain the same. This means the object is just moved from one place to another and the lengths are preserved.

However, when we stretch the polygon, it means we are increasing or decreasing at least one side length.

Thus, we can conclude that The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.

Read more about Translation at; https://brainly.com/question/27843693

#SPJ1

need help with #10 :’)

the # is “Which of the following expressions is equivalent to 42 + 63?

A- 3(15+21)

B- 6(7+9)

C- 7(6+9)

D- 14(3+3)

8

Answers

Answer:

the answer is c

Step-by-step explanation:

first add : 42+63=105

so you need to solve the expressions until you find the one that equal the same amount.

start with the problem in the parenthesis then multiply.

you will find that C equals 105

6+9=15

15×7=105

help pls math is hard

Answers

29 which makes a descant that creates the award

A grounds crew is marking out a circular logo at the center of a football field. The logo will
have a circumference of 141.3 feet. What will be the diameter length of the logo in yards?

Answers

Answer:

circumference of a circle formula is C=2*pi*r

Step-by-step explanation:

then  

141.3 = 2*pi * r

solve for r

141.3/ (2*pi) = r

22.48859 feet

diameter is  2*r

2*22.48859= 44.9771 feet

divide by 3 because there are 3 feet in one yard

44.9771/3= 14.99239 yds.  

it doesn't say to round off, but I would call this 15 yds.

Diameter is 15 yards   ± .008 yds  That's just about 1/4 of an inch

What is the measure of angle c?

Answers

Answer:

∠ c = 29°

Step-by-step explanation:

∠ b and 97° are vertically opposite angles and are congruent , so

∠ b = 97°

the 3 angles in the triangle sum to 180° , that is

54° + b + c = 180°

54° + 97° + c = 180°

151° + c = 180° ( subtract 151° from both sides )

c = 29°

Answer:

•SEE ABOVE ATTACHMENT•

HOPE IT HELPS!

MARK AS BRAINLIAST.

what is the diffrence of (x+5) and (2x+3)

Answers

Answer:

2-x

Step-by-step explanation:

Please help photo attached

Answers

Answer:

Your answer would be 2.

Step-by-step explanation:

If you divided 20 by 10 you get 2.

That's your answer.

Hope this helps.

The volume of the given figure is __ ft3

Answers

Answer:

I believe the answer is 20

How to solve four hundred thirty five minus six hundred for teen

Answers

Answer:

- 179

Step-by-step explanation

There are numbers behind Zeros and they are known as negtive numbers

ILL GIVE BRAINLIEST!! ANSWER PLEASEEE :,((

Last year, Dan opened an investment account with $6600. At the end of the year, the amount in the account had increased by 26.5%. How much is this increase
in dollars? How much money was in his account at the end of last year?

Answers

Answer:

5600*.065=364

5600+364=$5964 in the account at the end of the year.

Step-by-step explanation:

Answer:

22.5% = 22.5/100

(22.5/100)*6600

How much money was in his account at the end of last year?

$2200 plus the increase

brainliest?

A triangular window in a beach house is 48 inches in height and contains 1728 square inches of glass. Find
the measure of the base of the window.

Answers

[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]

To find :-

The base of a triangle glass window

Given :-

Height of the window = 48 inches

Area of glass = Area of traingle = 1728 square inches

There is a formula to find area of triangle

[tex]area = \frac{1}{2} \times base \times height \\ 1728 = \frac{1}{2} \times base \times 48 \\ 1728 = 24 \times base \\ \frac{1728}{24} = base \\ 72 \: inches = base[/tex]

Result :-

The base of triangle window of beach house is 72 inches.

A factory sells backpacks for $40.00 each. The cost to make
1 backpack is $10.00. In addition to the costs of making
backpacks, the factory has operating expenses of $12,000 per week. The factory's goal is to make a profit of at least $980
each week.

Which inequality represents the number of backpacks, x, that
need to be sold each week for the factory to meet this goal?
A. 30x + 12,000 < 980
B. 30x + 12,000 > 980
C. 30x - 12,000 < 980
D. 30x – 12,000 2 980

Answers

Answer:

it is a to my calculation

Step by step

Simplify: 173‾√−295‾√+33‾√+115

Answers

The simplified form of the expression 173‾√−295‾√+33‾√+115 is; (1/73) (√-23/1947)

What is the simplified form of the expression?

It follows from the task content that expression given is; 173‾√−295‾√+33‾√+115.

It therefore follows that the expression can be simplified as follows;

173‾√−295‾√+33‾√+1151/173 (√(115/-295×33))

(1/73) (√-23/1947)

On this note, it follows that the simplified form of the expression is; (1/73) (√-23/1947).

Read more on simplifying an expression;

https://brainly.com/question/723406

PLEASE ANYONE I NEED HELP

Answers

Answer:

Number 1, or letter H should be 3 and 3.

Step-by-step explanation:

There's 1 hamburger, 1 hot dog and 1 chicken sandwich. Sandwich wise it's 3.

There's 1 cola, 1 diet cola and 1 lemonade, thus making it 3 as well.

Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus

Answers

Answer:

Line LK is the dimameter

Step-by-step explanation:

A diameter is a line that goes through the center and goes from one end a the circle to the other end of the circle.

Hope this helps!!

Two math classes took the same quiz. The scores of 10 randomly selected students from each class are listed below.

Sample of Class A: 75, 80, 60, 90, 85, 80, 70, 90, 70, 65

Sample of Class B: 95, 90, 85, 90, 100, 75, 90, 85, 90, 85

Based on the medians of the scores for each class, what inference would you make
about the quiz scores of all the students in Class A compared to all the students in
Class B? Explain your reasoning to justify your answer.
(written answer)

Answers

Answer:

The score of class b were better than the scores of class a.

the median for class a was 77.5

the median for class b was 90

therefore class b overall scored better on the quiz than class a

Step-by-step explanation:

hope this helps :)

Write 5 1/6 as a decimal. Show your long division work

Answers

Answer:

5.1666666666667

To solve

We know that...

[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]

So that means

[tex]\frac{1}{6}[/tex] = 1 ÷ 6

And with that info, 5 1/6 becomes

[tex]5 + (\frac{1}{6})[/tex]

_______________________________________________________

Solve by improper fractions

We know from the last problem that...

[tex]5\frac{1}{6} = 5 + \frac{1}{6}[/tex]

Converting 5 as a whole number to a fraction, it becomes

[tex]5 = \frac{5}{1}[/tex]

Now it becomes...

[tex]\frac{5}{1} + \frac{1}{6}[/tex]

Since the fractions will not change, first find the whole, then multiply your improper fraction by the whole, and add the part

[tex]\frac{6}{6}\\\\ = (\frac{5}{1} * \frac{6}{6} ) + \frac{1}{6}[/tex]

Converting to improper fraction

[tex]\frac{30}{6}\\\\= \frac{30}{6} + \frac{1}{6}(part) = \frac{31}{6}[/tex] never add the denominators when they are equal.

We know that...

[tex]\frac{31}{6}[/tex] = 31 ÷ 6

Whose quotient is equal to

[tex]5.166[/tex]

________________________________________________________

Need more information? Ask in comments.

When my pot of paint is half full, it weighs 5.8 kg. When my pot of paint is one quarter full, it weighs 3.1 kg.
What is the weight of the full pot?

Answers

The paint in the pot is an illustration of a linear equation and the weight of the full pot is 11.2 kg

How to determine the weight of the full pot?

The given parameters can be represented using the following ordered pairs:

(x,y) = {(0.5, 5.8) and (0.25, 3.1)}

The slope of the equation is calculated using:

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

This gives

m = (3.1 - 5.8)/(0.25 - 0.5)

Evaluate

m = 10.8

The equation is then calculated using:

y = m(x - x1) + y1

This gives

y =  10.8(x - 0.5) + 5.8

Expand

y =  10.8x + 0.4

When the pot is full, we have x = 1

So, the equation becomes:

y =  10.8 * 1 + 0.4

Evaluate

y =  11.2

Hence, the weight of the full pot is 11.2 kg

Read more about linear equations at:

https://brainly.com/question/14323743

What is the greatest common factor of x^6 and x^9

Answers

X^6 because it is really right bc Ik it is

if n=14 when m=4 find n when m=23

Answers

divide 14 by 4 which gives you 3.5
3.5 x 23 = 80.5
therefore n=80.5 or you round up and get 81.

Work out the sheet below

Answers

Answer:

32cm² is the area of face CFGD.

Step-by-step explanation:

x^2 + y^2 +2x+6y=26

what is the center

what is the radius

please show calculations/steps

Answers

Answer:

centre = (- 1, - 3 ) , radius = 6

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² + 2x + 6y = 26 ( collect x and y terms )

x² + 2x + y² + 6y = 26

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 26 + 1 + 9

(x + 1)² + (y + 3)² = 36 ← in standard form

with centre = (- 1, - 3 ) and r = [tex]\sqrt{36}[/tex] = 6

Complete the squares:

[tex](x {}^{2} + 2x + 1) - 1 = (x + 1) {}^{2} - 1[/tex]

[tex](y {}^{2} + 6y + 9) - 9 = (y + 3) {}^{2} - 9[/tex]

[tex](x + 1) {}^{2} - 1 + (y + 3) {}^{2} - 9 = 26[/tex]

[tex](x + 1) {}^{2} + (y + 3) {}^{2} = 26 + 10[/tex]

[tex](x + 1) {}^{2} + (y + 3) {}^{2} = 36[/tex]

General form:

[tex](x - a) {}^{2} + (y - b) {}^{2} = r {}^{2} [/tex]

Center coordinates:

I ( a , b ) I ( -1 , -3 )

Radius:

[tex]r {}^{2} = 36[/tex]

[tex]r = \sqrt{36} = 6[/tex]

please help
i cant do this

Answers

Answer:

42 sq. cm

Step-by-step explanation:

Answer: 42 sq. cm

Length of Big Rectangle: 7

Width of Big Rectangle 7+0.5+0.5 = 8

Area of Big Rectangle: 56

Area of Small Rectangle = 0.5*7 = 3.5

Area of 4 Small Rectangles = 3.5 *4 = 14

Shaded Area = Big Rectangle - 4 Small Rectangles = 56 - 14 = 42 sq. cm

To reassure the answer above is correct

During a​ 6-week weight-loss​ regimen, Tony lost weight at a rate of 1.1 pounds per day. How much did he lose after 16 ​days? After ​weeks?

Answers

Answer:

After 16 days:  17.6 pounds

After 6 weeks: 46.2

Step-by-step explanation:

1.1 x 16 = 17.60

42 x 1.1 = 46.2  (6 weeks x 7 days a week = 42)

The weight loss after 16 days will be 17.6 pounds and after 6 weeks will be  46.2.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that during a​ 6-week weight-loss​ regimen, Tony lost weight at a rate of 1.1 pounds per day.

The weight loss after 16 days will be calculated as,

1.1 x 16 = 17.60 pounds

The weight loss after 6 weeks will be calculated as,

42 x 1.1 = 46.2  (6 weeks x 7 days a week = 42)

Therefore, the weight loss after 16 days will be 17.6 pounds and after 6 weeks will be  46.2.

To know more about an expression follow

https://brainly.com/question/14094721

#SPJ2

Your brother is 1/3 your age. Your sister is 4 years older than your brother. Your sister is 9 years old. Write and solve an equation to find your age a.

what is the equation helppppp

Answers

Answer:

Your age(a) is 15 in this case.

If your brother is 1/3 of your age, that means multiply your brother's age by 3

Your sister is 9, and is 4 years older than your brother. In that case, we now know that your brother is 5

With that information, we can put this into a valid equation.

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

turn 1/3 into a flipped fraction, 3/1 which is equal to 3

your brother's age is 5, so the first value would be 5

5 times 3 is 15, so that means a is 15

[tex]5 * 3/1 = 15[/tex]

find the vaule of 3x + 2 when 7 +x =5

Answers

Answer:

=> -4

Step-by-step explanation:

7 + x = 5

=> x = 5 - 7

=> x = -2

Putting the value of x = -2 in equation 3x + 2

=> 3(-2) + 2

=> -6 + 2

=> -4

Answer:

-4

Step-by-step explanation:

when 7 +x =5   solve for x by subtracting 7

x=5-7 =-2

3x+2 =               substitute (-2) for x

3(   )+2

3(-2)+2

-6+2=-4

Which statement best describes the primary duty of the judicial branch of government? A. to appropriate and pass the budget B. to interpret the laws and Constitution C. to make treaties and declare war​

Answers

Answer:

B

Step-by-step explanation:

just look up its responsibilities as a branch, and its judicial its in its name

Other Questions
A chemist wants to prepare a stock solution of H2SO4 so the samples of 20ml will produce a solution with concentration of 0.5M when added to 100ml of water. What should the molarity if the stock solution be? According to this box plot of test scores, the middle 50% of the class scored between what two scores? options:96-10073-9660-7385-90 Why was 1968 described as "The Year That Shattered America"? Which use of media is most inappropriate for this scenario a speech honoring Find the 12th term of the geometric sequence 5, 15, 45, ...5,15,45,... Why is forensic anthropology an important part of forensic science? What does this area add to the investigation of crime? What do nucleosomes do? Describe how urine is formed.PLS HELP ILL GIVE BRAINLIEST!I NEED HELP ASAP!!!! make it passive :1.We have lost the sculpture.2.They saw him crossing the road. 3 .We can do this work within a week. Solve for x: x/3= 7x= 21x= 12x= 7/3x= 11NEXT QUESTION Damian works at ulta. A customer approaches him and mentions they saw an advertisement for a new eyeshadow palette that just came out. Damian informs the customer that the store is sold out but will get a new shipment in two weeks. Damian also informs the customer the store has several eyeshadow palettes that are very similar and leads them to a product that he feels will meet their needs. Damian is engaging in _______. An inductor of inductance 0.02H and capacitor of capacitance 2 microF are connected in series to an AC source of frequency 200/pi Hz. What is the impedance in the circuit? PLEASE HElP ME with this question Write the mixed number as an improper fraction 2 1/6 Which expression is equal to... The first form of society in human history was? My classes for this semester is algebra, music, history, and writing please help please ha please Please help me! Thank you so much please help A coin is flipped three times, and the following list shows the possible outcomes.HHH, HHT, HTH, HTT, THH, THT, TTH, TTTWhat is the probability of getting exactly one head?Enter your answer as a reduced fraction, like this: 3/14