35. Explain the difference between the reciprocal of x^2
and the inverse of x^2. (number 35 in the pic)

Answers

Answer 1

Answer:

As you can see, the difference between the reciprocal of [tex]x^2[/tex] and the inverse of [tex]x^2[/tex] is that [tex]\frac{1}{x^2} =x^{-2}[/tex] and [tex]\sqrt{x} =x^{\frac{1}{2}[/tex].

Step-by-step explanation:

First lets find both the reciprocal of [tex]x^2[/tex] and the inverse of

Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of [tex]x^2[/tex], 1 is the denominator, so

[tex]\frac{x^2}{1} =\frac{1}{x^2}[/tex]

To find the inverse of a function, you first need swap the locations of x and y in the equation

[tex]y=x^2\\\\x=y^2[/tex]

Now, you need to solve for y

[tex]y^2=x\\\\y=\sqrt{x}[/tex]

Now, lets rewrite each of these to better compare them

[tex]\frac{1}{x^2} =x^{-2}\\\\\sqrt{x} =x^{\frac{1}{2}[/tex]

As you can see, the difference between the reciprocal of [tex]x^2[/tex] and the inverse of

Related Questions

70% of 120 = 120x70/100
How do you figure this out

Answers

10% of 120 = 12
12 x 7 = 84
70% = 84

120 x 70 = 8400
8400 / 100 = 84

It’s either showing you that both sides of the equation equal to the same thing or that you can find 70% of 120 by using the steps on the right

You and two friends pay $40 for tickets. The cost was divided three ways in the ratio 1 : 3 : 6. How much did each person pay

Answers

Answer:

first person payed$4, second person payed$12 and the third person payed $24

Step-by-step explanation:

find the sum of the ratio

find

1 divided by the total ratio time $40 to get first person

follow in that order to get the amount each person payed.

The function g is defined below . g(x) = (x - 5)/(x ^ 2 - 36) Find all values of x that are NOT in the domain of g. If there is more than one value, separate them with commas.

Answers

Answer:

-6, 6

Step-by-step explanation:

So we have the rational function:

[tex]g(x)=\frac{x-5}{x^2-36}[/tex]

The domain of a rational function is all real numbers except for when x is a zero of the denominator.

Thus, to determine the domain restrictions, set the denominator to 0 and solve for x:

[tex]x^2-36=0[/tex]

Add 36 to both sides:

[tex]x^2=36[/tex]

Take the square root of both sides:

[tex]x=\pm 6[/tex]

So, the values that are not in the domain of g is: -6, 6.

And we're done!

a+2a-1=11

Be quick please :D

Answers

Answer:

[tex]a=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]a+2a-1=11[/tex]

First, combine like terms:"

[tex]3a-1=11[/tex]

Now, add 1 to both sides:

[tex]3a=12[/tex]

Divide both sides by 3:

[tex]a=4[/tex]

And we're done!

Are these the correct answers? Why or why not?

Answers

Answer:

Yes, they are correct

Step-by-step explanation:

The width of the interval is 9 − 5 = 4. So the minimum possible value of the area is 4m, and the maximum possible value of the area is 4M.

can i plz get help? on these ?

Answers

Step-by-step explanation:

she is showing how many wheels are on each bike and skateboard,on each bike there are 2 wheels,on each skateboard there are 4 wheels. sarahs is different because she shows how many wheels are on each of those bikes

Solve:
1. (12+a) / 47 = - 18

Answers

Answer:

a= -858

Step-by-step explanation:

46 times -18 equals -846

-846-12 equals -858

Answer:

a=-858

Step-by-step explanation:

12+a=846

a=-846-12

a=-858

Find each product. Then determine which conclusion can be drawn based on the results.

√2•√2
√5•√7
√ 2•18
√2•√6
The product of two irrational numbers is always rational.
The product of two irrational numbers can be rational or irrational.
The product of two irrational numbers is always irrational.
The product of two irrational numbers cannot be determined.

Answers

Answer:

Second answer:

"The product of two irrational numbers can be rational or irrational"

Step-by-step explanation:

notice from the first product

[tex]\sqrt{2} \,* \,\sqrt{2} = \sqrt{4} = 2[/tex]

that the product of two irrational numbers can give us a rational one.

from the other three examples, the answer for the products always contains a square root that cannot be reduced, so they all result in an irrational number.

Then, depending on the type of irrationals used, the product can be either rational or irrational.

Can you please help with question 2 and explain your work?

Answers

Answer:

Find AC+CB

Step-by-step explanation:

Answer:

Find [tex]AC + CB[/tex]; 10

Find AB; 10

Step-By-Step Explanation:

[tex]AC (3) + CB (7) = 10[/tex]

Find AB is the same thing, just phrased differently.

calculate the length of the base of a parallelogram if the area is 135cm and it's height is 9cm

Answers

Answer:

15cm

Step-by-step explanation:

The formula to calculate the area of a parallelogram is base x height.

Since we know the height and area, we can write the equation:

135 = base x 9

Now we can just divide 9 from both sides to solve for base:

135/9=basex9/9

So we get:

Base = 135/9=15

The length of the base is 15cm.

Hope this helped!

Answer:

Step-by-step explanation:

if a gymnasium is 80 feet long and 60 feet wide, what will the distance be between opposite corners

Answers

Answer:

140

Step-by-step explanation:

I need help with this ASAP

Answers

Answer:

x=5

Step-by-step explanation

Move all terms containing x to the left side of the equation.

4x-8=12

Move all terms not containing x to the right side of the equation.

Answer:

The first consecutive integer is 17 while the second is 19

Step-by-step explanation:

Let us say that the first odd integer is x

At this point, the second odd integer will be x+2.

This is because to obtain the next consecutive odd integer, 2 will have to be added to the original number.

From the question, we can set up an equation as shown below:

[tex]6x= 7+5(x+2)[/tex]

from this, we can simply evaluate and find out the value of x

[tex]6x=7 +5x +10\\x=17[/tex]

therefore, the first consecutive integer is 17 while the second is 19

Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. The number of ducks and pigs in a field totals 38. The total number of legs among them is 100. Assuming each duck has exactly two legs and each pig has exactly four legs, determine how many ducks and how many pigs are in the field. ducks pigs

Answers

5 legs because its 1000

find the mode in the set 3,5,7,13,7,9,3

Answers

Answer:

3 and 7

Step-by-step explanation:

The mode of a set is the number that appears the most frequently. There can be multiple modes in a set. Looking at the given set, we see that the numbers that show up the most are 3 and 7 so that is our answer.

Answer:

3 and 7

Step-by-step explanation:

The mode means the number that appears the most.

hope this helps you :)

A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

Answers

Answer:

63 books per capita in the library

Step-by-step explanation:

Given

[tex]Books = 2.73 * 10^3[/tex]

[tex]People = 43[/tex]

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

[tex]Average = \frac{Books}{People}[/tex]

[tex]Average = \frac{2.73 * 10^3}{43}[/tex]

[tex]Average = \frac{2.73 * 1000}{43}[/tex]

[tex]Average = \frac{2730}{43}[/tex]

[tex]Average = 63.488372093[/tex]

[tex]Average = 63[/tex] (Approximated)

Hence;

There are 63 books per capita in the library

write a sentence as an equation

b is 380 more than the quantity y time 268

Answers

Answer:

b is → b =

380 more → + 380

y time 268 → 268y

combine

b = 268y + 380

Sam can prepare 30 wall paintings in four weeks.How much time will he need to do 90 wall painting s

Answers

sam needs 12 weeks.

explanation: if he can do 30 paintings in 4 weeks then find out if 30 can go into 90. since it can when you multiply it by 3, then also multiply 4 by 3 since he needs 3 times more than the original amount. in total, he will need 12 weeks

HELP PLZ NEED ASAP AND BRAINLIEST Simplify the complex fraction. In complete sentences, explain the process that you followed to simplify the fraction. Include the LCD and simplified form in your answer. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

A-9/a / 1-3/a=

Answers

Answer:

the answer is a+9/2

Step-by-step explanation:

a-9/a/1-3/a

=a-9/a/-2/a

=a+9/a/2/a.

( dividing two negatives is equal to positive)

=a+9/a*a/2

doing reciprocal

=a+9*1/2

reduce the expression"a"

=a+9/2

find the product

answer is a+9/2

Question #1:
Select all the statements that are true of a least-squares regression line.
The regression line maximizes the residuals between the observed values and the predicted values.
The slope of the regression line is resistant to outliers.
In the equation of the least-squares regression line, ġ is an observed value when x is known.
The sum of the residuals is always close to zero.
The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.
In the equation of the least-squares regression line, is a predicted value when x is known.

Answers

Answer:

1. The sum of the residuals is always close to zero.

2.The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.

3. In the equation of the least-squares regression line, y hat is a predicted value when x is known

Step-by-step explanation:

The least square regression line is a line that makes distance from data points to the regression line to be as minimal as possible. This line is a best fit for the data points. Let's say we have a collection of numbers and a scatter plot, this line is a line that exists and best fits the data.

Therefore, the least square regression line minimizes sum of squared error to be close to zero. R² measures the extent to which variations in the value of y is explained by the regression line. In the equation of this line, y hat is a predicted value when x is known.

The least square regression line minimizes the sum of squared error such that the sum of the residual is zero or very close to 0. Hence, the true statements from the options given are :

Sum of residuals is always close to 0

The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.

[tex]y_{hat} [/tex] is the predicted value when x is known.

The least square regression Line is used to create a Linear model in the form y = bx + c

The Coefficient of determination R² gives the proportion of the variation explained by the regression line.

The predicted value of y is obtained using the model of the Least Square Regression Line for a given value of x.

Outlier values often affects the performance and accuracy of the Least Square Regression Line.

Learn more :https://brainly.com/question/18405415

Other Questions

Write a c ++ program that reads unknown number of integers from the user and stores them into a vector. The user will indicate the end of numbers by entering a 0. The program should then print out these numbers in reverse order. HELPPPP PLEASEEEEE!!!!! Would mean a lot What is the purpose of testing a program with sample data or input? What were three tasks for which early people used domesticated animals? Help me with this one too please help!!Which system of inequalities is represented by the graph? Jason but three shirts that each cost the same he had a coupon for $10 off and he spent 65 altogether which equation can be used to find the cost of shirt The _______ river valley is an excellent place for growing rice? ( Question 2) The Chinese used a style of writing known as _________, which means beautiful writing? The two types of package labeling in common usage today are:a. government-mandated and seller-controlledb. functional and persuasivec. motivational and requiredd. informational and persuasivee. promotional and nonpromotional Which of the following does NOT apply to the Anglican Church? A.The church favored simple ceremonies and rituals. B. The king controlled the church. C. People were required to pay money for its support. The path of water from a hose on a fire tugboat can be approximated by the equation y=-0.0055x^2 +1.15x + 5, where y is the height above the ocean and x is the distance from the tugboat. When the water is 6 ft above the ocean how far is it from the tugboat 9x+3x-10=3(3x+x) identity or solution Convert 2.38 km to dm. Click on the graph until the graph of a line with undefined slope appears. Does the government help or hurt us If anybody is good at math please help me out. Read the rough draft. Plastic water bottles are harmful to our communities. The water within them is consumed in seconds, and they often become litter for our roadways. Even when properly disposed of, these water bottles are a problem. They are being used faster than they can be recycled. A better alternative is a dishwasher-safe bottle that can be used countless times. What sentence could be added to address a counterclaim? Re-useable water bottles come in a variety of styles, sizes, and colors. Despite drawbacks, bottled water is a convenient, healthy, on-the-go purchase. Landfills will struggle to break down the considerable plastic disposed of there. Tap water provides the same hydration as bottled water, and it is even easier to attain. Is -5/3 rational or irratuonal A jar contains 16 black balls,13 blue balls and 2 red balls in a bag. A ball is drawn in random. Find the probability of drawing a black ball? Find the probability of drawing a blue ball? Find the probability of not drawing a red ball? In a small company's accounting department, the accounts receivablecoordinator often takes the role of theA. accounting managerB. credit and collection managerc. payroll administratorD. bookkeeper

35. Explain the difference between the reciprocal of x^2 and the inverse of x^2. (number 35 in the pic)

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

35. Explain the difference between the reciprocal of x^2
and the inverse of x^2. (number 35 in the pic)