Which functions are symmetric with respect to the origin?

y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx

Answers

Answer 1

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

Answer 2

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

[tex]\rm y = sin^{-1}(0)=0[/tex]

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

Step 3 - Substitute (x = 0) in option b), that is:

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

[tex]\rm y = tan^{-1}(0)=0[/tex]

Step 4 - Substitute (x = 0) in option c), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = cot^{-1}(0)=1.57[/tex]

Step 5 - Substitute (x = 0) in option d), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = sin^{-1}(0)=0[/tex]

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Related Questions

Which is the best approximation for sqrt 55
A) 7
B) 7 2/5
C) 7 7/15
D) 8

Answers

The best approximation for sqrt 55 would be: B) 7 2/5

Calculate the area of the triangle? What is the best way to solve it

Answers

Answer: Find the the height and length of the triangle. I'm not sure what it would be but then use a1  + a2 to find the area

Answer:

Formula of triangle: A = 1/2 x b x h

Step-by-step explanation:

Solve the base of the triangle by solving the distance between points (-2,0) and (f, -5) in units, and then do the same for height: find distance between points (-2, 6) and (-2, 0). Once you find the distance, input value of base and height into the formula and solve to get the area!

-3x + 9 = -3(2x + 3)+3(x-4)+1 how many solutions dos his equation have

Answers

Answer:

The answer is no solution or 0 solutions

Step-by-step explanation:

-3x + 9 = -3(2x + 3)+3(x-4)+1

−3x+9=−6x−9+3x−12+1

−3x+9=−3x−20

9=−20

no solution

4 x + 6 < − 6...............................................................

Answers

Answer:

x < - 3

Step-by-step explanation:

Given

4x + 6 < - 6 ( subtract 6 from both sides )

4x < - 12 ( divide both sides by 4 )

x < - 3

While shopping at a music store, Rick bought 7 CD’s, all at the same price. The tax was $6.50 and the total was $66.00. What was the price of each CD?

Answers

Answer:

$8.50

Step-by-step explanation:

Subtract the tax from the total price:

66 - 6.50

= 59.5

Then, divide this by 7 to find the cost of each CD:

59.5/7

= 8.5

So, the price of each CD was $8.50

Answer:

8.50

Step-by-step explanation:

66-6.50=59.50

59.50 divided by 7 =8.50

i just need a little help​

Answers

Answer:  

your answer should be 2 and 1/4ths

Step-by-step explanation

2 and 1/4ths bc 5 is more than 4 and there is already a whole so there for there are going to be 2 wholes then there are still parts left over and its out of 4 and there is only one left over so there for it would be 1/4ths.

A three-dimensional figure is shown. Which net represents the figure?

Answers

Answer:

the fourth one on the bottom right

Step-by-step explanation:

Triangular prism is represented by the first net on the top.

What is three dimensional figure ?

In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions – length, width, and height.

According to the question,

As shown given three dimensional figure is triangular prism.

In triangular prism we have,

Three rectangular face and two triangular face.

When we open the figure triangular faces should be on opposite side.

Hence, first figure on the top is representing the triangular prism.

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Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x+6)^2 - 49
lesser x=
greater x =

Answers

Answer:

Lesser x is -13.

Greater x is 1.

Step-by-step explanation:

We have the function:

[tex]f(x)=(x+6)^2-49[/tex]

And we want to find the zeros of the function.

So, set f(x) to 0 and solve for x:

[tex](x+6)^2-49=0[/tex]

Add 49 to both sides:

[tex](x+6)^2=49[/tex]

Take the square root of both sides. Since we're taking an even root, we will need plus/minus:

[tex]x+6=\pm 7[/tex]

Subtract 6 from both sides:

[tex]x=\pm7-6[/tex]

Evaluate for each case:

Case 1; 7 is positive:

[tex]x=7-6=1[/tex]

Case 2; 7 is negative:

[tex]x=-7-6=-13[/tex]

So, our zeros are:

[tex]\{x|-13, 1\}[/tex]

Our lesser x is -13, and our greater x is 1.

And we're done!

If 4 is added to double the number n, the result is the same as
if n were quadrupled. What is the value of n?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10

Answers

I think it’s A because 4*2 is 8 and if n were quadrupled it would be 2

Answer:

A) 2

Step-by-step explanation:

For this problem, you can create an equation.

2n+4=4n

Then, divide by 2.

n+2=2n

Finally, subtract n from both sides.

2=n

What is the image point of (4,8) after a translation right 1 unit and up 5 units?

Answers

Answer: (5,13)

Step-by-step explanation:

Answer:

(5,13)

Step-by-step explanation:

Use the function to fill in the table.
g(x)=-3x+1

Answers

The answer from top to bottom of the graph, (-2,-7), (-1,4), (0,1), (1,-2),(2,0)


Select each set of points that are coplanar.

Answers

Answer:
J, K, and L

Explanation:
It needs to be a flat surface to be the same coplanar the only answer that is flat is J, K, and L

What is -4x<8. I’m a little confused.

Answers

Answer:

x > -2

Step-by-step explanation:


[tex]2(4)( \frac{1}{16} ) = [/tex]
I need help plz​

Answers

Answer:

0.5

Step-by-step explanation:

[tex]2*4*\frac 1 {16}\\8 / 16\\0.5[/tex]

Hope this helped :)

farmula to calculate perimeter of rectangle​

Answers

Answer:

P=2(L+w)

Step-by-step explanation:

SOLVE SEVEN AND SIX I WILL GIVE BRAINLIST

Answers

Answer:

C= 150.8 I hope this helped! Also I used Google because I didn't know.

Step-by-step explanation:

Answer:

5) 75.36ft

6) 150.72mm

Step-by-step explanation:

Bc, you need to multiply 24 * 3.14 and you'll get 75.36.

Solve for y
w= x-y/2-z

Answers

Answer:

Step-by-step explanation:

2

The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(x) = 5x + 7. How can the functions be combined to find a function, a(x), that models the area of the rectangle?
a(x) = 8x + 1
a(x) = 16x + 2
a(x) = 15x2 – 9x – 42
a(x) = 30x2 – 18x – 84

Answers

Answer:

15x^2 - 9x - 42

Step-by-step explanation:

(3x+6)(5x+7)

15x^2 +21x - 30x -42

15x^2 - 9x - 42

What is another way to write: 2-(-2)​

Answers

Answer:

2+2

Step-by-step explanation:

Two negatives together make a positive.

Answer:

2+2

Step-by-step explanation:

A positive minus a negative is a positive. Think of the two minus signs turning in to one plus sign.

what is 8/3y=5/6x-2 in standard form?

Answers

Answer:

Y=5/16x -3/4

Step-by-step explanation:

3/8 * 8/3y=(5/6x -2) *3/8

y=5/16x - 3/4

The standard form of the equation is  5x -16y = 2.

It is required to find the standard form.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

According to given question we have,

The least common multiple of the fraction denominators is 6. Multiplying by that gives

 16y = 5x -2

We can put this in standard form by adding 2-16y to both sides.

 5x -16y = 2

Therefore, the standard form of the equation is  5x -16y = 2.

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John went to an electronics store to purchase a new computer. The electronics store allowed John to make payments on the computer instead of paying the entire amount upfront. If John decides to purchase a computer that costs $1,260, and he makes 6 equal monthly payments, what would be his monthly payment?

Answers

Answer:

The monthly payment is $210

Step-by-step explanation:

The computation of the monthly payment is shown below:

Given that

The cost of the computer i.e. purchased is $1,260

And, there are 6 equal monthly payments

So, the monthly payment is

= Computer cost ÷ number of equal monthly payments made

= $1,260 ÷ 6 payments

= 210

hence, the monthly payment is $210 and the same is to be considered

plz help me it du within 30 minutes

Answers

Beth spent more by $ 5.20

Hope this helps!:)

Answer:

b. $5.20

pls give me brainlist

2) Suppose 120 people are surveyed and asked about their eating habits. 50 people

stated that they like Raising Cane's chicken fingers, 80 people said that they like

Layne's chicken fingers. If 10 people don't like either, then...

a) What is the probability that someone surveyed likes both Raising Cane's and

Layne's chicken fingers?

Answers

Answer:

1/6

Step-by-step explanation:

Given that :

Total surveyed (u) = 120

n(Cane's chicken fingers) = 50

n(Layne's chicken fingers) = 80

n(do not like either) = 10

a)

What is the probability that someone surveyed likes both Raising Cane's and Layne's chicken fingers?

n(Cane's n Layne's) = 20

u = 120

P = required outcome / total possible outcomes

P(Layne's and Cane's chicken) = [n(Cane's n Layne's)/ u]

= 20 / 120

= 1/6

I need help asap well mark you brain list

Answers

Answer: a's answer is 4096 and for the last question it is 243

Step-by-step explanation:

Answer:

4096243

Step-by-step explanation:

Solving exponents

a) (4^3)^2 = 4^(3*2) = 4^6 = 4096b) 3^1 * 3^4 = 3^(1+4) = 3^5 = 243

what is –29 + 30 i need help please!!!

Answers

Answer:

1

Step-by-step explanation:

a negative plus a positive is equal to a negative minus a negative. -29+30=-29-(-30)

Take away negative 30 from -29 and you get 1.

Use the table here to answer the questions below.
1) Explain what Pablo did in each step of his work.
2) Explain what Karla did in each step of his work.
3) Are Pablo and Karla correct?
Please help due today!!

Answers

1. Pablo Used the Commutative property to Reorder the terms.

2. Pablo then Combined all his like terms.

3. Pablo then Divided 21 by 3x to get 3(7+x)

4. Pablo then subtracted 7 from 13

5. He got x = 6
Pablo did his math wrong.

Karla Did her work correct.

1. Karla used the commutative property to reorder the terms

2. she then combined her like terms

3. She subtracted 21 from itself and 39, leaving 3x and 18 on different sides of the equal sign

4. She divided 3x by 3 which equals x and 18 by 3 which equals 6.

5. Karla is correct.

Answer:

Pablo Used the Commutative property to Reorder the terms. Pablo then Combined all his like terms. Pablo then Divided 21 by 3x to get 3(7+x). Pablo then subtracted 7 from 13. He got x = 6

Pablo did his math wrong.

Karla Did her work correctly. Karla used the commutative property to reorder the terms. She then combined her like terms. She subtracted 21 from itself and 39, leaving 3x and 18 on different sides of the equal sign. She divided 3x by 3 which equals x and 18 by 3 which equals Karla is correct.

Step-by-step explanation:

what is scientific notation and how do you do it?​

Answers

Scientific notation is nothing but a rewriting of numbers in decimal number system by multiplying them with [tex]10^k[/tex] where k is a negative or positive whole number.

which statements are true about the polynomial function?
f(x)=x^3+5x^2+6x

Answers

one answer is f(-2)=0

 Statements given in the Options (3) and (4) are the correct.

Polynomial function given in the question is,

f(x) = x³ + 5x² + 6x

Check all the options whether they are true or false.

Option (1)

f(x) = 0 at x = 2,

Substitute the value x = 2 in the polynomial.

f(2) = (2)³ + 5(2)² + 6(2)

     = 8 + 20 + 12

     = 40

False.

Option (2)

(x + 2) is a factor of f(x).

If it's true, f(x) = 0 will be true for x = -2

Substitute x = -2 in the function,

f(-2) = (-2)³ + 5(-2)² + 6(-2)

      = -8 + 20 - 12

      = -20 + 20

      = 0

True.

Option (3)

f(-2) = 0

f(-2) = (-2)³ + 5(-2)² + 6(-2)

      = -8 + 20 - 12

      = 0

True.

Option (4)

f(x) divided by (x - 2) has a remainder of 0.

x - 2)x³ + 5x² + 6x(x² + 7x

       x³ - 2x²

              7x² + 6x

              7x² - 14x

                      20x

Here, remainder is (20x).

False.

   Therefore, Options (3) and (4) are correct.

Learn more,

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x2y4(x2 - 16) - 9y4(x4 - 16)


simplify

Answers

Step-by-step explanation:

given the expression

[tex]x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)[/tex]

we proceed by opening the brackets

[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\[/tex]

collet like terms we have

[tex]x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4[/tex]

factoring we have

[tex]8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4[/tex]

Solve for x.

4−(2x+4)=5

A. x=32
B. x=−52
C. x=−10
D. x = 6

Answers

Answer:

x = - 2.5

Step-by-step explanation:

Hi there !

4 - (2x + 4) = 5

4 - 2x - 4 = 5

- 2x = 5

2x = - 5

x = - 5 : 2

x = - 2.5

Good luck !

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