Is it ever possible to have a graph of a function that is
symmetric about the y-axis AND the origin? Explain your
thinking.

Answers

Answer 1

We know that,

By definition, no function is symmetrical about the x-axis (or any other horizontal line). Because the one flipped with respect to the horizontal violates the vertical line test.

On the other hand, functions can be symmetric about a vertical line or a point. In particular, functions symmetric about the y-axis are also "even" functions, and functions symmetric about the origin are also "odd" functions. Because of this correspondence between graph symmetry and function equality or oddness, "symmetry" in algebra is usually applied to the y-axis and the origin.

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Answer 2

Answer:

  yes: f(x) = 0

Step-by-step explanation:

You want to know if a function exists that is symmetrical about the y-axis and the origin.

Symmetry

A graph is symmetrical about the y-axis if and only if ...

  f(-x) = f(x)

A graph is symmetrical about the origin if and only if ...

  f(-x) = -f(x)

For both conditions to be met, we must have ...

  f(x) = -f(x)

  2f(x) = 0 . . . . . add f(x)

  f(x) = 0 . . . . . . . divide by 2

The graph of f(x) = 0 will be symmetrical about the y-axis and the origin. (It is the x-axis.)


Related Questions

77% Complete

Please enter a number in response to the following question.
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 12 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?

Answers

Answer:

We know that the number of workers doubles every week.

This implies that the number of workers of the previous week is exactly half of the current one's.

So, it took 11 weeks for the factory to be at half capacity.

10.
A container has 20 ½ cups of pancake mix. A serving uses exactly 2½ cups.
Part A
How many full servings are in the container?
Part B
How many cups of pancake mix are left over?
full serving

Answers

8 full servings, 1/2 cup left over

Prove: If A and B are m × n matrices such that Ax = Bx for all x ∈ R
n, then A = B.

Answers

From matrix property it can be showed that A=B.

Given,

If A,B and x are matrices with x≠0 and AX=BX

Now,

X must be non-singular matrix because

A\(XX^{-1}\)=B\(XX^{-1}\)

AI = BI

= I( identity matrix )

⇒A = B

Hence Proved, A = B .

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(8p^2+2p+7)+(5p^2+p)

Answers

Answer:13p^2 + 3p + 7

Step-by-step explanation:

What is the x-intercept of the line?
(-38,40)
(-23,30)
(-8,20)

Answers

The answer fam is.......... 22

A bag of potato chips costs $6.99 and comes with 87 chips. If you could buy them individually, how
many chips could you get if you had $10? Round to a whole number.

Answers

Answer:

125 chips

Step-by-step explanation:

It is given that, a bag of potato chips costs $6.99 and comes with 87 chips. The cost of 87 chips is $6.99.

⇒ In $1, we can buy \(\dfrac{87}{6.99}\) chips

We need to find the no of chips if you has $10.

In $10, no of chips are \(\dfrac{87}{6.99}\times 10=124.46\)

Rounding to a whole no,

n = 125

Hence, 125 chips can be brought if you has $10.

3
\(3 \sqrt{81} \)
what's the answer ​

Answers

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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Which image shows a pair of similar polygons?

Answers

The image that shows a pair of similar polygons  is a  graphic image showing a pair of similar polygons with an X-axis showing the value range from 0 to 16 and a Y-axis values from 0 to 16.

Therefore   option C is  correct

What are polygons?

Two-dimensional forms called polygons have linked straight sides. Since all of their sides are joined, they are closed forms.

Polygons can have any number of sides, from three to infinity. Triangles, quadrilaterals, pentagons, hexagons, and octagons are the most prevalent shapes of polygons.

The two polygons in this accurate representation are comparable in shape or size. This indicates that each angle and the length of each side of the two polygons are identical. They can be different sizes, but they have the exact same shape.

The X-axis and Y-axis values shown in the image are the coordinates of the points that make up the polygons.

The X-axis values indicate the horizontal distance from the origin, while the Y-axis values indicate the vertical distance from the origin.

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Complete question:

Which image shows a pair of similar polygons? A. An image showing pair of Similar Polygons with an X-axis showing the Value range from 0 to 16 and Y-axis values from 0 to 16. B. Graph showing a pair of similar polygons. The X-axis shows the Value range from 0 to 16 and the Y-axis values from 0 to 16. C. Graphic Image showing a pair of similar polygons. The X-axis shows the Value range from 0 to 16 and the Y-axis values from 0 to 16. D. Graph showing a pair of similar polygons. The X-axis shows the Value range from 0 to 16 and the Y-axis values from 0 to 16.

Which image shows a pair of similar polygons?

how many rational numbers are there between - 5 and - 4?​

Answers

Answer:

There are infinite rational numbers between any two numbers

PLS MARK ME AS THE BRAINLIEST

H(p)=p/5 + 15
What is the independent variable in this function

Answers

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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what is the value of x? Hiking trails oak trail 125 degrees. pine trail x degrees. ash trail.​

what is the value of x? Hiking trails oak trail 125 degrees. pine trail x degrees. ash trail.

Answers

The value of x is 55.

A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?

Answers

Let's use the formula for the volume of a rectangular prism to solve for the length of the base.

The formula for the volume of a rectangular prism is:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

We know that the height of the rectangular prism is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same. Let's call the length of the base x.

Then, we can write:

V = lwh
24.768 = x * x * 17.2
24.768 = 17.2x²
x² = 1.44
x = 1.2

Therefore, the length of the base of the rectangular prism is 1.2 cm.
Let x be the length of the base of the rectangular prism.

The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.

In this problem, we know that the height is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same.

Therefore, we can write the equation:

24.768 = x² * 17.2

To solve for x, we can divide both sides by 17.2, and then take the square root of both sides:

x² = 24.768 / 17.2

x² = 1.44

x = sqrt(1.44)

x = 1.2

Therefore, the length of the base of the rectangular prism is 1.2 cm.

Tickets to the museum cost $7.50 each. Students receive a 15% discount on admission
What is the cost of a student ticket?

Answers

Answer:

$ 6.375

Step-by-step explanation:

Cost of ticket = $7.50

Discount = 15%

Discount price  = 15/100 x 7.50 = 1.125

Cost of student ticket = $7.50 - 1.125 = $ 6.375

I hope im right!!


Write an inequality to describe the situation.

The minimum hourly pay for working in Maryland is $8.75.

Let x represent hourly pay for working

Answers

Answer:

The inequality that describes the situation is:

\(x \geq 8.75\)

Step-by-step explanation:

The minimum hourly pay for working in Maryland is $8.75.

This means that the hourly pay for working, which is represented by variable x, has to be equal or greater than 8.75. So the inequality that describes the situation is:

\(x \geq 8.75\)

multiple of 3 and 5 less than 47 but greater than 42....​

Answers

Answer:

45

Step-by-step explanation:

45 > 42 but < 47 and it's a multiple of 3 and 5

If <A = x + 11, <B= 2x 23, and <C = 116 x, find <A​

Answers

Answer:

<A+<B+<C=180

x+11+2x.23+116x=180

163x=169

x=1.04

<A=x+11

<A=1.04+11

<A=12.4

seven high school teachers want to schedule exams for their classes next week in such a way that no student has to take more than one exam each day. the teachers have consulted with each other, and found that their students overlap as follows:

Answers

The problem of scheduling exams for the high school students can be solved by using graph theory. We can represent the overlap of students in the form of a graph where each teacher is a node and the edges represent the students who belong to both the teachers classes.

To ensure that no student has to take more than one exam each day, we need to find a coloring of the graph such that no two adjacent nodes have the same color. This is equivalent to scheduling exams such that no two exams on the same day have any common students.

Using a greedy approach, we may overcome this issue by starting with any node and assigning it a color.. We then recursively color the neighbors of the node with a different color and so on. This algorithm will always produce a valid coloring since we are guaranteed to find a valid color for every node, given that we have not run out of colors.

In this case, we have seven teachers so we need at least seven colors. However we can find a valid coloring with fewer colors, depending on the structure of the graph. This problem can also be extended to more general situations, where we have more than one exam per day or where we have more complex constraints on the scheduling of exams.

The answer is general as no additional data is given.

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I need help pls need the answers by today

I need help pls need the answers by today

Answers

Answer:

71. 19  72. 100  73. 9  74.1  75. 90  76. 4

Step-by-step explanation:

#71.

Start with 2b-a

Plug in the given numbers where the variables are.

Now the equation is 2(12) - 5

Solve 2(12) - 5

2(12) = 24      24 - 5 = 19

#72.

Start with d(ab-c)

Plug in the given numbers where the variables are.

Now the equation is 2((5×12) - 10)

Solve in the parenthesis first.

5×12= 60    60-10=50    2(50)= 100

#73.

Start with 3+ \(\frac{b}{d}\)

Plug in the given numbers where the variables are.

Now the equation is 3+ \(\frac{12}{2}\)

Solve.

\(\frac{12}{2}\) = 6    3+6 = 9

#74.

Start with \(\frac{4a}{b+4d}\)

Plug in the given numbers where the variables are.

Now the equation is \(\frac{4(5)}{12+(4x2)}\)

Solve.

4(5)= 20    

(4×2)= 8    12+8= 20

Now the fraction is  \(\frac{20}{20}\) = 1

#75.

Start with 2a² - c

Plug in the given numbers where the variables are.

Now the equation is 2(5)² - 10

Solve 2(5) = 10      10² = 100  100-10= 90

#76.

Start with b - c + d

Plug in the given numbers where the variables are.

Now the equation is 12 - 10 + 2

Solve.

12 - 10 = 2     2 + 2 = 4

When loaded with bricks, a lorry has a mass of 11600 kg. If the mass of the bricks is three times that of the empty lorry, find the mass of the bricks.

Answers

Answer:

8700kg

Step-by-step explanation:

b = mass of bricks

l = mass of lorry

b+l = total mass = 11600kg

b = 3l  ==>  l = b/3

substitute: b + b/3 = 11600

multiply every term by 3 to get rid of denominator: 3b + b = 34800

simplify and solve:  4b = 34800  ==>  b = 8700

check:  l = 8700/3 = 2900

2900 + 8700 = 11600?  YES

Reasonable definitions of the decision variables are:________
a) x subscript 11 household without children under 16 and without premium subscription
x subscript 12 household without children under 16 but with premium subscription
x subscript 21 household with children under 16 but without premium subscription
x subscript 22 household with children under 16 and with premium subscription
b) x subscript 11 number of interviewed households without children under 16 and without premium subscription
x subscript 12 number of interviewed households without children under 16 but with premium subscription
x subscript 21 number of interviewed households with children under 16 but without premium subscription
x subscript 22 number of interviewed households with children under 16 and with premium subscription
c) x subscript 11 cost of interviewing a household without children under 16 and without premium subscription
x subscript 12 cost of interviewing a household without children under 16 but with premium subscription
x subscript 21 cost of interviewing a household with children under 16 but without premium subscription
x subscript 22 cost of interviewing a household with children under 16 and with premium subscription
d) All of the above are reasonable definitions.
e) None of the above.

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

Decision variable are the numbers which are determined by the decision makers. This enables to identify the different possible events that might occur. The decision makers then select a number and identifies the possible occurrence of the events.

An electronics store advertised a television as $17 a day for 30 days rather than the full price of $510. Why did the store choose to advertise the television this way?
A.Because it looks like a deal
B. Because they accept partial payments
C.To help customers pay for it
D.To show the daily consumption cost​

Answers

C. To help customers pay for it

Answer:

A.Because it looks like a deal

Step-by-step explanation:

17$ a day for 30 days is just multiplication which ends up with 510$ which is the full price they only put the ad up to make it seem like a deal. Understand well il break it down for you take the seventeen and 30. multiply the 7 and the 30 then 10 and the 30. add both of the products together to get 510 or 510$.

The recursive formula for an arithmetic sequence is given below. What is the fourth term in
the sequence?


A. -30
B. -18
C. -12
D. -24

The recursive formula for an arithmetic sequence is given below. What is the fourth term in the sequence?

Answers

Answer:

B. -18

Step-by-step explanation:

In order to find the fourth term of the sequence, first find second term, next, third term and finally fourth term.

\(a_n = - 6 + a_{(n - 1)} \\ \\ \implies \: a_2 = - 6 + a_{(2 - 1)} = - 6 + a_1 = - 6 + 0 \\ \\ \implies \: \pink{a_2 = - 6} \\ \\\: a_3 = - 6 + a_{(3 - 1)} = - 6 + a_2 = - 6 + ( - 6) \\ \\ \implies \: \purple{ a_3 = - 12}\\ \\\: a_4= - 6 + a_{(4 - 1)} = - 6 + a_3 = - 6 + ( - 12) \\ \\ \implies \: \huge { \red{a_4 = - 18}}\)

Another way:

\(a_1=0\)

\(a_2=-6\)(Calculated above)

\(a_3=-6+a_2=-6-6=-12\)

\(a_4=-6+a_3=-6-12=-18\)

A path in the park is 15 kilometers in. A trash bin is placed every 1/3 kilometers how many trash cans are along the path ?

Answers

45 trash cans. Hope that helps.

Which of these triangles are translations of triangle A

Which of these triangles are translations of triangle A

Answers

It’s between D and E

The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?

Answers

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Write the equation in slope-intercept form. Then find the slope and y-intercept of the line. 5x + 2y = 12 The equation in slope-intercept form is y =

Answers

We need to rewrite the expression of the line in the slope-intercept form. This form is given by the following expression:

\(y=m\cdot x+b\)

So to find it we need to isolate the y variable on the left side of the equation.

\(\begin{gathered} 5x+2y=12 \\ 2y=12-5x \\ y=\frac{12}{2}-\frac{5}{2}x \\ y=-\frac{5}{2}x+6 \end{gathered}\)

marian has a savings account with $21,390 if she earns $4,100 per month, what is the maximum she can spend on a house?

Answers

Answer:

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Step-by-step explanation:

In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.

We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.

Solve the problem:

Marian earns $4,100.00 per month

Suppose Marian wants  to save for  x months,  then the maximum amount that she can spend on the house is:

4100  *   x    +  21390

Draw the conclusion:

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Hope this helps!

in a class of 38 student,30 are good in mathematics and 22 are good in physics how many students are good in both mathematics and physics

Answers

Answer:

8 are bad in math and 16 in physics

Step-by-step explanation:

Help pls I am confused

Help pls I am confused

Answers

Answer:

A. 25 books

Step-by-step explanation:

James has 100 comic books and sells 1/4 of his collection. This means that the amount of comic books that he sold is 1/4 of 100 since 100 is the total amount of comic books that he has. To calculate that, we divide 100 by 4 to get 25. Therefore, James sells 25 books.

Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.

Point (3,−9)
; Slope=12

Answers

The equation of the line in slope intercept form is y = 12x - 45.

How to represent equation in slope intercept form?

The equation in slope intercept form can be represented as follows:

y = mx + b

where

m = slope of the lineb = y-intercept of the line

Therefore, the slope of the line is 12 and the points it passes through is (3, -9).

Let's find the y-intercept of the line as follows:

y = 12x + b

-9 = 12(3) + b

-9 - 36 = b

b = -45

Therefore, the equation of the line is y = 12x - 45

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