If (-3,5) and (3,-5) are two points that lie on function f, then is f even, odd, or neither?

Answers

Answer 1

f(-3) ≠ f(3) and f(-3) ≠ -f(3), which means that the function f does not satisfy the properties required for it to be even or odd.

To determine whether the function f is even, odd, or neither, we need to evaluate the symmetry of the function with respect to the y-axis and the origin.

For a function to be even, it must satisfy the property f(x) = f(-x) for all values of x in the function's domain. This means that if we substitute -x for x in the function, we should obtain the same output as when we evaluate the function at x.

For a function to be odd, it must satisfy the property f(x) = -f(-x) for all values of x in the function's domain. This means that if we substitute -x for x in the function, we should obtain the negative of the output we obtain when we evaluate the function at x.

Let's evaluate the function f using the given points (-3,5) and (3,-5):

For the point (-3,5):

f(-3) = 5

For the point (3,-5):

f(3) = -5

We can see that f(-3) ≠ f(3) and f(-3) ≠ -f(3), which means that the function f does not satisfy the properties required for it to be even or odd.

We can conclude that the function f is neither even nor odd.

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Related Questions

-2x + 8 = 18 please help. What does x equal

Answers

Answer:

x = -5

Step-by-step explanation:

Step 1: Write equation

-2x + 8 = 18

Step 2: Solve for x

Subtract 8 on both sides: -2x = 10Divide both sides by -2: x = -5

Step 3: Check

Plug in x to verify it's a solution.

-2(-5) + 8 = 18

10 + 8 = 18

18 = 18

Answer:

x = -5

Step-by-step explanation:

-2x + 8 = 18

Subtract 8 from each side

-2x + 8-8 = 18-8

-2x = 10

Divide each side by -2

-2x/-2 = 10/-2

x = -5

Texas predicted that the population would be about 17.4 million in 2018 and then increase by 0.22 million per year until 2020. Which linear equations models this situation?
A. y=17.4x +0.22
B. y= -0.22x + 17.4
C. y= 0.22x + 17.4
D. y= -17.4x + 0.22

Answers

Answer:

C. y = 0.22x + 17.4

Step-by-step explanation:

0.22x represents how much it's growing by. 17.4 represents the initial value.

y represents the final value.

Answer:

C. y= 0.22x + 17.4

Step-by-step explanation:

y= mx + b

0.22 million per year = m

17.4 = b

# of years = x

Total population = y

y= 0.22x + 17.4

Triangles T S R and Q R S overlap at point P. Angle S T R is 66 degrees and angle S Q R is 66 degrees. The lengths of T S and Q R are both 5 inches. Can ΔTSR and ΔQRS be proven congruent by SAS?

Answers

Answer:

D-     no, because not enough is information given to prove the triangles congruent by SAS

Step-by-step explanation:

^^I gotchu kuh

Answer:

the answer is d

Step-by-step explanation:

GrantWhich of the following is the graph of the inequality y < -2x + 3?

Answers

The graph that represents the linear inequality y < -2x + 3 is graph B

What is graph of linear inequality?

The set of solutions to a linear inequality are represented graphically on a coordinate plane. It makes the area or areas that satisfy the inequality easier to visualize.

The linear equation that results from changing the inequality sign to an equal sign is the equation that is commonly graphed first when a linear inequality has to be represented. The coordinate plane is split into two regions by this linear equation: one zone where the linear equation holds true, and another region where it does not.

Next, we determine which side of the line represents the solution set for the inequality. This is determined by the inequality sign (<, >, ≤, ≥) and the given inequality's conditions.

To solve this problem, we can simply plot this using a graphing calculator ;

Kindly find the attached graph of the linear inequality y < -2x + 3 below.

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i don’t know how to do this one:/ i need help:/

Answers

Answer:

B

Step-by-step explanation:

The answer is B!! :D

Which of the following combinations would result in multiple triangles? SHOW WORK
A: 45 degrees, 82 degrees, 53 degrees
B: 5 degrees, 122 degrees, 61 degrees
C: 2 cm, 8 cm, 10 cm
D: 10 in, 20 in, 75 degrees

Answers

Multiple triangles would be formed by the combination of 2 cm, 8 cm, and 10 cm.

To have a triangle, three sides of a polygon must be present. Additionally, each side must be less than the total of the other two sides added together to form a triangle.

Consider the following choices as a result:

A: 45 degrees, 82 degrees, 53 degrees.

We don't know the size of the triangle's sides, thus we can't say if it's going to create multiple triangles

.B: 5 degrees, 122 degrees, 61 degrees

This set of degrees won't result in a triangle because the angles add up to 188 degrees, which is greater than 180 degrees, the sum of the interior angles of a triangle.

C: 2 cm, 8 cm, 10 cm

The sum of 2 cm + 8 cm = 10 cm.

As a result, it is impossible for a triangle to be formed since 2 + 8 < 10.D: 10 in, 20 in, 75 degreesTwo sides of the triangle are known, however the angle between them is unknown, therefore it is impossible to tell if multiple triangles will form.

Option C is the only choice that would result in multiple triangles. The side lengths of a triangle are 2 cm, 8 cm, and 10 cm. It is impossible to form a triangle with 2 cm and 8 cm because they are too short to form a triangle, however if you switch the values and compare 8 cm and 10 cm, a triangle is formed.

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A person 6 feet tall casts a shadow 4 feet long. At the same time, a nearby tower casts a shadow 32 feet long. How many feet are in the height of the tower?


Answers

Answer:

48

Step-by-step explanation:

First 4 is 2/3 of 6 feet

Thus 32 is 2/3 of x

How do we find X

32 divided by 2 is 16

16 plus 32 = 48

write each equation in vertex form. then identify the vertex, axis of symmetry and direction of opening. y=x^2+8x+\:18 , y=-\:x^2\:\:12x\:-\:36 and y=2x^2\:+\:12x\:+\:13

Answers

The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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18×2×5 equal 18×2 times

Answers

False
18x2x5=180
And
18x2=36

Answer:

no

Step-by-step explanation:

−12.405 as a mixed number in simplest form.

Answers

Answer:

-12 81/200

Step-by-step explanation:

That is the simplest it will go.

I NEED HELP ASAP IT'S THE LAST QUESTION THAT I NEED TO GET 100 PERCENT!!!!

Answers

The decimal form of that equation is 0.08

Answer:

The exact form would be 2/25but in decimal form it is 0.08

Step-by-step explanation:

What is the slope of the line passing through the points (1, - 5) and (4, 1)?

Answers

Answer:

2

Step-by-step explanation:

We can use the two point to find the slope

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

    = ( 1- -5)/(4-1)

    = (1+5)/(4-1)

    = 6/3

    =2

Pablo runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?

Answers

Answer:

4.2 miles

Step-by-step explanation:

Answer:

4.2 miles

Step-by-step explanation:

6/50=0.12

0.12x35=4.2

24. 075 21.048 24.008 21 .605 how do i answer this from greatest to least

Answers

Answer:

24.075, 24.008, 21.605, 21.048


Find x, given
m 1 = 5x-3 and MZ2 = 3x+11

Answers

Answer:

7

Step-by-step explanation:

5x-3=3x+11

2x=14

x=7

Answer:

x = 7

Step-by-step explanation:

Assuming the lines are parallel

<1 = <2

5x-3 = 3x+11

Subtract 3x from each side

5x-3x -3 = 3x-3x+11

2x-3 =11

Add 3 to each side

2x-3+3 = 11+3

2x = 14

Divide each side by 2

2x/2 = 14/2

x = 7

10 Murpy has $30, but he spends $2 every day at lunch. use the table to figure out how much money he will have left each day.
Please respond quickly

Answers

Answer:

(0,30)

(1,28)

(2,26)

(5,20)

Step-by-step explanation:

If you multiply 2 times the x

ex. 2 x 5 = 10

Then subtract that from the 30 to get y

30-10 = 20 = y

Solve

(5,20)

Answer:

one day and he has 28 dollars

Step-by-step explanation:

Select the true statements regarding the disk and washer methods of integration. a. The cross sections of a solid of revolution can be either washers or disks. b. Examples of solids of revolution include the sphere, cone, and cylinder.
c. The disk method is appropriate in finding the volume of a solid obtained through the rotation of the region bounded by a function with respect to y about the x-axis. d. The volume of a solid of revolution obtained through rotation about the horizontal line y = c involves integration with respect to x. e. The washer method is appropriate in finding the volume of a solid obtained through the rotation of the region bounded by a function y = f(x) about the x-axis.

Answers

The following are the true statements regarding the disk and washer methods of integration:

a. The cross sections of a solid of revolution can be either washers or disks.

b. Examples of solids of revolution include the sphere, cone, and cylinder.

e. The washer method is appropriate in finding the volume of a solid obtained through the rotation of the region bounded by a function y = f(x) about the x-axis.

Disk method of integration: This method is appropriate in Calculus  for finding the volume of a solid obtained by revolving a region bound by a function, y = f (x) about the horizontal axis x. The method takes a slice of the solid perpendicular to the x-axis. The cross-section of the solid obtained by slicing it perpendicular to the x-axis will be a circular disk of radius f (x).

Washer method of integration: The washer method is appropriate for finding the volume of a solid obtained by revolving a region bound by a function, y = f (x), about a horizontal axis. The method involves taking a slice of the solid perpendicular to the x-axis. The cross-section of the solid obtained by slicing it perpendicular to the x-axis will be a circular washer with an inner radius of g (x) and an outer radius of f (x).

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How many factors does 144 have?
08
O 12
O 15
06

Answers

Answer:

15

Step-by-step explanation:

1, 4, 2, 3, 6, 8, 16, 9, 12, 18, 24, 36, 48, 72, 144.

Answer:

15

Step-by-step explanation:

1 ,  2 ,  3 ,  4 ,  6 ,  8 ,  9 ,  12 ,  16 ,  18 ,  36 ,  48 ,  72 ,  144

The empire state building stands at a height of 1,454 feet. Given the choice between feet feet per second or miles per hour, which rate of measure is more reasonable to describe the speed of a penny when dropped off the top of the building? Justify your reasoning using mathematical laguage

Answers

Answer:

miles per hour

Step-by-step explanation:

speed can be define as the rate of distance covered in a given time.

i.e speed = [tex]\frac{distance}{time}[/tex]

Given that the height (distance) of the empire state building = 1454 feet.

a. For feet per second;

distance = 1454 feet

time = 1 second

speed = [tex]\frac{1454}{1}[/tex]

           = 1454 feet/second

b. For miles per hour,

1 feet =  0.000189394 mile

Thus, 1454 feet = 0.2753788 mile

distance = 0.2753788 mile

time = 1 hour

speed = [tex]\frac{0.2753788}{1}[/tex]

           = 0.2753788 miles/hour

Comparing the two units of measurement, miles per hour is more reasonable. This is because the penny can not move at that very high speed to hit the ground within 1 second when dropped.

neptune is an average distance of 4.5×109km from the sun. estimate the length

Answers

We are to estimate the length of the Neptune which has an average distance of 4.5 × 10^9 km from the sun. The length of Neptune can be estimated using the circumference of its orbit.

We are given that Neptune is an average distance of 4.5 × 10^9 km from the sun. To estimate the length of Neptune, we can use the circumference of its orbit. The circumference of Neptune's orbit can be estimated using the formula;

Circumference (C) = 2πr

Where C is the circumference, r is the radius and π is a mathematical constant equal to 3.14.

Since we are given the average distance of Neptune from the sun, we can estimate the length of Neptune using the above formula.Substituting the values given into the formula;

Circumference (C) = 2πr = 2 × 3.14 × 4.5 × 10^9 kmC = 28.26 × 10^9 km

Hence, the circumference of Neptune's orbit is approximately 28.26 × 10^9 km. Since the circumference of a circle is equal to 2πr, we can estimate the radius of the orbit by dividing the circumference by 2π;

r = C / 2π = (28.26 × 10^9 km) / (2 × 3.14) = 4.50 × 10^9 km

Hence, the radius of Neptune's orbit is approximately 4.50 × 10^9 km.

Since Neptune's orbit is almost circular, its length can be estimated using the formula;

Length = 2πrLength = 2 × 3.14 × 4.5 × 10^9 kmLength = 28.26 × 10^9 km

Hence, the length of Neptune is approximately 28.26 × 10^9 km.

Therefore, we can estimate the length of Neptune using the circumference of its orbit which is approximately 28.26 × 10^9 km.

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Spencer built a tower of blocks that was 3.2 centimeters high. He used 2 identical blocks to build the tower. What was the height of each of the blocks?

Answers

Answer:

1.8

Step-by-step explanation:

Hope this helps

nine less than 15 times a number is 6 write as a equation

Answers

Let the number = x

You have 15 times the number so that is 15x

9 less would be subtracting 9:

15x -9

Is 6 means the equation equals 6:

The equation is: 15x-9 = 6

A rectangular mural measures 1.3 feet by 4.8 feet. harmony creates a new mural that is 0.6 feet longer. what is the perimeter of harmony`s new mural?

Answers

The Perimeter of Harmony's new mural is 13.4 feet.

To determine the perimeter of Harmony's new mural, we need to use the formula for the perimeter of a rectangle, which is:P = 2l + 2w

where P represents the perimeter, l represents the length, and w represents the width of the rectangle. The units of measurement are in feet.

Given that the rectangular mural measures 1.3 feet by 4.8 feet, we can plug these values into the formula to find the perimeter of the original mural:P = 2(1.3) + 2(4.8)P = 2.6 + 9.6P = 12.2

Therefore, the perimeter of the original mural is 12.2 feet.

Now, Harmony creates a new mural that is 0.6 feet longer than the original mural. This means that the length of the new mural is 1.3 + 0.6 = 1.9 feet.

To find the perimeter of the new mural, we need to plug this new length into the same formula:P = 2l + 2wP = 2(1.9) + 2(4.8)P = 3.8 + 9.6P = 13.4

Therefore, the perimeter of Harmony's new mural is 13.4 feet.

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A garden table and a bench cost $781 combined. The garden table costs $69 less than the bench. What is the cost of the bench?

Answers

Answer:

$425

Step-by-step explanation:

x = bench

x - 69 = garden table

x + (x - 69)=781

x + x - 69 =781

2x - 69 = 781

2x -69 +69 = 781 + 69

2x = 850

2x/2 = 850/2

x = 425

Bench = 425

Answer: £425?

Step-by-step explanation:

x = bench

x - 69 = garden table

x + (x -69) = 781

2x - 69=781

+ 69 both sides

2x = 850

x = 425

Solve for v. 23= -81-7+2v​

Answers

Answer:

v = 55.5

Step-by-step explanation:

23 = -81 - 7 + 2v

23 = -88 + 2v

23 + 88 = -88 + 88 + 2v

111 = 0 + 2v

111 = 2v

111 ÷ 2 = 2v ÷ 2

55.5 = 1v

55.5 = v

Answer:

v = 55.5

Step-by-step explanation:

23 = -81 - 7 + 2v

1. Simplify by combining like terms

23 = -88 + 2v

2. Isolate the variable by adding 88 to both sides

23 + 88 = -88+ 88 +2v

23 + 88 = 2v

3. Combine like terms

111 = 2v

4. Solve for v by dividing both sides by 2

111/2 = 2v/2

55.5 = v

One uranium atom has a diameter of 3.5x10^-8 centimeters. What is the sum of 10,000 uranium atoms'
diameters, in centimeters, written in standard notation?

Answers

Answer:

3.5 * 10^-4 centimeters

Step-by-step explanation:

Here, we have one uranium atom having a diameter of 3.5 * 10^-8 centimeters.

We now want to find the sum of 10,000 uranium atoms diameters

Mathematically;

That would be ;

3.5 * 10^-8 * 10,000

But 10,000 = 10^4

Thus, we have

3.5 * 10^-8 * 10^4

= 3.5 * 10^-4 centimeters

Find the unit rate. _____ (number) per ounce
$1.29 for 20.5 oz.

Answers

Answer:

15.8914728682 is the long answer, but simplified, it's 15.9

Step-by-step explanation:

Just do 20.5 ÷ 1.29

a cylindrical brass pipe is 600 cm in length. its outside diameter is 10 cm, and its inside radius is 4 cm. what is the total surface area of this pipe (including the internal surface area of this pipe)?

Answers

The total surface area of the cylindrical brass pipe, including the internal surface area, is [tex]10841π cm^2[/tex], where π is approximately 3.14159.

To calculate the total surface area of the cylindrical brass pipe, we need to consider both the external and internal surface areas.

The external surface area of a cylinder is given by the formula:

A_external =[tex]2πrh + πr^2[/tex]

Where:

r is the radius of the outer surface (half of the outside diameter), which is 10 cm / 2 = 5 cm

h is the height of the cylinder, which is given as 600 cm

Plugging in the values:

A_external = [tex]2π(5 cm)(600 cm) + π(5 cm)^2[/tex]

= [tex]2π(3000 cm^2) + π(25 cm^2)[/tex]

= [tex]6000π cm^2 + 25π cm^2[/tex]

= [tex]6025π cm^2[/tex]

The internal surface area of a cylinder is given by the formula:

A_internal = [tex]2πrh + πr^2[/tex]

Where:

r is the radius of the inner surface (inside radius), which is given as 4 cm

h is the height of the cylinder, which is given as 600 cm

Plugging in the values:

A_internal = [tex]2π(4 cm)(600 cm) + π(4 cm)^2[/tex]

= [tex]2π(2400 cm^2) + π(16 cm^2)[/tex]

= [tex]4800π cm^2 + 16π cm^2[/tex]

= [tex]4816π cm^2[/tex]

To find the total surface area, we add the external and internal surface areas:

Total surface area = A_external + A_internal

= [tex]6025π cm^2 + 4816π cm^2[/tex]

= [tex]10841π cm^2[/tex]

Therefore, the total surface area of the cylindrical brass pipe, including the internal surface area, is [tex]10841π cm^2[/tex], where π is approximately 3.14159.

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PLEASE HELP IM CONFUSED! Find what the measurements of angles a-c are and state the reason

Answers

Answer:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

Step-by-step explanation:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

How do you get the answer to this question?

Answers

Answer:

2 small notebooks and 4 large notebooks

Step-by-step explanation:

$8 × 2 = $16

$10 × 4 = $40

2 + 4 = 6

$40 + $16 = $56

Hope that helps.

(8x2)+(10x4)=$56. And 4 large notebooks + 2 small notebooks equals 6 total notebooks.
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