I
For each of the following functions find f(-x) and -f(x), then determine whether it
is even, odd or neither. Justify your answer.
f(x)=x^3-7/x
f(x)=|-x|
f(x)=25-x^3
f(x)=72-x^4

Answers

Answer 1

By using the definition of even and odd functions, we will see that:

a) oddb) even.c) neitherd) even.What is an odd and an even function?

A function f(x) is even if:

f(x) = f(-x)

And the function is odd if:

f(-x) = -f(x).

Now let's check it for all the given functions.

a) f(x) = x^3 - 7/x

-f(x) = -x^3 + 7/xf(-x) = (-x)^3 - 7/(-x) = -x^3 + 7/x

So this function is odd.

b)  f(x) = |-x|

-f(x) = -|-x|f(-x) = |-(-x)| = |x| = |-x|

This function is even.

c) f(x)=25-x^3

-f(x) = -25 + x^3f(-x) = 25 - (-x)^3 = 25 + x^3

This function is neither odd nor even.

d) f(x) = 72-x^4

-f(x) = -72 + x^4f(-x) = 72 - (-x)^4 = 72 - x^4 = f(x)

This function is even.

If you want to learn more about odd and even functions, you can read:

https://brainly.com/question/2284364


Related Questions

In a survey of 950 people, it was found that 420 people prefer Pepsi, 380 people prefer Coca Cola, and
the remaining people prefer other drinks, what percentage of the people prefer Pepsi and Coca Cola?

Answers

Answer:

84.2%

Step-by-step explanation:

420 + 380 = 800

800 / 950 = .842

.842 * 100 = 84.2

84.2 = 84.2%

Marvin has a vintage comic book worth $351. According to a dealer, the value of this particular comic book will increase by 12.1% each year. How much will the comic book be worth in 13 years?
If necessary, round your answer to the nearest cent.

Answers

y = 12.1% x 13 + 351
y= 0.012 x 13 + 351
y= 1.573 + 351
y= 352.573 or $352.6

the restaurant is 7.5 feet high and 22 feet long. find the volume of a cone restaurant

Answers

Answer:

950.331ft^3

Step-by-step explanation:

I hope this is correct...

I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.

Identify the area of the polygon with vertices t(6,5), a(8,−1), s(4,−2), and k(−1,4).

Answers

Answer:

  36.5 square units

Step-by-step explanation:

There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.

__

Geometry

The figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...

  A = 1/2bh

Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...

  A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5

The area of the bounding rectangle is ...

  A = bh = 9×7 = 63

So, the area of the figure is the difference ...

  A = 63 -26.5 = 36.5 . . . square units

__

The other methods of finding the area have been added as attachments.

Only 0.6% of the students at a high school did not attend the first football game. Write 0.6% as a fraction and as a decimal

Answers

Answer:

here my answer

Step-by-step explanation:

hope this helps

I will give braniest An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?

A.
5 in.3

B.
7 in.3

C.
19 in.3

D.
29 in.3

Answers

7 in.3 hope it helps

1. a) Solve the following linear-quadratic system of equations graphically.
y + 2x²– 8x – 1= 0
y+ 2x – 9= 0

b.) GRAPH

c.) Verify your solution (s) algebraically.

Answers

Answer:

please see explanation

Step-by-step explanation:

look at the photo

A set of stacked plates for serving weighs 12kg . If each plate weighs 1/2 kg how many plates are in the stack?​

Answers

Answer:

24

Step-by-step explanation:

12 divided by 1/2 = 24

Hope this helped! :)

Help as soon as possible thanks

Answers

6x11=66ft
3x14=42ft

Add the answers together
42+66
= 108 squared feet

Hong purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Hong paid.

Answers

Answer:

5n=c

Step-by-step explanation:

the equation 5n=c can represent the total cost Hong would have paid for the notebooks because given that each notebook costs $5, you would multiply 5 by the number of notebooks (n) that Hong would be purchasing, which would bring you to the cost (c) of the notebooks all together

sorry for the delay. hope this helps

Which type of data would be considered qualitative data?

Answers

The type of data which would be considered as the qualitative data is the smell of the plant.

What is qualitative data?

The qualitative data is the data which describes the quality or the characteristics of a thing.

Qualitative data can be felt rather than measure. The data of color of hairs of cricket team player is an example of qualitative data.

The options for the problem are listed below.

Mass of a plant- It is a type of quantitative data which can be measured in kg.Height of a plant-This type of data is quantitative data which can be measured in m or ft.Smell of a plant-The smell of a plant can be filled and considered as qualitative data. Volume of water-This is also a type of quantitative data.

Thus, the type of data which would be considered as the qualitative data is the smell of the plant.

Learn more about the qualitative data here

https://brainly.com/question/24492737

Write 9.33 as a mixed number and as an improper fraction. Do not try to simplify your answers.​

Answers

Answer:

Improper Fraction:
933/100

Mixed Number:
9 33/100


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Write an equation for the nth term of this sequence: 1/8, 1/4, 1/2, 1..

Answers

Answer:

[tex]a_n=\frac{1}{8} (2^{n-1})[/tex]

Step-by-step explanation:

This is a geometric sequence.  You start with the first term, 1/8, then multiply it by 2 to get 1/4, then double that to get 1/2, etc.

The number you multiply by is called the common ratio.  In this case, the common ratio is 2.

A formula for the general (nth) term is:  [tex]a_n=a_1 r^{n-1}[/tex].

[tex]a_1=1/8\\r=2[/tex]

So the nth term is [tex]a_n=\frac{1}{8} (2^{n-1})[/tex]

The football team played 15 games this season and won three more games than it lost. How many games did the team lose?

Answers

w = won game

l = lost game

w + l = 15

and

w = I + 3

so

l + 3 + l = 15

2l = 12

l = 6

lost = 6

won = 9

Answer:

The ratio of wins to losses is 3 to 1, out of 32 total games. 3:1 has a total of 4 parts (3+1).

Total games divided by total parts is 32/4 = 8.

Now multiplying number of parts to divisor gives us 3x8 : 1x8 or 24:8. Therefore they won 24 games, lost 8.

Step-by-step explanation:

ethan puts 1/3 pound of dog food into dog bowls every time he fills it. How many times can ethan fill his dog's bowl with 5 pounds of dog food?

Answers

Answer: Ethan can fill the bowl(s) 15 times.

Step-by-step explanation:

It would be 15 pounds, but if you’re thinking about how the questions phrased, he can only fill the bowl up once with 5 pounds of dog food because then he would be filling it up with 4 and 2/3 of dog food

The local college has a swimming pool that measures 50m long and 25m wide if u swam from one corner to the other how far would u swim

Answers

Answer:

55.9 m

Step-by-step explanation:

If you swam from one cornee to the other, you divide the rectangle into 2 right triangles

the diagonal is a common hypothenus of the triangles

applying pytha

C² = A² + B²

C² = 25² + 50²

C² = 625 + 2500

C² = 3125

C = sqrt 3125

C = 55.9 m

Answer:

105 cubic meters

Step-by-step explanation:

Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope.

Answers

coordinates: (4, 7) and (4, –3)

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_2}[/tex]

find slope:

[tex]\rightarrow \sf \dfrac{-3-7}{4-4}[/tex]

undefined

Here the slope is undefined

equation : x = 4

The line is a vertical line meaning no y-intercept.

9,000 were divided equally among a certain no of persons . had there been 20 more person each would have got rupees 160 . find the original no of persons​

Answers

Answer:

let the number of persons be " x "

and , let each person get [tex]\frac{9000}{x}\\[/tex]rupees.

______________________________________

let's first see why each person got [tex]\frac{9000}{x}\\[/tex] rupees ,

let us suppose each person gets an amount of " r " rupees.

then ,

[tex]x \times r = amount \: we \: have \: with \: us \\ \dashrightarrow{xr = 9000} \\ \dashrightarrow{ r = \frac{9000}{x}} [/tex]

_____________________________________

According to Question ,

hαd thєrє вєєn 20 mσrє pєrѕσnѕ, єαch pєrѕσn wσuld'vє gσt rupєєѕ 160 lєѕѕ.

hєncє, wє αrє nσw ín α ѕtαtє tσ frαmє αn єquαtíσn whích íѕ αѕ fσllσwѕ -

[tex]\fbox{(x + 20)(r - 160) = 9000}[/tex]

lєt'ѕ nσw plug ín thє vαluє σf r αѕ [tex]\frac{9000}{x}\\[/tex]

[tex](x + 20)( \frac{9000}{x} - 160) = 900 0\\ \\ \cancel{9000} + \frac{180000}{x} - 160x - 3200 =\cancel{ 9000} \\ \\ taking\:LCM, \\ \\ - 160x {}^{2} - 3200x + 180000 = 0 [/tex]

on dividing the complete equation by (- 160)

[tex]x { }^{2} + 20x - 1125 = 0[/tex]

now , use the method of splitting the middle term so that we get the value of x.

[tex]x {}^{2} + 45x - 25x - 1125 = 0 \\ \\ x(x + 45) - 25(x + 45) \\ \\ (x + 45)(x - 25) = 0 \\ \\ \fbox{x = - 45 \: \: or \: \: 25}[/tex]

since number of persons can't be negative. therefore ,

number of persons = x = 25

_____________________________

_____________________________

hope helpful :D

A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?

Answers

The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:

6= πd and then divide both sides of the equation by π you get that d = 1.90

To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:

1 = 0.9549θ

Answer:

60

Step-by-step explanation:

1/6 x 360

Central angle is equal to measure of intercepted arc.

60 degrees

I will give BRAINILEST

Answers

Answer:

The players club is playing with the players

Step-by-step explanation:

give me a good Answer to my Question

What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2

If the half-life of that substance is 22 days, and only 1/4 of it remains, how many days have elapsed?
A- 11 days
B-22 days
C-44 days
D-88 days

Answers

Answer:

11

Step-by-step explanation:

if half of it is 22, then a whole life is 44 days. 1/4 of 44 days is 11 days so its A

Answer:

the answer is A (11 days)

Step-by-step explanation:

Hope this helps you!

can someone help me plsea and i mean if its right what i wrote?

Answers

Answer:

Area = 201.1

Cicumference = 50.27

Your answers are correct

Step-by-step explanation:

A = Area = ?

C = Circumference = ?

SInce both the "Area" and "Circumference" are unknown, we use the formula:

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi { d }^{ 2 }}[/tex]

Remember that:

The diameter is the length of the line through the center

and

The radius is half the diameter

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi {( 16) }^{ 2 }}[/tex]

Calculate 16 to the power of 2 and get 256

[tex]\mathrm{A = \dfrac{ 1 }{ 4 } \pi \times 256}[/tex]

Multiply [tex]\frac{1}{4}[/tex] and 256 to get  [tex]\frac{256}{4}[/tex]

[tex]\mathrm{A = \dfrac{ 256 }{ 4 } \pi}[/tex]

Divide 256 by 4 to get 64

[tex]\mathrm{A=64\pi }[/tex]

Multiply 64 and π to get 201.06192983

[tex]\mathrm{A=201.06192983}[/tex]

Round to the nearest tenth and get 201.1

[tex]\mathrm{A=201.1}[/tex]

Next we need to find the "Circumference"

Formula for finding circumference is:

C = πd

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

C = π(16)

Multiply 16 and π to get 50.265482457

C = 50.265482457

Round to the nearest hundreth and get 50.27

C = 50.27

So, your answers are correct.

The only mistake that could happen is whether you need to round to the nearest hundreth or tenth.

Help me please 4 questions 50 points this is due today

Answers

Answer:

Q15: A

Q12: A,C,D

Q13: B

Q14: C

Answer:

1) Left 5, Down 1

2) A, C, D

3) B

4) D

Step-by-step explanation:

Desmos graphing calculator will help you with all of these.

PLEASE HELP ME ASAP!! 20 POINTS

Answers

Answer:

44%

Step-by-step explanation:

25 divided by the eleven students is .44

Answer:

It would be 44%.

Step-by-step explanation:

There are 11 boys and 25 students in total. That would make it 11/25. That is 44 out of 100. Which is 44%.

Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at random in the shaded area is exactly 0. 8. Explain your reasoning.

Answers

12 shade out of 15 boxes which gives 0.8 chance of picking a shaded one.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

There are 15 sections given

To make the probability of choosing a shaded section randomly 0.8,

So,

0.8 of 15

0.8 is equal to 80%

we need to figure out 80% of the 15

80% of 15

80% × 15

= 12

Hence, we would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one.

Learn more about probability;

brainly.com/question/795909

Question 2 (Multiple Choice Worth 1 points)
(04.02 MC)
3
What is the y-intercept of the line perpendicular to the line y = - x + 5 that includes the point (-3,-3)?
4
O
Aiw
4
01
07
O
21
4

Answers

Answer:

y- intercept = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{4}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , then equation of perpendicular line is

y = [tex]\frac{4}{3}[/tex] x + c

to find c substitute (- 3, - 3 ) into the equation

- 3 = - 4 + c ⇒ c = - 3 + 4 = 1

that is the y- intercept of the perpendicular line is c = 1

I AM BEGGING. PLEASE HELP

Answers

Answer:

84cm³

Step-by-step explanation:

Volume of the right triangular prism:

Note: V=l*w*h

L=3cm

W=4cm

H=7cm

Then, multiply.

3*4*7=84

84cm³

Therefore, the correct answer is 84cm³.

I hope this helps you! Let me know if my answer is wrong or not.

mia kicked a football. the function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after mia kicked it.

Answers

Answer:

Step-by-step explanation:

f(t)= 20t-5t^2

Answer:

(4,0)

Step-by-step explanation:

I did it on khan and got it right :)

Solve each equation.

5/6x = 35

A. 42
B. 29.16 (continued)
C. 35 5/6
D. 36

[ Please help me!! :( ]

Answers

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

═════════════════════

The answer is A.42

Solution:

[tex] \frac{5}{6}x = 35[/tex]

[tex]x=35\times \left(\frac{6}{5}\right) [/tex]

[tex]x=\frac{35\times 6}{5} [/tex]

[tex]x=\frac{35\times 6}{5} [/tex]

[tex]x=\frac{210}{5} [/tex]

[tex]x=42 [/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

Rick is a car salesman and is paid off of a commission rate of 12%. If he sells $120,000 worth of cars, how much money will he make?

Answers

If Rick was to sell $120,000 worth of cars, he would make approximately $14,400. Hope this helps - Have an amazing rest of your day :)

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