show that the function F(x)=x3 +2x is odd. show all work and explain

Answers

Answer 1

a function is odd if f(-x) = - f(x)

f(x) = x³ + 2x

and

f(-x) = (-x)³ + 2 * (-x) = - x³ - 2x = - (x³+2x) = - f(x)

Answer 2

Answer:

Step-by-step explanation:

tlk here


Related Questions

Evaluate the function when x= -3, 0, and 1.
f(x) = 5 + 5x - 7

Answers

Answer:

f(-3) = -17

f(0) = -2

f(1) = 3

Step-by-step explanation:

f(-3) = 5 + 5(-3) - 7

5 -15 - 7

-10 - 7

=-17

f(0) = 5 + 5(0) -7

5 + 0 - 7

5 - 7

=-2

f(1) = 5 + 5(1) - 7

5 + 5 - 7

10 - 7

=3

three subtracted from five times a number is -39. what number is?

A) Translate the statement above into an equation that you can solve to answer this question, Do not solve it yet. Use x as your variable.
The equation is _____
B) Solve your equation in part {A} for x
.Answer x=

Answers

Answer:

A) 5x - 3= -39

B) 5x = -39 + 3

5x = -36

x = -36/ 5

x= -7.2

Abby is shooting a rocket off the top of a 128 foot tall building at a velocity of 96 feet per second. The equation to represent this is h(t) = -16t? +960 + 128 where h(t) represents the height of the rocket and t is the time after takeoff.

What is the maximum height of the rocket?
How many seconds does ot take to get to the maximum height?
Find the time it takes (in seconds) for the rocket to crash to the ground.​

Answers

Answer:

  a) 272 feet

  b) 3 seconds

  c) 7.123 seconds

Step-by-step explanation:

A graphing calculator provides an easy way to answer questions about the parameters of a quadratic function. Here the graph shows ...

a) the maximum height is 272 feet

b) it takes 3 seconds to get there

c) the rocket crashes after about 7.123 seconds

__

You can solve this algebraically by rewriting the equation in vertex form.

  h(t) = -16t² +96t +128 . . . . . . given

  h(t) = -16(t² -6t) +128 . . . . . . . factor out leading coefficient

  h(t) = -16(t² -6t +9) +128 -(-16)(9) . . . . complete the square

  h(t) = -16(t -3)² +272 . . . . . . write in vertex form

The vertex of the height function is (3, 272) meaning the rocket reaches a maximum height of 272 feet after 3 seconds.

__

The zero of the function can be found to be ...

  0 = -16(t -3)² +272

  0 = (t -3)² -17 . . . . . . divide by -16

  t -3 = ±√17 . . . . . . add 17, take the square root

  t = 3 +√17 ≈ 7.123106 . . . . . positive time value for h(t) = 0

It takes about 7.12 seconds for the rocket to crash.

a newspaper editor hired a writer for jokes cartoons. the cost for 8 jokes and 6 cartoons is 610usd. the cost of 6 jokes and 8 cartoons is 510usd how much do a joke and a cartoon together cost

Answers

Answer:

a joke and a cartoon together cost $80

c=$15   j=$65

Step-by-step explanation:

j=joke

c=cartoon

8j +6c = 610

6j+8c = 510

    Multiply the first by 8

    Multiply the second by -6

64j +48c = 4880

-36j -48c = -3060

      ADD both (c will cancel)

28j = 1820

j= 65

       PLUG j

8(65) + 6c = 610

520+6c = 610

6c= 90

 c = 15

       j + c   = 65+15 = 80

MATHEMATICS
NEED
SOME
HELP
OF
YOURS
TY<3​

Answers

Answer:

The answer is 157 mm.

Step-by-step explanation:

Given;Diameter (d) = 50 mmπ = 3.14To Find;The circumference of the circle.Formula;C = πd

Now,

C = πd

C = 3.14 × 50 mm

C = 157 mm

Thus, The circumference of the circle is 157 mm.

How many more quarters does
Tommy need before he has $3.00
in quarters?


Answers

Tommy needs 3 more quarters to have a total of $3.00

An amount of R351 is made up with 114 coins (R2 coins and R5 coins only). How many R2 coins are there? How many R5 coin are there?​

Answers

Answer:

41

Step-by-step explanation:

For this, you have to make two equations;

One that calculates the amount of coins

and one that calculates the amount of R

I'm going to set

R2 = x

R5 = y

To make this a bit easier to look at

So to do the number of coins, you want to do this:

x + y = 114

This is saying that the total amount of R2 coins plus the total amount of R5 coins will add up to 114

Then, you want to calculate the worth of them.

2(x) + 5(y) = 351

This is saying that for ever R2 coin there is, it will increase the total by 2, and every R5, it will increase the total by 5. When you add these together, it will come out to 351.

Then you have to solve the system of equations:

x + y = 114

2x + 5y = 351

-2 * (x + y = 114)

2x + 5y = 351

-2x + -2y = -228

2x + 5y = 351

3y = 123

y = 41

Since y is the amount of R5 coins, we know we have 41 R5 coins.

So the answer is

41

In 1994, the moose population in a park was measured to be 4180. By 1999, the population was measured again to be 3480. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t, the years since 1990. P(t)=? What does your model predict the moose population to be in 2002?​

Answers

"If the population continues to change linearly", meaning the pattern or equation is the equation of a straight line.

[tex](\stackrel{x_1}{1994}~,~\stackrel{y_1}{4180})\qquad (\stackrel{x_2}{1999}~,~\stackrel{y_2}{3480}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3480}-\stackrel{y1}{4180}}}{\underset{run} {\underset{x_2}{1999}-\underset{x_1}{1994}}}\implies \cfrac{-700}{5}\implies -140[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4180}=\stackrel{m}{-140}(x-\stackrel{x_1}{1994}) \\\\\\ y-4180 = -140x + 279160 \\\\\\ y = -140x+283340~\hfill \boxed{P(t)=-140t+283340}[/tex]

what if t = 2002?

[tex]P(2002)=-140(2002)+283340\implies P(2002)= 3060[/tex]

(NEED HELP ASAP)An urn contains three red marbles, and six blue marbles. What is the probability of selecting at random, without replacement, two blue marbles?

Answers

Answer:

6/9 or 1/3

Step-by-step explanation:

There is a total of 9 marbles of both colors in the bag.
(3 red marbles + 6 blue marble = 9 marbles)

This means the denominator of your probability will be 9. There are 6 blue marbles in the bag so, in conclusion, the probability that you will take a blue marble out of the bag is 6/9. Also, 6/9 when simplified, is 1/3.




Have a great rest of your day
#TheWizzer

A school band sold 432 tickets for their upcoming spring concert. This represents about 85.5% of the number of tickets sold last year. How many tickets were sold last year? (Round to the nearest whole number)

Answers

Answer: 505
I got chu bro

Help me please, thank you​

Answers

Answer:

Option D is your correct answer

I think it will help.

In a town of 117 000 people, 14000 like to
Watch hockey. What percent of the town's
Populations like to watch hockey?

Answers

Divide number that like hockey by population then multiply by 100:


14,000 / 117,000 = 0.11965

0.11965 x 100 = 11.965%

Round up to 12%

Which angle is an x-intercept for the function y = cos(1)
A.0
B.2
C. £
D. 2£

Answers

Answer: C. [tex]\pi[/tex]

=======================================================

Explanation:

The x intercept always occurs when y = 0.

Use the unit circle to determine that [tex]\cos(\theta) = 0[/tex] when [tex]\theta = \frac{\pi}{2} \text{ and } \theta = \frac{3\pi}{2}[/tex]

So if [tex]x = \pi[/tex], then we have

[tex]y = \cos\left(\frac{1}{2}x\right)\\\\y = \cos\left(\frac{x}{2}\right)\\\\y = \cos\left(\frac{\pi}{2}\right)\\\\y = 0\\\\[/tex]

which shows us that [tex](\pi, 0)[/tex] is the location of one of the infinitely many x intercepts for this function.

Mark rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 18.

Answers

Answer:

1/3

Step-by-step explanation:

Factors of 18 are 1,2,3,6,9

PU
The data set below represents the different costs of a refrigerator at a local home improvement store.
$777, $498, $619. $379. $895, $1,256, $1,052

b. What is the median of the second half of the data? (third quartile) 379
T

Answers

Using the median concept, it is found that the third quartile is of is of $1,052.

What is the median of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the ordered data-set is:

$379, $498, $619, $777, $895, $1,052, $1,256.

Hence, the median of $777 divides the data-set into two halfs:

The first half is: $379, $498, $619.The second half is: $895, $1,052, $1,256.

Hence, the third quartile, which is the median of the second half, is of $1,052.

More can be learned about the median concept at https://brainly.com/question/25215461

Re write the quadratic function in standard form y=(x+5)(x-2)

Answers

Answer:

y = x^2 + 3x - 10

Step-by-step explanation:

x*x + 5*x + -2*x + 5*-2

= x^2 + 3x + -10

PLEASE RATE!! I hope this helps!!

Help help help help help

Answers

Answer:

x = 12

Step-by-step explanation:

Becuase 6/12 = 2 and 9 + 2 = 11

12

Given mſn, find the value of x.
(6x-7)º
m
(4x-10°

Answers

Answer:

x = 3

Step-by-step explanation:

These angles are actually equal to each other

This is because when two lines intersect, the two opposite angles are the same.

Since they are the same, you can set them equal to each other

Like so:

6x - 7 = 4x - 1

Then solve:

6x - 7 = 4x - 1

6x = 4x +6

2x = 6

x = 3

3. In the accompanying diagram, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to
be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches. What is the maximum
number of full cups of water that can be placed into the container without the water overflowing?

Answers

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

How to calculate volume?

Volume of the container = 10 * 15 * 20 = 3000 in³

The volume of the cylinder is:

Volume of cylinder = π * radius² * height = π * 2² * 5 = 62.83 in³

Number of cups that can be placed in container = 3000 in³ / 62.83 in³ = 47.74

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

Find out more on volume at: https://brainly.com/question/1972490

Did i do this right?​

Answers

Answer:

yes

Step-by-step explanation:

THINK SMARTER + Julianna is lining the inside of a basket with fabric.
The basket is in the shape of a rectangular prism that is 29 cm long,
19 cm wide, and 10 cm high. How much fabric is needed to line the
inside of the basket if the basket does not have a top? Explain your
strategy
2

Answers

Answer:

1,511 cm²

Step-by-step explanation:

      We will find the surface area, but not include the top.

      This means we will have five sides to calculate for, see attached.     Please note that the area of a rectangle can be found with A = L * W

[1] 19 cm * 10 cm = 190 cm²

[2] 19 cm * 10 cm = 190 cm²

[3] 29 cm * 10 cm = 290 cm²

[4] 29 cm * 10 cm = 290 cm²

[5] 19 cm * 29 cm = 551 cm²

    Add them all together:

190 cm² + 190 cm² + 290 cm² + 290 cm² + 551 cm² = 1,511 cm²

How to illistrate 1/3×1/2

Answers

Answer:

=1/6

Step-by-step explanation:

thats the answer

follow

heart

brainlest

pleassseee


5 A bag of tiles contains 6 green, 4 yellow, and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile.
Make sure to give your probability as a fraction in simplest form.

Answers

Answer:

3/5

Step-by-step explanation:

6+4+5 = 15

5+4 = 9

9/15 = 3/5

Answer:

3/5

Step-by-step explanation:

Since it given that a bag of tiles contains:

6 green

4 yellow

5 blue

To Find:

If one tile is pulled at random what is the probability of NOT choosing a green tile.

Solve:

knowing that there are a total of 15 tiles {6+5+4=15}

And there is 6 green tiles

Thus, 15 - 6 = 9

Hence, the probability of Not Choosing a green tiles before simplest form is 9/15

GCD - 3

Divide both the numerator and denominator by the GCD

9 ÷ 3/15 ÷ 3

Reduced fraction = 3/5

Therefore, the probability of Not choosing a green tiles is 3/5

~Lenvy~

Use rounding to estimate the product of 5, 555 and 4, 444. Round both numbers to the nearest thousand to find your answer.
The solution is

Answers

Step-by-step explanation:

5,555 can be rounded up to 6,000 because the 5 next to the five thousand will make it go up. while the 4,444 will round to 4,000 . I don't have a clear answer but I hope this helps.

Please help!! I will give brainliest :)

Answers

Answer: I think its 75 percent

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

The shaded is part of the poster 9/12

To convert 9/12 into a percent

100 ÷ 12 = 8.3333333333333

[tex]\frac{9*8.3333333333}{12*8.3333333333} = \frac{75}{100}[/tex]

the functionary f is such that f(x)=7x-6 a)work out the value of f(4) b)hence, or otherwise,work out the value of f^-1(22)

Answers

Answer:

Step-by-step explanation:

a) f(4)=7(4)-6=22.

b) This is equal to 4. Since [tex]f^{-1}(x)=y \implies f(y)=x[/tex], we get that since f(4)=22, [tex]f^{-1}(22)=4[/tex].

Which of the following is equivalent to 1 and
5/8

Answers

1 and 5/8 is equivalent to 13/8

Urgente!!! Doy 20 puntos

Answers

Answer:

74-7, 0, +9

Step-by-step explanation:

Hope this helps

A jar contains 416 coins.1/4 of the coins are £1 coins.
280 of the coins are 20p coins.
The rest of the coins are 10p coins.
Work out the total value of the 416 coins.

Answers

Answer:

it's I think 250

Step-by-step explanation:

it's 250 from me...

What is the probbability of flipping a coin 15 times and getting heads 6 times?

Answers

Answer:

if I'm wrong let me know 25

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