The function f(x) = -2x^5 + x^3 - 7x is an odd function. Which rule is satisfied by this function?
A. f(x) = f(-x)
B. f(x) = -f(x)
C. -f(x) = f(-x)
D. f(x) = f(x)^-1

Answers

Answer 1

[tex]f(x) = -2x^5 +x^3 -7x \\\\-f(x) =-(-2x^5 +x^3 -7x) = 2x^5 -x^3 +7x = x(2x^4 - x^2 +7)\\\\f(-x) = -2(-x)^5 + (-x)^3 -7(-x) = 2x^5 -x^3 +7x = x(2x^4 -x^2 +7) \\\\\\\text{Hence,} ~ -f(x)=f(-x)[/tex]


Related Questions

(4x^2-100)/4x(x-5) divide ​

Answers

Solution:

[tex] \frac{ {4x}^{2} - 100}{4x(x - 5)} \\ = \frac{4( {x}^{2} - 25) }{4x(x - 5)} \\ = \frac{4 ( {x)}^{2} - ( {5)}^{2} }{4x(x - 5)} \\ = \frac{4(x - 5)(x + 5)}{4x(x - 5)} \\ cancel \: \: \: out \: \: \: (x - 5) \: \: \: from \: \: \: both \: \: \: numerator \: \: \: and \: \: \: denominator \\ = \frac{4(x + 5)}{4x} \\ cancel \: \: \: out \: \: \: 4\: \: \: from \: \: \: both \: \: \: numerator \: \: \: and \: \: \: denominator \\ = \frac{x + 5}{x} \\ = \frac{x}{x} + \frac{5}{x} \\ = 1 + \frac{5}{x} [/tex]

Answer:

[tex]1 + \frac{5}{x} [/tex]

Hope it helps.

Do comment if you have any query.

Given the perimeter find the unknown side length. P= 1,000 x =?

Answers

Answer:250

Step-by-step explanation:

a square had 4 sides, the perimeter is 1,000. 1,000/4+250 :)

100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!

Solve 7x2 – 3x – 10 = 0 using the quadratic formula.
Question 15 options:

A)

x = –2, 20∕7

B)

x = 20, –14

C)

image

D)

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Answers

Answer: D is my best guess

Step-by-step explanation:

The variables x and y are related proportionally. When x = 8, y = 14. Find y when x = 48. When x = 48, y = what.

Answers

Y might be 84. Considering 6*8=48, it would probably be the same with Y, so 14*6=84.

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1.79 ÷1.23=

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Answers

Answer:

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Step-by-step explanation:

Round it up to nearest 10. So it's C

Forty six minus twenty​

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Answer:

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Answers

Answer:

9 times

Step-by-step explanation:

1 goes into 9, 9 times

1+1=2

2+1=3

3+1=4

4+1=5

5+1=6

6+1=7

7+1=8

8+1=9

1 goes into 9, 9 times luv

2) The school theater has 17 rows of seats. Each row has 53 seats. Which statement explains how to find the closest estimation of the total number of seats in the theater? A) 17 rounds to 10, 53 rounds to 50, and 10 = 50 = 500 seats. B) 17 rounds to 10, 53 rounds to 60, and 10 x 60 = 600 seats. 9. 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats. D) 17 rounds to 20, 53, rounds to 60, and 20 x 60 = 1,200 seats.​

Answers

Answer: c.) 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats

Step-by-step explanation:

*5 or more, add one more. 4 or less, give it a rest (leave it alone)*

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(the 7 is used to boost the 1 to a 2 since its more than 5, making it 20)

53 rounds to 50

(the 3 is less than 4 so we leave the 5 as is, making it 50).

Therefore, 20x50 = 1000 seats or 20:50=1000

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Answers

Answer:

false

Step-by-step explanation:

3(2×−4)=8+2×+6

Multiply 3 and 2 to get 6.

6(−4)=8+2×6

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−24=8+2×6

Multiply 2 and 6 to get 12.

−24=8+12

Add 8 and 12 to get 20.

−24=20

Compare −24 and 20.

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Answers

Answer:

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Step-by-step explanation:

(2x - 4)^2 can be looked at like this (2x - 4)(2x - 4) which can then be foiled

4x^2 -8x + 16, I presume that there is no equals zero so I don't think I can use the quadratic formula.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Solve
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Answers

we have 46 + (-4) = 46 - 4 = 42

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ok done. Thank to me :>

25.3 + x= 32 what is the answer to this problem

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

hope this helped

A garden table and a bench cost $907 combined. The garden table costs $43 less than the bench. What is the cost of the
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Answers

907 - 43 = 864 / 2 = 432: 907 - 432 = 475

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Answers

Answer:

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Step-by-step explanation:

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What is the expanded form of 14.702

Answers

Answer:

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Answers

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Answers

Answer:

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Step-by-step explanation:

1/5= 1/3 boxes

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Let me know if it does

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Answers

we have -3/8 x 8/15 = -3/8 x 8/ (3x5) = -1/5

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Answers

It’s not my favorite subject. Sometimes it could be easy but other times it could be really difficult for me.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

5.25-1.5 = 3.75

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A

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Answers

Answer:

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Answer:

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Step-by-step explanation:

on edge 2021

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Answers

Answer:

First we should make this word problem into an equation.

.  *  (_poof_)   *,

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Now we can simplify the equation by combining like terms.

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Step-by-step explanation:

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Y=

Answers

Answer:

y=4x+6

Step-by-step explanation:

slope intercept form y=mx+b

The total number of pies Robert can bake, y, depends on the number of cups of sugar he buys, x, according to the following equation:

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The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

According to the following equation, the total number of pies Robert may bake, y, is determined by the number of cups of sugar he purchases, x:

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This equation can be read as: "The number of pies Robert can bake, y, is equal to the number of pies he baked before he ran out of sugar, which is 6, plus the number of additional cups of sugar he buys, x."

For example, if Robert buys 2 additional cups of sugar, he can bake a total of 6 + 2 = 8 pies.

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Answers

Answer:

Step-by-step explanation:

ratio of 5:7 means that 5/(5 + 7) = 5/12 are boys and 7/(5 + 7) = 7/12 are girls

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Answers

Answer:

8 hours

Step-by-step explanation:

23 + 3x = 5x + 7

     - 3x   -3x

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Answer:

BillyBob got it right, well explained..

Step-by-step explanation:

a box contains 3 white balls and 4 black balls. a ball is drawn at random the color is recorded and then the ball is put back in the box. find the probability of the event that at least one of the balls is white

Answers

Answer:

3/7

Step-by-step explanation:

Translate the English phrase into an algebraic expression: the sum of the quotient of 3 and 2m, and the product of 8 and
m.
Enter all quotients as fractions,

Answers

Answer:

[tex]\frac{3}{2m}[/tex]+8m

Answer:

the sum of quotient of 3 and 2m and the product of 8 and m is

(3/2m +8m)

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