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

True or false. The only coefficients in the equation
O True
O False

Answers

The answer would be true

help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,​

Answers

Answer:

35

Step-by-step explanation:

if not correct I'm very very sorry I tried my best for this</3

The work of a student to solve the equation 3(2x - 4) = 8 + 2x + 6

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

Multiply 6 and −4 to get −24.

−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.

Find the measure of

Answers

Answer:

∠ A = 43°

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent, so

∠ B = ∠ T  = 55°

The sum of the 3 angles in a triangle = 180°

sum the 3 angles in Δ ABC and equate to 180

2x - 9 + 3x + 4 + 55 = 180 , that is

5x + 50 = 180 ( subtract 50 from both sides )

5x = 130 ( divide both sides by 5 )

x = 26

Then

∠ A = 2x - 9 = 2(26) - 9 = 52 - 9 = 43°

What is the rectangular form of theta = 3pi/4?

Please answer this question if you 100% know this answer.

a. x - y = 0
b. x - y = 1
c. x + y = 0
d. x + y = 1

The answer was not a.

Answers

Answer:

  c.  x + y = 0

Step-by-step explanation:

The terminal ray of the angle θ = 3π/4 extends to the upper left through the 2nd quadrant with a slope of -1. It lies on the line ...

  y = -x

  x + y = 0 . . . . . . add x to get this standard form equation

1/2(-4+6x)=1/3x+2/3(x+9)

Answers

Answer:

X=4

Step-by-step explanation:

1. Simplify the expression

2. Multiply the fractions:

3. Break up the fraction:

4. Find the greatest common factor of the numerator and denominator:

5. Factor out and cancel the greatest common factor:

6. Simplify the fraction:

7. Multiply the fractions:

8.Solve by distributing:

9. Simplify the arithmetic:

10.Break up the fraction:

11. Find the greatest common factor of the numerator and denominator:

12. Factor out and cancel the greatest common factor:

13.Combine the fractions:

14. Combine the numerators

15. Find the greatest common factor of the numerator and denominator:

16. Factor out and cancel the greatest common factor:

17. Simplify the right side:

For each value of v, determine whether it is a solution to 59 = 3 - 7v.​

Answers

Answer:

[tex]59=3-7v[/tex]

Subtract 3 from both sides:

[tex]59-3=3-7v-3[/tex]

[tex]56=-7v[/tex]

[tex]-7v=56[/tex]

[tex]v=-8[/tex]

-8 is the only solution.

Answer:

well I think it's -6

Step-by-step explanation:

7×-6=-42+3=39

At a sale this week, a desk is being sold for $285.60. This is 34% of the original price.
What is the original price?

Answers

well, let's say the original price is "x", which namely 100% of the price of the product, we also know that 285.60 is 34% of that.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 285.60&34 \end{array}\implies \cfrac{x}{285.60}=\cfrac{100}{34}\implies \cfrac{x}{285.60}=\cfrac{50}{17} \\\\\\ 17x=14280\implies x = \cfrac{14280}{17}\implies x = 840[/tex]

what is 2x-3 when x=1

Answers

Answer:
-1


Explanation: when there is a number with a letter next to it with nothing between then you multiply that number times the letter then minus what you got from that buy the other number

What is the numerical answer?
length = inches

Answers

Answer:

31.5 inches

Step-by-step explanation:

If 2 centimeters is 9 inches, then 1 centimeter is 4.5 inches. Then, just multiply by 7.

Solve for x given that
4x + 2
7

Answers

Answer:

x = - 1/2 or -0.5

Step-by-step explanation:

Steps on the pic above

Which statement is true?

Answers

The answer is a
Hope this helped!!

HELP!!!! What are the domain and range of the exponential growth function
a . Domain x>-3; Range: All real numbers.
b . Domain: All real numbers; Range: All real numbers.
c . Domain: x>-3; Range: y> -3
d . Domain: All real numbers; Range: y>-3

Answers

Step-by-step explanation:

D is the right answer.

remember, the domain is the interval or set of all valid values of x (the input variable). that means the values from left to right. there is no limitation visible. especially not around x = -3.

the range is the interval or set of valid values of y (the result variable). that means the values from bottom to top. and here we see, that the function never goes below y=-3.

these 2 facts make D the right answer.

A water tank is 50cm by 30cm by 20cm. If 1 litre of water costs 300 taka, what is the total cost to fill up the tank with water?

Answers

50 x 30 x 20 = 30000 cm cubed
There are 1000 cm cubes in one litre
30000/1000 = 30 litres
So 300 x 30
9000 taka

Answer:

Step-by-step explanation:

The volume of the tank= (50x30X20) cm^3

                                       = 30000cm^3

                                       = 30 l

1 l costs 300 tk

therefore 30 l costs= 30X300 taka

                                = 90000 taka

y + y + y + y + ytytyty
Collect like terms

Answers

This would be 4y + 1ytytyty I believe considering they’re all bunched together in the last bit.

For a particular event, 808 tickets were sold for a total of $3110. If students paid $3 per ticket and no student paid $5 per ticket. How many students tickets were sold?

Answers

Jsnsjsjsjsjshsjshshsjsjsjdhshshjxjxjxjsjdjxjdjsjdjdjdjdjddjjddi

A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______

(Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field.

The width of the field is ____________ feet.

The length of the field is ____________ feet.

Answers

Let width be xLength=6x

ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Length=6(85)=510ftWidth=85ft

HELP PLSSSSSSSSSSSSSS

Answers

Answer:

120

Step-by-step explanation:

Answer:

x=17.7

Step-by-step explanation:

Pythagorean theory

a²+b²=c²

16²+7.5²=c²

256+56.25=c²

√312.25=√c²

c=17.7

if there is a 1 4 chance that it will rain for your fourth of july brbeque what is the probability it wont rain

Answers

Answer:

86% chance

Step-by-step explanation:

there is an 86% chance it won't rain because 100%-14%=86%

What is the y intercept of y= 3x + n

Answers

Answer:

Step-by-step explanation:

1

The y intercept would be


(0,3x)

x + 6 - 6x + 10
integers ​

Answers

Answer:

-5x + 16

Step-by-step explanation:

I didn't see a equal sign so I assume that x cannot be x = -5/16

So I combined like terms of x and -6x to get -5x as well as +6 and +10 to get 16.

To get my final answer as -5x + 16.

The answer is -5x + 16

which could be the function graphed below ??

Answers

Answer:

D  [tex]\sqrt{x+4}[/tex]

Step-by-step explanation:

¿Qué fuerza media se requiere para que un objeto de 2 Kg aumente su velocidad de 5 m/s a 12 m/s en una distancia de 8 m?

Answers

Answer:

14.87

Step-by-step explanation:

Para conocer cual es la fuerza que necesita el cuerpo para aumentar su velocidad de 5 m/s a 12 m/s en 8 m

Necesitamos conocer la aceleración y para conocer la aceleración debemos saber cuanto tiempo tarda en recorrer los 8m

Vf = Vo +a(t)

12 = 5 +a(t) -------> Vamos a despejar el tiempo.

t = 7/a

X= Vo(t) +1/2a(t²)

X= 5(7/a)+1/2a( 7/a )²

8 = 35/a+49/2a

a = 7.43 m/s²  

Ahora que conocemos la aceleración podemos calcular la fuerza como:

F = m*a

F = 7.43 * 2 kg.

F = 14.87

A person needs to fill 10 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes. How long to finish filling the remaining jugs?​

Answers

Answer:

15

Step-by-step explanation:

How many hours in a day?​

Answers

Answer:24 hours are in a day

find the point (x,y) on the curve where dy/dx = 0

Answers

a. By the chain rule,

[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx} = \dfrac{dy}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]

Given that [tex]y=e^t+e^{-t}[/tex] and [tex]x=e^{-t}[/tex], we have the derivatives

[tex]\dfrac{dy}{dt} = e^t -e^{-t}[/tex]

[tex]\dfrac{dx}{dt} = -e^{-t}[/tex]

and so

[tex]\dfrac{dy}{dx} = \dfrac{e^t - e^{-t}}{-e^{-t}} = 1-e^{2t}[/tex]

Set this equal to zero and solve for t :

[tex]1-e^{2t} = 0[/tex]

[tex]1 = e^{2t}[/tex]

[tex]\ln(1) = \ln\left(e^{2t}\right)[/tex]

[tex]0 = 2t \ln(e)[/tex]

[tex]0 = 2t[/tex]

[tex]t=0[/tex]

This value of t corresponds to x = e⁰ = 1 and y = e⁰ - 1/e⁰ = 1 - 1 = 0. So the only point on the curve where the derivative dy/dx is zero is (1, 0).

b. Compute the second derivative. Since dy/dx is a function of t, we'll momentarily replace it with f(t). By the chain rule,

[tex]\dfrac{d^2}{dx^2} = \dfrac d{dx} \dfrac{dy}{dx} = \dfrac{df}{dx} = \dfrac{df}{dt}\cdot\dfrac{dt}{dx} = \dfrac{df}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]

We have

[tex]\dfrac{df}{dt} = -2e^{2t}[/tex]

and we've already committed dx/dt. So

[tex]\dfrac{d^2}{dx^2} = \dfrac{-2e^{2t}}{-e^{-t}} = 2e^{3t} [/tex]

Substitute the first and second derivative into the differential equation:

[tex]\left(\dfrac{d^2y}{dx^2}\right)^2 + \dfrac{dy}{dx} - 1 = 0[/tex]

[tex]\left(2e^{3t}\right)^2 + (1-e^{2t}) - 1 = 0[/tex]

[tex]4e^{6t} -e^{2t}= 0[/tex]

[tex]e^{2t} (4e^{4t} - 1) = 0[/tex]

[tex]4e^{4t} - 1 = 0[/tex]

[tex]4e^{4t} = 1[/tex]

[tex]e^{4t} = \dfrac14[/tex]

[tex]\ln\left(e^{4t}\right) = \ln\left( \dfrac14\right)[/tex]

[tex]4t \ln(e) = -\ln(4)[/tex]

[tex]4t = -\ln(4)[/tex]

[tex]t = -\dfrac{\ln(4)}4[/tex]

A refreshment stand makes 5 large servings of frozen yogurt from 8 pints. Graph the line and then write
its equation. Let the x-axis represent the number of pints and the y-axis represent the number of
servings. Use only fractional form, if necessary.

Answers

Answer:

x= (8/5)

Step-by-step explanation:

x= 8÷5

evaluate the equation/expression

x=1.6

then convert to a fraction x= BasePoly 1.6 → 16/10 →8/5

Answer:

Pls help me I think its 5/8

Step-by-step explanation:

Graph the linear equation. X = - 4y​

Answers

Slope is rise .5 run of 2

can someone PLEASE help me with this!? I’ve been trying to find the answer but I just couldn’t find it. I’m behind in math and this was due four days ago!!

Answers

Answer:

{-2}

Step-by-step explanation:

Answer:

B)-2

Step-by-step explanation:

In functions, X is your input. Y is the output unless specifically stated otherwise :P

Brainliest? <3

Write the expression 4^4(4^-7)(4) using a single exponent

Answers

[tex]4^4(4^7)4\implies 4^4\cdot 4^7\cdot 4^1\implies 4^{4+7+1}\implies 4^{12}[/tex]

Answer:

real answer 4^-2

Step-by-step explanation:

just did on edge

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